GradientDescent.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:23.993097Z",
     "start_time": "2018-08-25T03:56:23.138209Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:24.006246Z",
     "start_time": "2018-08-25T03:56:23.998204Z"
    }
   },
   "outputs": [],
   "source": [
    "plt.style.use(['ggplot'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h5> Generate some data with:\n",
    "\\begin{equation} \\theta_0= 4 \\end{equation} \n",
    "\\begin{equation} \\theta_1= 3 \\end{equation} \n",
    "\n",
    "Add some Gaussian noise to the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:24.027559Z",
     "start_time": "2018-08-25T03:56:24.016052Z"
    }
   },
   "outputs": [],
   "source": [
    "X = 2 * np.random.rand(100,1)\n",
    "y = 4 +3 * X+np.random.randn(100,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot our data to check the relation between X and Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:24.780299Z",
     "start_time": "2018-08-25T03:56:24.032204Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.plot(X,y,'b.')\n",
    "plt.xlabel(\"$x$\", fontsize=18)\n",
    "plt.ylabel(\"$y$\", rotation=0, fontsize=18)\n",
    "_ =plt.axis([0,2,0,15])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Analytical way of Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:24.792752Z",
     "start_time": "2018-08-25T03:56:24.783380Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[4.14660597]\n",
      " [2.87479146]]\n"
     ]
    }
   ],
   "source": [
    "X_b = np.c_[np.ones((100,1)),X]\n",
    "theta_best = np.linalg.inv(X_b.T.dot(X_b)).dot(X_b.T).dot(y)\n",
    "print(theta_best)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h5>This is close to our real thetas 4 and 3. It cannot be accurate due to the noise I have introduced in data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:24.805370Z",
     "start_time": "2018-08-25T03:56:24.795517Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.14660597],\n",
       "       [9.89618888]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_new = np.array([[0],[2]])\n",
    "X_new_b = np.c_[np.ones((2,1)),X_new]\n",
    "y_predict = X_new_b.dot(theta_best)\n",
    "y_predict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h5>Let's plot prediction line with calculated:theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:25.168502Z",
     "start_time": "2018-08-25T03:56:24.808124Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 2, 0, 15]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X_new,y_predict,'r-')\n",
    "plt.plot(X,y,'b.')\n",
    "plt.xlabel(\"$x_1$\", fontsize=18)\n",
    "plt.ylabel(\"$y$\", rotation=0, fontsize=18)\n",
    "plt.axis([0,2,0,15])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gradient Descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cost Function & Gradients\n",
    "\n",
    "<h4> The equation for calculating cost function and gradients are as shown below. Please note the cost function is for Linear regression. For other algorithms the cost function will be different and the gradients would have  to be derived from the cost functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "<b>Cost</b>\n",
    "\\begin{equation}\n",
    "J(\\theta) = 1/2m \\sum_{i=1}^{m} (h(\\theta)^{(i)} - y^{(i)})^2 \n",
    "\\end{equation}\n",
    "\n",
    "<b>Gradient</b>\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial J(\\theta)}{\\partial \\theta_j} = 1/m\\sum_{i=1}^{m}(h(\\theta^{(i)} - y^{(i)}).X_j^{(i)}\n",
    "\\end{equation}\n",
    "\n",
    "<b>Gradients</b>\n",
    "\\begin{equation}\n",
    "\\theta_0: = \\theta_0 -\\alpha . (1/m .\\sum_{i=1}^{m}(h(\\theta^{(i)} - y^{(i)}).X_0^{(i)})\n",
    "\\end{equation}\n",
    "\\begin{equation}\n",
    "\\theta_1: = \\theta_1 -\\alpha . (1/m .\\sum_{i=1}^{m}(h(\\theta^{(i)} - y^{(i)}).X_1^{(i)})\n",
    "\\end{equation}\n",
    "\\begin{equation}\n",
    "\\theta_2: = \\theta_2 -\\alpha . (1/m .\\sum_{i=1}^{m}(h(\\theta^{(i)} - y^{(i)}).X_2^{(i)})\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "\\theta_j: = \\theta_j -\\alpha . (1/m .\\sum_{i=1}^{m}(h(\\theta^{(i)} - y^{(i)}).X_0^{(i)})\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:25.180630Z",
     "start_time": "2018-08-25T03:56:25.172904Z"
    }
   },
   "outputs": [],
   "source": [
    "\n",
    "def  cal_cost(theta,X,y):\n",
    "    '''\n",
    "    \n",
    "    Calculates the cost for given X and Y. The following shows and example of a single dimensional X\n",
    "    theta = Vector of thetas \n",
    "    X     = Row of X's np.zeros((2,j))\n",
    "    y     = Actual y's np.zeros((2,1))\n",
    "    \n",
    "    where:\n",
    "        j is the no of features\n",
    "    '''\n",
    "    \n",
    "    m = len(y)\n",
    "    \n",
    "    predictions = X.dot(theta)\n",
    "    cost = (1/2*m) * np.sum(np.square(predictions-y))\n",
