forked from pms/uczenie-maszynowe
2210 lines
979 KiB
Plaintext
2210 lines
979 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"### Uczenie maszynowe\n",
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"# 8. Przegląd metod uczenia nadzorowanego – część 1"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"## 8.1. Naiwny klasyfikator bayesowski"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"* Naiwny klasyfikator bayesowski jest algorytmem dla problemu klasyfikacji wieloklasowej.\n",
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"* Naszym celem jest znalezienie funkcji uczącej $f \\colon x \\mapsto y$, gdzie $y$ oznacza jedną ze zdefiniowanych wcześniej klas.\n",
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"* Klasyfikacja probabilistyczna polega na wskazaniu klasy o najwyższym prawdopodobieństwie:\n",
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"$$ \\hat{y} = \\mathop{\\arg \\max}_y P( y \\,|\\, x ) $$\n",
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"* Naiwny klasyfikator bayesowski należy do rodziny klasyfikatorów probabilistycznych"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"<img style=\"float: right;\" src=\"https://upload.wikimedia.org/wikipedia/commons/d/d4/Thomas_Bayes.gif\">\n",
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"\n",
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"**Thomas Bayes** (wymowa: /beɪz/) (1702–1761) – angielski matematyk i duchowny"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"### Twierdzenie Bayesa – wzór ogólny\n",
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"\n",
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"$$ P( Y \\,|\\, X ) = \\frac{ P( X \\,|\\, Y ) \\cdot P( Y ) }{ P ( X ) } $$"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "notes"
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}
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},
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"source": [
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"Twierdzenie Bayesa opisuje związek między prawdopodobieństwami warunkowymi dwóch zdarzeń warunkujących się nawzajem."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"### Twierdzenie Bayesa\n",
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"(po zastosowaniu wzoru na prawdopodobieństwo całkowite)\n",
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"\n",
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"$$ \\underbrace{P( y_k \\,|\\, x )}_\\textrm{ prawd. a posteriori } = \\frac{ \\overbrace{ P( x \\,|\\, y_k )}^\\textrm{ model klasy } \\cdot \\overbrace{P( y_k )}^\\textrm{ prawd. a priori } }{ \\underbrace{\\sum_{i} P( x \\,|\\, y_i ) \\, P( y_i )}_\\textrm{wyrażenie normalizacyjne} } $$"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "notes"
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}
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},
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"source": [
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" * W tym przypadku „zdarzenie $x$” oznacza, że cechy wejściowe danej obserwacji przyjmują wartości opisane wektorem $x$.\n",
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" * „Zdarzenie $y_k$” oznacza, że dana obserwacja należy do klasy $y_k$.\n",
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" * **Model klasy** $y_k$ opisuje rozkład prawdopodobieństwa cech obserwacji należących do tej klasy.\n",
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" * **Prawdopodobieństwo *a priori*** to prawdopodobienstwo, że losowa obserwacja należy do klasy $y_k$.\n",
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" * **Prawdopodobieństwo *a posteriori*** to prawdopodobieństwo, którego szukamy: że obserwacja opisana wektorem cech $x$ należy do klasy $y_k$."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"### Rola wyrażenia normalizacyjnego w twierdzeniu Bayesa\n",
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"\n",
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" * Wartość wyrażenia normalizacyjnego nie wpływa na wynik klasyfikacji.\n",
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"\n",
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"**Przykład**: obserwacja nietypowa ma małe prawdopodobieństwo względem dowolnej klasy, wyrażenie normalizacyjne sprawia, że to prawdopodobieństwo staje się porównywalne z prawdopodobieństwami typowych obserwacji, ale nie wpływa na klasyfikację!"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"### Klasyfikatory dyskryminatywne a generatywne\n",
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"\n",
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"* Klasyfikatory generatywne tworzą model rozkładu prawdopodobieństwa dla każdej z klas.\n",
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"* Klasyfikatory dyskryminatywne wyznaczają granicę klas (*decision boundary*) bezpośrednio.\n",
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"* Naiwny klasyfikator bayesowski jest klasyfikatorem generatywnym (ponieważ wyznacza $P( x \\,|\\, y )$).\n",
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"* Wszystkie klasyfikatory generatywne są probabilistyczne, ale nie na odwrót.\n",
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"* Regresja logistyczna jest przykładem klasyfikatora dyskryminatywnego."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"### Założenie niezależności dla naiwnego klasyfikatora bayesowskiego\n",
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"\n",
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"* Naiwny klasyfikator bayesowski jest *naiwny*, ponieważ zakłada, że poszczególne cechy są niezależne od siebie:\n",
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"$$ P( x_1, \\ldots, x_n \\,|\\, y ) \\,=\\, \\prod_{i=1}^n P( x_i \\,|\\, x_1, \\ldots, x_{i-1}, y ) \\,=\\, \\prod_{i=1}^n P( x_i \\,|\\, y ) $$\n",
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"* To założenie jest bardzo przydatne ze względów obliczeniowych, ponieważ bardzo często mamy do czynienia z ogromną liczbą cech (bitmapy, słowniki itp.)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"### Naiwny klasyfikator bayesowski – przykład"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"slideshow": {
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"slide_type": "notes"
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}
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},
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"outputs": [],
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"source": [
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"# Przydtne importy\n",
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"\n",
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"import ipywidgets as widgets\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import pandas\n",
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"\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"outputs": [],
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"source": [
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"# Wczytanie danych (gatunki kosaćców)\n",
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"\n",
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"data_iris = pandas.read_csv('iris.csv')\n",
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"data_iris_setosa = pandas.DataFrame()\n",
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"data_iris_setosa['dł. płatka'] = data_iris['pl'] # \"pl\" oznacza \"petal length\"\n",
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"data_iris_setosa['szer. płatka'] = data_iris['pw'] # \"pw\" oznacza \"petal width\"\n",
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"data_iris_setosa['Iris setosa?'] = data_iris['Gatunek'].apply(lambda x: 1 if x=='Iris-setosa' else 0)\n",
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"\n",
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"m, n_plus_1 = data_iris_setosa.values.shape\n",
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"n = n_plus_1 - 1\n",
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"Xn = data_iris_setosa.values[:, 0:n].reshape(m, n)\n",
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"\n",
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"X = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n_plus_1)\n",
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"Y = np.matrix(data_iris_setosa.values[:, 2]).reshape(m, 1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"liczba przykładów: {0: 100, 1: 50}\n",
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"prior probability: {0: 0.6666666666666666, 1: 0.3333333333333333}\n"
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]
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}
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],
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"source": [
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"classes = [0, 1]\n",
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"count = [sum(1 if y == c else 0 for y in Y.T.tolist()[0]) for c in classes]\n",
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"prior_prob = [float(count[c]) / float(Y.shape[0]) for c in classes]\n",
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"\n",
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"print('liczba przykładów: ', {c: count[c] for c in classes})\n",
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"print('prior probability:', {c: prior_prob[c] for c in classes})"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"slideshow": {
