{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CS490/590 Tutorial 1a: Linear Regression\n",
    "\n",
    "In this tutorial, we'll go through another example of linear regression from an implementation\n",
    "perspective. We will use the Boston Housing dataset, and predict the median cost of a home\n",
    "in an area of Boston. We will:\n",
    "\n",
    "- set up the linear regression problem using numpy\n",
    "- show that vectorized code is faster (more in Lecture 2)\n",
    "- solve the linear regression problem using the closed form solution\n",
    "- solve the linear regression problem using gradient descent (more in Lecture 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Boston Housing Data\n",
    "\n",
    "The Boston Housing data is one of the \"toy datasets\" available in sklearn.\n",
    "We can import and display the dataset description like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# from sklearn.datasets import load_boston\n",
    "# boston_data = load_boston()\n",
    "# print(boston_data['DESCR'])\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "data_url = \"http://lib.stat.cmu.edu/datasets/boston\"\n",
    "raw_df = pd.read_csv(data_url, sep=\"\\s+\", skiprows=22, header=None)\n",
    "data = np.hstack([raw_df.values[::2, :], raw_df.values[1::2, :2]])\n",
    "y_target = raw_df.values[1::2, 2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To keep the example simple, we will only work with two features: `INDUS`\n",
    "and `RM`. The explanations of these features are in the description above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# take the boston data\n",
    "#data = boston_data['data']\n",
    "# we will only work with two of the features: INDUS and RM\n",
    "x_input = data[:, [2,5]]\n",
    "#y_target = boston_data['target']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just to give us an intuition of how these two features INDUS and RM\n",
    "affect housing prices, lets visualize the feature interactions.\n",
    "As expected, the more \"industrial\" a neighbourhood is, the lower the\n",
    "housing prices. The more rooms houses in a neighbourhood have, the\n",
    "higher the median housing price."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Individual plots for the two features:\n",
    "plt.title('Industrialness vs Med House Price')\n",
    "plt.scatter(x_input[:, 0], y_target)\n",
    "plt.xlabel('Industrialness')\n",
    "plt.ylabel('Med House Price')\n",
    "plt.show()\n",
    "\n",
    "plt.title('Avg Num Rooms vs Med House Price')\n",
    "plt.scatter(x_input[:, 1], y_target)\n",
    "plt.xlabel('Avg Num Rooms')\n",
    "plt.ylabel('Med House Price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the Cost Function\n",
    "\n",
    "In lecture, we defined the cost function for a linear regression problem using the square loss:\n",
    "\n",
    "$$\\mathcal{E}(y, t) = \\frac{1}{2N} \\sum_{i=1}^N (y^{(i)}-t^{(i)})^2$$\n",
    "\n",
    "In our case, since we have two features $x_1$ and $x_2$, our linear regression model will look like this:\n",
    "\n",
    "$$\\mathcal{E}(y, t) = \\frac{1}{2N} \\sum_{i=1}^N (w_1 x_1^{(i)} + w_2 x_2^{(i)} + b -t^{(i)})^2$$\n",
    "\n",
    "We can use the above formula to compute the cost function across an entire dataset (X, t):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cost(w1, w2, b, X, t):\n",
    "    '''\n",
    "    Evaluate the cost function in a non-vectorized manner for \n",
    "    inputs `X` and targets `t`, at weights `w1`, `w2` and `b`.\n",
    "    '''\n",
    "    # TODO: write this!\n",
    "    costs = 0\n",
    "    for i in range(len(t)):\n",
    "        y_i = w1 * X[i, 0] + w2 * X[i, 1] + b\n",
    "        t_i = t[i]\n",
    "        costs += 0.5 * (y_i - t_i) ** 2\n",
    "    return costs / len(t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, the cost for this hypothesis..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2241.1239166749006"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cost(3, 5, 20, x_input, y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "...is higher than this one:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1195.1098850543478"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cost(3, 5, 0, x_input, y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vectorizing the cost function:\n",
    "\n",
    "Vectorization is a way to use linear algbera to represent computations like the one above.\n",
    "In Python, vectorized code written in numpy tend to be faster than code that uses a `for` loop.\n",
    "We'll talk about vectorization in more detail in lecture 2. \n",
    "\n",
    "If we write the linear regression cost function using matrix computations, it would look like this:\n",
    "\n",
    "$$\\mathcal{E}(y, t) = \\frac{1}{2N} \\| \\bf{X} \\bf{w} + b \\bf{1} - \\bf{t} \\| ^2$$ \n",
    "\n",
    "Following the above formula, our vectorized code looks like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cost_vectorized(w1, w2, b, X, t):\n",
