persistence_one_record.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2023-06-14T01:30:29.381321631Z",
     "start_time": "2023-06-14T01:30:29.335354652Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import wfdb\n",
    "import gudhi\n",
    "\n",
    "import gudhi.representations.vector_methods as grvm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [],
   "source": [
    "record = wfdb.rdrecord(record_name='data_processed/mitdb/111_processed', sampfrom=2000 ,sampto=3000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-14T01:30:29.909047500Z",
     "start_time": "2023-06-14T01:30:29.891309772Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wfdb.plot_wfdb(record=record, title='Record 420 from vfdb', ecg_grids='all')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-14T01:30:31.248733725Z",
     "start_time": "2023-06-14T01:30:30.541931174Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [],
   "source": [
    "ecg_data = record.p_signal"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:47.167583395Z",
     "start_time": "2023-06-13T16:03:47.160152192Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'>\n",
      "<class 'numpy.ndarray'>\n",
      "<class 'numpy.float64'>\n"
     ]
    }
   ],
   "source": [
    "print(type(ecg_data))\n",
    "print(type(ecg_data[1]))\n",
    "print(type(ecg_data[1][0]))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:47.540637878Z",
     "start_time": "2023-06-13T16:03:47.527331757Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [],
   "source": [
    "data = ecg_data[:, 0]\n",
    "time = np.linspace(0, 1, len(data))\n",
    "point_cloud = np.column_stack([time, data])"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:48.314313129Z",
     "start_time": "2023-06-13T16:03:48.305041883Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [
    {
     "data": {
      "text/plain": "array([[ 0.      , -0.25    ],\n       [ 0.001001, -0.22    ],\n       [ 0.002002, -0.21    ],\n       ...,\n       [ 0.997998, -0.265   ],\n       [ 0.998999, -0.25    ],\n       [ 1.      , -0.25    ]])"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "point_cloud"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:49.419898882Z",
     "start_time": "2023-06-13T16:03:49.414507101Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [],
   "source": [
    "point_cloud2 = [data[i:i+3] for i in range(len(data)-2)]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:50.033084451Z",
     "start_time": "2023-06-13T16:03:50.030476509Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "data": {
      "text/plain": "[array([-0.25, -0.22, -0.21]),\n array([-0.22, -0.21, -0.22]),\n array([-0.21 , -0.22 , -0.225]),\n array([-0.22 , -0.225, -0.23 ]),\n array([-0.225, -0.23 , -0.235]),\n array([-0.23 , -0.235, -0.22 ]),\n array([-0.235, -0.22 , -0.21 ]),\n array([-0.22, -0.21, -0.22]),\n array([-0.21 , -0.22 , -0.225]),\n array([-0.22 , -0.225, -0.25 ]),\n array([-0.225, -0.25 , -0.23 ]),\n array([-0.25, -0.23, -0.21]),\n array([-0.23 , -0.21 , -0.195]),\n array([-0.21 , -0.195, -0.21 ]),\n array([-0.195, -0.21 , -0.195]),\n array([-0.21 , -0.195, -0.185]),\n array([-0.195, -0.185, -0.165]),\n array([-0.185, -0.165, -0.125]),\n array([-0.165, -0.125, -0.1  ]),\n array([-0.125, -0.1  , -0.06 ]),\n array([-0.1  , -0.06 , -0.005]),\n array([-0.06 , -0.005,  0.07 ]),\n array([-0.005,  0.07 ,  0.16 ]),\n array([0.07 , 0.16 , 0.215]),\n array([0.16 , 0.215, 0.25 ]),\n array([0.215, 0.25 , 0.25 ]),\n array([0.25, 0.25, 0.19]),\n array([0.25 , 0.19 , 0.115]),\n array([0.19 , 0.115, 0.07 ]),\n array([0.115, 0.07 , 0.06 ]),\n array([0.07, 0.06, 0.1 ]),\n array([0.06 , 0.1  , 0.175]),\n array([0.1  , 0.175, 0.3  ]),\n array([0.175, 0.3  , 0.43 ]),\n array([0.3  , 0.43 , 0.585]),\n