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   "cell_type": "markdown",
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    "id": "ak8MT1Wag70d"
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   "source": [
    "# CS490/590 Tutorial 1b: Classification\n",
    "\n",
    "Agenda:\n",
    "1. Classification running example: Iris Flowers\n",
    "2. Weight space & feature space intuition\n",
    "3. Perceptron convergence proof\n",
    "4. Gradient Descent for Multiclass Logisitc Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "ieBRF1MPg70k"
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bt-vGukJg70m"
   },
   "source": [
    "## Classification with Iris\n",
    "\n",
    "We're going to use the Iris dataset.\n",
    "\n",
    "We will only work with the first 2 flower classes\n",
    "(Setosa and Versicolour), and with just the first\n",
    "two features: length and width of the sepal \n",
    "\n",
    "If you don't know what the sepal is, see this\n",
    "diagram:\n",
    "https://www.math.umd.edu/~petersd/666/html/iris_with_labels.jpg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "oX0gAne3g70m",
    "outputId": "8ee05005-5a8a-410b-e9a8-1744e8842f5d",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ".. _iris_dataset:\n",
      "\n",
      "Iris plants dataset\n",
      "--------------------\n",
      "\n",
      "**Data Set Characteristics:**\n",
      "\n",
      "    :Number of Instances: 150 (50 in each of three classes)\n",
      "    :Number of Attributes: 4 numeric, predictive attributes and the class\n",
      "    :Attribute Information:\n",
      "        - sepal length in cm\n",
      "        - sepal width in cm\n",
      "        - petal length in cm\n",
      "        - petal width in cm\n",
      "        - class:\n",
      "                - Iris-Setosa\n",
      "                - Iris-Versicolour\n",
      "                - Iris-Virginica\n",
      "                \n",
      "    :Summary Statistics:\n",
      "\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "                    Min  Max   Mean    SD   Class Correlation\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "    sepal length:   4.3  7.9   5.84   0.83    0.7826\n",
      "    sepal width:    2.0  4.4   3.05   0.43   -0.4194\n",
      "    petal length:   1.0  6.9   3.76   1.76    0.9490  (high!)\n",
      "    petal width:    0.1  2.5   1.20   0.76    0.9565  (high!)\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "\n",
      "    :Missing Attribute Values: None\n",
      "    :Class Distribution: 33.3% for each of 3 classes.\n",
      "    :Creator: R.A. Fisher\n",
      "    :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n",
      "    :Date: July, 1988\n",
      "\n",
      "The famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\n",
      "from Fisher's paper. Note that it's the same as in R, but not as in the UCI\n",
      "Machine Learning Repository, which has two wrong data points.\n",
      "\n",
      "This is perhaps the best known database to be found in the\n",
      "pattern recognition literature.  Fisher's paper is a classic in the field and\n",
      "is referenced frequently to this day.  (See Duda & Hart, for example.)  The\n",
      "data set contains 3 classes of 50 instances each, where each class refers to a\n",
      "type of iris plant.  One class is linearly separable from the other 2; the\n",
      "latter are NOT linearly separable from each other.\n",
      "\n",
      ".. topic:: References\n",
      "\n",
      "   - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\n",
      "     Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n",
      "     Mathematical Statistics\" (John Wiley, NY, 1950).\n",
      "   - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\n",
      "     (Q327.D83) John Wiley & Sons.  ISBN 0-471-22361-1.  See page 218.\n",
      "   - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n",
      "     Structure and Classification Rule for Recognition in Partially Exposed\n",
