diff --git a/cw/05_NDA_IE.ipynb b/cw/05_NDA_IE.ipynb
index 592eb82..99a26b3 100644
--- a/cw/05_NDA_IE.ipynb
+++ b/cw/05_NDA_IE.ipynb
@@ -210,13 +210,6 @@
     "\n",
     "Termin 5 maj 2021 (proszę w MS TEAMS podać link do repozytorium albo publicznego albo z dostępem dla kubapok i filipg na git.wmi)"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
diff --git a/cw/06_klasyfikacja.ipynb b/cw/06_klasyfikacja.ipynb
new file mode 100644
index 0000000..d682e7d
--- /dev/null
+++ b/cw/06_klasyfikacja.ipynb
@@ -0,0 +1,964 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Zajęcia klasyfikacja"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Zbiór kleister"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pathlib\n",
+    "from collections import Counter\n",
+    "from sklearn.metrics import *"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "KLEISTER_PATH = pathlib.Path('/home/kuba/Syncthing/przedmioty/2020-02/IE/applica/kleister-nda')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Pytanie\n",
+    "\n",
+    "Czy jurysdykcja musi być zapisana explicite w umowie?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_expected_jurisdiction(filepath):\n",
+    "    dataset_expected_jurisdiction = []\n",
+    "    with open(filepath,'r') as train_expected_file:\n",
+    "        for line in train_expected_file:\n",
+    "            key_values = line.rstrip('\\n').split(' ')\n",
+    "            jurisdiction = None\n",
+    "            for key_value in key_values:\n",
+    "                key, value = key_value.split('=')\n",
+    "                if key == 'jurisdiction':\n",
+    "                    jurisdiction = value\n",
+    "            if jurisdiction is None:\n",
+    "                jurisdiction = 'NONE'\n",
+    "            dataset_expected_jurisdiction.append(jurisdiction)\n",
+    "    return dataset_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train_expected_jurisdiction = get_expected_jurisdiction(KLEISTER_PATH/'train'/'expected.tsv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dev_expected_jurisdiction = get_expected_jurisdiction(KLEISTER_PATH/'dev-0'/'expected.tsv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "254"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(train_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "False"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "'NONE' in train_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "31"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(set(train_expected_jurisdiction))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Czy wszystkie stany muszą występować w zbiorze trenującym w zbiorze kleister?\n",
+    "\n",
+    "https://en.wikipedia.org/wiki/U.S._state\n",
+    "\n",
+    "### Jaki jest baseline?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train_counter = Counter(train_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[('New_York', 43),\n",
+       " ('Delaware', 39),\n",
+       " ('California', 32),\n",
+       " ('Massachusetts', 15),\n",
+       " ('Texas', 13),\n",
+       " ('Illinois', 10),\n",
+       " ('Oregon', 9),\n",
+       " ('Florida', 9),\n",
+       " ('Pennsylvania', 9),\n",
+       " ('Missouri', 9),\n",
+       " ('Ohio', 8),\n",
+       " ('New_Jersey', 7),\n",
+       " ('Georgia', 6),\n",
+       " ('Indiana', 5),\n",
+       " ('Nevada', 5),\n",
+       " ('Colorado', 4),\n",
+       " ('Virginia', 4),\n",
+       " ('Washington', 4),\n",
+       " ('Michigan', 3),\n",
+       " ('Minnesota', 3),\n",
+       " ('Connecticut', 2),\n",
+       " ('Wisconsin', 2),\n",
+       " ('Maine', 2),\n",
+       " ('North_Carolina', 2),\n",
+       " ('Kansas', 2),\n",
+       " ('Utah', 2),\n",
+       " ('Iowa', 1),\n",
+       " ('Idaho', 1),\n",
+       " ('South_Dakota', 1),\n",
+       " ('South_Carolina', 1),\n",
+       " ('Rhode_Island', 1)]"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "train_counter.most_common(100)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "most_common_answer = train_counter.most_common(100)[0][0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'New_York'"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "most_common_answer"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dev_predictions_jurisdiction = [most_common_answer] * len(dev_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['New_York',\n",
+       " 'New_York',\n",
+       " 'Delaware',\n",
+       " 'Massachusetts',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'Delaware',\n",
+       " 'New_Jersey',\n",
+       " 'New_York',\n",
+       " 'NONE',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'New_York',\n",
+       " 'Massachusetts',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Iowa',\n",
+       " 'California',\n",
+       " 'Virginia',\n",
+       " 'North_Carolina',\n",
+       " 'Arizona',\n",
+       " 'Indiana',\n",
+       " 'New_Jersey',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'Georgia',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'Kentucky',\n",
+       " 'Minnesota',\n",
+       " 'Ohio',\n",
+       " 'Michigan',\n",
+       " 'California',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'Illinois',\n",
+       " 'Minnesota',\n",
+       " 'Texas',\n",
+       " 'New_Jersey',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Oregon',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Massachusetts',\n",
+       " 'California',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Illinois',\n",
+       " 'Idaho',\n",
+       " 'Washington',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Utah',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'Virginia',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'Illinois',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'NONE',\n",
+       " 'Texas',\n",
+       " 'California',\n",
+       " 'Washington',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'New_York',\n",
+       " 'Washington',\n",
+       " 'Illinois']"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dev_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "accuracy:  0.14457831325301204\n"
+     ]
+    }
+   ],
+   "source": [
+    "counter = 0 \n",
+    "for pred, exp in zip(dev_predictions_jurisdiction, dev_expected_jurisdiction):\n",