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"slide_type": "notes"
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}
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},
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"outputs": [],
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"source": [
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"# Wykres danych (wersja macierzowa)\n",
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"def plot_data_for_classification(X, Y, xlabel, ylabel): \n",
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" fig = plt.figure(figsize=(16*.6, 9*.6))\n",
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" ax = fig.add_subplot(111)\n",
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" fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n",
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" X = X.tolist()\n",
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" Y = Y.tolist()\n",
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" X1n = [x[1] for x, y in zip(X, Y) if y[0] == 0]\n",
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" X1p = [x[1] for x, y in zip(X, Y) if y[0] == 1]\n",
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" X2n = [x[2] for x, y in zip(X, Y) if y[0] == 0]\n",
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" X2p = [x[2] for x, y in zip(X, Y) if y[0] == 1]\n",
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" ax.scatter(X1n, X2n, c='r', marker='x', s=50, label='Dane')\n",
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" ax.scatter(X1p, X2p, c='g', marker='o', s=50, label='Dane')\n",
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" \n",
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" ax.set_xlabel(xlabel)\n",
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" ax.set_ylabel(ylabel)\n",
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" ax.margins(.05, .05)\n",
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" return fig"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"średnia: [matrix([[1. , 4.906, 1.676]]), matrix([[1. , 1.464, 0.244]])]\n",
|
||
"odchylenie standardowe: [matrix([[0. , 0.8214402 , 0.42263933]]), matrix([[0. , 0.17176728, 0.10613199]])]\n",
|
||
"(1, 3)\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"XY = np.column_stack((X, Y))\n",
|
||
"XY_split = [XY[np.where(XY[:,3] == c)[0]] for c in classes]\n",
|
||
"X_split = [XY_split[c][:,0:3] for c in classes]\n",
|
||
"Y_split = [XY_split[c][:,3] for c in classes]\n",
|
||
"\n",
|
||
"X_mean = [np.mean(X_split[c], axis=0) for c in classes]\n",
|
||
"X_std = [np.std(X_split[c], axis=0) for c in classes]\n",
|
||
"print('średnia: ', X_mean) \n",
|
||
"print('odchylenie standardowe: ', X_std)\n",
|
||
"\n",
|
||
"print(X_std[0].shape)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Rysowanie średnich\n",
|
||
"def draw_means(fig, means, xmin=0.0, xmax=7.0, ymin=0.0, ymax=7.0):\n",
|
||
" class_color = {0: 'r', 1: 'g'}\n",
|
||
" classes = range(len(means))\n",
|
||
" ax = fig.axes[0]\n",
|
||
" mean_x1 = [means[c].item(0, 1) for c in classes]\n",
|
||
" mean_x2 = [means[c].item(0, 2) for c in classes]\n",
|
||
" for c in classes:\n",
|
||
" ax.plot([mean_x1[c], mean_x1[c]], [xmin, xmax],\n",
|
||
" color=class_color.get(c, 'c'), linestyle='dashed')\n",
|
||
" ax.plot([ymin, ymax], [mean_x2[c], mean_x2[c]],\n",
|
||
" color=class_color.get(c, 'c'), linestyle='dashed') "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from scipy.stats import norm\n",
|
||
"\n",
|
||
"# Prawdopodobieństwo klasy dla pojedynczej cechy\n",
|
||
"# Uwaga: jeżeli odchylenie standardowe dla danej cechy jest równe 0, \n",
|
||
"# to nie można określić prawdopodbieństwa klasy!\n",
|
||
"def prob(x, c, feature, mean, std):\n",
|
||
" sd = std[c].item(0, feature)\n",
|
||
" if sd == 0:\n",
|
||
" print('Nie można określić prawdopodobieństwa klasy dla cechy {}.!'.format(feature))\n",
|
||
" return norm(mean[c].item(0, feature), sd).pdf(x)\n",
|
||
"\n",
|
||
"# Prawdopodobieństwo klasy\n",
|
||
"# Uwaga: tu bierzemy iloczyn dwóch cech (1. i 2.), w ogólności może być ich więcej\n",
|
||
"def class_prob(x, c, mean, std, features=[1, 2]):\n",
|
||
" result = 1\n",
|
||
" for feature in features:\n",
|
||
" result *= prob(x[feature], c, feature, mean, std)\n",
|
||
" return result"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 9,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"(1, 3)\n",
|
||
"[matrix([[0. , 0.8214402 , 0.42263933]]), matrix([[0. , 0.17176728, 0.10613199]])]\n",
|
||
"[matrix([[1. , 4.906, 1.676]]), matrix([[1. , 1.464, 0.244]])]\n",
|
||
"[[1.57003335e-06 1.61965173e-23 3.09005273e-08]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"print(X_std[0].shape)\n",
|
||
"print(X_std)\n",
|
||
"print(X_mean)\n",
|
||
"\n",
|
||
"X_prob_0=class_prob(X, 0, X_mean, X_std)\n",
|
||
"print(X_prob_0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wykres prawdopodobieństw klas\n",
|
||
"def plot_prob(fig, X_mean, X_std, classes, xmin=0.0, xmax=7.0, ymin=0.0, ymax=7.0):\n",
|
||
" class_color = {0: 'r', 1: 'g'}\n",
|
||
" ax = fig.axes[0]\n",
|
||
" x1, x2 = np.meshgrid(np.arange(xmin, xmax, 0.02),\n",
|
||
" np.arange(xmin, xmax, 0.02))\n",
|
||
" for c in classes:\n",
|
||
" fun1 = lambda x: prob(x, c, 1, X_mean, X_std)\n",
|
||
" fun2 = lambda x: prob(x, c, 2, X_mean, X_std)\n",
|
||
" p = fun1(x1) * fun2(x2)\n",
|
||
" plt.contour(x1, x2, p, levels=np.arange(0.0, 1.0, 0.1),\n",
|
||
" colors=class_color.get(c, 'c'), lw=3)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/1042079336.py:11: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p, levels=np.arange(0.0, 1.0, 0.1),\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"draw_means(fig, X_mean)\n",
|
||
"plot_prob(fig, X_mean, X_std, classes)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Prawdopodobieństwo a posteriori\n",
|
||
"def posterior_prob(x, c):\n",
|
||
" normalizer = sum(class_prob(x, c, X_mean, X_std)\n",
|
||
" * prior_prob[c]\n",
|
||
" for c in classes)\n",
|
||
" return (class_prob(x, c, X_mean, X_std) \n",
|
||
" * prior_prob[c]\n",
|
||
" / normalizer)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"source": [
|
||
"Aby teraz przewidzieć klasę $y$ dla dowolnego zestawu cech $x$, wystarczy sprawdzić, dla której klasy prawdopodobieństwo *a posteriori* jest większe:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "skip"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Funkcja klasyfikująca (funkcja predykcji)\n",
|
||
"def predict_class(x):\n",
|
||
" p = [posterior_prob(x, c) for c in classes]\n",
|
||
" if p[1] > p[0]:\n",
|
||
" return 1\n",
|
||
" else:\n",
|
||
" return 0"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 14,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "skip"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"1\n",
|
||
"0\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"x = [1, 2.0, 0.5] # długość płatka: 2.0, szerokość płatka: 0.5\n",
|
||
"y = predict_class(x)\n",
|
||
"print(y) # 1 – To prawdopodobnie jest Iris setosa\n",
|
||
"\n",
|
||
"x = [1, 2.5, 1.0] # długość płatka: 2.5, szerokość płatka: 1.0\n",
|
||
"y = predict_class(x)\n",
|
||
"print(y) # 0 – To prawdopodobnie nie jest Iris setosa"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"source": [
|
||
"Zobaczmy, jak to wygląda na wykresie. Narysujemy w tym celu granicę między klasą 1 a 0:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "skip"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wykres granicy klas dla naiwnego Bayesa\n",
|
||
"def plot_decision_boundary_bayes(fig, X_mean, X_std, xmin=0.0, xmax=7.0, ymin=0.0, ymax=7.0):\n",
|
||
" ax = fig.axes[0]\n",
|
||
" x1, x2 = np.meshgrid(np.arange(xmin, xmax, 0.02),\n",
|
||
" np.arange(ymin, ymax, 0.02))\n",
|
||
" p = [posterior_prob([1, x1, x2], c) for c in classes]\n",
|
||
" p_diff = p[1] - p[0]\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Dla porównania: regresja logistyczna na tych samych danych"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"def powerme(x1,x2,n):\n",
|
||
" X = []\n",
|
||
" for m in range(n+1):\n",
|
||
" for i in range(m+1):\n",
|
||
" X.append(np.multiply(np.power(x1,i),np.power(x2,(m-i))))\n",
|
||
" return np.hstack(X)\n",
|
||
"\n",
|
||
"# Funkcja logistyczna\n",
|
||
"def safeSigmoid(x, eps=0):\n",
|
||
" y = 1.0/(1.0 + np.exp(-x))\n",
|
||
" if eps > 0:\n",
|
||
" y[y < eps] = eps\n",
|
||
" y[y > 1 - eps] = 1 - eps\n",
|
||
" return y\n",
|
||
"\n",
|
||
"# Funkcja hipotezy dla regresji logistycznej\n",
|
||
"def h(theta, X, eps=0.0):\n",
|
||
" return safeSigmoid(X*theta, eps)\n",
|
||
"\n",
|
||
"# Funkcja kosztu dla regresji logistycznej\n",
|
||
"def J(h,theta,X,y, lamb=0):\n",
|
||
" m = len(y)\n",
|
||
" f = h(theta, X, eps=10**-7)\n",
|
||
" j = -np.sum(np.multiply(y, np.log(f)) + \n",
|
||
" np.multiply(1 - y, np.log(1 - f)), axis=0)/m\n",
|
||
" if lamb > 0:\n",
|
||
" j += lamb/(2*m) * np.sum(np.power(theta[1:],2))\n",
|
||
" return j\n",
|
||
"\n",
|
||
"# Gradient funkcji kosztu\n",
|
||
"def dJ(h,theta,X,y,lamb=0):\n",
|
||
" g = 1.0/y.shape[0]*(X.T*(h(theta,X)-y))\n",
|
||
" if lamb > 0:\n",
|
||
" g[1:] += lamb/float(y.shape[0]) * theta[1:] \n",
|
||
" return g\n",
|
||
"\n",
|
||
"# Funkcja klasyfikująca\n",
|
||
"def classifyBi(theta, X):\n",
|
||
" prob = h(theta, X)\n",
|
||
" return prob"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Przygotowanie danych dla wielomianowej regresji logistycznej\n",
|
||