      "     Environments\".  IEEE Transactions on Pattern Analysis and Machine\n",
      "     Intelligence, Vol. PAMI-2, No. 1, 67-71.\n",
      "   - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\".  IEEE Transactions\n",
      "     on Information Theory, May 1972, 431-433.\n",
      "   - See also: 1988 MLC Proceedings, 54-64.  Cheeseman et al\"s AUTOCLASS II\n",
      "     conceptual clustering system finds 3 classes in the data.\n",
      "   - Many, many more ...\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "iris = load_iris()\n",
    "print(iris['DESCR'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 880
    },
    "id": "Ub0JoD6Bg70n",
    "outputId": "8b6fc94f-4058-4afc-d632-84450d1b5411"
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   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1500x1500 with 25 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# code from\n",
    "# http://stackoverflow.com/questions/21131707/multiple-data-in-scatter-matrix\n",
    "from pandas.plotting import scatter_matrix\n",
    "import pandas as pd\n",
    "\n",
    "iris_data = pd.DataFrame(data=iris['data'],columns=iris['feature_names'])\n",
    "iris_data[\"target\"] = iris['target']\n",
    "color_wheel = {1: \"#0392cf\", \n",
    "               2: \"#7bc043\", \n",
    "               3: \"#ee4035\"}\n",
    "colors = iris_data[\"target\"].map(lambda x: color_wheel.get(x + 1))\n",
    "ax = scatter_matrix(iris_data, color=colors, alpha=0.6, figsize=(15, 15), diagonal='hist')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "kjHW1ZXvg70o"
   },
   "outputs": [],
   "source": [
    "# Select first 2 flower classes (~100 rows)\n",
    "# And first 2 features\n",
    "\n",
    "sepal_len = iris['data'][:100,0]\n",
    "sepal_wid = iris['data'][:100,1]\n",
    "labels = iris['target'][:100]\n",
    "\n",
    "# We will also center the data\n",
    "# This is done to make numbers nice, so that we have no\n",
    "# need for biases in our classification. (You might not\n",
    "# be able to remove biases this way in general.)\n",
    "\n",
    "sepal_len -= np.mean(sepal_len)\n",
    "sepal_wid -= np.mean(sepal_wid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 334
    },
    "id": "HNk_1_p3g70o",
    "outputId": "69c158f8-1a0b-4905-8264-60530809cd7d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'sepal width')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Iris\n",
    "\n",
    "plt.scatter(sepal_len, \n",
    "            sepal_wid,\n",
    "            c=labels,\n",
    "            cmap=plt.cm.Paired)\n",
    "plt.xlabel(\"sepal length\")\n",
    "plt.ylabel(\"sepal width\")\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "f1x6qvrZg70p"
   },
   "source": [
    "### Plotting Decision Boundary\n",
    "\n",
    "Plot decision boundary hypothese \n",
    "\n",
    "$$w_1 x_1 + w_2 x_2 \\ge 0$$\n",
    "\n",
    "for classification as Setosa."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "A6ToKQMBg70p"
   },
   "outputs": [],
   "source": [
    "def plot_sep(w1, w2, color='green'):\n",
    "    '''\n",
    "    Plot decision boundary hypothesis \n",
    "      w1 * sepal_len + w2 * sepal_wid = 0\n",
    "    in input space, highlighting the hyperplane\n",
    "    '''\n",
    "    plt.scatter(sepal_len, \n",
    "                sepal_wid,\n",
    "                c=labels,\n",
    "                cmap=plt.cm.Paired)\n",
    "    plt.title(\"Separation in Input Space\")\n",
    "    plt.ylim([-1.5,1.5])\n",
    "    plt.xlim([-1.5,2])\n",
    "    plt.xlabel(\"sepal length\")\n",
    "    plt.ylabel(\"sepal width\")\n",
    "    if w2 != 0:\n",
    "        m = -w1/w2\n",
    "        t = 1 if w2 > 0 else -1\n",
    "        plt.plot(\n",
    "            [-1.5,2.0], \n",
    "            [-1.5*m, 2.0*m], \n",
    "            '-y', \n",
    "            color=color)\n",
    "        plt.fill_between(\n",
    "            [-1.5, 2.0],\n",