+    "    if pred == exp:\n",
+    "        counter +=1\n",
+    "print('accuracy: ', counter/len(dev_predictions_jurisdiction))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.14457831325301204"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "accuracy_score(dev_predictions_jurisdiction, dev_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Co jeżeli nazwy klas nie występują explicite w zbiorach?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "https://git.wmi.amu.edu.pl/kubapok/paranormal-or-skeptic-ISI-public\n",
+    "    \n",
+    "https://git.wmi.amu.edu.pl/kubapok/sport-text-classification-ball-ISI-public"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "SPORT_PATH='/home/kuba/Syncthing/przedmioty/2020-02/ISI/zajecia6_klasyfikacja/repos/sport-text-classification-ball'\n",
+    "\n",
+    "SPORT_TRAIN=$SPORT_PATH/train/train.tsv.gz\n",
+    "    \n",
+    "SPORT_DEV_EXP=$SPORT_PATH/dev-0/expected.tsv"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### jaki jest baseline dla sport classification ball?\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "zcat  $SPORT_TRAIN | awk '{print $1}'  | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "zcat  $SPORT_TRAIN | awk '{print $1}'  | grep 1 | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "cat  $SPORT_DEV_EXP | wc -l\n",
+    "\n",
+    "grep 1  $SPORT_DEV_EXP | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Sprytne podejście do klasyfikacji tekstu? Naiwny bayess"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/kuba/anaconda3/lib/python3.8/site-packages/gensim/similarities/__init__.py:15: UserWarning: The gensim.similarities.levenshtein submodule is disabled, because the optional Levenshtein package <https://pypi.org/project/python-Levenshtein/> is unavailable. Install Levenhstein (e.g. `pip install python-Levenshtein`) to suppress this warning.\n",
+      "  warnings.warn(msg)\n"
+     ]
+    }
+   ],
+   "source": [
+    "from sklearn.datasets import fetch_20newsgroups\n",
+    "# https://scikit-learn.org/0.19/datasets/twenty_newsgroups.html\n",
+    "\n",
+    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
+    "import numpy as np\n",
+    "import sklearn.metrics\n",
+    "import gensim"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups = fetch_20newsgroups()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups_text = newsgroups['data']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups_text_tokenized = [list(set(gensim.utils.tokenize(x, lowercase = True))) for x in newsgroups_text]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "From: lerxst@wam.umd.edu (where's my thing)\n",
+      "Subject: WHAT car is this!?\n",
+      "Nntp-Posting-Host: rac3.wam.umd.edu\n",
+      "Organization: University of Maryland, College Park\n",
+      "Lines: 15\n",
+      "\n",
+      " I was wondering if anyone out there could enlighten me on this car I saw\n",
+      "the other day. It was a 2-door sports car, looked to be from the late 60s/\n",
+      "early 70s. It was called a Bricklin. The doors were really small. In addition,\n",
+      "the front bumper was separate from the rest of the body. This is \n",
+      "all I know. If anyone can tellme a model name, engine specs, years\n",
+      "of production, where this car is made, history, or whatever info you\n",
+      "have on this funky looking car, please e-mail.\n",
+      "\n",
+      "Thanks,\n",
+      "- IL\n",
+      "   ---- brought to you by your neighborhood Lerxst ----\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(newsgroups_text[0])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "['where', 'name', 'looked', 'to', 'have', 'out', 'on', 'by', 'park', 'what', 'from', 'host', 'doors', 'day', 'be', 'organization', 'e', 'front', 'in', 'it', 'history', 'brought', 'know', 'addition', 'il', 'of', 'lines', 'i', 'your', 'bumper', 'there', 'please', 'me', 'separate', 'is', 'tellme', 'can', 'could', 'called', 'specs', 'college', 'this', 'thanks', 'looking', 'if', 'production', 'sports', 'lerxst', 'whatever', 'anyone', 'enlighten', 'saw', 'all', 'small', 'you', 'wam', 'mail', 'rest', 's', 'late', 'rac', 'funky', 'edu', 'info', 'the', 'wondering', 'years', 'door', 'posting', 'car', 'made', 'or', 'maryland', 'subject', 'bricklin', 'was', 'model', 'thing', 'university', 'engine', 'nntp', 'other', 'really', 'neighborhood', 'early', 'a', 'umd', 'my', 'body', 'were']\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(newsgroups_text_tokenized[0])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Y = newsgroups['target']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([7, 4, 4, ..., 3, 1, 8])"
+      ]
+     },
+     "execution_count": 24,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Y_names = newsgroups['target_names']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['alt.atheism',\n",
+       " 'comp.graphics',\n",
+       " 'comp.os.ms-windows.misc',\n",
+       " 'comp.sys.ibm.pc.hardware',\n",
+       " 'comp.sys.mac.hardware',\n",
+       " 'comp.windows.x',\n",
+       " 'misc.forsale',\n",
+       " 'rec.autos',\n",
+       " 'rec.motorcycles',\n",
+       " 'rec.sport.baseball',\n",
+       " 'rec.sport.hockey',\n",
+       " 'sci.crypt',\n",
+       " 'sci.electronics',\n",
+       " 'sci.med',\n",
+       " 'sci.space',\n",
+       " 'soc.religion.christian',\n",
+       " 'talk.politics.guns',\n",
+       " 'talk.politics.mideast',\n",
+       " 'talk.politics.misc',\n",
+       " 'talk.religion.misc']"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y_names"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'talk.politics.guns'"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y_names[16]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P('talk.politics.guns' | 'gun')=  ?$ \n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "$P(A|B) * P(A) = P(B) * P(B|A)$\n",
+    "\n",
+    "$P(A|B) = \\frac{P(B) * P(B|A)}{P(A)}$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P('talk.politics.guns' | 'gun') * P('gun') = P('gun'|'talk.politics.guns') * P('talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$P('talk.politics.guns' | 'gun')  = \\frac{P('gun'|'talk.politics.guns') * P('talk.politics.guns')}{P('gun')}$\n",
+    "\n",
+    "\n",
