From 663c79ba3ca77fd25a129efed4a0383518e439b5 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= <pawel.skorzewski@amu.edu.pl>
Date: Fri, 19 Mar 2021 19:33:27 +0100
Subject: [PATCH] =?UTF-8?q?Uzupe=C5=82nienie=20materia=C5=82=C3=B3w=20do?=
 =?UTF-8?q?=20lab.=201?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 lab/1a_Podstawowe_narzędzia.ipynb |  115 +-
 wyk/2_Regresja_liniowa.ipynb       | 3205 ++++++++++++++--------------
 2 files changed, 1686 insertions(+), 1634 deletions(-)

diff --git a/lab/1a_Podstawowe_narzędzia.ipynb b/lab/1a_Podstawowe_narzędzia.ipynb
index c84c1ac..dec5fc6 100644
--- a/lab/1a_Podstawowe_narzędzia.ipynb
+++ b/lab/1a_Podstawowe_narzędzia.ipynb
@@ -728,7 +728,9 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "metadata": {},
+   "metadata": {
+    "scrolled": true
+   },
    "outputs": [
     {
      "data": {
@@ -1556,48 +1558,111 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
+   "execution_count": 158,
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/plain": [
-       "array([[1, 2, 3],\n",
-       "       [4, 5, 6],\n",
-       "       [7, 8, 9]])"
-      ]
-     },
-     "execution_count": 57,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[1 2 3]\n",
+      " [4 5 6]\n",
+      " [7 8 9]]\n"
+     ]
     }
    ],
    "source": [
     "x = np.array([1,2,3,4,5,6,7,8,9]).reshape(3,3)\n",
-    "x"
+    "print(x)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 159,
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/plain": [
-       "matrix([[1, 2, 3],\n",
-       "        [4, 5, 6],\n",
-       "        [7, 8, 9]])"
-      ]
-     },
-     "execution_count": 58,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[4 6 3]\n",
+      " [8 7 1]\n",
+      " [3 0 3]]\n"
+     ]
     }
    ],
+   "source": [
+    "y = np.array([4,6,3,8,7,1,3,0,3]).reshape(3,3)\n",
+    "print(y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 160,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "X = np.matrix(x)\n",
-    "X"
+    "Y = np.matrix(y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 161,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[ 4 12  9]\n",
+      " [32 35  6]\n",
+      " [21  0 27]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(x * y)  # Tablice np.array mnożone są element po elemencie"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 162,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[ 29  20  14]\n",
+      " [ 74  59  35]\n",
+      " [119  98  56]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(X * Y)  # Macierze np.matrix mnożone są macierzowo"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 164,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[ 29  20  14]\n",
+      " [ 74  59  35]\n",
+      " [119  98  56]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(np.matmul(x, y))"
    ]
   },
   {
diff --git a/wyk/2_Regresja_liniowa.ipynb b/wyk/2_Regresja_liniowa.ipynb
index 8cfcfcf..e947573 100644
--- a/wyk/2_Regresja_liniowa.ipynb
+++ b/wyk/2_Regresja_liniowa.ipynb
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 1,
    "metadata": {
     "slideshow": {
      "slide_type": "notes"
@@ -72,7 +72,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 2,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -125,7 +125,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 3,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -284,7 +284,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 4,
    "metadata": {
     "slideshow": {
      "slide_type": "notes"
@@ -330,7 +330,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 5,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -380,89 +380,89 @@
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        "C -1.836992 3.163008 -0.937635 3.535534 0 3.535534 \r\n",
        "z\r\n",
-       "\" id=\"m13a5c9af98\" style=\"stroke:#ff0000;\"/>\r\n",
+       "\" id=\"m032c9535a7\" style=\"stroke:#ff0000;\"/>\r\n",
        "    </defs>\r\n",
-       "    <g clip-path=\"url(#p5aa4694bcc)\">\r\n",
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@@ -542,7 +542,7 @@
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@@ -568,7 +568,7 @@
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@@ -599,7 +599,7 @@
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@@ -641,7 +641,7 @@
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@@ -657,7 +657,7 @@
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@@ -673,7 +673,7 @@
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@@ -689,7 +689,7 @@
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@@ -1136,7 +1136,7 @@
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@@ -1149,7 +1149,7 @@
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@@ -1163,7 +1163,7 @@
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@@ -1177,7 +1177,7 @@
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@@ -1191,7 +1191,7 @@
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@@ -1411,7 +1411,7 @@
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@@ -1447,7 +1447,7 @@
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@@ -1470,7 +1470,7 @@