    "            [m*-1.5, m*2.0],\n",
    "            [t*1.5, t*1.5],\n",
    "            alpha=0.2,\n",
    "            color=color)\n",
    "    if w2 == 0: # decision boundary is vertical\n",
    "        t = 1 if w1 > 0 else -1\n",
    "        plt.plot([0, 0],\n",
    "                 [-1.5, 2.0],\n",
    "                 '-y',\n",
    "                color=color)\n",
    "        plt.fill_between(\n",
    "            [0, 2.0*t],\n",
    "            [-1.5, -2.0],\n",
    "            [1.5, 2],\n",
    "            alpha=0.2,\n",
    "            color=color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "wFy1bxNBg70p",
    "outputId": "0b7831a4-ba6e-46a2-9eeb-b0a1fb231f1b"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example hypothesis\n",
    "#   sepal_wid >= 0\n",
    "\n",
    "plot_sep(0, 1)\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "OWUEOtpSg70q",
    "outputId": "5e96c5b2-54c1-49a1-bf93-4269f4e3d76f"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Another example hypothesis:\n",
    "#   -0.5*sepal_len + 1*sepal_wid >= 0\n",
    "\n",
    "plot_sep(-0.5, 1)\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 367
    },
    "id": "vvCcNAaqg70q",
    "outputId": "58bb832c-6068-4c0f-c488-4d400265cd6c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.971000000000001 -0.7989999999999999\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e7d0e20>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We're going to hand pick one point and\n",
    "# analyze that point:\n",
    "\n",
    "a1 = sepal_len[41]\n",
    "a2 = sepal_wid[41]\n",
    "print (a1, a2) # (-0.97, -0.79)\n",
    "\n",
    "plot_sep(-0.5, 1)\n",
    "plt.plot(a1, a2, 'ob') # highlight the point\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ACbOkwAgg70r"
   },
   "source": [
    "### Plot Constraints in Weight Space\n",
    "\n",
    "We'll plot the constraints for some of the points\n",
    "that we chose earlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "W8q2RCfng70r"
   },
   "outputs": [],
   "source": [
    "def plot_weight_space(sepal_len, sepal_wid, lab=1,\n",
    "                      color='steelblue',\n",
    "                      maxlim=2.0):\n",
    "    plt.title(\"Constraint(s) in Weight Space\")\n",
    "    plt.ylim([-maxlim,maxlim])\n",
    "    plt.xlim([-maxlim,maxlim])\n",
    "    plt.xlabel(\"w1\")\n",
    "    plt.ylabel(\"w2\")\n",
    "\n",
    "    if sepal_wid != 0:\n",
    "        m = -sepal_len/sepal_wid\n",
    "        t = 1*lab if sepal_wid > 0 else -1*lab\n",
    "        plt.plot([-maxlim, maxlim], \n",
    "                 [-maxlim*m, maxlim*m], \n",
    "                 '-y',\n",
    "                 color=color)\n",
    "        plt.fill_between(\n",
    "            [-maxlim, maxlim],     # x \n",
    "            [m*-maxlim, m*maxlim], # y-min\n",
    "            [t*maxlim, t*maxlim],      # y-max\n",
    "            alpha=0.2,\n",
    "            color=color)\n",
    "    if sepal_wid == 0: # decision boundary is vertical\n",
    "        t = 1*lab if sepal_len > 0 else -1*lab\n",
    "        plt.plot([0, 0], \n",
    "                 [-maxlim, maxlim], \n",
    "                 '-y',\n",
    "                 color=color)\n",
    "        plt.fill_between(\n",
    "            [0, 2.0*t],\n",
    "            [-maxlim, -maxlim],\n",
    "            [maxlim, maxlim],\n",
    "            alpha=0.2,\n",
    "            color=color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 367
    },
    "id": "aU5kWPPDg70r",
    "outputId": "6b5cfa9c-2a7c-4726-cbbd-118b2561deb8"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.971000000000001 -0.7989999999999999\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e74d6a0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the constraint for the point identified earlier:\n",
    "\n",
    "a1 = sepal_len[41]\n",
    "a2 = sepal_wid[41]\n",
    "print (a1, a2)\n",
    "\n",
    "plot_weight_space(a1, a2, lab=1)\n",
    "\n",