+    "$p1 = P('gun'|'talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$p2 = P('talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$p3 = P('gun')$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p1 = P('gun'|'talk.politics.guns')$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# samodzielne wykonanie"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p2 = P('talk.politics.guns')$\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# samodzielne wykonanie"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p3 = P('gun')$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# samodzielne wykonanie"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## ostatecznie"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "NameError",
+     "evalue": "name 'p1' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "\u001b[0;32m<ipython-input-31-447f586cc09f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;34m(\u001b[0m\u001b[0mp1\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mp2\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mp3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+      "\u001b[0;31mNameError\u001b[0m: name 'p1' is not defined"
+     ]
+    }
+   ],
+   "source": [
+    "(p1 * p2) / p3"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_prob(index ):\n",
+    "    talks_topic = [x for x,y in zip(newsgroups_text_tokenized,Y) if y == index]\n",
+    "\n",
+    "    len([x for x in talks_topic if 'gun' in x])\n",
+    "\n",
+    "    if len(talks_topic) == 0:\n",
+    "        return 0.0\n",
+    "    p1 = len([x for x in talks_topic if 'gun' in x]) / len(talks_topic)\n",
+    "    p2 = len(talks_topic) / len(Y)\n",
+    "    p3 = len([x for x in newsgroups_text_tokenized if 'gun' in x]) / len(Y)\n",
+    "\n",
+    "    if p3 == 0:\n",
+    "        return 0.0\n",
+    "    else: \n",
+    "        return (p1 * p2)/ p3\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.01622 \t\t alt.atheism\n",
+      "0.00000 \t\t comp.graphics\n",
+      "0.00541 \t\t comp.os.ms-windows.misc\n",
+      "0.01892 \t\t comp.sys.ibm.pc.hardware\n",
+      "0.00270 \t\t comp.sys.mac.hardware\n",
+      "0.00000 \t\t comp.windows.x\n",
+      "0.01351 \t\t misc.forsale\n",
+      "0.04054 \t\t rec.autos\n",
+      "0.01892 \t\t rec.motorcycles\n",
+      "0.00270 \t\t rec.sport.baseball\n",
+      "0.00541 \t\t rec.sport.hockey\n",
+      "0.03784 \t\t sci.crypt\n",
+      "0.02973 \t\t sci.electronics\n",
+      "0.00541 \t\t sci.med\n",
+      "0.01622 \t\t sci.space\n",
+      "0.00270 \t\t soc.religion.christian\n",
+      "0.68378 \t\t talk.politics.guns\n",
+      "0.04595 \t\t talk.politics.mideast\n",
+      "0.03784 \t\t talk.politics.misc\n",
+      "0.01622 \t\t talk.religion.misc\n",
+      "1.00000 \t\tsuma\n"
+     ]
+    }
+   ],
+   "source": [
+    "probs = []\n",
+    "for i in range(len(Y_names)):\n",
+    "    probs.append(get_prob(i))\n",
+    "    print(\"%.5f\" %   get_prob(i),'\\t\\t', Y_names[i])\n",
+    "    \n",
+    "print(\"%.5f\" % sum(probs), '\\t\\tsuma',)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### zadanie samodzielne"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_prob2(index, word ):\n",
+    "    pass"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# listing dla get_prob2, słowo 'god'"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## założenie naiwnego bayesa"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P(class | word1, word2, word3)  = \\frac{P(word1, word2, word3|class) * P(class)}{P(word1, word2, word3)}$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**przy założeniu o niezależności zmiennych losowych $word1$, $word2$, $word3$**:\n",
+    "\n",
+    "\n",
+    "$P(word1, word2, word3|class) = P(word1|class)* P(word2|class) *  P(word3|class)$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**ostatecznie:**\n",
+    "\n",
+    "\n",
+    "$P(class | word1, word2, word3)  = \\frac{P(word1|class)* P(word2|class) *  P(word3|class)  * P(class)}{\\sum_k{P(word1|class_k)* P(word2|class_k) *  P(word3|class_k)  * P(class_k)}}$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## zadania domowe naiwny bayes1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- analogicznie zaimplementować funkcję get_prob3(index, document_tokenized), argument document_tokenized ma być zbiorem słów dokumentu. funkcja ma być naiwnym klasyfikatorem bayesowskim (w przypadku wielu słów)\n",
+    "- odpalić powyższy listing prawdopodobieństw z funkcją get_prob3 dla dokumentów: {'i','love','guns'} oraz {'is','there','life','after'\n",
+    ",'death'}\n",
+    "- zadanie proszę zrobić w jupyterze, wygenerować pdf (kod + wyniki odpalenia) i umieścić go jako zadanie w teams\n",
+    "- termin 12.05, punktów: 40\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## zadania domowe naiwny bayes1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- wybrać jedno z poniższych repozytoriów i je sforkować:\n",
+    "  - https://git.wmi.amu.edu.pl/kubapok/paranormal-or-skeptic-ISI-public\n",
+    "  - https://git.wmi.amu.edu.pl/kubapok/sport-text-classification-ball-ISI-public\n",
+    "- stworzyć klasyfikator bazujący na naiwnym bayessie (może być gotowa biblioteka)\n",
+    "- stworzyć predykcje w plikach dev-0/out.tsv oraz test-A/out.tsv\n",
+    "- wynik accuracy sprawdzony za pomocą narzędzia geval (patrz poprzednie zadanie) powinien wynosić conajmniej 0.67\n",
+    "- proszę umieścić predykcję oraz skrypty generujące (w postaci tekstowej a nie jupyter) w repo, a w MS TEAMS umieścić link do swojego repo\n",
+    "termin 12.05, 40 punktów\n"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/cw/06_klasyfikacja_ODPOWIEDZI.ipynb b/cw/06_klasyfikacja_ODPOWIEDZI.ipynb
new file mode 100644
index 0000000..f3b2299
--- /dev/null
+++ b/cw/06_klasyfikacja_ODPOWIEDZI.ipynb
@@ -0,0 +1,1111 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Zajęcia klasyfikacja"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Zbiór kleister"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pathlib\n",
+    "from collections import Counter\n",
+    "from sklearn.metrics import *"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "KLEISTER_PATH = pathlib.Path('/home/kuba/Syncthing/przedmioty/2020-02/IE/applica/kleister-nda')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Pytanie\n",
