analysis_local.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pomegranate import*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "from scipy.stats import kde"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hmm_helpers import build_hmm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sns.set(color_codes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "sample = \"sample_1\"\n",
    "ffile = \"results/11_5_2020/\"\n",
    "hmm_file = ffile + sample + \"/\" + \"HMM_Model_0.json\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Working with state:  GAP_STATE\n",
      "Working with state:  STATE_0\n",
      "Working with state:  STATE_1\n",
      "Working with state:  STATE_2\n",
      "Working with state:  STATE_3\n",
      "Working with state:  HMM_Model-start\n",
      "Working with state:  HMM_Model-end\n",
      "Orphan state HMM_Model-start removed due to no edges                             leading to it\n",
      "Orphan state HMM_Model-end removed due to no edges                             leading to it\n"
     ]
    }
   ],
   "source": [
    "# this is the model we trained\n",
    "hmm = build_hmm(hmm_file)\n",
    "\n",
    "# make sure that no updsates occur\n",
    "hmm.freeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1296 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the model we just trained\n",
    "plt.figure( figsize=(20,18) )\n",
    "hmm.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load the non wga means\n",
    "no_wga_wmeans =[]\n",
    "with open(ffile + sample + \"/no_wga_windows_mean.txt\") as file:\n",
    "    context = file.read()\n",
    "    size = len(context)\n",
    "    arraystr= context[1:size-1]\n",
    "    arraystr = arraystr.split(',')\n",
    "    no_wga_wmeans = [float(item) for item in arraystr]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load the wga means\n",
    "wga_wmeans =[]\n",
    "with open(ffile +sample + \"/wga_windows_mean.txt\") as file:\n",
    "    context = file.read()\n",
    "    size = len(context)\n",
    "    arraystr= context[1:size-1]\n",
    "    arraystr = arraystr.split(',')\n",
    "    wga_wmeans = [float(item) for item in arraystr]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize two \n",
    "nbins = 80\n",
    "min_ = 0.0\n",
    "max_ = 50.0\n",
    "\n",
    "plt.figure( figsize=(10,10) )\n",
    "plt.hist2d(no_wga_wmeans, wga_wmeans,\n",
    "                 bins=[nbins, nbins], cmap='Blues', density=False,\n",
    "                 cmax=1000,\n",
    "                 cmin=0,\n",
    "                 alpha=0.99,\n",
    "                 range=((min_, max_), (min_, max_)))\n",
    "plt.title = \"Hist 2D\"\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Evaluate a gaussian kde on a\n",
    "# regular grid of nbins x nbins over data extents\n",
    "kernel= kde.gaussian_kde(np.vstack([no_wga_wmeans, wga_wmeans]))\n",
    "xi, yi = np.mgrid[min_:max_:nbins*1j,\n",
    "                    min_:max_:nbins*1j]\n",
    "zi = kernel(np.vstack([xi.flatten(), yi.flatten()]))\n",
    "plt.title='Gaussian KDE'\n",
    "plt.pcolormesh(xi, yi, zi.reshape(xi.shape), cmap='Blues') #plt.cm.BuGn_r)\n",
    "plt.contour(xi, yi, zi.reshape(xi.shape) )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Viterbi path\n",
    "# create a sequence of window means\n",
    "sequence=[]\n",
    "for mu1, mu2 in zip(wga_wmeans, no_wga_wmeans):\n",
    "    sequence.append((mu1,mu2))\n",
    "\n",
    "viterbi_path=hmm.viterbi(sequence=sequence)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "IOPub data rate exceeded.\n",
      "The notebook server will temporarily stop sending output\n",
      "to the client in order to avoid crashing it.\n",
      "To change this limit, set the config variable\n",
      "`--NotebookApp.iopub_data_rate_limit`.\n",
      "\n",
      "Current values:\n",
      "NotebookApp.iopub_data_rate_limit=1000000.0 (bytes/sec)\n",
      "NotebookApp.rate_limit_window=3.0 (secs)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(viterbi_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(D|M):  -102135.87356154068\n",
      "[[1.00000001e+000 2.91372330e-234 1.48792681e-038 1.99025264e-015\n",
      "  0.00000000e+000]\n",
      " [5.36486245e-010 8.37189441e-244 2.10699522e-050 1.02419712e-027\n",
      "  1.00000001e+000]\n",
      " [2.97463391e-005 9.60463965e-246 4.43996414e-053 1.26107457e-022\n",
      "  9.99970261e-001]\n",
      " ...\n",
      " [9.01818538e-007 1.14768147e-244 5.94950044e-001 4.05049054e-001\n",
      "  1.17747399e-010]\n",
      " [1.72634640e-006 1.22335224e-244 6.77484180e-001 3.22514094e-001\n",
      "  1.20395894e-010]\n",
      " [1.09770085e-006 2.13052072e-244 7.67465337e-001 2.32533565e-001\n",
      "  1.59094283e-010]]\n"
     ]
    }
   ],
   "source": [
    "p_d_given_m = hmm.log_probability(sequence=sequence)\n",
    "print(\"P(D|M): \", p_d_given_m)\n",
    "print(hmm.predict_proba(sequence))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions = hmm.predict(sequence=sequence, algorithm=\"viterbi\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "print(predictions)"
   ]
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   "metadata": {},
   "outputs": [],
   "source": []
  }
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