    "    '''\n",
    "    Evaluate the cost function in a vectorized manner for \n",
    "    inputs `X` and targets `t`, at weights `w1`, `w2` and `b`.\n",
    "    '''\n",
    "    # TODO: write this!\n",
    "    N = len(y_target)\n",
    "    w = np.array([w1, w2])\n",
    "    y = np.dot(X, w) + b * np.ones(N)\n",
    "    return np.sum((y - t)**2) / (2.0 * N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can check that the vectorized code provides the same answers as the non-vectorized code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2241.1239166749015"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TODO: write this!\n",
    "cost_vectorized(3, 5, 20, x_input, y_target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1195.1098850543478"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TODO: write this!\n",
    "cost_vectorized(3, 5, 0, x_input, y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing speed of the vectorized vs unvectorized code\n",
    "\n",
    "We'll see below that the vectorized code already\n",
    "runs ~2x faster than the non-vectorized code! \n",
    "\n",
    "Hopefully this will convince you to always vectorized your code whenever possible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Time for non-vectorized code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3182.406341674902\n",
      "0.000408172607421875\n"
     ]
    }
   ],
   "source": [
    "t0 = time.time()\n",
    "print(cost(4, 5, 20, x_input, y_target))\n",
    "t1 = time.time()\n",
    "print(t1 - t0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Time for vectorized code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3182.4063416749013\n",
      "0.0003380775451660156\n"
     ]
    }
   ],
   "source": [
    "t0 = time.time()\n",
    "print(cost_vectorized(4, 5, 20, x_input, y_target))\n",
    "t1 = time.time()\n",
    "print(t1 - t0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting cost in weight space\n",
    "\n",
    "We'll plot the cost for two of our weights, assuming that bias = -22.89831573.\n",
    "\n",
    "We'll see where that number comes from later.\n",
    "\n",
    "Notice the shape of the contours are ovals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w1s = np.arange(-1.0, 0.0, 0.01)\n",
    "w2s = np.arange(6.0, 10.0, 0.1)\n",
    "z_cost = []\n",
    "for w2 in w2s:\n",
    "    z_cost.append([cost_vectorized(w1, w2, -22.89831573, x_input, y_target) for w1 in w1s])\n",
    "z_cost = np.array(z_cost)\n",
    "np.shape(z_cost)\n",
    "W1, W2 = np.meshgrid(w1s, w2s)\n",
    "CS = plt.contour(W1, W2, z_cost, 25)\n",
    "plt.clabel(CS, inline=1, fontsize=10)\n",
    "plt.title('Costs for various values of w1 and w2 for b=0')\n",
    "plt.xlabel(\"w1\")\n",
    "plt.ylabel(\"w2\")\n",
    "plt.plot([-0.33471389], [7.82205511], 'o') # this will be the minima that we'll find later\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exact Solution\n",
    "\n",
    "Work this out on the board:\n",
    "\n",
    "1. ignore biases (add an extra feature & weight instead)\n",
    "2. get equations from partial derivative\n",
    "3. vectorize\n",
    "4. write code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.31 ,  6.575,  1.   ],\n",
       "       [ 7.07 ,  6.421,  1.   ],\n",
       "       [ 7.07 ,  7.185,  1.   ],\n",
       "       ...,\n",
       "       [11.93 ,  6.976,  1.   ],\n",
       "       [11.93 ,  6.794,  1.   ],\n",
       "       [11.93 ,  6.03 ,  1.   ]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# add an extra feature (column in the input) that are just all ones\n",
    "x_in = np.concatenate([x_input, np.ones([np.shape(x_input)[0], 1])], axis=1)\n",
    "x_in"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_exactly(X, t):\n",
    "    '''\n",
    "    Solve linear regression exactly. (fully vectorized)\n",
    "    \n",
    "    Given `X` - NxD matrix of inputs\n",
    "          `t` - target outputs\n",
    "    Returns the optimal weights as a D-dimensional vector\n",
    "    '''\n",
    "    # TODO: write this!\n",
    "    N, D = np.shape(X)\n",
    "    A = np.matmul(X.T, X)\n",
    "    c = np.dot(X.T, t)\n",
    "    return np.matmul(np.linalg.inv(A), c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ -0.33471389,   7.82205511, -22.89831573])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solve_exactly(x_in, y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In practice, we use library code that is written for us."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/kk/8hxq9wzj401gpxvrv787r2600000gq/T/ipykernel_70170/3140637725.py:2: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n",
      "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n",
      "  np.linalg.lstsq(x_in, y_target)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(array([ -0.33471389,   7.82205511, -22.89831573]),\n",
       " array([19807.614505]),\n",
       " 3,\n",
       " array([318.75354429,  75.21961717,   2.10127199]))"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# In real life we don't want to code it directly\n",
