BEA (Rahimi et al., 2019).

bea.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ff920139-4d6e-4530-a7f7-6b358a79b0d4",
   "metadata": {},
   "source": [
    "# Implementasi BEA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23cf0704-9a4d-4b96-a943-a91c9114438a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import HTML\n",
    "from matplotlib.animation import FuncAnimation\n",
    "from scipy.special import digamma\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_theme(style='whitegrid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cc980c81-8eb9-42d3-8ce4-fb28b00bb782",
   "metadata": {},
   "outputs": [],
   "source": [
    "rng = np.random.default_rng()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "577ea761-982f-4c7b-b3e0-8a36a856a2a0",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Aturan pembaruan"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fedb150-6603-456c-bb4c-1c6d9cd3a726",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{E}_q\\log\\pi_k\n",
    "=\\psi\\left(\\alpha_k+\\sum_iq(z_i=k)\\right)-\\psi\\left(\\sum_{k^\\prime}\\alpha_{k^\\prime}+N\\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "05f1db33-0afc-4983-85a9-5973c6854954",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_Eq_pi(q_z, alpha):\n",
    "    n_items, n_labels = q_z.shape\n",
    "    assert alpha.shape == (n_labels,)\n",
    "    return digamma(alpha + q_z.sum(axis=0)) - digamma(alpha.sum() + n_items)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a97bfee3-0cc0-47be-b497-6c68035f0f27",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbb{E}_q\\log V^{(j)}_{kl}\n",
    "=\\psi\\left(\\beta_{kl}+\\sum_iq(z_i=k)1[Y_{ij}=l]\\right)\n",
    "-\\psi\\left(\\sum_{l^\\prime}\\beta_{kl^\\prime}+\\sum_iq(z_i=k)\\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dc8c6fbd-f80f-4ac4-8149-4cf1d41c6b6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_Eq_V(Y, q_z, beta):\n",
    "    n_items, n_models = Y.shape\n",
    "    _, n_labels = q_z.shape\n",
    "    assert q_z.shape[0] == n_items\n",
    "    assert beta.shape == (n_labels, n_labels)\n",
    "\n",
    "    is_l = np.expand_dims(Y, axis=2) == np.arange(n_labels)\n",
    "    assert is_l.shape == (n_items, n_models, n_labels)\n",
    "    return (digamma(beta + np.where(np.expand_dims(is_l, 2), np.expand_dims(q_z, [1, 3]), 0).sum(axis=0))\n",
    "            - digamma(np.expand_dims(beta.sum(axis=1) + q_z.sum(axis=0), 1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e87e86d-68b2-4f8a-bb3e-4fa09546b73e",
   "metadata": {},
   "source": [
    "$$\n",
    "q(z_i)\n",
    "\\propto\\exp\\left\\lbrace\\mathbb{E}_q\\log\\pi_{z_i}+\\sum_j\\mathbb{E}_q\\log V^{(j)}_{z_i,Y_{ij}}\\right\\rbrace\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "07e2e687-970f-40ae-be40-cf280da0bcfe",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_q_z(Y, Eq_pi, Eq_V):\n",
    "    n_items, n_models = Y.shape\n",
    "    n_labels, = Eq_pi.shape\n",
    "    assert Eq_V.shape == (n_models, n_labels, n_labels)\n",
    "\n",
    "    q_z = np.exp(Eq_pi + Eq_V[np.arange(n_models), :, Y].sum(axis=1))\n",
    "    return q_z / q_z.sum(axis=1, keepdims=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "494b1a13-197c-47a9-abe2-1a8093698ef3",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Membangun data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f733679-c3f6-4dc4-887f-b39ee5fbb5d2",
   "metadata": {},
   "source": [
    "$$\n",
    "\\boldsymbol{\\alpha}=\\boldsymbol{\\beta}_k=\\mathbf{1}^\\top\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d84ec332-8600-4f17-9d45-582796030876",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_items, n_models, n_labels = 100, 20, 5\n",
    "alpha = np.ones(n_labels)\n",
    "beta = np.ones([n_labels, n_labels])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba280b67-a4de-4a10-85b9-f4cc8c56ca8c",
   "metadata": {},
   "source": [
    "$$\n",
    "\\pi\\sim\\mathrm{Dirichlet}(\\boldsymbol{\\alpha})\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2a1907cf-d98d-4340-86cc-0685e91bdfc7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.20613403, 0.50523371, 0.02361213, 0.05935627, 0.20566387])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pi = rng.dirichlet(alpha)\n",
    "pi"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ba6bb7e-f6f4-46a1-9393-4d02d87a6a67",