"\n",
|
||
"data = np.matrix(data_iris_setosa)\n",
|
||
"\n",
|
||
"Xpl = powerme(data[:, 1], data[:, 0], n)\n",
|
||
"Ypl = np.matrix(data[:, 2]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Metoda gradientu prostego dla regresji logistycznej\n",
|
||
"def GD(h, fJ, fdJ, theta, X, y, alpha=0.01, eps=10**-3, maxSteps=10000):\n",
|
||
" errorCurr = fJ(h, theta, X, y)\n",
|
||
" errors = [[errorCurr, theta]]\n",
|
||
" while True:\n",
|
||
" # oblicz nowe theta\n",
|
||
" theta = theta - alpha * fdJ(h, theta, X, y)\n",
|
||
" # raportuj poziom błędu\n",
|
||
" errorCurr, errorPrev = fJ(h, theta, X, y), errorCurr\n",
|
||
" # kryteria stopu\n",
|
||
" if abs(errorPrev - errorCurr) <= eps:\n",
|
||
" break\n",
|
||
" if len(errors) > maxSteps:\n",
|
||
" break\n",
|
||
" errors.append([errorCurr, theta]) \n",
|
||
" return theta, errors"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"theta = [[ 4.01960795]\n",
|
||
" [ 3.89499137]\n",
|
||
" [ 0.18747599]\n",
|
||
" [-1.3524039 ]\n",
|
||
" [-2.00123783]\n",
|
||
" [-0.87625505]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Uruchomienie metody gradientu prostego dla regresji logistycznej\n",
|
||
"theta_start = np.matrix(np.zeros(Xpl.shape[1])).reshape(Xpl.shape[1], 1)\n",
|
||
"theta, errors = GD(h, J, dJ, theta_start, Xpl, Ypl, \n",
|
||
" alpha=0.1, eps=10**-7, maxSteps=100000)\n",
|
||
"print(r'theta = {}'.format(theta))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 21,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wykres granicy klas\n",
|
||
"def plot_decision_boundary(fig, theta, Xpl, xmin=0.0, xmax=7.0):\n",
|
||
" ax = fig.axes[0]\n",
|
||
" xx, yy = np.meshgrid(np.arange(xmin, xmax, 0.02),\n",
|
||
" np.arange(xmin, xmax, 0.02))\n",
|
||
" l = len(xx.ravel())\n",
|
||
" C = powerme(yy.reshape(l, 1), xx.reshape(l, 1), n)\n",
|
||
" z = classifyBi(theta, C).reshape(int(np.sqrt(l)), int(np.sqrt(l)))\n",
|
||
"\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xpl, Ypl, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary(fig, theta, Xpl)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n",
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xpl, Ypl, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary(fig, theta, Xpl)\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Inny przykład"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 68,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wczytanie danych (gatunki kosaćców)\n",
|
||
"\n",
|
||
"data_iris = pandas.read_csv('iris.csv')\n",
|
||
"data_iris_versicolor = pandas.DataFrame()\n",
|
||
"data_iris_versicolor['dł. płatka'] = data_iris['pl'] # \"pl\" oznacza \"petal length\"\n",
|
||
"data_iris_versicolor['szer. płatka'] = data_iris['pw'] # \"pw\" oznacza \"petal width\"\n",
|
||
"data_iris_versicolor['Iris versicolor?'] = data_iris['Gatunek'].apply(lambda x: 1 if x=='Iris-versicolor' else 0)\n",
|
||
"\n",
|
||
"m, n_plus_1 = data_iris_versicolor.values.shape\n",
|
||
"n = n_plus_1 - 1\n",
|
||
"Xn = data_iris_versicolor.values[:, 0:n].reshape(m, n)\n",
|
||
"\n",
|
||
"X = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n_plus_1)\n",
|
||
"Y = np.matrix(data_iris_versicolor.values[:, 2]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 69,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"liczba przykładów: {0: 100, 1: 50}\n",
|
||
"prior probability: {0: 0.6666666666666666, 1: 0.3333333333333333}\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"classes = [0, 1]\n",
|
||
"count = [sum(1 if y == c else 0 for y in Y.T.tolist()[0]) for c in classes]\n",
|
||
"prior_prob = [float(count[c]) / float(Y.shape[0]) for c in classes]\n",
|
||
"\n",
|
||
"print('liczba przykładów: ', {c: count[c] for c in classes})\n",
|
||
"print('prior probability:', {c: prior_prob[c] for c in classes})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 70,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 71,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"średnia: [matrix([[1. , 3.508, 1.135]]), matrix([[1. , 4.26 , 1.326]])]\n",
|
||
"odchylenie standardowe: [matrix([[0. , 2.08373127, 0.91459007]]), matrix([[0. , 0.46518813, 0.19576517]])]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"XY = np.column_stack((X, Y))\n",
|
||
"XY_split = [XY[np.where(XY[:,3] == c)[0]] for c in classes]\n",
|
||
"X_split = [XY_split[c][:,0:3] for c in classes]\n",
|
||
"Y_split = [XY_split[c][:,3] for c in classes]\n",
|
||
"\n",
|
||
"X_mean = [np.mean(X_split[c], axis=0) for c in classes]\n",
|
||
"X_std = [np.std(X_split[c], axis=0) for c in classes]\n",
|
||
"print('średnia: ', X_mean) \n",
|
||
"print('odchylenie standardowe: ', X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 72,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/1042079336.py:11: UserWarning: No contour levels were found within the data range.\n",
|
||
" plt.contour(x1, x2, p, levels=np.arange(0.0, 1.0, 0.1),\n",
|
||
"/tmp/ipykernel_532/1042079336.py:11: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p, levels=np.arange(0.0, 1.0, 0.1),\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"draw_means(fig, X_mean)\n",
|
||
"plot_prob(fig, X_mean, X_std, classes)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 73,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 74,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Przygotowanie danych dla wielomianowej regresji logistycznej\n",
|
||
"\n",
|
||
"data = np.matrix(data_iris_versicolor)\n",
|
||
"\n",
|
||
"Xpl = powerme(data[:, 1], data[:, 0], n)\n",
|
||
"Ypl = np.matrix(data[:, 2]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 75,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"theta = [[-10.68893855]\n",
|
||
" [ 5.52671372]\n",
|
||
" [ 5.83188857]\n",
|
||
" [ -0.60754604]\n",
|
||
" [ -0.46068339]\n",
|
||
" [ -2.83369636]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Uruchomienie metody gradientu prostego dla regresji logistycznej\n",
|
||
"theta_start = np.matrix(np.zeros(Xpl.shape[1])).reshape(Xpl.shape[1], 1)\n",
|
||
"theta, errors = GD(h, J, dJ, theta_start, Xpl, Ypl, \n",
|
||
" alpha=0.05, eps=10**-7, maxSteps=100000)\n",
|
||
"print(r'theta = {}'.format(theta))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 76,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xpl, Ypl, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary(fig, theta, Xpl)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 77,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n",
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xpl, Ypl, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_decision_boundary(fig, theta, Xpl)\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Kiedy naiwny Bayes nie działa?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wczytanie danych\n",
|
||
"import pandas\n",
|
||
"import numpy as np\n",
|
||
"\n",
|
||
"alldata = pandas.read_csv('bayes_nasty.tsv', sep='\\t')\n",
|
||
"data = np.matrix(alldata)\n",
|
||
"\n",
|
||
"m, n_plus_1 = data.shape\n",
|
||
"n = n_plus_1 - 1\n",
|
||
"Xn = data[:, 1:]\n",
|
||
"\n",
|
||
"Xbn = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n_plus_1)\n",
|
||
"Xbnp = powerme(data[:, 1], data[:, 2], n)\n",
|
||
"Ybn = np.matrix(data[:, 0]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 35,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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rS01NTf0+f/fu3Xr33Xf17W9/22/7nDlz9Itf/ELbt2/Xj3/8Y/3+97/X1Vdfra6uwCdmaWmphg0b5nvkWGWYExBpA6ksGOw53cFWZ6eUmipVV0tXXmm9oItsqHVFei04gjcAJjBt7DSVFZXJJluvTFeqPVU22VRWVDbokvBUQwzMUgHXYD3xxBOaMGGCpkyZ4rd9wYIF+upXv6oJEybo2muv1UsvvaQ9e/aoqqoq4OusXLlSLS0tvkej2W/+gGgaSGXBQM/5/e+l6dM/D7ZqaqT8/MDtrTAUj2yo9QwkYxtMoizkDSAhLJm8RNWLqlWcV+yb02W32VWcV6zqRdVaMnnJoF6faoh9Cz6Y02RGjhyplJQUNTc3+21vbm5WdnZ20OeeOnVKzz77rNasWdPvzxk3bpxGjhypI0eOaNasWb32p6enKz09PbzOA4msOyDqDrIK//4NWbDKgj2fM3Omd/uQId7MVnew1bO908lQPERHd/b19HOy+/wNdy24nsFbsIW8V62S5s7lnAYQdYVjC1U4tlBtHW1ytbvkSHcMes5Wt4FUQ4zUzzY7S2W40tLSNGnSJG3fvt23zePxaPv27SooKAj63Oeee07t7e361re+1e/P+eCDD/Tpp5/qnHPOGXSfgaQxkEV+Az1n69bewdbp7RmKh2iK1FpwibKQd4yHRFJCGoiNjCEZysrMimjAE49qiFZhqYBLklasWKHHH39cTz/9tA4ePKhbbrlFp06d0qJFiyRJCxcu1MqVK3s974knntC1116rf/iHf/Db3traqjvvvFM7d+7U+++/r+3bt6u4uFgXXHCBZs+eHZP3BCSEgSzyG+g5//ZvwZ9j1htTJI5IrQVn9YW8YzgkkhLSgPXFuhqilVgu4Jo/f74efvhhrVq1ShMnTtS+ffu0ZcsWXyGNhoYGffzxx37POXz4sGpqarR48eJer5eSkqJ33nlHX/3qV5Wbm6vFixdr0qRJqq6uZtggEKqBLPLLwsAws4FkbPt6HSsu5B3p+WxBRLyENIVKgLiJVTVEq7EZhmHEuxNW53K5NGzYMLW0tMjhSJ70KCAp8CK/gea8nH5zOZDnALF0+rnYbTDn5I4dn89tlLxfMEydOtheRlcMfk9rGmo0Y+MMGer7VsQmm6oXVYdWPa2iwhsAbtsWuE+NjZ/PA2VoMhAVG97coKUvL1WKPcWvgEaqPVVdni6VFZUNukCHGYRz/2+5DBcAExnIIr8sDAyzi3T2dSDDbc0gBkMiI1pCOoZZOQB9i3Y1RCsiwxUBZLiQ1AbyjTLfQsOsIp3V6fm88nJvsGWlLG6ks31/19bRpszSzJCqmtltdrWubO1/zgfZc8BUolEN0SzCuf8n4IoAAi4kPbe7/xLZPfcP5DlANLnd3iIQ9fWBb8pPv2nPzfVWzAx2jibSzX8UhkQ2tzYr+5HgS7qcrumOJmVlZvXfMBGCXACmx5BCALE1kEV+rbIwMBPwk0damjermpsb+Ka8e4hdbm7/a8El0tDZKA2JjFoJaasWKgGQsAi4AKAvMSyLDZOYP9+buerrpjzUteAiGbzFUxSriUa1hHSkqkwCQAQwpDACGFIIJKBIDy9DcrLy0FkrVikM1PduZLgARBBDCgFgsNLSvEU9An2b3/OGc9s28940I76sMnS2pxgNiZw2dprKispkk61XpivVniqbbCorKht4sMUafwBMgIALAPoSg7LYgCnFcEhkREtIB8q+TZ3a+/eYoAtADDGkMAIYUggkOIYnIVnFeEjkoEpIMwwYQAwxpBAAIokJ+EhWMR4SmTEkQ1mZWQNbrydRCpUASDhkuCKADBeQ4MhwAdZh5UIlACyDDBcARAoT8AFrsWqhEgAJi4ALAPrCBHwAADBIBFwAEEiMymIDAIDERsAFAIEwAR8AAEQARTMigKIZQAJjAj4AAOiBohkAEClMwAcAAINAwAUAAAAksbaONjW3Nqutoy3eXUlIBFwAAABAEqppqNG8innKLM1U9iPZyizN1LyKeaptqI131xIKARcAAEAMkU2AGazfs14zNs5QZX2lPIZHkuQxPKqsr9T0jdO14c0Nce5h4iDgAgAAiAGyCTCLmoYaLXtlmQwZ6vR0+u3r9HTKkKGlLy/l3IwQAi4AAIAoI5sAM1lbt1Yp9pSgbVLsKVq3c12MepTYCLgAIBH1txAzCzUDMUM2AWbS1tGmzYc39zoXe+r0dGrToU0MfY0AAi4ASDQVFdKECVJjY+D9jY3e/RUVse0XkKTIJsBMXO0uX5a1Px7DI1e7K8o9SnwEXACQSNxuadUqqb5emjmzd9DV2OjdXl/vbUemC4gqsgkwG0e6Q3ZbaCGA3WaXIz34or7oHwEXACSStDRp2zZp3Djp6FH/oKs72Dp61Lt/2zYWbgaijGwCzCZjSIaK84qVak8N2i7Vnqq54+cqY0hGjHqWuAi4ACDR5ORIVVX+QdeOHf7BVlWVtx2AqCKbADNaUbBCXZ6uoG26PF1afsXyGPUosRFwAUAi6hl0FRYSbAFxQDYBZjRt7DSVFZXJJluvczPVniqbbCorKlPh2MI49TCxEHABQKLKyZHKy/23lZcTbAExRjYBZrRk8hJVL6pWcV6xLwtrt9lVnFes6kXVWjJ5SZx7mDhshmEY8e6E1blcLg0bNkwtLS1yOCwyFMDtDj53o7/9AMzv9Dlb3chwAXGx4c0NWvryUqXYU/wKaKTaU9Xl6VJZURk3uIibto42udpdcqQ7yLKGKJz7fzJcyYiS0UDi61kgo7Y2cCENADFBNgFmljEkQ1mZWQRbUUKGKwIsleFyu73BVH194G+6T79Jy82V9u8n0wX0ZPYMcc9gq/v3vK/tAGKKbAJgfWS40DdKRgODY/YMsdstOZ2Bg6qehTScTtbhAuKAbAKQXAi4khElo4GBscKiwmlp0po13gx1oN/j7t//3FxvO75UAQAgqhhSGAGWGlJ4OibUA+GzynA9sw97BADAwhhSiNBQMhoIn1UyxP0FUwRbAADEBAFXMmtslEpK/LeVlCRG9bL+hnIxbwWDwaLCAAAgRARcySqRS0abvagBEgMZYgAAEAICrmQUaK7J1Km9h0lZMeiyQlEDJIZEzhBbBZlsAIAFWDLgeuyxx3Teeedp6NChys/P1+7du/ts+9RTT8lms/k9hg4d6tfGMAytWrVK55xzjjIyMuR0OvWnP/0p2m8jPhK9ZDRl7xELiZwhtgoy2QAAi7BcwFVRUaEVK1Zo9erVeuutt3TppZdq9uzZOnbsWJ/PcTgc+vjjj32Pv/zlL377H3zwQf3kJz/Rhg0btGvXLp155pmaPXu2/va3v0X77cReMpSMtkpRA1hTImeIrYJMNgDAQixXFj4/P19f+cpX9NOf/lSS5PF4lJOTo9tuu0333HNPr/ZPPfWUbr/9dp04cSLg6xmGoTFjxuiOO+7Q9773PUlSS0uLsrKy9NRTT2nBggX99smSZeGToWQ0Ze8RaW63N2tSXx/4XDr9nMvNlfbvt/7vkVlZpTw/El5bR5tc7S450h0sZAwkkYQtC+92u7V37145nU7fNrvdLqfTqbq6uj6f19raqnPPPVc5OTkqLi7WgQMHfPvee+89NTU1+b3msGHDlJ+f3+drtre3y+Vy+T0sJxlKRlPUAJGWDBliqyCTjTiraajRvIp5yizNVPYj2coszdS8inmqbaiNd9cAmIylAq5PPvlEXV1dysrK8tuelZWlpqamgM/Jy8vTk08+qc2bN+u///u/5fF4NHXqVH3wwQeS5HteOK9ZWlqqYcOG+R45/EE3J4oaIBrmz/dmrvr6vc/J8e6fPz+2/UpGlOdHnKzfs14zNs5QZX2lPIZHkuQxPKqsr9T0jdO14c0Nce4hADOxVMA1EAUFBVq4cKEmTpyoK6+8Ui+88IJGjRqln/3sZwN+zZUrV6qlpcX3aOQG3nwoaoBoSoYMsVWQyUaM1TTUaNkry2TIUKen029fp6dThgwtfXkpmS4APpYKuEaOHKmUlBQ1Nzf7bW9ublZ2dnZIrzFkyBBddtllOnLkiCT5nhfOa6anp8vhcPg9YCIUNQCSB5lsxNjaurVKsacEbZNiT9G6neti1CMAZmepgCstLU2TJk3S9u3bfds8Ho+2b9+ugoKCkF6jq6tL+/fv1znnnCNJOv/885Wdne33mi6XS7t27Qr5NWEiiV72HsDnyGQjxto62rT58OZema2eOj2d2nRok9o62mLUMwBmZqmAS5JWrFihxx9/XE8//bQOHjyoW265RadOndKiRYskSQsXLtTKlSt97desWaNXX31VR48e1VtvvaVvfetb+stf/qJvf/vbkiSbzabbb79dP/zhD/Xiiy9q//79WrhwocaMGaNrr702Hm8Rg0FRAyA5kMlGHLjaXb45W/3xGB652i1YVAtAxKXGuwPhmj9/vv76179q1apVampq0sSJE7VlyxZf0YuGhgbZ7Z/Hkf/zP/+jm266SU1NTTr77LM1adIk7dixQxdffLGvzV133aVTp07p5ptv1okTJzRt2jRt2bKl1wLJsIj586W5c/sOprqLGhBsAdYUSia7OxhzOvl9R8Q40h2y2+whBV12m12OdKYcALDgOlxmZMl1uADAyioqvIsab9sWuEBGY6M32FqzhoqRiKh5FfNUWV8ZdFhhqj1VxXnFev7rz8ewZwBiKZz7fwKuCCDgAoA4SIYF3GE6NQ01mrFxhgz1fftkk03Vi6pVOLYwhj0DEEsJu/AxAAA+lOdHHEwbO01lRWWyyaZUu//MjFR7qmyyqayojGALgA8BFwAAQBiWTF6i6kXVKs4rlt3mvZWy2+wqzitW9aJqLZm8JM49BGAmliuaAQAAEG+FYwtVOLZQbR1tcrW75Eh3KGNIRry7BcCECLgAAAAGKGNIBoEWgKAYUggAAAAAUULABQyU2z24/QAAAEh4BFzAQFRUSBMmeNf6CaSx0bu/oiK2/QIAAICpEHAhNhIpG+R2exdcra+XZs7sHXQ1Nnq319d721npvQEAACCiCLgQfYmWDUpLk7Ztk8aNk44e9Q+6uoOto0e9+7dtYy0gAACAJEbAhehK1GxQTo5UVeUfdO3Y4R9sVVV52wEAACBpEXAhuhI5G9Qz6CosJNgCAACAHwIuRF8iZ4NycqTycv9t5eXWfC8AAACIOAIuxEaiZoMaG6WSEv9tJSV9z1cDAABAUiHgQuwkWjao55DI2trAQycBAACQtAi4EDuJlA3qGWxVVUlTp/YeOmnF9wYAAOKqraNNza3Nautoi3dXEAEEXIiNRMoGud2S0xl4SGTPoZNOp3UqLwIAgLiqaajRvIp5yizNVPYj2coszdS8inmqbaiNd9cwCARciL5EywalpUlr1ki5uYHnn3UHXbm53nZWqrwIAADiYv2e9ZqxcYYq6yvlMTySJI/hUWV9paZvnK4Nb26Icw8xUDbDMIx4d8LqXC6Xhg0bppaWFjkcjnh3x1zcbu+ixvX1gQtknB6M5eZK+/dbJ0Bxu4P3tb/9QKLidwMAwlLTUKMZG2fIUN+35TbZVL2oWoVjC2PYM/QlnPt/MlyIrkTOBvXXVyu9FyBSKiq8X7L0lbFubPTur6iIbb8AwMTW1q1Vij0laJsUe4rW7VwXox4hkshwRQAZrhDwjTeQ+BI5ow0AUdLW0abM0kzfMMJg7Da7Wle2KmNIRgx6hmDIcMF8yAYBiS8tTdq2LfDczJ5zObdt4/ceACS52l0hBVuSd06Xq90V5R4h0gi4ACS3/qpIUmUyPD0rdc6cKe3Y0btwjlXX3wOACHOkO2S3hXZLbrfZ5UhnNJXVEHABSF7MN4qOnkFXYSHBFgD0IWNIhorzipVqTw3aLtWeqrnj5zKc0IIIuAAkJ7dbWrXKO98o0LIE3UPg6uu97ch0hScnRyov999WXk6wBSQAFuWNvBUFK9Tl6QrapsvTpeVXLI9RjxBJBFwAkhPzjaKrsVEqKfHfVlJinfX2APTCorzRM23sNJUVlckmW69MV6o9VTbZVFZURkl4iyLgApC8mG8UeW5374C1tvbzY3zllQRdgAWxKG/0LZm8RNWLqlWcV+yb02W32VWcV6zqRdVaMnlJnHuIgaIsfARQFh6wuNMDhG4EW+GrqJC+/32ps1NqaPA/ho2N0rRp3u2jR0tvvsmxBSyCRXljr62jTa52lxzpDuZsmRRl4QEgHMw3Gjy3W7r3Xm/Q2tAgjR3bd8B67Jg0axbz4gCLYFHe2MsYkqGszCyCrQRBwAUAzDcavLQ0aft2b/aqp+4MYncgdv750v33My8OsIC2jjZtPrxZnZ7OoO06PZ3adGgThTQihSVLEgoBF4DkFmy+UaDqhehbTo53qOD553uDq0Bz4mpqpEOHpPnz491bACFgUd44YMmShEPABSB59Qy2qqqkqVN7F9Ig6ApdTo70+98HX4OLzBZgGSzKG2MsWZKQCLgAJCe3W3I6A1cj7Fm90Onkj1o4mBMHJAwW5Y0xlixJSARcAJJTWpq0Zo2Umxu4uEN30JWb623HH7XQxWtOHHMegKhgUd4YY8mShEPABSB5zZ8v7d/f9x+tnBzvfuYbhS5ec+KY8wBEDYvyxkHPoCvQ8GxYBgEXgOTWX+aKzFbo4jUnjjkPQNSxKG8cMDw7YbDwcQSw8DGApOd2ezNI9fWBv4E9PRjLzfVmDiMZzAYK9roXXGYYDhBRLMobI6dfv7pxHTMNFj4GAMRWvOfEMecBiBkW5Y0BlixJKGS4IoAMFwD8ndsdPJjqb/9g8Y0wAKsjY28JZLgAAPER7zlxzHkAYGUsWZKQLBlwPfbYYzrvvPM0dOhQ5efna/fu3X22ffzxxzV9+nSdffbZOvvss+V0Onu1v/HGG2Wz2fwec+bMifbbAABEWrxK0gNAJMR7eDaiwnIBV0VFhVasWKHVq1frrbfe0qWXXqrZs2fr2LFjAdtXVVXpG9/4hl5//XXV1dUpJydHV111lT788EO/dnPmzNHHH3/sezzzzDOxeDsAgEhhzgOARMCSJQnHcnO48vPz9ZWvfEU//elPJUkej0c5OTm67bbbdM899/T7/K6uLp199tn66U9/qoULF0ryZrhOnDih3/zmNwPqE3O4ACDOmPMAIE6o2picEnYOl9vt1t69e+V0On3b7Ha7nE6n6urqQnqNzz77TB0dHRoxYoTf9qqqKo0ePVp5eXm65ZZb9Omnn/b5Gu3t7XK5XH4PAECcMOcBQBzUNNRoXsU8ZZZmKvuRbGWWZmpexTzVNtTGu2swGUsFXJ988om6urqUlZXltz0rK0tNTU0hvcbdd9+tMWPG+AVtc+bM0S9+8Qtt375dP/7xj/X73/9eV199tbq6ugK+RmlpqYYNG+Z75PBtKQDED3MeAMTY+j3rNWPjDFXWV8pjeCRJHsOjyvpKTd84XRve3BDnHsJMLDWk8KOPPtIXvvAF7dixQwUFBb7td911l37/+99r165dQZ//wAMP6MEHH1RVVZUuueSSPtsdPXpUX/rSl7Rt2zbNmjWr1/729na1t7f7/u1yuZSTk8OQQgCIp3iXpAeQFGoaajRj4wwZ6vsW2iabqhdVq3BsYQx7hlhK2CGFI0eOVEpKipqbm/22Nzc3Kzs7O+hzH374YT3wwAN69dVXgwZbkjRu3DiNHDlSR44cCbg/PT1dDofD7wEAiLN4l6QHkBTW1q1Vij0laJsUe4rW7VwXox7B7CwVcKWlpWnSpEnavn27b5vH49H27dv9Ml49Pfjgg7r//vu1ZcsWTZ48ud+f88EHH+jTTz/VOeecE5F+AwAAwPraOtq0+fBmdXo6g7br9HRq06FNautoi1HPYGaWCrgkacWKFXr88cf19NNP6+DBg7rlllt06tQpLVq0SJK0cOFCrVy50tf+xz/+se699149+eSTOu+889TU1KSmpia1trZKklpbW3XnnXdq586dev/997V9+3YVFxfrggsu0OzZs+PyHgEAAGA+rnaXb85WfzyGR652CqtBSo13B8I1f/58/fWvf9WqVavU1NSkiRMnasuWLb5CGg0NDbLbP48j169fL7fbrX/913/1e53Vq1frBz/4gVJSUvTOO+/o6aef1okTJzRmzBhdddVVuv/++5Wenh7T9wYAAADzcqQ7ZLfZQwq67Da7HOlMO4HFimaYFetwAQAAJId5FfNUWV8ZdFhhqj1VxXnFev7rz8ewZ4ilhC2aAQAAAMTTioIV6vIEXjqoW5enS8uvWB6jHsHsCLgAAACAEE0bO01lRWWyyaZUu//snFR7qmyyqayojJLw8CHgAgAAAMKwZPISVS+qVnFesew27+203WZXcV6xqhdVa8nkJXHuIczEckUzAB8WOQUAAHFSOLZQhWML1dbRJle7S450hzKGZAz+hbm/SThkuGBNFRXShAlSY2Pg/Y2N3v0VFbHtFwAASCoZQzKUlZkVmWCL+5uERJXCCKBKYYy53d6LTX29NG6cVFUl5eR8vr+xUZo5Uzp6VMrNlfbv55sgAIApRDwbgsTB/Y2lUKUQiS0tTdq2zXsxOnrUe/Hp/ibo9IvRuHHedlyMAABxVtNQo3kV85RZmqnsR7KVWZqpeRXzVNtQG++uwSy4v0lYBFywppwc7zc/p1+Uduzwvxj1/GYIAIA4WL9nvWZsnKHK+krfgrkew6PK+kpN3zhdG97cEOceIiRu9+D2h4L7m4REwAXr6nlRKizkYgQAMJWahhote2WZDBm9Fsrt9HTKkKGlLy8l02V2sZxbxf1NwiHggrXl5Ejl5f7bysu5GAEATGFt3Vql2FOCtkmxp2jdznUx6hHC5nZLq1Z551adPsyvW/dwv/p6b7tIZbq4v0kYBFywtsZGqaTEf1tJSd/fQAEAECNtHW3afHhzr8xWT52eTm06tEltHW0x6hnCEo+5VdzfJBQCLlhXz4tcbW3giyEAWFhbR5uaW5u5GbcgV7vLN2erPx7DI1e7K8o9woDFcm4V9zcJh4AL1tTzYlRVJU2d2vtiyEUJgEVR1c76HOkO2W2h3WrZbXY50llaxtRiMbfKTPc3sSgSkiQIuGA9brfkdAa+yPW8GDqdXBAAWA5V7RJDxpAMFecVK9WeGrRdqj1Vc8fPZV0uK4jm3Coz3d+wAHNEEXDBetLSpDVrvIv+BfpGqfuilJvrbcc6FQAshKp2iWVFwQp1ebqCtunydGn5Fctj1CMMSjTnVpnl/iYeRUISHAEXzKm/X965c70rrPf1jVJOjnf//PmR7xsARBFV7RLLtLHTVFZUJptsvTJdqfZU2WRTWVGZCscWxqmHCFks5lbNnx//+xsWYI44Ai6YT6hp7E2bgr8OFwAAFkNVu8S0ZPISVS+qVnFesW9Ol91mV3FesaoXVWvJ5CVx7iH6Fcu5Vf3dv8Ti/oYFmCPKZhiGEe9OWJ3L5dKwYcPU0tIih4MJr4PidnuDqfr6wL/Mp1/wcnO93/IQWAFIEM2tzcp+JDvk9k13NCkrMyuKPUKktXW0ydXukiPdwZwtq0jme5PT31s3gi1J4d3/k+GCuZDGTmxUPAKCoqpd4ssYkqGszCyCLSsxy9yqeGAB5ogg4IL5kMZOTFQ8AvpFVTvApMwwtyoeWIA5Igi4YE6xWOsCsUPFIyBkVLUDTMoMc6uioM/F1VmAOWIIuGBepLETB0NFgZBR1Q5ALARdXN1MCzAnAIpmRABFM6KEiZqJp+cFvLzcOzSB7CXQS21DrdbtXKdNhzbJY3hkt9k1d/xcLb9iOcEWgEFZv2e9lr2yTCn2FL+qqKn2VHV5ulS2e5SWvHIs+YqEhCGc+38Crggg4IoCbswTF4E0EBaq2gGIpJqGGs3YOEOG+g4BbJKqX81R4bO1gf82NzZKTqe3SEiizVsLEVUKYW2ksRMbQ0WBsFDVDkAkhba4eqrW3TY5+YqERAkBF8zF7fZ+YxIok9WzkIbTSXEFK6LiEQAAcRHW4ur1m4Mvrp6EwwgHioAL5pLMa10kAyoeAQAQN652lzyGJ6S2HsMjV7sryj1KDgRcMJ9kXesi0VlhqCgLMwOW0WcpawB9YnH1+CDggjkl6FoXScsKQ0VZmBmwhKClrAEExeLq8UHABSD6zD5UlIWZAUtYv2e9Zmycocr6St+wKI/hUWV9paZvnK4Nb26Icw8B87Pc4uoJMPqEgAtAbJh5qCgLMwOmV9NQo2WvLJMho9eE/05PpwwZWvryUjJdQD8stbh6gow+IeACEDtmHirac2jjzJnSjh29551Rvh6Ii9BKWado3c51MeoRYF1LJi9R9aJqFecV++Z02W12FecVq3pRtZZMXhLnHiqhRp+w8HEEsPAxkEBYmBnx4nYH/9Khv/0JrK2jTZmlmSFVV7Pb7Gpd2crcEyBEpl5cPVDBrZycvrfHUNQXPm5ra9OHH37Ya/uBAwcG8nIAYB4szIx4SJBhM9FCKWsgeky9uHqCjD4JO+B6/vnndeGFF6qoqEiXXHKJdu3a5dtX0nMxUwCwGhZmjo8EmBQ9YAk0bCZaKGUNJLGeQVdhoaWCLWkAAdcPf/hD7d27V/v27dPGjRu1ePFi/epXv5IkMToRgKWxMHN8JHt2h6It/aKUNZDkLD76JOyAq6OjQ1lZWZKkSZMm6Y033tDPfvYzrVmzRjabLeIdBICYsMLCzImI7I5XggybiSbLlbIGEDkWH30SdsA1evRovfPOO75/jxgxQlu3btXBgwf9tgOAZVhhYeZERXbncwkwbCaaLFXKGkDkJMDok5ADrpMnT0qSysvLNXr0aL99aWlpeuaZZ/T73/8+sr0DgFgw+8LMiY7szucsPmwm2ixRyhpA5CTI6JOQy8JPnDhRW7ZsUXZ2drT71K/HHntMDz30kJqamnTppZfq0Ucf1ZQpU/ps/9xzz+nee+/V+++/rwsvvFA//vGPdc011/j2G4ah1atX6/HHH9eJEydUWFio9evX68ILLwypP5SFBxIEZbnji5L8HIMwmLqUNYDBc7u983fr6wNfB0+/XubmSvv3x/RvdFTKwl922WXKz8/XoUOH/Lbv27fPL3iJtoqKCq1YsUKrV6/WW2+9pUsvvVSzZ8/WsWPHArbfsWOHvvGNb2jx4sV6++23de211+raa6/Vu+++62vz4IMP6ic/+Yk2bNigXbt26cwzz9Ts2bP1t7/9LVZvC8BgRaLKnZkXZk4GyZ7dSYBhM7Fk6lLWAAYvkUafGGFYtWqV8Q//8A9GdXW1cfjwYeNrX/uaYbfbjX/+538O52UGZcqUKcayZct8/+7q6jLGjBljlJaWBmz/9a9/3SgqKvLblp+fb/z7v/+7YRiG4fF4jOzsbOOhhx7y7T9x4oSRnp5uPPPMMyH1qaWlxZBktLS0hPt2AETCs88aRm6uYTQ0BN7f0ODd/+yzse0XwtPQYBjjxhmG9Plj3Li+P9dEcvp7P/0997UdAJJFe/vg9kdJOPf/YRXNuO+++7RixQr90z/9k7785S/r5MmTqqurU2VlZXSiwR7cbrf27t0rp9Pp22a32+V0OlVXVxfwOXV1dX7tJWn27Nm+9u+9956ampr82gwbNkz5+fl9vmZ7e7tcLpffA0CcUOUuMSRzdoeiLQDQtwQYfRJywNXc3Kzvfve7+uEPf6iLL75YQ4YM0Y033hh07lSkffLJJ+rq6vKVpe+WlZWlpqamgM9pamoK2r77v+G8ZmlpqYYNG+Z75CTLcBfAjKhyZ30JMil6wBJp2AwAoJeQA67zzz9fb7zxhp577jnt3btX/+///T/dfPPNeuihh6LZP1NauXKlWlpafI/GRL0JAKyCKnfWRXbHa/5874Tvvs7RnBzv/vnzY9svAMCghRxwPfnkk3r77bdVVFQkSZozZ45ef/11rVu3TsuWLYtaB083cuRIpaSkqLm52W97c3Nzn9UTs7Ozg7bv/m84r5meni6Hw+H3ABBnrGFkTWR3PpcAw2YAAL2FHHAtWLCg17bLL79cO3bs0GuvvRbRTvUlLS1NkyZN0vbt233bPB6Ptm/froKCgoDPKSgo8GsvSVu3bvW1P//885Wdne3XxuVyadeuXX2+JgCTSvYqd1ZFdgcAkMBS+28S3HnnnacdO3ZEoi8hWbFihW644QZNnjxZU6ZM0X/913/p1KlTWrRokSRp4cKF+sIXvqDS0lJJ0ne/+11deeWVeuSRR1RUVKRnn31Wb775pn7+859Lkmw2m26//Xb98Ic/1IUXXqjzzz9f9957r8aMGaNrr702Zu8LQAQ0NkolJf7bSkrIcFkB2R0AQIIadMAlSWeffXYkXiYk8+fP11//+letWrVKTU1NvgWZu4teNDQ0yG7/PHE3depU/epXv9J//Md/6Pvf/74uvPBC/eY3v9GXv/xlX5u77rpLp06d0s0336wTJ05o2rRp2rJli4YOHRqz9wVgkHoWXigv9wZb3XO6CLoAAEAc2AzDMOLdCasLZ6VpAFEQqMpdTk7f25NAW0ebXO0uOdIdLAwLAECEhXP/H9Y6XABgOlS581PTUKN5FfOUWZqp7EeylVmaqXkV81TbUBvvrgEAkJQIuABYG1XufNbvWa8ZG2eosr5SHsMjSfIYHlXWV2r6xuna8OaGOPcQAIDkw5DCCGBIIWACbnfwYKq//RZX01CjGRtnyFDfl3SbbKpeVK3CsYUx7BkAJKgk/7uT7BhSCCD5JHmVu7V1a5ViTwnaJsWeonU718WoRwCQwCoqpAkTvHOFA2ls9O6vqIhtv2BKBFwAYHFtHW3afHizOj2dQdt1ejq16dAmtXW0xahnAJCA3G5p1Sqpvt5bmKln0NVdsKm+3tsuwecOo38EXABgca52l2/OVn88hkeudleUewQACSwtTdq27fOCTKcHXT2r427blvAjLNA/Ai4AsDhHukN2W2iXc7vNLkc6c00BYFB6VsGdOVPasSNplyJBcARcAGBxGUMyVJxXrFR78LXsU+2pmjt+LutyAUAk9Ay6CgsJthAQARcAJIAVBSvU5ekK2qbL06XlVyyPUY8AIAnk5Ejl5f7byssJtuCHgAsAEsC0sdNUVlQmm2y9Ml2p9lTZZFNZURkl4QEgkhobpZIS/20lJX1XL0RSIuACEBNtHW1qbm2mQl4ULZm8RNWLqlWcV+yb02W32VWcV6zqRdVaMnlJnHsIAAmkZ4GM2trAhTSQ9Fj4OAJY+BjoW01DjdbWrdXmw5vlMTy+AOCOgjvItkRRW0ebXO0uOdIdzNkCgEjrGWx1z9nqazsSTjj3/wRcEUDABQS2fs96LXtlmVLsKX5rRKXaU9Xl6VJZURlZFwCAtbjd3kWN6+sDB1WnB125udL+/ZSGT0Dh3P8zpBBAVNQ01GjZK8tkyOi1IG+np1OGDC19ealqG2rj1EMAAAYgLU1as8YbTAXKYHVXL8zN9bYj2Ep6BFwAomJt3Vql2FOCtkmxp2jdznUx6hEAABEyf743c9XXcMGcHO/++fNj2y+YEgEXgIhr62jT5sObe2W2eur0dGrToU0U0gAAWE9/mSsyW/g7Ai4gHtzuwe03OVe7Sx7DE1Jbj+GRq90V5R4h2qhCCQBAYARcQKxVVHgn2/ZVLrax0bu/oiK2/YogR7rDV5a8P3abXY50is1YVU1DjeZVzFNmaaayH8lWZmmm5lXMY25eqBL8yxcAAAEXEFtut7RqlbeyUaA1OrorG9XXe9tZ9GYrY0iGivOKey3A21OqPVVzx8+lbLlFrd+zXjM2zlBlfaUvo+kxPKqsr9T0jdO14c0Nce6hySXBly8AAAIuILbS0qRt2wIvjNhz7Y5t2yw9/ntFwQp1ebqCtunydGn5Fctj1CNEElUoBylJvnwBABBwAbHXXS729KBrx46EWyhx2thpKisqk022XpmuVHuqbLKprKiMxY8tiiqUg5REX74AQLJj4eMIYOFjDMjpN1XdEiTYOl1tQ63W7VynTYc2yWN4ZLfZNXf8XC2/YjnBlkW1dbQpszQzpMIodptdrStbGTbal57BVXm5VFKSUF++AEhibnfwL4z6229i4dz/B59gASB6cnK8N1eFpwUd5eUJd3NVOLZQhWML1dbRJle7S450BzffFjeQKpR85n/X8+aiO+PdHXR1Xw8ItgBYXUWFd0j0tm2Br2WNjZLT6V0cOsHXK2NIIRAvjY3eb7JPV1LS9wR6i8sYkqGszCxuvBMAVSgHqK8iGd1fvpwuAb98AZBEmKfqh4ALiIeew4hqawPP5QBMiCqUAxDs5qOxUfrGN/zbf+tbXAcAWBfzVP0QcAGx1vNCU1UlTZ3au5AGN1swMapQhqmvm4/GRmnaNKmhwdtuzBhp7Fjpvfe4DgCwtiQpEhYKAi4gltxu73jlQBeanhcmpzPhU+ywLqpQDkDP3/Fp06Qrrvg82Bo7Vtq5U6qp4csXwOpY1Nyr53WvsDDpgi2JgAuIrbQ07+TQ3NzAF5ruC1NurrddgqfYYW1LJi9R9aJqFecV++Z02W12FecVq3pRtZZMXhLnHppQ9+/4+ed7A62PPvJuHzvWG2jl5PDlC2B1LGruj3mqlIWPBMrCI2wJXCYVyYkqlGHascO/QmltrXdo8emSqIIXkDDcbm8wVV8fOItz+rSC3Fxp//7E/3ufoMvghHP/T4YLiIf+Lq6JfvFFwqEKZRhCrVCak+O9GSPYAqyDYhH+KBImiYALAIDBCWeuRrg3H4l+MwYkIopFeFEkzIeACwCAgQpnrgY3H0DySPZiERQJ80PABQDAQISzsOe990qzZnHzASSTZC4WQZEwPxTNiACKZgBAkgqUtcrJCbx9xw5vgLZtW+AbLopkAIklQYtFhCWBi4SFc/9PwBUBBFwAkMR6Blfl5d4iGIGyWQl88wHgNOFcF2BJVCkEAAtr62hTc2uz2jra4t0VhCKcuRpUKAUSH/M10QMBFwCYRE1DjeZVzFNmaaayH8lWZmmm5lXMU21Dbby7hv4k81wNAJ+jWAQCIOACABNYv2e9Zmycocr6SnkMjyTJY3hUWV+p6Runa8ObG+LcQwQV6tpaABIbxSIQAHO4IoA5XAAGo6ahRjM2zpChvi/HNtlUvahahWMLY9gzhIS5GgB6Yr5mwmMOFwBYyNq6tUqxpwRtk2JP0bqd62LUI4SMuRoAAmG+Jk5jqYDr+PHjuv766+VwODR8+HAtXrxYra2tQdvfdtttysvLU0ZGhsaOHavvfOc7amlp8Wtns9l6PZ599tlovx0AUFtHmzYf3qxOT2fQdp2eTm06tIlCGmbCXA0AQAgsFXBdf/31OnDggLZu3aqXXnpJb7zxhm6++eY+23/00Uf66KOP9PDDD+vdd9/VU089pS1btmjx4sW92m7cuFEff/yx73HttddG8Z0AgJer3eWbs9Ufj+GRq90V5R4hZMzVAACEwDJzuA4ePKiLL75Ye/bs0eTJkyVJW7Zs0TXXXKMPPvhAY8aMCel1nnvuOX3rW9/SqVOnlJqaKsmb4dq0adOAgyzmcAEYqLaONmWWZoYUdNltdrWubFXGkIwY9AwhY64GACSdhJzDVVdXp+HDh/uCLUlyOp2y2+3atWtXyK/TfVC6g61uy5Yt08iRIzVlyhQ9+eSTChaHtre3y+Vy+T0AYCAyhmSoOK9YqfbUoO1S7amaO34uwZYZMVcDABCEZQKupqYmjR492m9bamqqRowYoaamppBe45NPPtH999/faxjimjVr9Otf/1pbt27Vddddp6VLl+rRRx/t83VKS0s1bNgw3yOH6lMABmFFwQp1ebqCtunydGn5Fctj1CMAABApcQ+47rnnnoBFK05/HDp0aNA/x+VyqaioSBdffLF+8IMf+O279957VVhYqMsuu0x333237rrrLj300EN9vtbKlSvV0tLiezRSfQrAIEwbO01lRWWyydYr05VqT5VNNpUVlVESHgAACwo+hiUG7rjjDt14441B24wbN07Z2dk6duyY3/bOzk4dP35c2dnZQZ9/8uRJzZkzR2eddZY2bdqkIUOGBG2fn5+v+++/X+3t7UpPT++1Pz09PeB2ABioJZOXaMLoCVq3c502Hdokj+GR3WZXcV6xll+xnGALAACLinvANWrUKI0aNarfdgUFBTpx4oT27t2rSZMmSZJee+01eTwe5efn9/k8l8ul2bNnKz09XS+++KKGDh3a78/at2+fzj77bIIqADFVOLZQhWML1dbRJle7S450B3O2AACwuLgHXKG66KKLNGfOHN10003asGGDOjo6dOutt2rBggW+CoUffvihZs2apV/84heaMmWKXC6XrrrqKn322Wf67//+b78CF6NGjVJKSooqKyvV3NysK664QkOHDtXWrVv1n//5n/re974Xz7cLIIllDMkg0AIAIEFYJuCSpF/+8pe69dZbNWvWLNntdl133XX6yU9+4tvf0dGhw4cP67PPPpMkvfXWW74KhhdccIHfa7333ns677zzNGTIED322GNavny5DMPQBRdcoLVr1+qmm26K3RsDAAAAkJAssw6XmbEOFwAAAJA8EnIdLgAAAACwGgIuAACQuNzuwe0HgEEi4AIAAImpokKaMEHqa73Mxkbv/oqK2PYLQFIh4AIAAInH7ZZWrZLq66WZM3sHXY2N3u319d52ZLoARAkBFwAAoWJ4mnWkpUnbtknjxklHj/oHXd3B1tGj3v3btnnbA0AUEHABABAKhqdZT06OVFXlH3Tt2OEfbFVVedsBQJRQFj4CKAsPAAnO7fYGU/X1gW/ST8+Y5OZK+/eTMTGT0z+fbgRbAAaBsvAAAEQSw9OsLSdHKi/331ZeTrAFICYIuAAACAXD06yrsVEqKfHfVlLS9/BQAIggAi4AAELVM+gqLCTYMrueGcja2sCZSgCIEgIuAADCwfA06+gZbFVVSVOn9s5UEnQBiCICLgAAwsHwNGtwuyWnM3AGsmem0umkpD+AqCHgAgAgVAxPs460NGnNGm/VyEDDPbuDrtxcbzsKnQCIEsrCRwBl4QEgCQQanpaT0/d2mIPbHTyY6m8/AARAWXgAACKJ4WnW1V8wRbAFIMoIuAAA6A/D0wAAA8SQwghgSCEAJAmGpwEAxJBCAIiIto42Nbc2q62jLd5dgVkwPA2Ijv6G4TJMFxZGwAUAPdQ01GhexTxllmYq+5FsZZZmal7FPNU21Ma7awCQeCoqpAkT+q7y2djo3V9REdt+ARHCkMIIYEghkDjW71mvZa8sU4o9RZ2eTt/2VHuqujxdKisq05LJS+LYQwBIIG63N5iqrw9c5fP0KqC5udL+/WSSYQoMKQSAAahpqNGyV5bJkOEXbElSp6dThgwtfXkpmS4AiJS0NGnbtsDr2fVccmHbNoItWBIBFwD83dq6tUqxpwRtk2JP0bqd62LUIwBIAj2XVpg5U9qxg/Xt+sJ8N8sh4AIAeQtkbD68uVdmq6dOT6c2HdpEIQ0AiKSeQVdhIcFWIMx3syQCLgCQ5Gp3yWN4QmrrMTxytbui3CMASDI5OVJ5uf+28nKCrW5ut7RqlXe+2+lDL7t1D8Gsr/e2I9NlGgRcACDJke6Q3RbaJdFus8uRToEcAIioxkappMR/W0lJ39mcZMN8N8si4AIASRlDMlScV6xUe2rQdqn2VM0dP1cZQzJi1DMASAI9A4ba2sCBRbJjvpslEXABwN+tKFihLk9X0DZdni4tv2J5jHoEAEmgZ7BVVSVNndo7sCDo8mK+m+UQcAHA300bO01lRWWyydYr05VqT5VNNpUVlalwbGGceggkOKqvJR+3W3I6AwcMPQMLp5NzoBvz3SyFgAsATrNk8hJVL6pWcV6xb06X3WZXcV6xqhdVs+gxEC1UX0tOaWnSmjXeRY0DZWe6g67cXG875iV5Md/NUmyGYRjx7oTVhbPSNADraOtok6vdJUe6gzlbQDS53d5gqr4+8LCo04ec5eZK+/dz451o3O7gn2l/+5NJzyGY5eXeYIthhTEVzv0/GS4A6EPGkAxlZWYRbAHRRvU19PeZ8pl7Md/Nkgi4AABA/FF9DQiO+W6WRcAFAADMgeprQN+Y72ZZzOGKAOZwAQAQQTt2eIOtbrW13mFTAJjvZhLM4QIAANZE9TUgOOa7WQ4BFwAAMIeeBQFqaykEAMDyCLgAAED8UX0NQIIi4AIAAPFF9TUACYyACwCSQX83qNzAIp6ovgYggVkq4Dp+/Liuv/56ORwODR8+XIsXL1Zra2vQ58ycOVM2m83vsWTJEr82DQ0NKioq0hlnnKHRo0frzjvvVGdnZzTfCgDETkWFNGFC30OxGhu9+ysqYtsv4HTz50v79/dd+j0nx7t//vzY9gsABslSAdf111+vAwcOaOvWrXrppZf0xhtv6Oabb+73eTfddJM+/vhj3+PBBx/07evq6lJRUZHcbrd27Nihp59+Wk899ZRWrVoVzbcCALHhdkurVkn19YHnv3TPm6mv97Yj04V4ovoagARkmXW4Dh48qIsvvlh79uzR5MmTJUlbtmzRNddcow8++EBjxowJ+LyZM2dq4sSJ+q//+q+A+3/729/qn//5n/XRRx8pKytLkrRhwwbdfffd+utf/6q0EC7urMMFwNQCFSPIyel7OwAACCoh1+Gqq6vT8OHDfcGWJDmdTtntdu3atSvoc3/5y19q5MiR+vKXv6yVK1fqs88+83vdCRMm+IItSZo9e7ZcLpcOHDgQ8PXa29vlcrn8HgBgWj2LDsyc6V1YlmALAICoS413B0LV1NSk0aNH+21LTU3ViBEj1NTU1OfzvvnNb+rcc8/VmDFj9M477+juu+/W4cOH9cILL/he9/RgS5Lv3329bmlpqe67777BvB0AiK3uoKs7yCos9G4n2AIAIKrinuG65557ehW16Pk4dOjQgF//5ptv1uzZszVhwgRdf/31+sUvfqFNmzbpz3/+84Bfc+XKlWppafE9GlkTBIAV5ORI5eX+28rLCbYAAIiiuGe47rjjDt14441B24wbN07Z2dk6duyY3/bOzk4dP35c2dnZIf+8/Px8SdKRI0f0pS99SdnZ2dq9e7dfm+bmZknq83XT09OVnp4e8s8EAFNobJRKSvy3lZSQ4QIAIIriHnCNGjVKo0aN6rddQUGBTpw4ob1792rSpEmSpNdee00ej8cXRIVi3759kqRzzjnH97o/+tGPdOzYMd+Qxa1bt8rhcOjiiy8O890AgEn1LJBRXu4NtrrndBF0AQAQFXEfUhiqiy66SHPmzNFNN92k3bt3q7a2VrfeeqsWLFjgq1D44Ycfavz48b6M1Z///Gfdf//92rt3r95//329+OKLWrhwoWbMmKFLLrlEknTVVVfp4osvVklJif7whz/od7/7nf7jP/5Dy5YtI4sFIDEEqkY4dWrvQhoMjwYAIOIsE3BJ3mqD48eP16xZs3TNNddo2rRp+vnPf+7b39HRocOHD/uqEKalpWnbtm266qqrNH78eN1xxx267rrrVFlZ6XtOSkqKXnrpJaWkpKigoEDf+ta3tHDhQq1Zsybm7w8AIs7tlpzOwNUIe1YvdDpZhwsAgAizzDpcZsY6XABMraLCu6jxtm2Bhw02NnqDrTVrpPnzY98/AAAsJpz7fwKuCCDgAmB6brcUbCH3/vYDAACfhFz4GAAwCP0FUwRbAID+9DfsnGHpARFwAQAAAAiuokKaMKHvAkuNjd79FRWx7ZcFEHABAAAA6Jvb7Z0LXF8fuKptdzXc+npvOzJdfgi4AAAArIohXoiFtDRv4aVAS4n0XHpk2zaGqfdAwAUAAGBFDPFCLPVcSmTmTGnHjt7rPAaqhpvkqFIYAVQpBAAAMeV2e4Op+vrAN7qnZx1yc6X9+8k6IDJOP7e6JWGwRZVCAACARMYQL8RLTo5UXu6/rbw8qYKtcBFwAQAAWBFDvBAPjY1SSYn/tpKSvoe2goALAADAsnoGXYWF8Qm2KN6RHHpmT2trA2dZ4YeACwAAwMriPcQrGYt3JGOA2TPYqqqSpk7tnWUl6OqFgAsAAMDK4jnEKxnXZ0rWANPpDJw97ZlldToT43OOIAIuAAAAq4r3EK9kK96RjAGm5P3c1qzxVrwMNFS1O+jKzfW2s/rnHGGUhY8AysID5tHW0SZXu0uOdIcyhmTEuzvo5nYH/wPc334AvQUa4pWT0/f2WPalvNybZUvE4h1mOu6xxrXch7LwAJJOTUON5lXMU2ZpprIfyVZmaabmVcxTbUNtvLuGZBx+A0Sb2YZ4maV4Rywkc3XI/oKpJAm2wkWGKwLIcAHxtX7Pei17ZZlS7Cnq9HT6tqfaU9Xl6VJZUZmWTF4Sxx4mMRZnBaKnosI7bG3btsA3942N3mBrzRpp/vzY9GnHDm+w1a221ltYIRGxAHBSC+f+n4ArAgi4gPipaajRjI0zZKjvS5lNNlUvqlbh2MI+2yCKknn4DRBtZhriFW4AkgjDz5IpwIQfhhQCSBpr69YqxZ4StE2KPUXrdq6LUY+82jra1NzarLaOtpj+XFNK5uE3QLSZZYhXzy9Q7rtPGjKk7+IdiTCUmAWAESICLgCW1dbRps2HN/sNIwyk09OpTYc2xST4YS5ZH5JpfgeQbHoGW6++Kv3yl1JHh5Sa2nf1QitX8ot3dUhYCgEXAMtytbvkMTwhtfUYHrnaXVHtz/o96zVj4wxV1lf6+uUxPKqsr9T0jdO14c0NUf35phfvxVkBRF6g4h1f+tLnpeI7Oz8PupxO6c9/tn6peBYARpgIuABYliPdIbsttMuY3WaXIz16cyxrGmq07JVlMmT0yrh1ejplyNDSl5cmd6aL4TdA4ulrfabTs9qdnd7hhddfL111lbWz22arDglLIOACYFkZQzJUnFesVHtq0Hap9lTNHT83qutymXUumWkw/AZIXPPneyuM9rUY7rhx3uGFq1dbO9iSWAAYA0KVwgigSiEQP2aoUtjW0abM0syQhjfabXa1rmxNrkWZqVIIJLdErORnpuqQiAuqFAJIGtPGTlNZUZlssvXKdKXaU2WTTWVFZVEtCW+2uWSmwvAbILkl6lBis1SHhCUQcAGwvCWTl6h6UbWK84p9c7rsNruK84pVvag66osem2kumekw/AZIXgwlBiQxpDAiGFIImEdbR5tc7S450h0xHbY3r2KeKusrg5aoT7WnqjivWM9//fmY9cs0GH4DJBeGEiPBMaQQQNLKGJKhrMysmM+RWlGwQl2erqBtujxdWn7F8hj1yGQYfgMkD4YSA34IuAAgAswwlwwATIGhxIAfhhRGAEMKAXSrbajVup3rtOnQJnkMj+w2u+aOn6vlVywn2AKQXBhKjAQWzv1/8MVrAABhKRxbqMKxhXGbSwYApsFQYkASAReAGEjG4CNjSEbSvFcAANA35nABiJqahhrNq5inzNJMZT+SrczSTM2rmKfahtp4dw0AACAmCLgARMX6Pes1Y+MMVdZX+hYF9hgeVdZXavrG6drw5