+    "\n",
+    "Czy jurysdykcja musi być zapisana explicite w umowie?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_expected_jurisdiction(filepath):\n",
+    "    dataset_expected_jurisdiction = []\n",
+    "    with open(filepath,'r') as train_expected_file:\n",
+    "        for line in train_expected_file:\n",
+    "            key_values = line.rstrip('\\n').split(' ')\n",
+    "            jurisdiction = None\n",
+    "            for key_value in key_values:\n",
+    "                key, value = key_value.split('=')\n",
+    "                if key == 'jurisdiction':\n",
+    "                    jurisdiction = value\n",
+    "            if jurisdiction is None:\n",
+    "                jurisdiction = 'NONE'\n",
+    "            dataset_expected_jurisdiction.append(jurisdiction)\n",
+    "    return dataset_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train_expected_jurisdiction = get_expected_jurisdiction(KLEISTER_PATH/'train'/'expected.tsv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dev_expected_jurisdiction = get_expected_jurisdiction(KLEISTER_PATH/'dev-0'/'expected.tsv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "254"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(train_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "False"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "'NONE' in train_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "31"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(set(train_expected_jurisdiction))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Czy wszystkie stany muszą występować w zbiorze trenującym w zbiorze kleister?\n",
+    "\n",
+    "https://en.wikipedia.org/wiki/U.S._state\n",
+    "\n",
+    "### Jaki jest baseline?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train_counter = Counter(train_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[('New_York', 43),\n",
+       " ('Delaware', 39),\n",
+       " ('California', 32),\n",
+       " ('Massachusetts', 15),\n",
+       " ('Texas', 13),\n",
+       " ('Illinois', 10),\n",
+       " ('Oregon', 9),\n",
+       " ('Florida', 9),\n",
+       " ('Pennsylvania', 9),\n",
+       " ('Missouri', 9),\n",
+       " ('Ohio', 8),\n",
+       " ('New_Jersey', 7),\n",
+       " ('Georgia', 6),\n",
+       " ('Indiana', 5),\n",
+       " ('Nevada', 5),\n",
+       " ('Colorado', 4),\n",
+       " ('Virginia', 4),\n",
+       " ('Washington', 4),\n",
+       " ('Michigan', 3),\n",
+       " ('Minnesota', 3),\n",
+       " ('Connecticut', 2),\n",
+       " ('Wisconsin', 2),\n",
+       " ('Maine', 2),\n",
+       " ('North_Carolina', 2),\n",
+       " ('Kansas', 2),\n",
+       " ('Utah', 2),\n",
+       " ('Iowa', 1),\n",
+       " ('Idaho', 1),\n",
+       " ('South_Dakota', 1),\n",
+       " ('South_Carolina', 1),\n",
+       " ('Rhode_Island', 1)]"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "train_counter.most_common(100)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "most_common_answer = train_counter.most_common(100)[0][0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'New_York'"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "most_common_answer"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dev_predictions_jurisdiction = [most_common_answer] * len(dev_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['New_York',\n",
+       " 'New_York',\n",
+       " 'Delaware',\n",
+       " 'Massachusetts',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'Delaware',\n",
+       " 'New_Jersey',\n",
+       " 'New_York',\n",
+       " 'NONE',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'New_York',\n",
+       " 'Massachusetts',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Iowa',\n",
+       " 'California',\n",
+       " 'Virginia',\n",
+       " 'North_Carolina',\n",
+       " 'Arizona',\n",
+       " 'Indiana',\n",
+       " 'New_Jersey',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'Georgia',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'Kentucky',\n",
+       " 'Minnesota',\n",
+       " 'Ohio',\n",
+       " 'Michigan',\n",
+       " 'California',\n",
+       " 'Minnesota',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'Illinois',\n",
+       " 'Minnesota',\n",
+       " 'Texas',\n",
+       " 'New_Jersey',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Oregon',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Delaware',\n",
+       " 'Massachusetts',\n",
+       " 'California',\n",
+       " 'NONE',\n",
+       " 'Delaware',\n",
+       " 'Illinois',\n",
+       " 'Idaho',\n",
+       " 'Washington',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'California',\n",
+       " 'Utah',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'Virginia',\n",
+       " 'New_York',\n",
+       " 'New_York',\n",
+       " 'Illinois',\n",
+       " 'California',\n",
+       " 'Delaware',\n",
+       " 'NONE',\n",
+       " 'Texas',\n",
+       " 'California',\n",
+       " 'Washington',\n",
+       " 'Delaware',\n",
+       " 'Washington',\n",
+       " 'New_York',\n",
+       " 'Washington',\n",
+       " 'Illinois']"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dev_expected_jurisdiction"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "accuracy:  0.14457831325301204\n"
+     ]
+    }
+   ],
+   "source": [
+    "counter = 0 \n",
+    "for pred, exp in zip(dev_predictions_jurisdiction, dev_expected_jurisdiction):\n",
+    "    if pred == exp:\n",
+    "        counter +=1\n",
+    "print('accuracy: ', counter/len(dev_predictions_jurisdiction))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.14457831325301204"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "accuracy_score(dev_predictions_jurisdiction, dev_expected_jurisdiction)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Co jeżeli nazwy klas nie występują explicite w zbiorach?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "https://git.wmi.amu.edu.pl/kubapok/paranormal-or-skeptic-ISI-public\n",
+    "    \n",
+    "https://git.wmi.amu.edu.pl/kubapok/sport-text-classification-ball-ISI-public"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "SPORT_PATH='/home/kuba/Syncthing/przedmioty/2020-02/ISI/zajecia6_klasyfikacja/repos/sport-text-classification-ball'\n",
+    "\n",
