{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recommended matplotlib backend is `Agg` for full skimage.viewer functionality.\n"
     ]
    }
   ],
   "source": [
    "import io\n",
    "from PIL import Image\n",
    "from skimage.viewer import CollectionViewer\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from ipywidgets import interact\n",
    "import ipywidgets as widgets\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Градиентный спуск \"сделай сам\"\n",
    "\n",
    "В данном задании вам предлагается реализовать и применить метод градиентного спуска для минимизации функции потерь в задаче линейной регресси на искусственных данных. \n",
    "\n",
    "Рассматривается одномерная задача регрессии, для решения которой будет использоваться линейная модель:\n",
    "\n",
    "$$\\hat y(x) = w_0 + w_1 x,$$ где $w_0$ и $w_1$ - параметры модели, которые требуется настроить для минимизации среднеквадратичной ошибке по выборке:\n",
    "\n",
    "$$\n",
    "    L(w_0, w_1) = \\frac{1}{N} \\sum\\limits_{i=1}^{N} (w_0 + w_1 x_i - y_i)^2 \\rightarrow \\min\\limits_{w_0, w_1}\n",
    "$$\n",
    "Для вычисления компонент вектора градиента $g = (g_0, g_1)$ функции $L$ можно использовать следующие формулы:\n",
    "\n",
    "$$\n",
    "    g_0 = \\frac{2}{N} \\sum\\limits_{i=1}^{N} (w_0 + w_1 x_i - y_i)      \n",
    "$$\n",
    "\n",
    "$$\n",
    "    g_1 = \\frac{2}{N} \\sum\\limits_{i=1}^{N} x_i (w_0 + w_1 x_i - y_i)      \n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Генерация искусственных данных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEUCAYAAADA7PqTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feacc6188d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(X):\n",
    "    lin_noise = np.random.normal(0.0, 1.0, size=X.shape[0])\n",
    "    const_noise = np.random.normal(0.0, 0.5, size=X.shape[0])\n",
    "                        \n",
    "    return -(2.3 + lin_noise) * X + 7 + const_noise\n",
    "\n",
    "N = 50\n",
    "X = np.hstack(np.random.uniform(-3, 3, size=N)[:, None])\n",
    "y = f(X)\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.scatter(X, y)\n",
    "plt.xlabel('x', fontsize=16)\n",
    "plt.ylabel('y', fontsize=16)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib qt\n",
    "def draw_surface(X, y, gap=10):\n",
    "    fig = plt.figure()\n",
    "    ax = fig.gca(projection='3d')\n",
    "    M = np.hstack([np.ones((X.shape[0], 1)), X[:, None]])\n",
    "    w = np.linalg.solve(np.dot(M.T, M), np.dot(M.T, y))\n",
    "    lim_0 = [w[0] - gap, w[0] + gap]\n",
    "    lim_1 = [w[1] - gap, w[1] + gap]\n",
    "    w0 = np.linspace(lim_0[0], lim_0[1], 40)\n",
    "    w1 = np.linspace(lim_1[0], lim_1[1], 40)\n",
    "    xv, yv = np.meshgrid(w0, w1)\n",
    "    loss = np.mean(np.square(xv[:, :, None] + \n",
    "                            yv[:, :, None] * X[None, None, :] - \n",
    "                            y[None, None, :]), axis=2)\n",
    "    \n",
    "    \n",
    "    \n",
    "    ax.plot_surface(xv, yv, loss, rstride=3, cstride=3, cmap='rainbow')    \n",
    "    ax.grid()\n",
    "    fig.show()\n",
    "    \n",
    "draw_surface(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Полезные функции для визуализации"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "def visualize_trace(X, y, trace, gap=10):\n",
    "    M = np.hstack([np.ones((X.shape[0], 1)), X[:, None]])\n",
    "    w = np.linalg.solve(np.dot(M.T, M), np.dot(M.T, y))\n",
    "    \n",
    "    lim_0 = [w[0] - gap, w[0] + gap]\n",
    "    lim_1 = [w[1] - gap, w[1] + gap]\n",
    "    w0 = np.linspace(lim_0[0], lim_0[1], 40)\n",
    "    w1 = np.linspace(lim_1[0], lim_1[1], 40)\n",
    "    xv, yv = np.meshgrid(w0, w1)\n",
    "    loss = np.mean(np.square(xv[:, :, None] + \n",
    "                            yv[:, :, None] * X[None, None, :] - \n",
    "                            y[None, None, :]), axis=2)\n",
    "    \n",
    "    fig, axes = plt.subplots(1, 2, figsize=(12, 6))\n",
    "    \n",
    "    lv = np.mean((trace[-1, 0] + trace[-1, 1] * X - y) ** 2)\n",
    "    plt.suptitle('Gradient descent plot. MSE = %.5f' % lv, fontsize=24)\n",
    "    \n",
    "    CP = axes[0].contour(xv, yv, loss, 30, cmap='rainbow')\n",
    "    axes[0].clabel(CP)\n",
    "   \n",
    "    axes[0].set_xlim(lim_0)\n",
    "    axes[0].set_ylim(lim_1)\n",
    "    axes[0].set_xlabel('w0', fontsize=16)\n",
    "    axes[0].set_ylabel('w1', fontsize=16)\n",
    "    #print(trace.shape)\n",
    "    axes[0].plot(trace[:, 0], trace[:, 1], 'b-o', linewidth=2)\n",
    "\n",
    "    \n",
    "    axes[0].scatter(w[0], w[1], s=50, marker='*', c='r', edgecolor='r')\n",
    "    \n",
    "\n",
    "    axes[1].scatter(X, y, s=30)\n",