oY49xAAACD6CLgARFxNQ42WvbJMhoxe61J1ejplyNDSl5eS6QIAAAmPgAtAxK2tW6sUe0rQNin2FK3buS5GPQIAAIgPAi6YUltHm5pbm9XW0RbvriBMbR1t2nx4c6/MVk+dnk5tOrSJzxgAACQ0Ai6YCkUWrM/V7vLN2eqPx/DI1e6Kco8AAADih4ALpkGRhcTgSHfIbgvt0mK32eVIZ7FwAACQuAi4YAoUWUgcGUMyVJxXrFR78GX+Uu2pmjt+LmtVAQCAhEbABVOgyEJiWVGwQl2erqBtujxdWn7F8hj1CAAAID4sFXAdP35c119/vRwOh4YPH67FixertbW1z/bvv/++bDZbwMdzzz3naxdo/7PPPhuLtwRRZCERTRs7TWVFZbLJ1ivTlWpPlU02lRWVqXBsYZx6CAAAEBuWCriuv/56HThwQFu3btVLL72kN954QzfffHOf7XNycvTxxx/7Pe677z5lZmbq6quv9mu7ceNGv3bXXnttlN8NulFkITEtmbxE1YuqVZxX7JvTZbfZVZxXrOpF1VoyeUmcewgAABB9wSdZmMjBgwe1ZcsW7dmzR5MnT5YkPfroo7rmmmv08MMPa8yYMb2ek5KSouzsbL9tmzZt0te//nVlZmb6bR8+fHivtoiN7iILoQRdFFmwlsKxhSocW6i2jja52l1ypDuYswUAAJKKZTJcdXV1Gj58uC/YkiSn0ym73a5du3aF9Bp79+7Vvn37tHjx4l77li1bppEjR2rKlCl68sknZRhGn6/T3t4ul8vl98DAUWQhssy4hlnGkAxlZWbx2QEAgKRjmYCrqalJo0eP9tuWmpqqESNGqKmpKaTXeOKJJ3TRRRdp6tSpftvXrFmjX//619q6dauuu+46LV26VI8++mifr1NaWqphw4b5Hjk5OeG/IfihyMLgsYYZAACA+cQ94Lrnnnv6LGzR/Th06NCgf05bW5t+9atfBcxu3XvvvSosLNRll12mu+++W3fddZceeuihPl9r5cqVamlp8T0aGxsH3b9kR5GFwWENMyQVt3tw+wEAiKG4B1x33HGHDh48GPQxbtw4ZWdn69ixY37P7ezs1PHjx0Oae/X888/rs88+08KFC/ttm5+frw8++EDt7e0B96enp8vhcPg9MHgUWRgY1jBDUqmokCZMkPr6oqux0bu/oiK2/QIAoA9xL5oxatQojRo1qt92BQUFOnHihPbu3atJkyZJkl577TV5PB7l5+f3+/wnnnhCX/3qV0P6Wfv27dPZZ5+t9PT0/t8AIooiC+HrXsMsWFn97jXMyBDC0txuadUqqb5emjlTqqqSTh/S3djo3X70qLfd3LlSWlqcOgsAgFfcM1yhuuiiizRnzhzddNNN2r17t2pra3XrrbdqwYIFvgqFH374ocaPH6/du3f7PffIkSN644039O1vf7vX61ZWVur//t//q3fffVdHjhzR+vXr9Z//+Z+67bbbYvK+EBhFFkLDGmZIKmlp0rZt0rhx3qBq5szPM12nB1vjxnnbEWwBAEzAMgGXJP3yl7/U+PHjNWvWLF1zzTWaNm2afv7zn/v2d3R06PDhw/rss8/8nvfkk0/qi1/8oq666qperzlkyBA99thjKigo0MSJE/Wzn/1Ma9eu1erVq6P+foDBYg0zJJ2cHG9m6/Sga8cO/2CrZ+YLAIA4shnB6p8jJC6XS8OGDVNLSwvzuRBTbR1tyizNDHkNs9aVrWQNkRhOz2h1I9gCBsbtDp4R7m8/kITCuf+3VIYLgD/WMEPSysmRysv9t5WXE2wB4aIQDRB1BFwJxoyL3iK6WMMMSamxUSop8d9WUtL3TSOA3noWoun5+9OdSa6v97ZjyQVgQAi4EgSL3iYv1jBD0ulZIKO2NnAhDQDBUYgGiAkCrgTAordgDTMkjZ43gVVV0tSpvQtpEHQBoaEQDRB1FM2IgHgWzahpqNGMjTNkqO+P0SabqhdVxy3DwZpascXxRsJyu71zSerrA98Enh6M5eZK+/fzjTwQKgrRAGGhaEYS6V70NpjuRW9jjWGO8cEaZkhYaWnSmjXeYCrQTWD3N/W5ud52BFtA6ChEA0QNGa4IiFeGy8wlwdfvWa9lryxTij3Fb1HeVHuqujxdKisqY5gbgIGhhHVkcTwhkeECwkSGK0mYddHbmoYaLXtlmQwZfsGWJHV6OmXI0NKXl5LpAjAw/d38ExyEjpLgkChEA0QZAZeFOdIdvgIJ/bHb7HKkxyb7ZuZhjgAQN/2V1I51yW1KgkOiEA0QAwRcFmbGRW/bOtq0+fDmXpmtnjo9ndp0aBPrhQFIDmbMJFESHG635HQGrkbYs3qh00nQDQwQAZfFmW3RW7MOcwSAuDFzJomS4MmNQjRATBBwWZzZFr016zBHAIgbs2eSegZdhYUEW8lk/nzvEgp9fc45Od798+fHtl9AAiHgSgBmWvTWjMMcASDuzJ5JoiR4cqMQDRBVlIWPgHgufNyTGRa9tcJizAAQF2YtvW3WfgGASVEWPomZYdFbsw1zBADTMGMmiZLgABBVBFyICjMNcwQA02hslEpK/LeVlMQvqKEkOABEHUMKI8BMQwrNyAzDHAEg7noGN+Xl3mArXnO43G5vKfr6+sA///T+5uZ6Cycwl8fc3O7gn1F/+zF4fAZJgyGFMBUzDHMEgLgyYyaJkuCJxYxrvSUbPgP0gQxXBJDhAgD0yeyZJL6Rtz6zn2PJgM8g6ZDhAgDALMyeSaIkuPWZfa23ZMBngCDIcEUAGS4AQL/IJCHazDZPMBnxGSSNcO7/CbgigIALiYDiJogpgg8gOlhTLf74DJICQwoBhKymoUbzKuYpszRT2Y9kK7M0U/Mq5qm2oTbeXUOiYmI5ED2RXOvN7R7c/mQ10M+A452wCLiAJLZ+z3rN2DhDlfWV8hgeSZLH8KiyvlLTN07Xhjc3xLmHSDhut7RqlXdieaCqfN3fDNfXe9txgwGEJ1JrvZnlixErBiED+QzMcrwRFQRcQJKqaajRsleWyZChTk+n375OT6cMGVr68lIyXYgsJpYD0dPzd6i2dmDLDpjlixErBiED+QzMcrwRNQRcQJJaW7dWKfaUoG1S7Clat3NdjHqEpNFdle/0m5AdO3qvU8VcByB0kVzrzQxfjFgxCBnoZ2CG442oomhGBFA0A1bT1tGmzNJM3zDCYOw2u1pXtlJIA5HHxHIgMqK1BlS8K+4FCmBycvreHk+R+AzifbwRFopmAAjK1e4KKdiSvHO6XO2uKPcIphKrORORnNwPJLNorfXWMxtdWBjbm38rZcMj8RnE+3gjashwRQAZLlgNGS70qaLCOzxn27bAf9wbGyWn03vDMH/+4H4WGS4gsqK13MKOHd6b/261td6hcrFipWtFJD6DeB9vhIQMF4CgMoZkqDivWKn21KDtUu2pmjt+LsFWsojlnIlITe4H8Ln+buQHEmxFqurhYFgpGz7Yz8AMxxsRR8AFJKkVBSvU5ekK2qbL06XlVyyPUY8Qd7GauB3Jyf0AoscsX4wkSxBiluONiCPgApLUtLHTVFZUJptsvTJdqfZU2WRTWVGZCscW9vEKSEjRnjPhdnuHJAZ6rZ4/2+k0R+UxIBmZ5YuRZAlCzHK8ERUEXEASWzJ5iaoXVas4r1h2m/dyYLfZVZxXrOpF1VoyeUmce4i4iObE7WhN7gcQOWb5YiRZghCzHG9EDUUzIoCiGUgEbR1tcrW75Eh3MGcLXtGcuB2tyf0AIiOWBXQCiVape7OK9/FG2MK5/yfgigACLgAJx0pVwQBER7y/GEm2ICTexxthIeCKMQIuAAmFxTcBmAVBCEyKsvAAgIFJljkTAKwhGqXugRgj4AIAeDFxGwCAiCPgAgB4UUEQAICIYw5XBDCHC0BCYc4EAABBJeQcrh/96EeaOnWqzjjjDA0fPjyk5xiGoVWrVumcc85RRkaGnE6n/vSnP/m1OX78uK6//no5HA4NHz5cixcvVmtraxTeAQBYBHMmAACIGMsEXG63W1/72td0yy23hPycBx98UD/5yU+0YcMG7dq1S2eeeaZmz56tv/3tb742119/vQ4cOKCtW7fqpZde0htvvKGbb745Gm8BAAAAQJKx3JDCp556SrfffrtOnDgRtJ1hGBozZozuuOMOfe9735MktbS0KCsrS0899ZQWLFiggwcP6uKLL9aePXs0efJkSdKWLVt0zTXX6IMPPtCYMWMCvnZ7e7va29t9/3a5XMrJyWFIIQAAAJAEEnJIYbjee+89NTU1yel0+rYNGzZM+fn5qqurkyTV1dVp+PDhvmBLkpxOp+x2u3bt2tXna5eWlmrYsGG+Rw7r0QAAAAAIIGEDrqamJklSVlaW3/asrCzfvqamJo0ePdpvf2pqqkaMGOFrE8jKlSvV0tLiezSyHg0AAACAAOIacN1zzz2y2WxBH4cOHYpnFwNKT0+Xw+HwewAAAABAT6nx/OF33HGHbrzxxqBtxo0bN6DXzs7OliQ1NzfrnHPO8W1vbm7WxIkTfW2OHTvm97zOzk4dP37c93wAAAAAGKi4BlyjRo3SqFGjovLa559/vrKzs7V9+3ZfgOVyubRr1y5fpcOCggKdOHFCe/fu1aRJkyRJr732mjwej/Lz86PSLwAAAADJwzJzuBoaGrRv3z41NDSoq6tL+/bt0759+/zWzBo/frw2bdokSbLZbLr99tv1wx/+UC+++KL279+vhQsXasyYMbr22mslSRdddJHmzJmjm266Sbt371Ztba1uvfVWLViwoM8KhQAAAAAQqrhmuMKxatUqPf30075/X3bZZZKk119/XTNnzpQkHT58WC0tLb42d911l06dOqWbb75ZJ06c0LRp07RlyxYNHTrU1+aXv/ylbr31Vs2aNUt2u13XXXedfvKTn8TmTQEAAABIaJZbh8uMwqnDDwAAAMDawrn/t0yGy8y6Y1aXyxXnngAAAACItu77/lByVwRcEXDy5ElJYgFkAAAAIImcPHlSw4YNC9qGIYUR4PF49NFHH+mss86SzWaLa19cLpdycnLU2NjI8MYo4PhGF8c3+jjG0cXxjS6Ob/RxjKOL4xtdsTy+hmHo5MmTGjNmjOz24HUIyXBFgN1u1xe/+MV4d8MPCzJHF8c3uji+0ccxji6Ob3RxfKOPYxxdHN/oitXx7S+z1c0yZeEBAAAAwGoIuAAAAAAgSgi4Ekx6erpWr16t9PT0eHclIXF8o4vjG30c4+ji+EYXxzf6OMbRxfGNLrMeX4pmAAAAAECUkOECAAAAgCgh4AIAAACAKCHgAgAAAIAoIeACAAAAgCgh4AIAAACAKCHgspgf/ehHmjp1qs444wwNHz48pOcYhqFVq1bpnHPOUUZGhpxOp/70pz/5tTl+/Liuv/56ORwODR8+XIsXL1Zra2sU3oG5hXsc3n//fdlstoCP5557ztcu0P5nn302Fm/JdAZyrs2cObPX8VuyZIlfm4aGBhUVFemMM87Q6NGjdeedd6qzszOab8WUwj2+x48f12233aa8vDxlZGRo7Nix+s53vqOWlha/dsl8Dj/22GM677zzNHToUOXn52v37t1B2z/33HMaP368hg4dqgkTJuiVV17x2x/KNTmZhHN8H3/8cU2fPl1nn322zj77bDmdzl7tb7zxxl7n6pw5c6L9NkwrnOP71FNP9Tp2Q4cO9WvD+dtbOMc40N8zm82moqIiXxvO4c+98cYb+pd/+ReNGTNGNptNv/nNb/p9TlVVlS6//HKlp6frggsu0FNPPdWrTbjX9UEzYCmrVq0y1q5da6xYscIYNmxYSM954IEHjGHDhhm/+c1vjD/84Q/GV7/6VeP888832trafG3mzJljXHrppcbOnTuN6upq44ILLjC+8Y1vROldmFe4x6Gzs9P4+OOP/R733XefkZmZaZw8edLXTpKxceNGv3anH/9kMpBz7corrzRuuukmv+PX0tLi29/Z2Wl8+ctfNpxOp/H2228br7zyijFy5Ehj5cqV0X47phPu8d2/f78xb94848UXXzSOHDlibN++3bjwwguN6667zq9dsp7Dzz77rJGWlmY8+eSTxoEDB4ybbrrJGD58uNHc3BywfW1trZGSkmI8+OCDxh//+EfjP/7jP4whQ4YY+/fv97UJ5ZqcLMI9vt/85jeNxx57zHj77beNgwcPGjfeeKMxbNgw44MPPvC1ueGGG4w5c+b4navHjx+P1VsylXCP78aNGw2Hw+F37JqamvzacP76C/cYf/rpp37H99133zVSUlKMjRs3+tpwDn/ulVdeMf7P//k/xgsvvGBIMjZt2hS0/dGjR40zzjjDWLFihfHHP/7RePTRR42UlBRjy5YtvjbhfmaRQMBlURs3bgwp4PJ4PEZ2drbx0EMP+badOHHCSE9PN5555hnDMAzjj3/8oyHJ2LNnj6/Nb3/7W8NmsxkffvhhxPtuVpE6DhMnTjT+7d/+zW9bKBeJZDDQY3zllVca3/3ud/vc/8orrxh2u93vxmD9+vWGw+Ew2tvbI9J3K4jUOfzrX//aSEtLMzo6OnzbkvUcnjJlirFs2TLfv7u6uowxY8YYpaWlAdt//etfN4qKivy25efnG//+7/9uGEZo1+RkEu7x7amzs9M466yzjKefftq37YYbbjCKi4sj3VVLCvf49ndvwfnb22DP4XXr1hlnnXWW0dra6tvGORxYKH+H7rrrLuMf//Ef/bbNnz/fmD17tu/fg/3MBoIhhQnuvffeU1NTk5xOp2/bsGHDlJ+fr7q6OklSXV2dhg8frsmTJ/vaOJ1O2e127dq1K+Z9jpdIHIe9e/dq3759Wrx4ca99y5Yt08iRIzVlyhQ9+eSTMpJwzfHBHONf/vKXGjlypL785S9r5cqV+uyzz/xed8KECcrKyvJtmz17tlwulw4cOBD5N2JSkfpdbmlpkcPhUGpqqt/2ZDuH3W639u7d63f9tNvtcjqdvutnT3V1dX7tJe+52N0+lGtyshjI8e3ps88+U0dHh0aMGOG3vaqqSqNHj1ZeXp5uueUWffrppxHtuxUM9Pi2trbq3HPPVU5OjoqLi/2uoZy//iJxDj/xxBNasGCBzjzzTL/tnMMD0981OBKf2UCk9t8EVtbU1CRJfjei3f/u3tfU1KTRo0f77U9NTdWIESN8bZJBJI7DE088oYsuukhTp071275mzRr97//9v3XGGWfo1Vdf1dKlS9Xa2qrvfOc7Eeu/FQz0GH/zm9/UueeeqzFjxuidd97R3XffrcOHD+uFF17wvW6gc7x7X7KIxDn8ySef6P7779fNN9/stz0Zz+FPPvlEXV1dAc+tQ4cOBXxOX+fi6dfb7m19tUkWAzm+Pd19990aM2aM383TnDlzNG/ePJ1//vn685//rO9///u6+uqrVVdXp5SUlIi+BzMbyPHNy8vTk08+qUsuuUQtLS16+OGHNXXqVB04cEBf/OIXOX97GOw5vHv3br377rt64okn/LZzDg9cX9dgl8ultrY2/c///M+grzsDQcBlAvfcc49+/OMfB21z8OBBjR8/PkY9SiyhHt/Bamtr069+9Svde++9vfadvu2yyy7TqVOn9NBDDyXMzWq0j/HpN/8TJkzQOeeco1mzZunPf/6zvvSlLw34da0iVuewy+VSUVGRLr74Yv3gBz/w25fo5zCs54EHHtCzzz6rqqoqv8IOCxYs8P3/hAkTdMkll+hLX/qSqqqqNGvWrHh01TIKCgpUUFDg+/fUqVN10UUX6Wc/+5nuv//+OPYsMT3xxBOaMGGCpkyZ4redczjxEHCZwB133KEbb7wxaJtx48YN6LWzs7MlSc3NzTrnnHN825ubmzVx4kRfm2PHjvk9r7OzU8ePH/c938pCPb6DPQ7PP/+8PvvsMy1cuLDftvn5+br//vvV3t6u9PT0ftubXayOcbf8/HxJ0pEjR/SlL31J2dnZvSoMNTc3SxLncIjH9+TJk5ozZ47OOussbdq0SUOGDAnaPtHO4UBGjhyplJQU37nUrbm5uc/jmZ2dHbR9KNfkZDGQ49vt4Ycf1gMPPKBt27bpkksuCdp23LhxGjlypI4cOZJUN6uDOb7dhgwZossuu0xHjhyRxPnb02CO8alTp/Tss89qzZo1/f6cZD2HB6Kva7DD4VBGRoZSUlIG/XsxEMzhMoFRo0Zp/PjxQR9paWkDeu3zzz9f2dnZ2r59u2+by+XSrl27fN9iFRQU6MSJE9q7d6+vzWuvvSaPx+O7sbWyUI/vYI/DE088oa9+9asaNWpUv2337duns88+O2FuVGN1jLvt27dPknx/8AsKCrR//36/YGPr1q1yOBy6+OKLI/Mm4yjax9flcumqq65SWlqaXnzxxV5loANJtHM4kLS0NE2aNMnv+unxeLR9+3a/LMDpCgoK/NpL3nOxu30o1+RkMZDjK0kPPvig7r//fm3ZssVvvmJfPvjgA3366ad+AUIyGOjxPV1XV5f279/vO3acv/4Gc4yfe+45tbe361vf+la/PydZz+GB6O8aHInfiwGJWjkORMVf/vIX4+233/aVHn/77beNt99+268EeV5envHCCy/4/v3AAw8Yw4cPNzZv3my88847RnFxccCy8Jdddpmxa9cuo6amxrjwwguTtix8sOPwwQcfGHl5ecauXbv8nvenP/3JsNlsxm9/+9ter/niiy8ajz/+uLF//37jT3/6k1FWVmacccYZxqpVq6L+fswo3GN85MgRY82aNcabb75pvPfee8bmzZuNcePGGTNmzPA9p7ss/FVXXWXs27fP2LJlizFq1KikLQsfzvFtaWkx8vPzjQkTJhhHjhzxK0Pc2dlpGEZyn8PPPvuskZ6ebjz11FPGH//4R+Pmm282hg8f7quIWVJSYtxzzz2+9rW1tUZqaqrx8MMPGwcPHjRWr14dsCx8f9fkZBHu8X3ggQeMtLQ04/nnn/c7V7v/Bp48edL43ve+Z9TV1RnvvfeesW3bNuPyyy83LrzwQuNvf/tbXN5jPIV7fO+77z7jd7/7nfHnP//Z2Lt3r7FgwQJj6NChxoEDB3xtOH/9hXuMu02bNs2YP39+r+2cw/5Onjzpu9eVZKxdu9Z4++23jb/85S+GYRjGPffcY5SUlPjad5eFv/POO42DBw8ajz32WMCy8ME+s2gg4LKYG264wZDU6/H666/72ujv6+V083g8xr333mtkZWUZ6enpxqxZs4zDhw/7ve6nn35qfOMb3zAyMzMNh8NhLFq0yC+ISxb9HYf33nuv1/E2DMNYuXKlkZOTY3R1dfV6zd/+9rfGxIkTjczMTOPMM880Lr30UmPDhg0B2yaDcI9xQ0ODMWPGDGPEiBFGenq6ccEFFxh33nmn3zpchmEY77//vnH11VcbGRkZxsiRI4077rjDr6x5sgj3+L7++usBrymSjPfee88wDM7hRx991Bg7dqyRlpZmTJkyxdi5c6dv35VXXmnccMMNfu1//etfG7m5uUZaWprxj//4j8bLL7/stz+Ua3IyCef4nnvuuQHP1dWrVxuGYRifffaZcdVVVxmjRo0yhgwZYpx77rnGTTfdFNUbKbML5/jefvvtvrZZWVnGNddcY7z11lt+r8f521u414hDhw4ZkoxXX32112txDvvr629U9zG94YYbjCuvvLLXcyZOnGikpaUZ48aN87sn7hbsM4sGm2EkeF1fAAAAAIgT5nABAAAAQJQQcAEAAABAlBBwAQAAAECUEHABAAAAQJQQcAEAAABAlBBwAQAAAECUEHABAAAAQJQQcAEAAABAlBBwAQAAAECUEHABABCCZ555RhkZGfr444992xYtWqRLLrlELS0tcewZAMDMbIZhGPHuBAAAZmcYhiZOnKgZM2bo0Ucf1erVq/Xkk09q586d+sIXvhDv7gEATCo13h0AAMAKbDabfvSjH+lf//VflZ2drUcffVTV1dW+YGvu3LmqqqrSrFmz9Pzzz8e5twAAsyDDBQBAGC6//HIdOHBAr776qq688krf9qqqKp08eVJPP/00ARcAwIc5XAAAhGjLli06dOiQurq6lJWV5bdv5syZOuuss+LUMwCAWRFwAQAQgrfeektf//rX9cQTT2jWrFm69957490lAIAFMIcLAIB+vP/++yoqKtL3v/99feMb39C4ceNUUFCgt956S5dffnm8uwcAMDEyXAAABHH8+HHNmTNHxcXFuueeeyRJ+fn5uvrqq/X9738/zr0DAJgdGS4AAIIYMWKEDh061Gv7yy+/HIfeAACshiqFAABEgNPp1B/+8AedOnVKI0aM0HPPPaeCgoJ4dwsAEGcEXAAAAAAQJczhAgAAAIAoIeACAAAAgCgh4AIAAACAKCHgAgAAAIAoIeACAAAAgCgh4AIAAACAKCHgAgAAAIAoIeACAAAAgCgh4AIAAACAKCHgAgAAAIAoIeACAAAAgCj5/1nHgsSU56oXAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xbn, Ybn, xlabel=r'$x_1$', ylabel=r'$x_2$')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 36,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"liczba przykładów: {0: 69, 1: 30}\n",
