From 49b2f853e49e4659c4fbb7b13487bb163787134d Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= <pawel.skorzewski@amu.edu.pl>
Date: Thu, 9 Mar 2023 08:11:32 +0100
Subject: [PATCH] =?UTF-8?q?Wyk=C5=82ad=202=20-=20poprawki?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 wyk/02_Regresja_liniowa_1.ipynb | 3222 ++++++++++++++++---------------
 1 file changed, 1642 insertions(+), 1580 deletions(-)

diff --git a/wyk/02_Regresja_liniowa_1.ipynb b/wyk/02_Regresja_liniowa_1.ipynb
index 76f830b..1d84819 100644
--- a/wyk/02_Regresja_liniowa_1.ipynb
+++ b/wyk/02_Regresja_liniowa_1.ipynb
@@ -332,11 +332,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-10-28T11:24:23.297410</dc:date>\n",
+       "    <dc:date>2023-03-09T07:46:53.868165</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.6.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.6.2, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -365,7 +365,7 @@
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        "    <defs>\n",
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+       "     <path id=\"m0f9f1c0e4b\" d=\"M 0 3 \n",
        "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
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        "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
@@ -377,99 +377,99 @@
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+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\large\\textrm{Wynik:}\\quad \\theta = \\left[\\begin{array}{r}-3.0174 \\\\ 1.1330 \\\\ \\end{array}\\right] \\quad J(\\theta) = 4.7632 \\quad \\textrm{po 1020 iteracjach}$"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Math object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "best_theta, history = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.05, eps=0.0001)\n",
+    "best_theta, history = gradient_descent(h, J, [0.0, 0.0], x, y, alpha=0.01, eps=0.0001)\n",
     "\n",
     "display(\n",
     "    Math(\n",
@@ -38818,7 +38831,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 25,
    "metadata": {
     "slideshow": {
      "slide_type": "notes"
@@ -38839,7 +38852,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 26,
    "metadata": {
     "scrolled": true,
     "slideshow": {
@@ -38850,7 +38863,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "e2f6797395434b26b93f0392c7b58207",
+       "model_id": "3cd73724ec0d4ba3909b7e1c0c3506c7",
        "version_major": 2,
        "version_minor": 0
       },
@@ -38867,7 +38880,7 @@
        "<function __main__.slide5(steps)>"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 26,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -38953,7 +38966,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 27,
    "metadata": {
     "slideshow": {
      "slide_type": "subslide"
@@ -38964,7 +38977,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "52.96131370254696\n"
+      "57.711124440555636\n"
      ]
     }
    ],
@@ -39000,6 +39013,28 @@
     " * Trzeba sprawdzić, jak przewidywania modelu zgadzają się z oczekiwaniami!"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "Czy możemy w tym celu użyć danych, których użyliśmy do uczenia modelu?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "**NIE!**"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {
@@ -39008,13 +39043,40 @@
     }
    },
    "source": [
-    "Czy możemy w tym celu użyć danych, których użyliśmy do uczenia modelu?\n",
-    "**NIE!**\n",
-    "\n",
-    " * Istotą uczenia maszynowego jest budowanie modeli/algorytmów, które dają dobre przewidywania dla **nieznanych** danych – takich, z którymi algorytm nie miał jeszcze styczności! Nie sztuką jest przewidywać rzeczy, które już sie zna.\n",
-    " * Dlatego testowanie/ewaluowanie modelu na zbiorze uczącym mija się z celem i jest nieprzydatne.\n",
-    " * Do ewaluacji modelu należy użyć oddzielnego zbioru danych.\n",
-    " * **Dane uczące i dane testowe zawsze powinny stanowić oddzielne zbiory!**"
+    " * Istotą uczenia maszynowego jest budowanie modeli/algorytmów, które dają dobre przewidywania dla **nieznanych** danych – takich, z którymi algorytm nie miał jeszcze styczności! Nie sztuką jest przewidywać rzeczy, które już sie zna."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Dlatego testowanie/ewaluowanie modelu **na zbiorze uczącym** mija się z celem i jest nieprzydatne."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Do ewaluacji modelu należy użyć oddzielnego zbioru danych."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    " **Dane uczące i dane testowe zawsze powinny stanowić oddzielne zbiory!**"
    ]
   },
   {
@@ -39043,7 +39105,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 28,
    "metadata": {
     "slideshow": {
      "slide_type": "skip"
@@ -39061,10 +39123,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 29,
    "metadata": {
     "slideshow": {
-     "slide_type": "subslide"
+     "slide_type": "fragment"
     }
    },
    "outputs": [
@@ -39072,7 +39134,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "4.36540743711836\n"
+      "3.713536032914909\n"
      ]
     }
    ],