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+   "execution_count": 6,
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@@ -1486,7 +1486,7 @@
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@@ -1507,7 +1507,7 @@
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@@ -1517,7 +1517,7 @@
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@@ -1534,7 +1534,7 @@
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-     "execution_count": 7,
+     "execution_count": 8,
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@@ -1661,7 +1661,7 @@
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@@ -1677,7 +1677,7 @@
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@@ -1723,7 +1723,7 @@
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@@ -1733,7 +1733,7 @@
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@@ -1750,7 +1750,7 @@
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@@ -1785,7 +1785,7 @@
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@@ -38569,7 +38569,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "cfbfb43286a44fa9a0aafa2db83176bb",
+       "model_id": "3a54cbe7d60f4ce8b728a007b7711aaf",
        "version_major": 2,
        "version_minor": 0
       },
@@ -38586,7 +38586,7 @@
        "<function __main__.slide4(steps)>"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -38695,7 +38695,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 21,
    "metadata": {
     "slideshow": {
      "slide_type": "notes"
@@ -38717,7 +38717,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 22,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -38748,7 +38748,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 39,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -38758,7 +38758,7 @@
     {
      "data": {
       "text/latex": [
-       "$\\displaystyle \\large\\textrm{Wynik:}\\quad \\theta = \\left[\\begin{array}{r}0.0525 \\\\ 0.8015 \\\\ \\end{array}\\right] \\quad J(\\theta) = 6.0273 \\quad \\textrm{po 3604 iteracjach}$"
+       "$\\displaystyle \\large\\textrm{Wynik:}\\quad \\theta = \\left[\\begin{array}{r}-3.5254 \\\\ 1.1820 \\\\ \\end{array}\\right] \\quad J(\\theta) = 4.7368 \\quad \\textrm{po 2843 iteracjach}$"
       ],
       "text/plain": [
        "<IPython.core.display.Math object>"
@@ -38769,7 +38769,7 @@
     }
    ],
    "source": [
-    "best_theta, log = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.00001, eps=0.0001)\n",
+    "best_theta, log = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.01, eps=0.0000001)\n",
     "\n",
     "display(Math(r'\\large\\textrm{Wynik:}\\quad \\theta = ' + \n",
     "             LatexMatrix(np.matrix(best_theta).reshape(2,1)) + \n",
@@ -38779,7 +38779,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 24,
    "metadata": {
     "slideshow": {
      "slide_type": "notes"
@@ -38797,7 +38797,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 34,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -38807,12 +38807,12 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "1dae926a503042499b5db05c8a27bae1",
+       "model_id": "71c5cd37598d4401bf9bc9436ec94c6a",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "interactive(children=(IntSlider(value=1, description='kroki', max=500), Button(description='Run Interact', sty…"
+       "interactive(children=(IntSlider(value=3, description='kroki', max=500), Button(description='Run Interact', sty…"
       ]
      },
      "metadata": {},
@@ -38824,7 +38824,7 @@
        "<function __main__.slide5(steps)>"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -38910,7 +38910,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 40,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -38921,7 +38921,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "43.01265462001823\n"
+      "59.83128964389119\n"
      ]
     }
    ],
@@ -40754,7 +40754,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 27,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -40762,28 +40762,15 @@
    },
    "outputs": [
     {
-     "data": {
-      "application/vnd.jupyter.widget-view+json": {
-       "model_id": "fbb851370a8c4e828554c3bfa27b3746",
-       "version_major": 2,
-       "version_minor": 0
-      },
-      "text/plain": [
-       "interactive(children=(FloatSlider(value=0.02, description='$\\\\alpha$', max=0.03, min=0.01, step=0.001), Button…"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<function __main__.slide7(alpha)>"
-      ]
-     },
-     "execution_count": 37,
-     "metadata": {},
-     "output_type": "execute_result"
+     "ename": "NameError",
+     "evalue": "name 'slide7' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "\u001b[1;32m<ipython-input-27-4a3779a7b6d5>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mwidgets\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minteract_manual\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mslide7\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0msliderAlpha1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
+      "\u001b[1;31mNameError\u001b[0m: name 'slide7' is not defined"
+     ]
     }
    ],
    "source": [