|
||
"prior probability: {0: 0.696969696969697, 1: 0.30303030303030304}\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"classes = [0, 1]\n",
|
||
"count = [sum(1 if y == c else 0 for y in Ybn.T.tolist()[0]) for c in classes]\n",
|
||
"prior_prob = [float(count[c]) / float(Ybn.shape[0]) for c in classes]\n",
|
||
"\n",
|
||
"print('liczba przykładów: ', {c: count[c] for c in classes})\n",
|
||
"print('prior probability:', {c: prior_prob[c] for c in classes})"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 37,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"średnia: [matrix([[1. , 0.03949835, 0.02825019]]), matrix([[1. , 0.09929617, 0.06206227]])]\n",
|
||
"odchylenie standardowe: [matrix([[0. , 0.52318432, 0.60106092]]), matrix([[0. , 0.61370281, 0.6081128 ]])]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"XY = np.column_stack((Xbn, Ybn))\n",
|
||
"XY_split = [XY[np.where(XY[:,3] == c)[0]] for c in classes]\n",
|
||
"X_split = [XY_split[c][:,0:3] for c in classes]\n",
|
||
"Y_split = [XY_split[c][:,3] for c in classes]\n",
|
||
"\n",
|
||
"X_mean = [np.mean(X_split[c], axis=0) for c in classes]\n",
|
||
"X_std = [np.std(X_split[c], axis=0) for c in classes]\n",
|
||
"print('średnia: ', X_mean) \n",
|
||
"print('odchylenie standardowe: ', X_std)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 38,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/1042079336.py:11: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p, levels=np.arange(0.0, 1.0, 0.1),\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xbn, Ybn, xlabel=r'$x_1$', ylabel=r'$x_2$')\n",
|
||
"draw_means(fig, X_mean, xmin=-1.0, xmax=1.0, ymin=-1.0, ymax=1.0)\n",
|
||
"plot_prob(fig, X_mean, X_std, classes, xmin=-1.0, xmax=1.0, ymin=-1.0, ymax=1.0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 39,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xbn, Ybn, xlabel=r'$x_1$', ylabel=r'$x_2$')\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std, xmin=-4.0, xmax=4.0, ymin=-4.0, ymax=4.0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 56,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"theta = [[-0.31582268]\n",
|
||
" [ 0.43496774]\n",
|
||
" [-0.21840373]\n",
|
||
" [-7.88802319]\n",
|
||
" [22.73897346]\n",
|
||
" [-4.43682364]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Uruchomienie metody gradientu prostego dla regresji logistycznej\n",
|
||
"theta_start = np.matrix(np.zeros(Xbnp.shape[1])).reshape(Xbnp.shape[1], 1)\n",
|
||
"theta, errors = GD(h, J, dJ, theta_start, Xbnp, Ybn, \n",
|
||
" alpha=0.05, eps=10**-7, maxSteps=100000)\n",
|
||
"print(r'theta = {}'.format(theta))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 41,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xbnp, Ybn, xlabel=r'$x_1$', ylabel=r'$x_2$')\n",
|
||
"plot_decision_boundary(fig, theta, Xbnp, xmin=-4.0, xmax=4.0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 42,
|
||
"metadata": {
|
||
"scrolled": true,
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/tmp/ipykernel_532/4022158666.py:8: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(x1, x2, p_diff, levels=[0.0], colors='c', lw=3);\n",
|
||
"/tmp/ipykernel_532/2795780436.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
|
||
" plt.contour(xx, yy, z, levels=[0.5], colors='m', lw=3);\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(Xbn, Ybn, xlabel=r'$x_1$', ylabel=r'$x_2$')\n",
|
||
"plot_decision_boundary_bayes(fig, X_mean, X_std, xmin=-4.0, xmax=4.0, ymin=-4.0, ymax=4.0)\n",
|
||
"plot_decision_boundary(fig, theta, Xbnp, xmin=-4.0, xmax=4.0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Naiwny klasyfikator Bayesa nie działa, jeżeli dane nie różnią się ani średnią, ani odchyleniem standardowym."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"## 8.2. Algorytm $k$ najbliższych sąsiadów"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### KNN – intuicja"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Do której kategorii powinien należeć punkt oznaczony gwiazdką?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 43,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Przydatne importy\n",
|
||
"\n",
|
||
"import ipywidgets as widgets\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import numpy as np\n",
|
||
"import pandas\n",
|
||
"\n",
|
||
"%matplotlib inline"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 44,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wczytanie danych (gatunki kosaćców)\n",
|
||
"\n",
|
||
"data_iris = pandas.read_csv('iris.csv')\n",
|
||
"data_iris_setosa = pandas.DataFrame()\n",
|
||
"data_iris_setosa['dł. płatka'] = data_iris['pl'] # \"pl\" oznacza \"petal length\"\n",
|
||
"data_iris_setosa['szer. płatka'] = data_iris['pw'] # \"pw\" oznacza \"petal width\"\n",
|
||
"data_iris_setosa['Iris setosa?'] = data_iris['Gatunek'].apply(lambda x: 1 if x=='Iris-setosa' else 0)\n",
|
||
"\n",
|
||
"m, n_plus_1 = data_iris_setosa.values.shape\n",
|
||
"n = n_plus_1 - 1\n",
|
||
"Xn = data_iris_setosa.values[:, 0:n].reshape(m, n)\n",
|
||
"\n",
|
||
"X = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n_plus_1)\n",
|
||
"Y = np.matrix(data_iris_setosa.values[:, 2]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wykres danych (wersja macierzowa)\n",
|
||
"def plot_data_for_classification(X, Y, xlabel, ylabel): \n",
|
||
" fig = plt.figure(figsize=(16*.6, 9*.6))\n",
|
||
" ax = fig.add_subplot(111)\n",
|
||
" fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n",
|
||
" X = X.tolist()\n",
|
||
" Y = Y.tolist()\n",
|
||
" X1n = [x[1] for x, y in zip(X, Y) if y[0] == 0]\n",
|
||
" X1p = [x[1] for x, y in zip(X, Y) if y[0] == 1]\n",
|
||
" X2n = [x[2] for x, y in zip(X, Y) if y[0] == 0]\n",
|
||
" X2p = [x[2] for x, y in zip(X, Y) if y[0] == 1]\n",
|
||
" ax.scatter(X1n, X2n, c='r', marker='x', s=50, label='Dane')\n",
|
||
" ax.scatter(X1p, X2p, c='g', marker='o', s=50, label='Dane')\n",
|
||
" \n",
|
||
" ax.set_xlabel(xlabel)\n",
|
||
" ax.set_ylabel(ylabel)\n",
|
||
" ax.margins(.05, .05)\n",
|
||
" return fig"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 46,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"def plot_new_example(fig, x, y):\n",
|
||
" ax = fig.axes[0]\n",
|
||
" ax.scatter([x], [y], c='k', marker='*', s=100, label='?')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 47,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_new_example(fig, 2.8, 0.9)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Wydaje się sensownym przyjąć, że punkt oznaczony gwiazdką powinien być czerwony, ponieważ sąsiednie punkty są czerwone. Najbliższe czerwone punkty są położone bliżej niż najbliższe zielone."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Algorytm oparty na tej intuicji nazywamy algorytmem **$k$ najbliższych sąsiadów** (*$k$ nearest neighbors*, KNN)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Idea (KNN dla $k = 1$):\n",
|
||
" 1. Dla nowego przykładu $x'$ znajdź najbliższy przykład $x$ ze zbioru uczącego.\n",
|
||
" 1. Jego klasa $y$ to szukana klasa $y'$."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 48,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from scipy.spatial import Voronoi, voronoi_plot_2d\n",
|
||
"\n",
|
||
"def plot_voronoi(fig, points):\n",
|
||
" ax = fig.axes[0]\n",
|
||
" vor = Voronoi(points)\n",
|
||
" ax.scatter(vor.vertices[:, 0], vor.vertices[:, 1], s=1)\n",
|
||
" \n",
|
||
" for simplex in vor.ridge_vertices:\n",
|
||
" simplex = np.asarray(simplex)\n",
|
||
" if np.all(simplex >= 0):\n",
|
||
" ax.plot(vor.vertices[simplex, 0], vor.vertices[simplex, 1],\n",
|
||
" color='orange', linewidth=1)\n",
|
||
" \n",
|
||
" xmin, ymin = points.min(axis=0).tolist()[0]\n",
|
||
" xmax, ymax = points.max(axis=0).tolist()[0]\n",
|
||
" pad = 0.1\n",
|
||
" ax.set_xlim(xmin - pad, xmax + pad)\n",
|
||
" ax.set_ylim(ymin - pad, ymax + pad)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 49,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X, Y, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_new_example(fig, 2.8, 0.9)\n",
|
||
"plot_voronoi(fig, X[:, 1:])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Podział płaszczyzny jak na powyższym wykresie nazywamy **diagramem Woronoja** (*Voronoi diagram*)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Taki algorytm wyznacza dość efektowne granice klas, zwłaszcza jak na tak prosty algorytm. "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Niestety jest bardzo podatny na obserwacje odstające:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 50,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"X_outliers = np.vstack((X, np.matrix([[1.0, 3.9, 1.7]])))\n",