    "    cx = np.linspace(-3.5, 3.5, 3)\n",
    "    axes[1].plot(cx, cx * w[1] + w[0], 'r--')\n",
    "    axes[1].plot(cx, cx * trace[-1, 1] + trace[-1, 0], 'k-')\n",
    "    axes[1].set_xlabel('x', fontsize=16)\n",
    "    axes[1].set_ylabel('y', fontsize=16)\n",
    "    d = np.max(y) - np.min(y)\n",
    "    axes[1].set_ylim([np.min(y) - 0.02 * d, np.max(y) + 0.02 * d])\n",
    "    \n",
    "    plt.show()\n",
    "\n",
    "def visualize_trace_step(X, y, trace, ind, gap=10):\n",
    "    return visualize_trace(X, y, np.reshape(trace[:ind], [ind, 2]), gap=gap)\n",
    "    \n",
    "def interactive_visualizer(X, y, trace, gap=10):    \n",
    "    return interact(lambda step: visualize_trace_step(X, y, trace, step, gap=gap), \n",
    "             step=widgets.IntSlider(min=1,max=trace.shape[0],step=1,value=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Задача №1.\n",
    "### Подзадача 1.1\n",
    "Реализуйте следующие функции:\n",
    "* calc_loss(X, y, w). X - вектор значений признака, y - вектор значений целевой переменной, w - np.array, с параметрами линейной модели. Функция возвращает значение MSE модели на выборке при заданном значении параметров w.\n",
    "* calc_gradient(X, y, w). X - вектор значений признака, y - вектор значений целевой переменной, w - np.array, с параметрами линейной модели. Функция возвращает градиент функции потерь при заданном значении параметров w.\n",
    "* calc_trace(X, y, w_init, alpha, steps). X - вектор значений признака, y - вектор значений целевой переменной, w - np.array, с начальными параметрами линейной модели, alpha - длина шага градиентого спуска,  steps - количество шагов. Функция возвращает последовательность точек $w_1, w_2, w_3, \\dots w_{steps}$, полученных при выполнении шагов градиентного спуска."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def calc_loss(X, y, w):\n",
    "    return 1.0\n",
    "\n",
    "def calc_gradient(X, y, w):\n",
    "    return np.array([1.0, 1.0])\n",
    "\n",
    "def calc_trace(X, y, w_init, alpha, steps=15):    \n",
    "    return np.array([[0, 0], [1, 1]])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Подзадача 1.2\n",
    "Проведите визуализацию работы реализованного метода, используя код, предоставленный ниже.\n",
    "Попробуйте запустить метод из разных начальных приближений и при различных значениях длины шага.\n",
    "\n",
    "Отнормируйте значения признака $X' = \\dfrac{X - \\mu}{\\sigma}$,  где $\\mu$ среднее значение признака, $\\sigma$ - стандартное отколнение. Проведите визуализацию работы метода на нормализованных данных. Что вы можете сказать о влиянии нормализации признаков на работу метода градиентного спуска."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtwAAAGhCAYAAABS/WPrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLBaLxWIZQv4/rIHLuqsVOiEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feace67ebe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X\n",
    "trace = calc_trace(X, y, np.array([11, 5]), 0.1, steps=15)\n",
    "interactive_visualizer(X, y, trace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Подзадача 1.3\n",
    "Найдите минимальное значение функции потерь. Для этого выполните не менее 200 шагов метода. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Подзадача 1.4\n",
    "Отобразите на графике изменение логарифма отклонения значения функции потерь на очередном шаге метода от оптимального значения при увеличении числа шагов. Постройте не менее трех графиков, используя различные длины шагов. Как выбор длины шага влияет на скорость сходимости метода?\n",
    "\n",
    "Добавьте к построенным графикам, аналогичные кривые, отображающие скорость сходимости метода при использовании нормализованных данных. Сравните скорость сходимости метода при использовании нормализации и без использования. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "widgets": {
   "state": {
    "0385ecd8dedd4b8db7c4c640ec5af402": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "083ba55e9a4a4e8e931aa28a4a27ea49": {
     "views": [
      {
       "cell_index": 10
      }
     ]
    },
    "5f3036cb119c4312a5a62e7495a537ba": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "b14310c3f4684f808e3a699b2788cac2": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "c169e4950e2448f18919b8b346424542": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "e2846a8322074d7cb737e84ff265504e": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "eb4c652aa0c74553a850e441e17c6271": {
     "views": [
      {
       "cell_index": 6
      }
     ]
    },
    "f7b1110ff70e4619a77e3812430e3a7e": {
     "views": [
      {
       "cell_index": 10
      }
     ]
    }
   },
   "version": "1.2.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