+    "SPORT_TRAIN=$SPORT_PATH/train/train.tsv.gz\n",
+    "    \n",
+    "SPORT_DEV_EXP=$SPORT_PATH/dev-0/expected.tsv"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### jaki jest baseline dla sport classification ball?\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "zcat  $SPORT_TRAIN | awk '{print $1}'  | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "zcat  $SPORT_TRAIN | awk '{print $1}'  | grep 1 | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "cat  $SPORT_DEV_EXP | wc -l\n",
+    "\n",
+    "grep 1  $SPORT_DEV_EXP | wc -l"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Sprytne podejście do klasyfikacji tekstu? Naiwny bayess"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/kuba/anaconda3/lib/python3.8/site-packages/gensim/similarities/__init__.py:15: UserWarning: The gensim.similarities.levenshtein submodule is disabled, because the optional Levenshtein package <https://pypi.org/project/python-Levenshtein/> is unavailable. Install Levenhstein (e.g. `pip install python-Levenshtein`) to suppress this warning.\n",
+      "  warnings.warn(msg)\n"
+     ]
+    }
+   ],
+   "source": [
+    "from sklearn.datasets import fetch_20newsgroups\n",
+    "# https://scikit-learn.org/0.19/datasets/twenty_newsgroups.html\n",
+    "\n",
+    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
+    "import numpy as np\n",
+    "import sklearn.metrics\n",
+    "import gensim"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups = fetch_20newsgroups()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups_text = newsgroups['data']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "newsgroups_text_tokenized = [list(set(gensim.utils.tokenize(x, lowercase = True))) for x in newsgroups_text]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "From: lerxst@wam.umd.edu (where's my thing)\n",
+      "Subject: WHAT car is this!?\n",
+      "Nntp-Posting-Host: rac3.wam.umd.edu\n",
+      "Organization: University of Maryland, College Park\n",
+      "Lines: 15\n",
+      "\n",
+      " I was wondering if anyone out there could enlighten me on this car I saw\n",
+      "the other day. It was a 2-door sports car, looked to be from the late 60s/\n",
+      "early 70s. It was called a Bricklin. The doors were really small. In addition,\n",
+      "the front bumper was separate from the rest of the body. This is \n",
+      "all I know. If anyone can tellme a model name, engine specs, years\n",
+      "of production, where this car is made, history, or whatever info you\n",
+      "have on this funky looking car, please e-mail.\n",
+      "\n",
+      "Thanks,\n",
+      "- IL\n",
+      "   ---- brought to you by your neighborhood Lerxst ----\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(newsgroups_text[0])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "['lerxst', 'on', 'be', 'name', 'brought', 'late', 'front', 'umd', 'bumper', 'door', 'there', 'subject', 'day', 'early', 'history', 'me', 'neighborhood', 'university', 'mail', 'doors', 'by', 'funky', 'if', 'engine', 'know', 'years', 'maryland', 'your', 'rest', 'is', 'info', 'body', 'have', 'tellme', 'out', 'anyone', 'small', 'wam', 'il', 'organization', 'thanks', 'park', 'made', 'whatever', 'other', 'specs', 'wondering', 'lines', 'from', 'was', 'a', 'what', 'the', 's', 'or', 'please', 'all', 'rac', 'i', 'looked', 'really', 'edu', 'where', 'to', 'e', 'my', 'it', 'car', 'addition', 'can', 'of', 'production', 'in', 'saw', 'separate', 'you', 'thing', 'posting', 'bricklin', 'could', 'enlighten', 'nntp', 'model', 'were', 'host', 'looking', 'this', 'college', 'sports', 'called']\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(newsgroups_text_tokenized[0])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Y = newsgroups['target']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([7, 4, 4, ..., 3, 1, 8])"
+      ]
+     },
+     "execution_count": 24,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Y_names = newsgroups['target_names']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['alt.atheism',\n",
+       " 'comp.graphics',\n",
+       " 'comp.os.ms-windows.misc',\n",
+       " 'comp.sys.ibm.pc.hardware',\n",
+       " 'comp.sys.mac.hardware',\n",
+       " 'comp.windows.x',\n",
+       " 'misc.forsale',\n",
+       " 'rec.autos',\n",
+       " 'rec.motorcycles',\n",
+       " 'rec.sport.baseball',\n",
+       " 'rec.sport.hockey',\n",
+       " 'sci.crypt',\n",
+       " 'sci.electronics',\n",
+       " 'sci.med',\n",
+       " 'sci.space',\n",
+       " 'soc.religion.christian',\n",
+       " 'talk.politics.guns',\n",
+       " 'talk.politics.mideast',\n",
+       " 'talk.politics.misc',\n",
+       " 'talk.religion.misc']"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y_names"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'talk.politics.guns'"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y_names[16]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P('talk.politics.guns' | 'gun')=  ?$ \n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "$P(A|B) * P(A) = P(B) * P(B|A)$\n",
+    "\n",
+    "$P(A|B) = \\frac{P(B) * P(B|A)}{P(A)}$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P('talk.politics.guns' | 'gun') * P('gun') = P('gun'|'talk.politics.guns') * P('talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$P('talk.politics.guns' | 'gun')  = \\frac{P('gun'|'talk.politics.guns') * P('talk.politics.guns')}{P('gun')}$\n",
+    "\n",
+    "\n",
+    "$p1 = P('gun'|'talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$p2 = P('talk.politics.guns')$\n",
+    "\n",
+    "\n",
+    "$p3 = P('gun')$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p1 = P('gun'|'talk.politics.guns')$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "talk_politics_guns = [x for x,y in zip(newsgroups_text_tokenized,Y) if y == 16]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "546"
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(talk_politics_guns)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "253"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len([x for x in talk_politics_guns if 'gun' in x])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "p1 = len([x for x in talk_politics_guns if 'gun' in x]) / len(talk_politics_guns)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.4633699633699634"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p2 = P('talk.politics.guns')$\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "p2 = len(talk_politics_guns) / len(Y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.048258794414000356"