    "# Below is the hypothesis we plotted earlier\n",
    "# Notice it falls outside the range.\n",
    "plt.plot(-0.5, 1, 'og')\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "a8UDONoig70r"
   },
   "source": [
    "### Perceptron Learning Rule Example\n",
    "\n",
    "We'll take one step using the perceptron learning rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "7Vc9n9Lyg70s"
   },
   "outputs": [],
   "source": [
    "# Using the perceptron learning rule\n",
    "# TODO: Fill in\n",
    "\n",
    "w1 = -0.5 # + ...\n",
    "w2 =  1   # + ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "aLQLhJP8g70s",
    "outputId": "96cc098c-d187-445e-d268-87c561fa57b5"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e6c6820>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# This should bring the point closer to the boundary\n",
    "# In this case, the step brought the point into the\n",
    "# condition boundary\n",
    "plot_weight_space(a1, a2, lab=1)\n",
    "plt.plot(-0.5+a1, 1+a2, 'ob')\n",
    "# old hypothesis\n",
    "plt.plot(-0.5, 1, 'og')\n",
    "plt.plot([-0.5, -0.5+a1], [1, 1+a2], '-r')\n",
    "\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "SEe5Y6OLg70s",
    "outputId": "cfefb271-4d4b-4f34-edff-fa4c2a90b643",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Which means that the point (a1, a2) in input\n",
    "# space is correctly classified.\n",
    "\n",
    "plot_sep(-0.5+a1, 1+a2)\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CW_AHFRQg70s"
   },
   "source": [
    "### Visualizing Multiple Constraints\n",
    "\n",
    "We'll visualize multiple constraints in weight space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "JN2LdCM6g70t",
    "outputId": "de04a362-4e0f-4fde-b4d9-4b81a0716432"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e61f910>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Pick a second point\n",
    "b1 = sepal_len[84]\n",
    "b2 = sepal_wid[84]\n",
    "\n",
    "plot_sep(-0.5+a1, 1+a2)\n",
    "plt.plot(b1, b2, 'or') # plot the circle in red\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "AHZGYkUEg70t",
    "outputId": "2c367050-6540-4988-fa67-00e2b059c9e9"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e591790>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# our weights fall outside constraint of second pt.\n",
    "\n",
    "plot_weight_space(a1, a2, lab=1, color='blue')\n",
    "plot_weight_space(b1, b2, lab=-1, color='red')\n",
    "plt.plot(w1, w2, 'or')\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 662
    },
    "id": "wWD-FXp5g70u",
    "outputId": "8eed81f1-8c2f-4898-a8d8-7e8dd2885a3a"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/1448108669.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example of a separating hyperplane\n",
    "plot_weight_space(a1, a2, lab=1, color='blue') \n",
    "#plt.axes().set_aspect('equal', 'box')\n",
    "plot_weight_space(b1, b2, lab=-1, color='red')\n",
    "plt.plot(-1, 1, 'or')\n",
    "plt.show()\n",
    "plot_sep(-1, 1)\n",
    "#plt.axes().set_aspect('equal')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Ir8It7RSg70u"
   },
   "source": [
    "## Perceptron Convergence Proof:\n",
    "\n",
    "Hopeful claim: Every time the perceptron makes a mistake, the learning algo moves the current weight vector closer to all feasible weight vectors\n",
    "\n",
    "BUT: weight vector may not get close to feasible vector in the boundary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "2Yx7tj_Ug70u",
    "outputId": "0245ed49-5cfd-4408-d122-2375d0ceb425"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e3eaa00>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The feasible region is inside the intersection of these two regions:\n",
    "plot_weight_space(a1, a2, lab=1, color='blue')\n",
    "#plot_weight_space(b1, b2, lab=-1, color='red')\n",
    "\n",
    "# This is a vector in the feasible region.\n",
    "plt.plot(-0.3, 0.3, 'ok')\n",
    "\n",
    "# We started with this point\n",