    "    return cost\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:25.204130Z",
     "start_time": "2018-08-25T03:56:25.188272Z"
    }
   },
   "outputs": [],
   "source": [
    "def gradient_descent(X,y,theta,learning_rate=0.01,iterations=100):\n",
    "    '''\n",
    "    X    = Matrix of X with added bias units\n",
    "    y    = Vector of Y\n",
    "    theta=Vector of thetas np.random.randn(j,1)\n",
    "    learning_rate \n",
    "    iterations = no of iterations\n",
    "    \n",
    "    Returns the final theta vector and array of cost history over no of iterations\n",
    "    '''\n",
    "    m = len(y)\n",
    "    cost_history = np.zeros(iterations)\n",
    "    theta_history = np.zeros((iterations,2))\n",
    "    for it in range(iterations):\n",
    "        \n",
    "        prediction = np.dot(X,theta)\n",
    "        \n",
    "        theta = theta -(1/m)*learning_rate*( X.T.dot((prediction - y)))\n",
    "        theta_history[it,:] =theta.T\n",
    "        cost_history[it]  = cal_cost(theta,X,y)\n",
    "        \n",
    "    return theta, cost_history, theta_history\n",
    "        \n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Let's start with 1000 iterations and a learning rate of 0.01. Start with theta from a Gaussian distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T03:56:27.126960Z",
     "start_time": "2018-08-25T03:56:27.062811Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Theta0:          4.117,\n",
      "Theta1:          2.899\n",
      "Final cost/MSE:  5208.660\n"
     ]
    }
   ],
   "source": [
    "lr =0.01\n",
    "n_iter = 1000\n",
    "\n",
    "theta = np.random.randn(2,1)\n",
    "\n",
    "X_b = np.c_[np.ones((len(X),1)),X]\n",
    "theta,cost_history,theta_history = gradient_descent(X_b,y,theta,lr,n_iter)\n",
    "\n",
    "\n",
    "print('Theta0:          {:0.3f},\\nTheta1:          {:0.3f}'.format(theta[0][0],theta[1][0]))\n",
    "print('Final cost/MSE:  {:0.3f}'.format(cost_history[-1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Let's plot the cost history over iterations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T04:01:31.912400Z",
     "start_time": "2018-08-25T04:01:31.604459Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(figsize=(12,8))\n",
    "\n",
    "ax.set_ylabel('J(Theta)')\n",
    "ax.set_xlabel('Iterations')\n",
    "_=ax.plot(range(n_iter),cost_history,'b.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> After around 150 iterations the cost is flat so the remaining iterations  are not needed or will not result in any further optimization. Let us zoom in till iteration 200 and see the curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-19T05:22:30.561842Z",
     "start_time": "2018-08-19T05:22:30.371532Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig,ax = plt.subplots(figsize=(10,8))\n",
    "_=ax.plot(range(200),cost_history[:200],'b.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>It is worth while to note that the cost drops faster initially and then the gain in cost reduction is not as much"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### It would be great to see the effect of different learning rates and iterations together"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Let us  build a function which can show the effects together and also show how gradient decent actually is working"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T04:06:54.948007Z",
     "start_time": "2018-08-25T04:06:54.916435Z"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "\n",
    "def plot_GD(n_iter,lr,ax,ax1=None):\n",
    "     \"\"\"\n",
    "     n_iter = no of iterations\n",
    "     lr = Learning Rate\n",
    "     ax = Axis to plot the Gradient Descent\n",
    "     ax1 = Axis to plot cost_history vs Iterations plot\n",
    "\n",
    "     \"\"\"\n",
    "     _ = ax.plot(X,y,'b.')\n",
    "     theta = np.random.randn(2,1)\n",
    "\n",
    "     tr =0.1\n",
    "     cost_history = np.zeros(n_iter)\n",
    "     for i in range(n_iter):\n",
    "        pred_prev = X_b.dot(theta)\n",
    "        theta,h,_ = gradient_descent(X_b,y,theta,lr,1)\n",
    "        pred = X_b.dot(theta)\n",
    "\n",
    "        cost_history[i] = h[0]\n",
    "\n",
    "        if ((i % 25 == 0) ):\n",
    "            _ = ax.plot(X,pred,'r-',alpha=tr)\n",
    "            if tr < 0.8:\n",
    "                tr = tr+0.2\n",
    "     if not ax1== None:\n",
    "        _ = ax1.plot(range(n_iter),cost_history,'b.')  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot the graphs for different iterations and learning rates combination"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-25T04:07:09.977910Z",
     "start_time": "2018-08-25T04:07:00.484794Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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