+      ]
+     },
+     "execution_count": 34,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## obliczanie $p3 = P('gun')$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "p3 = len([x for x in newsgroups_text_tokenized if 'gun' in x]) / len(Y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.03270284603146544"
+      ]
+     },
+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p3"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## ostatecznie"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.6837837837837839"
+      ]
+     },
+     "execution_count": 37,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "(p1 * p2) / p3"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 38,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_prob(index ):\n",
+    "    talks_topic = [x for x,y in zip(newsgroups_text_tokenized,Y) if y == index]\n",
+    "\n",
+    "    len([x for x in talks_topic if 'gun' in x])\n",
+    "\n",
+    "    if len(talks_topic) == 0:\n",
+    "        return 0.0\n",
+    "    p1 = len([x for x in talks_topic if 'gun' in x]) / len(talks_topic)\n",
+    "    p2 = len(talks_topic) / len(Y)\n",
+    "    p3 = len([x for x in newsgroups_text_tokenized if 'gun' in x]) / len(Y)\n",
+    "\n",
+    "    if p3 == 0:\n",
+    "        return 0.0\n",
+    "    else: \n",
+    "        return (p1 * p2)/ p3\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.01622 \t\t alt.atheism\n",
+      "0.00000 \t\t comp.graphics\n",
+      "0.00541 \t\t comp.os.ms-windows.misc\n",
+      "0.01892 \t\t comp.sys.ibm.pc.hardware\n",
+      "0.00270 \t\t comp.sys.mac.hardware\n",
+      "0.00000 \t\t comp.windows.x\n",
+      "0.01351 \t\t misc.forsale\n",
+      "0.04054 \t\t rec.autos\n",
+      "0.01892 \t\t rec.motorcycles\n",
+      "0.00270 \t\t rec.sport.baseball\n",
+      "0.00541 \t\t rec.sport.hockey\n",
+      "0.03784 \t\t sci.crypt\n",
+      "0.02973 \t\t sci.electronics\n",
+      "0.00541 \t\t sci.med\n",
+      "0.01622 \t\t sci.space\n",
+      "0.00270 \t\t soc.religion.christian\n",
+      "0.68378 \t\t talk.politics.guns\n",
+      "0.04595 \t\t talk.politics.mideast\n",
+      "0.03784 \t\t talk.politics.misc\n",
+      "0.01622 \t\t talk.religion.misc\n",
+      "1.00000 \t\tsuma\n"
+     ]
+    }
+   ],
+   "source": [
+    "probs = []\n",
+    "for i in range(len(Y_names)):\n",
+    "    probs.append(get_prob(i))\n",
+    "    print(\"%.5f\" %   get_prob(i),'\\t\\t', Y_names[i])\n",
+    "    \n",
+    "print(\"%.5f\" % sum(probs), '\\t\\tsuma',)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_prob2(index, word ):\n",
+    "    talks_topic = [x for x,y in zip(newsgroups_text_tokenized,Y) if y == index]\n",
+    "\n",
+    "    len([x for x in talks_topic if word in x])\n",
+    "\n",
+    "    if len(talks_topic) == 0:\n",
+    "        return 0.0\n",
+    "    p1 = len([x for x in talks_topic if word in x]) / len(talks_topic)\n",
+    "    p2 = len(talks_topic) / len(Y)\n",
+    "    p3 = len([x for x in newsgroups_text_tokenized if word in x]) / len(Y)\n",
+    "\n",
+    "    if p3 == 0:\n",
+    "        return 0.0\n",
+    "    else: \n",
+    "        return (p1 * p2)/ p3\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 44,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.20874 \t\t alt.atheism\n",
+      "0.00850 \t\t comp.graphics\n",
+      "0.00364 \t\t comp.os.ms-windows.misc\n",
+      "0.00850 \t\t comp.sys.ibm.pc.hardware\n",
+      "0.00243 \t\t comp.sys.mac.hardware\n",
+      "0.00485 \t\t comp.windows.x\n",
+      "0.00607 \t\t misc.forsale\n",
+      "0.01092 \t\t rec.autos\n",
+      "0.02063 \t\t rec.motorcycles\n",
+      "0.01456 \t\t rec.sport.baseball\n",
+      "0.01092 \t\t rec.sport.hockey\n",
+      "0.00485 \t\t sci.crypt\n",
+      "0.00364 \t\t sci.electronics\n",
+      "0.00364 \t\t sci.med\n",
+      "0.01092 \t\t sci.space\n",
+      "0.41748 \t\t soc.religion.christian\n",
+      "0.03398 \t\t talk.politics.guns\n",
+      "0.02791 \t\t talk.politics.mideast\n",
+      "0.02549 \t\t talk.politics.misc\n",
+      "0.17233 \t\t talk.religion.misc\n",
+      "1.00000 \t\tsuma\n"
+     ]
+    }
+   ],
+   "source": [
+    "probs = []\n",
+    "for i in range(len(Y_names)):\n",
+    "    probs.append(get_prob2(i,'god'))\n",
+    "    print(\"%.5f\" %   get_prob2(i,'god'),'\\t\\t', Y_names[i])\n",
+    "    \n",
+    "print(\"%.5f\" % sum(probs), '\\t\\tsuma',)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## założenie naiwnego bayesa"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$P(class | word1, word2, word3)  = \\frac{P(word1, word2, word3|class) * P(class)}{P(word1, word2, word3)}$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**przy założeniu o niezależności zmiennych losowych $word1$, $word2$, $word3$**:\n",
+    "\n",
+    "\n",
+    "$P(word1, word2, word3|class) = P(word1|class)* P(word2|class) *  P(word3|class)$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**ostatecznie:**\n",
+    "\n",
+    "\n",
+    "$P(class | word1, word2, word3)  = \\frac{P(word1|class)* P(word2|class) *  P(word3|class)  * P(class)}{\\sum_k{P(word1|class_k)* P(word2|class_k) *  P(word3|class_k)  * P(class_k)}}$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## zadania domowe naiwny bayes1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- analogicznie zaimplementować funkcję get_prob3(index, document_tokenized), argument document_tokenized ma być zbiorem słów dokumentu. funkcja ma być naiwnym klasyfikatorem bayesowskim (w przypadku wielu słów)\n",
+    "- odpalić powyższy listing prawdopodobieństw z funkcją get_prob3 dla dokumentów: {'i','love','guns'} oraz {'is','there','life','after'\n",
+    ",'death'}\n",
+    "- zadanie proszę zrobić w jupyterze, wygenerować pdf (kod + wyniki odpalenia) i umieścić go jako zadanie w teams\n",
+    "- termin 12.05, punktów: 40\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## zadania domowe naiwny bayes1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- wybrać jedno z poniższych repozytoriów i je sforkować:\n",