    "plt.plot(-0.5, 1, 'og')\n",
    "\n",
    "# And ended up here\n",
    "plt.plot(-0.5+a1, 1+a2, 'or')\n",
    "\n",
    "# Notice that red point is further away to black than the green\n",
    "\n",
    "#plt.axes().set_aspect('equal', 'box')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0R-xZ7NJg70u"
   },
   "source": [
    "* So consider “generously feasible” weight vectors that lie within the feasible region by a margin at least as great as the length of the input vector that defines each constraint plane.\n",
    "* Every time the perceptron makes a mistake, the squared distance to all of these generously feasible weight vectors is always decreased by at least the squared length of the update vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "1aQ_I4fSg70v",
    "outputId": "20d9b28d-0b65-4c2a-edcd-01527d36f163",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_13160/423929230.py:13: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"-y\" (-> color='y'). The keyword argument will take precedence.\n",
      "  plt.plot([-maxlim, maxlim],\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f933e36d340>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_weight_space(a1, a2, lab=1, color='blue' ,maxlim=2)\n",
    "plot_weight_space(b1, b2, lab=-1, color='red', maxlim=2)\n",
    "\n",
    "plt.plot(-0.5, 1, 'og') # We started with this point\n",
    "plt.plot(-0.5+a1, 1+a2, 'or') # Then considered this point next\n",
    "plt.plot(-0.3, 0.3, 'ok') # This weight vector is in the feasible region (the overlapping region) for (both a1,a2) and (b1,b2) \n",
    "#plt.axes().set_aspect('equal', 'box')\n",
    "\n",
    "# red is closer to \"generously feasible\" vectors on the top left"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "v_2SSE0hg70v"
   },
   "source": [
    "### Summary: Informal Sketch of Proof of Convergence\n",
    "\n",
    "* Each time the perceptron makes a mistake, the current weight vector moves to decrease its squared distance from every weight vector in the “generously feasible” region.\n",
    "* The squared distance decreases by at least the squared length of the input vector.\n",
    "* So after a finite number of mistakes, the weight vector must lie in the feasible region if this region exists."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "id": "C87x1K8Kg70v"
   },
   "source": [
    "## Gradient Descent for Multiclass Logisitc Regression\n",
    "\n",
    "\n",
    "Multiclass logistic regression:\n",
    "\n",
    "\\begin{align}\n",
    "{\\bf z} &= {\\bf W}{\\bf x} + {\\bf b} \\\\\n",
    "{\\bf y} &= \\text{softmax}({\\bf z}) \\\\\n",
    "{\\mathcal L}_\\text{CE} &= -{\\bf t}^T(\\log \\bf{y}) \n",
    "\\end{align}\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "wI372oDsg70w",
    "outputId": "f7cb2619-8c14-481c-ebbc-52aa1ce744da"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.40546511 0.69314718 1.09861229]\n",
      "[ 4.48168907  7.3890561  20.08553692]\n"
     ]
    }
   ],
   "source": [
    "# Aside: lots of functions work on vectors\n",
    "\n",
    "print(np.log([1.5,2,3]))\n",
    "print(np.exp([1.5,2,3]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "zodfR-C4g70w"
   },
   "source": [
    "Start by expanding the cross entropy loss so that we can work with it\n",
    "\n",
    "$$ {\\mathcal L}_\\text{CE} = -\\sum_l t_l \\log(y_l)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "muSZ72_tg70w"
   },
   "source": [
    "### Main setup\n",
    "\n",
    "We'll take the derivative with respect to the loss:\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial w_{kj}} &= \n",
    "  \\frac{\\partial }{\\partial w_{kj}} (-\\sum_l t_l \\log(y_l)) \\\\\n",
    "&= -\\sum_l \\frac{t_l}{y_l} \\frac{\\partial y_l}{\\partial w_{kj}}\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Svy9RqBKg70w"
   },
   "source": [
    "Normally in calculus we have the rule:\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial y_l}{\\partial w_{kj}} &= \n",