   "metadata": {},
   "source": [
    "$$\\mathbf{V}^{(j)}_k\\sim\\mathrm{Dirichlet}(\\boldsymbol{\\beta}_k)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0928d210-1f25-4bf7-8d71-ac710ede36cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.48173987, 0.26537845, 0.08481488, 0.05950146, 0.10856534],\n",
       "       [0.52182258, 0.08783821, 0.13527085, 0.13043761, 0.12463075],\n",
       "       [0.27151587, 0.05777367, 0.34210253, 0.32248357, 0.00612436],\n",
       "       [0.22177245, 0.15182358, 0.10622857, 0.15545147, 0.36472392],\n",
       "       [0.13290337, 0.08537156, 0.17240662, 0.52351981, 0.08579864]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V = np.empty([n_models, n_labels, n_labels])\n",
    "for k in range(n_labels):\n",
    "    V[:, k] = rng.dirichlet(beta[k], n_models)\n",
    "V[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8dd85690-9884-4b19-9ea6-49fb064b8d96",
   "metadata": {},
   "source": [
    "$$z_i\\sim\\mathrm{Categorical}(\\boldsymbol{\\pi})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f2a06c16-79e1-4c2f-bdd0-01e3a09c0946",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 4, 1, 3, 0, 2, 4, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 4, 1, 3, 3, 1,\n",
       "       4, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 0, 1, 4, 0, 1, 1, 1, 0,\n",
       "       1, 0, 1, 3, 4, 0, 4, 0, 2, 1, 4, 0, 1, 1, 1, 0, 1, 4, 1, 4, 3, 4,\n",
       "       3, 3, 4, 0, 1, 3, 1, 1, 1, 0, 1, 4, 4, 0, 1, 0, 1, 1, 0, 1, 1, 1,\n",
       "       4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 1])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z = rng.choice(n_labels, n_items, p=pi)\n",
    "z"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb07be2d-2b11-48cb-8309-3e54ec5fdfe0",
   "metadata": {},
   "source": [
    "$$Y_{ij}\\sim\\mathrm{Categorical}(\\mathbf{V}^{(j)}_{z_i})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ad6db7e3-525b-4c3a-8ecb-38835bf7d8f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 4, 2, 3, 2, 1, 1, 3, 1, 4, 3, 2, 2, 1, 4, 1, 1, 2, 4, 3],\n",
       "       [4, 4, 4, 2, 0, 4, 1, 2, 1, 3, 0, 3, 0, 3, 2, 4, 4, 4, 0, 4],\n",
       "       [2, 4, 4, 4, 1, 0, 2, 3, 1, 0, 2, 4, 0, 3, 4, 0, 1, 1, 4, 3],\n",
       "       [4, 3, 0, 3, 1, 3, 2, 2, 3, 0, 3, 2, 3, 0, 0, 4, 2, 2, 0, 0],\n",
       "       [1, 0, 4, 2, 0, 2, 0, 1, 2, 0, 3, 3, 2, 1, 1, 2, 3, 2, 4, 2],\n",
       "       [0, 2, 1, 3, 4, 3, 3, 3, 4, 2, 1, 1, 4, 4, 3, 1, 2, 0, 3, 4],\n",
       "       [4, 4, 1, 4, 0, 4, 1, 2, 0, 4, 1, 4, 4, 3, 3, 2, 0, 1, 4, 3],\n",
       "       [0, 4, 4, 0, 1, 1, 1, 2, 4, 2, 3, 0, 2, 0, 4, 3, 3, 1, 4, 3],\n",
       "       [0, 1, 4, 3, 3, 1, 2, 3, 0, 2, 3, 2, 0, 2, 0, 4, 1, 0, 3, 1],\n",
       "       [0, 1, 4, 3, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 4, 4, 1, 1, 3, 3]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y = np.empty([n_items, n_models], dtype=int)\n",
    "for i in range(n_items):\n",
    "    for j in range(n_models):\n",
    "        Y[i, j] = rng.choice(n_labels, p=V[j, z[i]])\n",
    "Y[:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45b24450-a1ae-4066-ad03-f41b76408511",
   "metadata": {},
   "source": [
    "## Menjalankan algoritma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1e277516-e578-46cd-b93f-bfa6f66adf57",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_mv_q_z(Y):\n",
    "    \"\"\"Menghitung q(z) berdasarkan majority voting (MV).\"\"\"\n",
    "    n_items = Y.shape[0]\n",
    "    n_labels = Y.max() + 1\n",
    "    cnt_z = np.empty([n_items, n_labels])\n",
    "    for i in range(n_items):\n",
    "        cnt_z[i] = np.bincount(Y[i], minlength=n_labels)\n",
    "    return cnt_z / cnt_z.sum(axis=1, keepdims=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "30e68f28-b347-4486-987f-b45a599bcf38",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Akurasi MV: 32.0%\n"
     ]
    }
   ],
   "source": [
    "q_z = get_mv_q_z(Y)\n",
    "z_mv = q_z.argmax(axis=1)\n",
    "acc = (z == z_mv).mean()\n",
    "print(f'Akurasi MV: {acc:.1%}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "c5f263ba-f797-424f-91b5-55fbd6dcbd86",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_cm(z_true, z_pred):\n",
    "    n_labels = z_true.max() + 1\n",
    "    cm = np.empty([n_labels, n_labels])\n",
    "    for k in range(n_labels):\n",