+    "  - https://git.wmi.amu.edu.pl/kubapok/paranormal-or-skeptic-ISI-public\n",
+    "  - https://git.wmi.amu.edu.pl/kubapok/sport-text-classification-ball-ISI-public\n",
+    "- stworzyć klasyfikator bazujący na naiwnym bayessie (może być gotowa biblioteka)\n",
+    "- stworzyć predykcje w plikach dev-0/out.tsv oraz test-A/out.tsv\n",
+    "- wynik accuracy sprawdzony za pomocą narzędzia geval (patrz poprzednie zadanie) powinien wynosić conajmniej 0.67\n",
+    "- proszę umieścić predykcję oraz skrypty generujące (w postaci tekstowej a nie jupyter) w repo, a w MS TEAMS umieścić link do swojego repo\n",
+    "termin 12.05, 40 punktów\n"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/wyk/07_Naiwny_klasyfikator_bayesowski.ipynb b/wyk/07_Naiwny_klasyfikator_bayesowski.ipynb
new file mode 100644
index 0000000..8208481
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+++ b/wyk/07_Naiwny_klasyfikator_bayesowski.ipynb
@@ -0,0 +1,316 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "damaged-senator",
+   "metadata": {},
+   "source": [
+    "# Klasyfikacja binarna dla tekstu\n",
+    "\n",
+    "Zakładamy, że mamy dwie klasy: $c$ i jej dopełnienie ($\\bar{c}$).\n",
+    "\n",
+    "Typowym przykładem jest zadanie klasyfikacji mejla, czy należy do spamu, czy nie (_spam_ vs _ham_), czyli innymi słowy filtr antyspamowy."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "explicit-gathering",
+   "metadata": {},
+   "source": [
+    "**Pytanie**: Czy można wyobrazić sobie zadanie klasyfikacji mejli, niebędące zadaniem klasyfikacji binarnej?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "material-watch",
+   "metadata": {},
+   "source": [
+    "Zakładamy paradygmat uczenia nadzorowanego, tzn. dysponujemy zbiorem uczącym.\n",
+    "\n",
+    "**Pytanie**: Czym jest i w jaki sposób powstaje zbiór uczący dla filtru antyspamowego?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "referenced-hello",
+   "metadata": {},
+   "source": [
+    "## Klasyfikacja regułowa\n",
+    "\n",
+    "Filtr anyspamowe _można_ zrealizować za pomocą metod innych niż opartych na uczeniu maszynowym. Można np. tworzyć reguły (np. wyrażenia regularne). Przykładem są (barokowe...) reguły w programie SpamAssassin, zob. fragment [pliku reguł](https://github.com/apache/spamassassin/blob/trunk/rules/20_advance_fee.cf):\n",
+    "\n",
+    "```\n",
+    "header __FRAUD_VQE\tSubject =~ /^(?:Re:|\\[.{1,10}\\])?\\s*(?:very )?urgent\\s+(?:(?:and|&)\\s+)?(?:confidential|assistance|business|attention|reply|response|help)\\b/i\n",
+    "\n",
+    "body __FRAUD_DBI\t/(?:\\bdollars?\\b|\\busd(?:ollars)?(?:[0-9]|\\b)|\\bus\\$|\\$[0-9,.]{6,}|\\$[0-9].{0,8}[mb]illion|\\$[0-9.,]{2,10} ?m|\\beuros?\\b|u[.]?s[.]? [0-9.]+ m)/i\n",
+    "body __FRAUD_KJV\t/(?:claim|concerning) (?:the|this) money/i\n",
+    "body __FRAUD_IRJ\t/(?:finance|holding|securit(?:ies|y)) (?:company|firm|storage house)/i\n",
+    "body __FRAUD_NEB\t/(?:government|bank) of nigeria/i\n",
+    "body __FRAUD_XJR\t/(?:who was a|as a|an? honest|you being a|to any) foreigner/i\n",
+    "```\n",
+    "\n",
+    "Jakie są wady i zalety regułowych filtrów antyspamowych?\n",
+    "\n",
+    "Współcześnie zdecydowanie dominuje użycie metod statystycznych (opartych na nadzorowanym uczeniu maszynowym). Do popularności tych metod przyczynił się artykuł [Plan for spam](http://www.paulgraham.com/spam.html) autorstwa Paula Grahama."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "cathedral-uganda",
+   "metadata": {},
+   "source": [
+    "## Podejście generatywne i dyskryminatywne\n",
+    "\n",
+    "W klasyfikacji (i w ogóle w uczeniu nadzorowanym) można wskazać dwa podejścia:\n",
+    "\n",
+    "* generatywne - wymyślamy pewną \"historyjkę\", w jaki sposób powstaje tekst, \"historyjka\" powinna mieć miejsca do wypełnienia (parametry), np. częstości wyrazów, na podstawie zbioru uczącego dobieramy wartości parametrów (przez rachunki wprost); \"historyjka\" nie musi być prawdziwa, wystarczy, że jakoś przybliża rzeczywistość\n",
+    "\n",
+    "* dyskryminatywne - nie zastanawiamy się, w jaki sposób powstają teksty, po prostu \"na siłę\" dobieramy wartości parametrów (wag) modelu, tak aby uzyskać jak najmniejszą wartość funkcji kosztu na zbiorze uczącym; zwykle odbywa się to w iteracyjnym procesie (tak jak przedstawiono na schemacie na poprzednim wykładzie).\n",
+    "\n",
+    "**Pytanie**: Jakie są wady i zalety obu podejść?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "powerful-engineer",
+   "metadata": {},
+   "source": [
+    "## Nasz \"dyżurny\" przykład\n",
+    "\n",
+    "Zakładamy, że nasz zbiór uczący ($X$) składa się z 4 dokumentów:\n",
+    "\n",
+    "* $x_1=\\mathit{kup\\ pan\\ Viagrę}$\n",
+    "* $x_2=\\mathit{tanie\\ miejsce\\ dla\\ pana}$\n",
+    "* $x_3=\\mathit{viagra\\ viagra\\ viagra}$\n",
+    "* $x_4=\\mathit{kup\\ tanie\\ cartridge'e}$\n",
+    "\n",
+    "z następującymi etykietami:\n",
+    "\n",
+    "* $y_1=c$ (spam)\n",
+    "* $y_2=\\bar{c}$ (nie-spam)\n",
+    "* $y_3=c$\n",
+    "* $y_4=c$\n",
+    "\n",
+    "Zakładamy, że dokumenty podlegają lematyzacji i sprowadzeniu do mały liter, więc ostatecznie będziemy mieli następujące ciąg termów:\n",
+    "\n",
+    "* $x_1=(\\mathit{kupić}, \\mathit{pan}, \\mathit{viagra})$\n",
+    "* $x_2=(\\mathit{tani}, \\mathit{miejsce}, \\mathit{dla}, \\mathit{pana})$\n",
+    "* $x_3=(\\mathit{viagra}, \\mathit{viagra}, \\mathit{viagra})$\n",
+    "* $x_4=(\\mathit{kupić}, \\mathit{tani}, \\mathit{cartridge})$\n",
+    "\n",
+    "Uczymy na tym zbiorze klasyfikator, który będziemy testować na dokumencie $d=\\mathit{tania tania viagra dla pana}$, tj. po normalizacji\n",
+    "$d=(\\mathit{tani}, \\mathit{tani}, \\mathit{viagra}, \\mathit{dla}, \\mathit{pan})$.\n",
+    "\n",
+    "**Uwaga:** Przykład jest oczywiście nierealistyczny i trudno będzie nam ocenić sensowność odpowiedzi. Za to będziemy w stanie policzyć ręcznie wynik.\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "controversial-rotation",
+   "metadata": {},
+   "source": [
+    "## Naiwny klasyfikator bayesowski\n",
+    "\n",
+    "* _naiwny_ - niekoniecznie oznacza, że to \"głupi\", bezużyteczny klasyfikator\n",
+    "* _klasyfikator_ \n",
+    "* _bayesowski_ - będzie odwoływać się do wzoru Bayesa.\n",