    "  \\sum_m \\frac{\\partial y_l}{\\partial z_m} \\frac{\\partial z_m}{\\partial w_{kj}}\n",
    "\\end{align}\n",
    "\n",
    "But $w_{kj}$ is independent of $z_m$ for $m \\ne k$, so \n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial y_l}{\\partial w_{kj}} &= \n",
    "  \\frac{\\partial y_l}{\\partial z_k} \\frac{\\partial z_k}{\\partial w_{kj}}\n",
    "\\end{align}\n",
    "\n",
    "AND\n",
    "\n",
    "$$\\frac{\\partial z_k}{\\partial w_{kj}} = x_j$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EcWzVa1ig70w"
   },
   "source": [
    "Thus\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial w_{kj}} &= \n",
    "-\\sum_l \\frac{t_l}{y_l} \\frac{\\partial y_l}{\\partial z_k} \\frac{\\partial z_k}{\\partial w_{kj}} \\\\\n",
    "&= \n",
    "-\\sum_l \\frac{t_l}{y_l} \\frac{\\partial y_l}{\\partial z_k} x_j \\\\\n",
    "&= x_j (-\\sum_l \\frac{t_l}{y_l} \\frac{\\partial y_l}{\\partial z_k}) \\\\\n",
    "&= x_j \\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial z_k} \n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "tmKGVinRg70w"
   },
   "source": [
    "### Derivative with respect to $z_k$\n",
    "\n",
    "But we can show that\n",
    "\n",
    "$$\n",
    "\\frac{\\partial y_l}{\\partial z_k} = y_k (I_{k,l} - y_l)\n",
    "$$\n",
    "\n",
    "Where $I_{k,l} = 1$ if $k=l$ and $0$ otherwise.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_yp5Zn4Qg70x"
   },
   "source": [
    "\n",
    "Therefore\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial z_k} &= \n",
    "-\\sum_l \\frac{t_l}{y_l} (y_k (I_{k,l} - y_l)) \\\\\n",
    "&= -\\frac{t_k}{y_k} y_k(1 - y_k) - \\sum_{l \\ne k} \\frac{t_l}{y_l} (-y_k y_l) \\\\\n",
    "&= - t_k(1 - y_k) + \\sum_{l \\ne k} t_l y_k \\\\\n",
    "&= -t_k + t_k y_k + \\sum_{l \\ne k} t_l y_k \\\\\n",
    "&= -t_k + \\sum_{l} t_l y_k \\\\\n",
    "&= -t_k + y_k \\sum_{l} t_l  \\\\\n",
    "&= -t_k + y_k \\\\\n",
    "&= y_k - t_k\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Apg0WSp4g70x"
   },
   "source": [
    "### Putting it all together\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial w_{kj}}\n",
    "&= x_j (y_k - t_k)\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "a0NHzsUNg70x"
   },
   "source": [
    "### Vectorization\n",
    "\n",
    "Outer product.\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial {\\bf W}}\n",
    "&= (\\bf{y} - \\bf{t}) \\bf{x}^T \\\\\n",
    "\\frac{\\partial {\\mathcal L}_\\text{CE}}{\\partial {\\bf b}}\n",
    "&= (\\bf{y} - \\bf{t})\n",
    "\\end{align}\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "id": "n8ujHld0g70x"
   },
   "outputs": [],
   "source": [
    "def softmax(x):\n",
    "    #return np.exp(x) / np.sum(np.exp(x))\n",
    "    return np.exp(x - max(x)) / np.sum(np.exp(x - max(x)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "RPoaZ3kLg70x",
    "outputId": "28421505-83b0-4696-993c-96f622033057"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.06337894, 0.46831053, 0.46831053])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1 = np.array([1,3,3])\n",
    "softmax(x1) # prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "Ov8uZMHQg70x",
    "outputId": "b14384e3-a917-4657-b31b-557117931f3c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0. , 0.5, 0.5])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x2 = np.array([1000,3000,3000])\n",
    "softmax(x2) # prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "id": "Sy8eqNt8g70y"
   },
   "outputs": [],
   "source": [
    "def gradient(W, b, x, t):\n",
    "    '''\n",
    "    Gradient update for a single data point.\n",
    "        returns dW and db\n",
    "    This is meant to show how to implement the\n",
    "    obtained equation in code. (not tested)\n",
    "    '''\n",
    "    z = np.matmul(W, x) + b\n",
    "    y = softmax(z)\n",
    "    dW = np.matmul(x, (y-t).T)\n",
    "    db = (y-t)\n",
    "    return dW, db"
   ]
  }
 ],
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