minor changes

Author: atcemgil

Diff for: GradientDescent.ipynb

@@ -9,23 +9,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0 : 15.9938818182\n",
-      "1 : 11.6346546383\n",
-      "2 : 8.57455118197\n",
-      "3 : 6.4263659935\n",
-      "4 : 4.91830088281\n",
-      "5 : 3.85956758638\n",
-      "6 : 3.11624261595\n",
-      "7 : 2.5943186121\n",
-      "8 : 2.2278072717\n",
-      "9 : 1.97038821883\n"
+      "0 : 253.620021909\n",
+      "1 : 251.913914932\n",
+      "2 : 250.219709044\n",
+      "3 : 248.537321226\n",
+      "4 : 246.866669041\n",
+      "5 : 245.207670624\n",
+      "6 : 243.560244685\n",
+      "7 : 241.924310497\n",
+      "8 : 240.299787898\n",
+      "9 : 238.686597286\n"
      ]
     }
    ],
@@ -45,14 +45,14 @@
     "N = len(x)\n",
     "\n",
     "# Design matrix\n",
-    "A = np.vstack((np.ones(N), x)).T\n",
+    "A = np.vstack((np.ones(N), x, x**2, x**3)).T\n",
     "\n",
     "# Learning rate\n",
     "\n",
-    "eta = 0.01\n",
+    "eta = 0.000000001\n",
     "              \n",
     "# initial parameters\n",
-    "w = np.array([2., 1.])\n",
+    "w = np.array([2., 1.,0.1, 0.001])\n",
     "\n",
     "for epoch in range(10):\n",
     "    # Error\n",
@@ -74,14 +74,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "image/png": 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lKG6r2gtl+649Gjrl71n1KacP1YRjB4TQEZCJ8AtAnFa1F0Jd5/XatirSiqmnhNANUDfC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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x10d2a7588>"
+       "<matplotlib.figure.Figure at 0x10cf351d0>"
       ]
      },
      "metadata": {},
@@ -91,7 +91,7 @@
      "data": {
       "image/png": 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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x10d2a7588>"
+       "<matplotlib.figure.Figure at 0x10cf351d0>"
       ]
      },
      "metadata": {},