+    "\n",
+    "Naiwny klasyfikator bayesowski raczej nie powinien być stosowany \"produkcyjnie\" (są lepsze metody). Natomiast jest to metoda bardzo prosta w implementacji dająca przyzwoity _baseline_.\n",
+    "\n",
+    "Naiwny klasyfikator bayesowski ma dwie odmiany:\n",
+    "\n",
+    "* wielomianową,\n",
+    "* Bernoulliego.\n",
+    "\n",
+    "Wielomianowy naiwny klasyfikator bayesowski jest częściej spotykany i od niego zaczniemy."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "spatial-citizenship",
+   "metadata": {},
+   "source": [
+    "Mamy dokument $d$ i dwie klasy $c$ i $\\bar{c}$. Policzymy prawdopodobieństwa $P(c|d)$ (mamy dokument $d$, jakie jest prawdopodobieństwo, że to klasa $c$) i $P(\\bar{c}|d)$. A właściwie będziemy te prawdopodobieństwa porównywać.\n",
+    "\n",
+    "**Uwaga**: nasz zapis to skrót notacyjny, właściwie powinniśmy podać zmienne losowe $P(C=c|D=d)$, ale zazwyczaj będziemy je pomijać. \n",
+    "\n",
+    "**Pytanie**: kiedy ostatecznie nasz klasyfikator zwróci informację, że klasa $c$, a kiedy że $\\bar{c}$? czy użytkownika interesują prawdopodobieństwa $P(c|d)$ i $P(\\bar{c}|d)$?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "united-recognition",
+   "metadata": {},
+   "source": [
+    "Zastosujmy najpierw wzór Bayesa.\n",
+    "\n",
+    "$P(c|d) = \\frac{P(d|c) P(c)}{P(d)} \\propto P(d|c) P(c)$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "present-draft",
+   "metadata": {},
+   "source": [
+    "$P(\\bar{c}|d) = \\frac{P(d|\\bar{c}) P(\\bar{c})}{P(d)} \\propto P(d|\\bar{c}) P(\\bar{c}) $"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "accepting-tamil",
+   "metadata": {},
+   "source": [
+    "(Oczywiście skądinąd $P(\\bar{c}|d) = 1 - P(c|d)$, ale nie będziemy teraz tego wykorzystywali.)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "equipped-outreach",
+   "metadata": {},
+   "source": [
+    "Co możemy pominąć, jeśli tylko porównujemy $P(c|d)$ i $P(\\bar{c}|d)$?\n",
+    "\n",
+    "Użyjmy znaku proporcjonalności $\\propto$:\n",
+    "\n",
+    "$P(c|d) = \\frac{P(d|c) P(c)}{P(d)} \\propto P(d|c) P(c)$\n",
+    "\n",
+    "$P(\\bar{c}|d) = \\frac{P(d|\\bar{c}) P(\\bar{c})}{P(d)} \\propto P(d|\\bar{c}) P(\\bar{c})$\n",
+    "\n",
+    "**Pytanie:** czy iloczyn $P(d|c)P(c)$ można interpretować jako prawdopodobieństwo?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "active-motor",
+   "metadata": {},
+   "source": [
+    "#### Prawdopodobieństwo _a priori_\n",
+    "\n",
+    "$P(c)$ - prawdopodobieństwo a priori klasy $c$\n",
+    "\n",
+    "$\\hat{P}(c) = \\frac{N_c}{N}$\n",
+    "\n",
+    "gdzie\n",
+    "\n",
+    "* N - liczba wszystkich dokumentów w zbiorze uczącym\n",
+    "* N_c - liczba dokumentow w zbiorze uczącym z klasą $c$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "trying-indonesian",
+   "metadata": {},
+   "source": [
+    "#### Prawdopodobieństwo _a posteriori_\n",
+    "\n",
+    "Jak interpretować $P(d|c)$?\n",
+    "\n",
+    "Wymyślmy sobie model generatywny, $P(d|c)$ będzie prawdopodobieństwem, że spamer (jeśli $c$ to spam) wygeneruje tekst.\n",
+    "\n",
+    "Załóżmy, że dokument $d$ to ciąg $n$ termów, $d = (t_1\\dots t_n)$. Na razie niewiele z tego wynika."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "median-nomination",
+   "metadata": {},
+   "source": [
+    "$P(d|c) = P(t_1\\dots t_n|c)$\n",
+    "\n",
+    "Żeby pójść dalej musimy doszczegółowić nasz model generatywny. Przyjmijmy bardzo naiwny i niezgodny z rzeczywistością model spamera (i nie-spamera): spamer wyciąga wyrazy z worka i wrzuca je z powrotem (losowanie ze zwracaniem). Jedyne co odróżnia spamera i nie-spamera, to **prawdopodobieństwo wylosowania wyrazu** (np. spamer wylosuje słowo _Viagra_ z dość dużym prawdopodobieństwem, nie-spamer - z bardzo niskim).\n",
+    "\n",
+    "**Pytanie:** Ile może wynosić $P(\\mathit{Viagra}|c)$?\n",
+    "\n",
+    "Po przyjęciu takich \"naiwnych założeń\":\n",
+    "\n",
+    "$$P(d|c) = P(t_1\\dots t_n|c) \\approx P(t_1|c)\\dots P(t_n|c) = \\prod_i^n P(t_i|c)$$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "romantic-verse",
+   "metadata": {},
+   "source": [
+    "Jak oszacować $\\hat{P}(t|c)$?\n",
+    "\n",
+    "$$\\hat{P}(t|c) = \\frac{\\#(t,c)}{\\sum_i^{|V|} \\#(t_i,c)} = \\frac{\\mathit{ile\\ razy\\ term\\ t\\ pojawił\\ się\\ w\\ dokumentach\\ klasy\\ c}}{liczba\\ wyrazów\\ w\\ klasie\\ c}$$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "interracial-today",
+   "metadata": {},
+   "source": [
+    "### Wygładzanie\n",
+    "\n",
+    "Mamy problem z zerowymi prawdopodobieństwami.\n",
+    "\n",
+    "Czy jeśli w naszym zbiorze uczącym spamerzy ani razu nie użyli słowa _wykładzina_, to $P(\\mathit{wykładzina}|c) = 0$?.\n",
+    "\n",
+    "Musimy zastosować wygładzanie (_smoothing_). Spróbujmy wymyślić wygładzanie wychodząc od zdroworozsądkowych aksjomatów.\n",
+    "\n",
+    "#### Aksjomaty wygładzania.\n",
+    "\n",
+    "Założmy, że mamy dyskretną przestrzeń probabilistyczną $\\Omega = \\{\\omega_1,\\dots,\\omega_m\\}$, zdarzenie $\\omega_i$ w naszym zbiorze uczącym wystąpiło $k_i$ razy. Wprost prawdopodobieństwa byśmy oszacowali tak: $P(\\omega_i) = \\frac{k_i}{\\sum_j^m k_j}$.\n",
+    "Szukamy zamiast tego funkcji wygładzającej $f(m, k, T)$ (innej niż $f(m, k, T) = \\frac{k}{T}$), która spełniałaby następujące aksjomaty:\n",
+    "\n",
+    "1. $f(m, k, T) \\in [0, 1]$\n",
+    "2. $f(m, k, T) \\in (0, 1)$ jeśli $m > 1$\n",
+    "3. $\\sum_i f(m, k_i, T) = 1$, jeśli $\\sum_i k_i = T$\n",
+    "4. $f(m, 0, 0) = \\frac{1}{m}$\n",
+    "5. $\\lim_{T \\to \\inf} f(m, k, T) = \\frac{k}{T}$\n",
+    "\n",
+    "Jaka funkcja spełnia te aksjomaty?\n",
+    "\n",
+    "$$f(m, k, T) = \\frac{k+1}{T+m}$$\n",
+    "\n",
+    "Jest to wygładzanie +1, albo wygładzanie Laplace'a.\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "accepting-stockholm",
+   "metadata": {},
+   "source": [
+    "Po zastosowaniu do naszego naiwnego klasyfikatora otrzymamy:\n",
+    "    \n",
+    "$$\\hat{P}(t|c) = \\frac{\\#(t,c) + 1}{\\sum_i^{|V|} \\#(t_i,c) + |V|}$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "moral-ceremony",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.9.2"
+  }
+ },
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+}