|
||
"Y_outliers = np.vstack((Y, np.matrix([[1]])))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 51,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X_outliers, Y_outliers, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
"plot_new_example(fig, 2.8, 0.9)\n",
|
||
"plot_voronoi(fig, X_outliers[:, 1:])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Pojedyncza obserwacja odstająca dramatycznie zmienia granice klas."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Aby temu zaradzić, użyjemy więcej niż jednego najbliższego sąsiada ($k > 1$)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Algorytm $k$ najbliższych sąsiadów dla problemu klasyfikacji\n",
|
||
"\n",
|
||
"1. Dany jest zbiór uczący zawierajacy przykłady $(x_i, y_i)$, gdzie: $x_i$ – zestaw cech, $y_i$ – klasa.\n",
|
||
"1. Dany jest przykład testowy $x'$, dla którego chcemy określić klasę.\n",
|
||
"1. Oblicz odległość $d(x', x_i)$ dla każdego przykładu $x_i$ ze zbioru uczącego.\n",
|
||
"1. Wybierz $k$ przykładów $x_{i_1}, \\ldots, x_{i_k}$, dla których wyliczona odległość jest najmniejsza.\n",
|
||
"1. Jako wynik $y'$ zwróć tę spośrod klas $y_{i_1}, \\ldots, y_{i_k}$, która występuje najczęściej."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Algorytm $k$ najbliższych sąsiadów dla problemu klasyfikacji – przykład"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 52,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Odległość euklidesowa\n",
|
||
"def euclidean_distance(x1, x2):\n",
|
||
" return np.linalg.norm(x1 - x2)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 53,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Algorytm k najbliższych sąsiadów\n",
|
||
"def knn(X, Y, x_new, k, distance=euclidean_distance):\n",
|
||
" data = np.concatenate((X, Y), axis=1)\n",
|
||
" nearest = sorted(\n",
|
||
" data, key=lambda xy:distance(xy[0, :-1], x_new))[:k]\n",
|
||
" y_nearest = [xy[0, -1] for xy in nearest]\n",
|
||
" return max(y_nearest, key=lambda y:y_nearest.count(y))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 54,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wykres klas dla KNN\n",
|
||
"def plot_knn(fig, X, Y, k, distance=euclidean_distance):\n",
|
||
" ax = fig.axes[0]\n",
|
||
" x1min, x2min = X.min(axis=0).tolist()[0]\n",
|
||
" x1max, x2max = X.max(axis=0).tolist()[0]\n",
|
||
" pad1 = (x1max - x1min) / 10\n",
|
||
" pad2 = (x2max - x2min) / 10\n",
|
||
" step1 = (x1max - x1min) / 50\n",
|
||
" step2 = (x2max - x2min) / 50\n",
|
||
" x1grid, x2grid = np.meshgrid(\n",
|
||
" np.arange(x1min - pad1, x1max + pad1, step1),\n",
|
||
" np.arange(x2min - pad2, x2max + pad2, step2))\n",
|
||
" z = np.matrix([[knn(X, Y, [x1, x2], k, distance) \n",
|
||
" for x1, x2 in zip(x1row, x2row)] \n",
|
||
" for x1row, x2row in zip(x1grid, x2grid)])\n",
|
||
" plt.contour(x1grid, x2grid, z, levels=[0.5]);"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 55,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Przygotowanie interaktywnego wykresu\n",
|
||
"\n",
|
||
"slider_k = widgets.IntSlider(min=1, max=10, step=1, value=1, description=r'$k$', width=300)\n",
|
||
"\n",
|
||
"def interactive_knn_1(k):\n",
|
||
" fig = plot_data_for_classification(X_outliers, Y_outliers, xlabel=u'dł. płatka', ylabel=u'szer. płatka')\n",
|
||
" plot_voronoi(fig, X_outliers[:, 1:])\n",
|
||
" plot_knn(fig, X_outliers[:, 1:], Y_outliers, k)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 57,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"application/vnd.jupyter.widget-view+json": {
|
||
"model_id": "ff1c8c46a4004151b50fd06a56e539d8",
|
||
"version_major": 2,
|
||
"version_minor": 0
|
||
},
|
||
"text/plain": [
|
||
"interactive(children=(IntSlider(value=1, description='$k$', max=10, min=1), Button(description='Run Interact',…"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<function __main__.interactive_knn_1(k)>"
|
||
]
|
||
},
|
||
"execution_count": 57,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"widgets.interact_manual(interactive_knn_1, k=slider_k)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 58,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Wczytanie danych (inny przykład)\n",
|
||
"\n",
|
||
"alldata = pandas.read_csv('classification.tsv', sep='\\t')\n",
|
||
"data = np.matrix(alldata)\n",
|
||
"\n",
|
||
"m, n_plus_1 = data.shape\n",
|
||
"n = n_plus_1 - 1\n",
|
||
"Xn = data[:, 1:].reshape(m, n)\n",
|
||
"\n",
|
||
"X2 = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n_plus_1)\n",
|
||
"Y2 = np.matrix(data[:, 0]).reshape(m, 1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 59,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
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\n",
|
||
"text/plain": [
|
||
"<Figure size 960x540 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"fig = plot_data_for_classification(X2, Y2, xlabel=r'$x_1$', ylabel=r'$x_2$')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 60,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "notes"
|
||
}
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Przygotowanie interaktywnego wykresu\n",
|
||
"\n",
|
||
"slider_k = widgets.IntSlider(min=1, max=10, step=1, value=1, description=r'$k$', width=300)\n",
|
||
"\n",
|
||
"def interactive_knn_2(k):\n",
|
||
" fig = plot_data_for_classification(X2, Y2, xlabel=r'$x_1$', ylabel=r'$x_2$')\n",
|
||
" plot_voronoi(fig, X2[:, 1:])\n",
|
||
" plot_knn(fig, X2[:, 1:], Y2, k)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 61,
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"application/vnd.jupyter.widget-view+json": {
|
||
"model_id": "e6f9cbff3a98467bacf41be15c624ba8",
|
||
"version_major": 2,
|
||
"version_minor": 0
|
||
},
|
||
"text/plain": [
|
||
"interactive(children=(IntSlider(value=1, description='$k$', max=10, min=1), Button(description='Run Interact',…"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<function __main__.interactive_knn_2(k)>"
|
||
]
|
||
},
|
||
"execution_count": 61,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"widgets.interact_manual(interactive_knn_2, k=slider_k)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Algorytm $k$ najbliższych sąsiadów dla problemu regresji\n",
|
||
"\n",
|
||
"1. Dany jest zbiór uczący zawierajacy przykłady $(x_i, y_i)$, gdzie: $x_i$ – zestaw cech, $y_i$ – liczba rzeczywista.\n",
|
||
"1. Dany jest przykład testowy $x'$, dla którego chcemy określić klasę.\n",
|
||
"1. Oblicz odległość $d(x', x_i)$ dla każdego przykładu $x_i$ ze zbioru uczącego.\n",
|
||
"1. Wybierz $k$ przykładów $x_{i_1}, \\ldots, x_{i_k}$, dla których wyliczona odległość jest najmniejsza.\n",
|
||
"1. Jako wynik $y'$ zwróć średnią liczb $y_{i_1}, \\ldots, y_{i_k}$:\n",
|
||
" $$ y' = \\frac{1}{k} \\sum_{j=1}^{k} y_{i_j} $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Wybór $k$\n",
|
||
"\n",
|
||
"* Wartość $k$ ma duży wpływ na wynik działania algorytmu KNN:\n",
|
||
" * Jeżeli $k$ jest zbyt duże, wszystkie nowe przykłady są klasyfikowane jako klasa większościowa.\n",
|
||
" * Jeżeli $k$ jest zbyt małe, granice klas są niestabilne, a algorytm jest bardzo podatny na obserwacje odstające.\n",
|
||
"* Aby dobrać optymalną wartość $k$, najlepiej użyć zbioru walidacyjnego."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### Miary podobieństwa"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"#### Odległość euklidesowa\n",
|
||
"$$ d(x, x') = \\sqrt{ \\sum_{i=1}^n \\left( x_i - x'_i \\right) ^2 } $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Dobry wybór w przypadku numerycznych cech.\n",
|
||
"* Symetryczna, traktuje wszystkie wymiary jednakowo.\n",
|
||
"* Wrażliwa na duże wahania jednej cechy."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"#### Odległość Hamminga\n",
|
||
"$$ d(x, x') = \\sum_{i=1}^n \\mathbf{1}_{x_i \\neq x'_i} $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Dobry wybór w przypadku cech zero-jedynkowych.\n",
|
||
"* Liczba cech, którymi różnią się dane przykłady."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "subslide"
|
||
}
|
||
},
|
||
"source": [
|
||
"#### Odległość Minkowskiego ($p$-norma)\n",
|
||
"$$ d(x, x') = \\sqrt[p]{ \\sum_{i=1}^n \\left| x_i - x'_i \\right| ^p } $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Dla $p = 2$ jest to odległość euklidesowa.\n",
|
||
"* Dla $p = 1$ jest to odległość taksówkowa.\n",
|
||
"* Jeżeli $p \\to \\infty$, to $p$-norma zbliża się do logicznej alternatywy.\n",
|
||
"* Jeżeli $p \\to 0$, to $p$-norma zbliża się do logicznej koniunkcji."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "slide"
|
||
}
|
||
},
|
||
"source": [
|
||
"### KNN – praktyczne porady"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* Co zrobić z remisami?\n",
|
||
" * Można wybrać losową klasę.\n",
|
||
" * Można wybrać klasę o wyższym prawdopodobieństwie _a priori_.\n",
|
||
" * Można wybrać klasę wskazaną przez algorytm 1NN."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"slideshow": {
|
||
"slide_type": "fragment"
|
||
}
|
||
},
|
||
"source": [
|
||
"* KNN źle radzi sobie z brakującymi wartościami cech (nie można wówczas sensownie wyznaczyć odległości)."
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"celltoolbar": "Slideshow",
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.10.12"
|
||
},
|
||
"livereveal": {
|
||
"start_slideshow_at": "selected",
|
||
"theme": "white"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 4
|
||
}
|