    "        cm[k] = np.bincount(z_pred[z_true == k], minlength=n_labels)\n",
    "    return cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "06615b1a-011e-49ad-8abc-32f39cb0d9e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.,  4.,  5.,  0.,  4.],\n",
       "       [16., 18.,  6.,  5.,  8.],\n",
       "       [ 0.,  0.,  0.,  1.,  1.],\n",
       "       [ 3.,  1.,  4.,  3.,  1.],\n",
       "       [ 2.,  2.,  4.,  1.,  7.]])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_cm(z, z_mv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c93910dd-ed82-4c5f-9c99-9119246004c1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iterasi 10/500\n",
      "Iterasi 20/500\n",
      "Sudah konvergen\n"
     ]
    }
   ],
   "source": [
    "cm_hist = [(0, get_cm(z, z_mv))]\n",
    "for it in range(500):\n",
    "    if (it + 1) % 10 == 0:\n",
    "        print(f'Iterasi {it+1}/500')\n",
    "    old_q_z = q_z\n",
    "    q_z = get_q_z(Y, get_Eq_pi(q_z, alpha), get_Eq_V(Y, q_z, beta))\n",
    "    if it < 5 or (it + 1) % 5 == 0:\n",
    "        z_bea = q_z.argmax(axis=1)\n",
    "        cm_hist.append((it + 1, get_cm(z, z_bea)))\n",
    "    if np.allclose(old_q_z, q_z):\n",
    "        print('Sudah konvergen')\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "9516a39c-dc90-4566-95c0-bd722772fa9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Akurasi BEA: 71.0%\n"
     ]
    }
   ],
   "source": [
    "acc = (z == z_bea).mean()\n",
    "print(f'Akurasi BEA: {acc:.1%}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49a9ea63-1828-43e0-82b5-37b1855272b6",
   "metadata": {},
   "source": [
    "## Menampilkan perubahan confusion matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "202f1c6d-b4cf-46d7-bbb3-4d9909654c9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img8f78fee4c2ed472a8a4d1a9494cb33bc\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider8f78fee4c2ed472a8a4d1a9494cb33bc\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"anim8f78fee4c2ed472a8a4d1a9494cb33bc.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select8f78fee4c2ed472a8a4d1a9494cb33bc\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_8f78fee4c2ed472a8a4d1a9494cb33bc\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_8f78fee4c2ed472a8a4d1a9494cb33bc\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_8f78fee4c2ed472a8a4d1a9494cb33bc\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_8f78fee4c2ed472a8a4d1a9494cb33bc\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_8f78fee4c2ed472a8a4d1a9494cb33bc\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_8f78fee4c2ed472a8a4d1a9494cb33bc\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img8f78fee4c2ed472a8a4d1a9494cb33bc\";\n",
       "    var slider_id = \"_anim_slider8f78fee4c2ed472a8a4d1a9494cb33bc\";\n",
       "    var loop_select_id = \"_anim_loop_select8f78fee4c2ed472a8a4d1a9494cb33bc\";\n",
       "    var frames = new Array(9);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "0m8GWA9vowcA2BJLiAAAWyLAAAC2RIABAGzp/wE3VPFQuOOAAgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim8f78fee4c2ed472a8a4d1a9494cb33bc = new Animation(frames, img_id, slider_id, 599.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "cbar_ax = fig.add_axes([.91, .3, .03, .4])\n",
    "ticklabels = np.arange(n_labels) + 1\n",
    "\n",
    "def draw_heatmap(args):\n",
    "    it, cm = args\n",
    "    sns.heatmap(\n",
    "        cm / cm.sum(axis=1, keepdims=True), vmin=0, vmax=1, cbar=False, xticklabels=ticklabels,\n",
    "        yticklabels=ticklabels, ax=ax)\n",
    "    ax.set_title(f'Iterasi {it}')\n",
    "    ax.set_xlabel('Prediksi')\n",
    "    ax.set_ylabel('Asli')\n",
    "\n",
    "def init_heatmap():\n",
    "    cm = cm_hist[0][1]\n",
    "    sns.heatmap(\n",
    "        cm / cm.sum(axis=1, keepdims=True), vmin=0, vmax=1, xticklabels=ticklabels,\n",
    "        yticklabels=ticklabels, ax=ax, cbar_ax=cbar_ax)\n",
    "\n",
    "anim = FuncAnimation(fig, draw_heatmap, cm_hist, init_heatmap, interval=600)\n",
    "plt.close()\n",
    "HTML(anim.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "15ee127c-1074-4dcd-8a18-a38f025dd3af",
   "metadata": {},
   "outputs": [],
   "source": [
    "anim.save('../content/images/bea-cm.gif', writer='imagemagick')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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