    "np.linalg.lstsq(x_in, y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gradient Function and Gradient Descent\n",
    "\n",
    "Another approach to optimize the cost function is via gradient descent, which we will\n",
    "discuss in lecture 2.\n",
    "\n",
    "The main idea is that we compute the gradient of the cost function with respect to\n",
    "each parameter $w_j$, which will tell us how to update $w_j$ (by a small amount) to\n",
    "improve the cost function (by a small amount).\n",
    "\n",
    "In order to implement gradient descent, we need to be able to compute the *gradient*\n",
    "of the cost function with respect to a weight $w_j$:\n",
    "\n",
    "$$\\frac{\\partial \\mathcal{E}}{\\partial w_j} = \\frac{1}{N}\\sum_i x_j^{(i)}(y^{(i)}-t^{(i)})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Vectorized gradient function\n",
    "def gradfn(weights, X, t):\n",
    "    '''\n",
    "    Given `weights` - a current \"Guess\" of what our weights should be\n",
    "          `X` - matrix of shape (N,D) of input features\n",
    "          `t` - target y values\n",
    "    Return gradient of each weight evaluated at the current value\n",
    "    '''\n",
    "    # TODO: write this!\n",
    "    N, D = np.shape(X)\n",
    "    y_pred = np.matmul(X, weights)\n",
    "    error = y_pred - t\n",
    "    return np.matmul(np.transpose(x_in), error) / float(N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this function, we can solve the optimization problem by repeatedly\n",
    "applying gradient descent on $w$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_via_gradient_descent(X, t, print_every=5000,\n",
    "                               niter=100000, alpha=0.005):\n",
    "    '''\n",
    "    Given `X` - matrix of shape (N,D) of input features\n",
    "          `t` - target y values\n",
    "    Solves for linear regression weights.\n",
    "    Return weights after `niter` iterations.\n",
    "    '''\n",
    "    # TODO: write this!\n",
    "    N, D = np.shape(X)\n",
    "    # initialize all the weights to zeros\n",
    "    w = np.zeros([D])\n",
    "    for k in range(niter):\n",
    "        dw = gradfn(w, X, t)\n",
    "        w = w - alpha*dw\n",
    "        if k % print_every == 0:\n",
    "            print('Weight after %d iteration: %s' % (k, str(w)))\n",
    "    return w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weight after 0 iteration: [1.10241186 0.73047508 0.11266403]\n",
      "Weight after 5000 iteration: [-0.48304613  5.10076868 -3.97899253]\n",
      "Weight after 10000 iteration: [-0.45397323  5.63413678 -7.6871518 ]\n",
      "Weight after 15000 iteration: [ -0.43059857   6.06296553 -10.66851736]\n",
      "Weight after 20000 iteration: [ -0.41180532   6.40774447 -13.06553969]\n",
      "Weight after 25000 iteration: [ -0.39669551   6.68494726 -14.9927492 ]\n",
      "Weight after 30000 iteration: [ -0.38454721   6.90781871 -16.54222851]\n",
      "Weight after 35000 iteration: [ -0.37477995   7.08700769 -17.78801217]\n",
      "Weight after 40000 iteration: [ -0.36692706   7.23107589 -18.78962409]\n",
      "Weight after 45000 iteration: [ -0.36061333   7.34690694 -19.59492155]\n",
      "Weight after 50000 iteration: [ -0.35553708   7.44003528 -20.24238191]\n",
      "Weight after 55000 iteration: [ -0.35145576   7.5149106  -20.762941  ]\n",
      "Weight after 60000 iteration: [ -0.34817438   7.57511047 -21.18147127]\n",
      "Weight after 65000 iteration: [ -0.34553614   7.62351125 -21.51797024]\n",
      "Weight after 70000 iteration: [ -0.343415     7.66242555 -21.78851591]\n",
      "Weight after 75000 iteration: [ -0.34170959   7.69371271 -22.00603503]\n",
      "Weight after 80000 iteration: [ -0.34033844   7.71886763 -22.18092072]\n",
      "Weight after 85000 iteration: [ -0.33923604   7.73909222 -22.32152908]\n",
      "Weight after 90000 iteration: [ -0.3383497    7.75535283 -22.4345784 ]\n",
      "Weight after 95000 iteration: [ -0.33763709   7.76842638 -22.52547023]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([ -0.33706425,   7.77893565, -22.59853432])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solve_via_gradient_descent( X=x_in, t=y_target)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For comparison, this was the exact result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/kk/8hxq9wzj401gpxvrv787r2600000gq/T/ipykernel_70170/1328349989.py:1: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n",
      "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n",
      "  np.linalg.lstsq(x_in, y_target)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(array([ -0.33471389,   7.82205511, -22.89831573]),\n",
       " array([19807.614505]),\n",
       " 3,\n",
       " array([318.75354429,  75.21961717,   2.10127199]))"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linalg.lstsq(x_in, y_target)"
   ]
  }
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