array([0.43 , 0.585, 0.73 ]),\n array([0.585, 0.73 , 0.83 ]),\n array([0.73 , 0.83 , 0.865]),\n array([0.83 , 0.865, 0.835]),\n array([0.865, 0.835, 0.715]),\n array([0.835, 0.715, 0.62 ]),\n array([0.715, 0.62 , 0.525]),\n array([0.62 , 0.525, 0.43 ]),\n array([0.525, 0.43 , 0.315]),\n array([0.43 , 0.315, 0.18 ]),\n array([0.315, 0.18 , 0.025]),\n array([ 0.18 ,  0.025, -0.13 ]),\n array([ 0.025, -0.13 , -0.245]),\n array([-0.13 , -0.245, -0.335]),\n array([-0.245, -0.335, -0.42 ]),\n array([-0.335, -0.42 , -0.48 ]),\n array([-0.42, -0.48, -0.51]),\n array([-0.48, -0.51, -0.5 ]),\n array([-0.51, -0.5 , -0.45]),\n array([-0.5 , -0.45, -0.39]),\n array([-0.45 , -0.39 , -0.355]),\n array([-0.39 , -0.355, -0.34 ]),\n array([-0.355, -0.34 , -0.34 ]),\n array([-0.34, -0.34, -0.3 ]),\n array([-0.34, -0.3 , -0.3 ]),\n array([-0.3 , -0.3 , -0.28]),\n array([-0.3  , -0.28 , -0.295]),\n array([-0.28 , -0.295, -0.31 ]),\n array([-0.295, -0.31 , -0.33 ]),\n array([-0.31 , -0.33 , -0.295]),\n array([-0.33 , -0.295, -0.305]),\n array([-0.295, -0.305, -0.29 ]),\n array([-0.305, -0.29 , -0.29 ]),\n array([-0.29, -0.29, -0.29]),\n array([-0.29 , -0.29 , -0.305]),\n array([-0.29 , -0.305, -0.285]),\n array([-0.305, -0.285, -0.275]),\n array([-0.285, -0.275, -0.255]),\n array([-0.275, -0.255, -0.265]),\n array([-0.255, -0.265, -0.28 ]),\n array([-0.265, -0.28 , -0.285]),\n array([-0.28 , -0.285, -0.275]),\n array([-0.285, -0.275, -0.27 ]),\n array([-0.275, -0.27 , -0.255]),\n array([-0.27 , -0.255, -0.26 ]),\n array([-0.255, -0.26 , -0.27 ]),\n array([-0.26 , -0.27 , -0.275]),\n array([-0.27 , -0.275, -0.27 ]),\n array([-0.275, -0.27 , -0.255]),\n array([-0.27 , -0.255, -0.235]),\n array([-0.255, -0.235, -0.245]),\n array([-0.235, -0.245, -0.26 ]),\n array([-0.245, -0.26 , -0.245]),\n 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array([-0.26, -0.26, -0.26]),\n array([-0.26 , -0.26 , -0.285]),\n array([-0.26 , -0.285, -0.28 ]),\n array([-0.285, -0.28 , -0.265]),\n array([-0.28 , -0.265, -0.25 ]),\n array([-0.265, -0.25 , -0.25 ])]"
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "point_cloud2"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:03:51.507907915Z",
     "start_time": "2023-06-13T16:03:51.380377678Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [],
   "source": [
    "# rips_complex = gudhi.RipsComplex(points=ecg_data)\n",
    "# simplex_tree = rips_complex.create_simplex_tree(max_dimension=1)\n",
    "\n",
    "rips_complex = gudhi.RipsComplex(points=point_cloud2)\n",
    "simplex_tree = rips_complex.create_simplex_tree(max_dimension=2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:04:00.486344585Z",
     "start_time": "2023-06-13T16:03:53.170353688Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [],
   "source": [
    "persistence = simplex_tree.persistence()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:06:46.608953883Z",
     "start_time": "2023-06-13T16:04:30.756865039Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "print(persistence)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:35:46.086280065Z",
     "start_time": "2023-06-13T02:35:45.976549078Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [
    {
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     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplex_tree.persistence_intervals_in_dimension(1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:39:30.740978223Z",
     "start_time": "2023-06-13T02:39:30.690548991Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "outputs": [
    {
     "data": {
      "text/plain": "<Axes: title={'center': 'Persistence diagram'}, xlabel='Birth', ylabel='Death'>"
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gudhi.plot_persistence_diagram(simplex_tree.persistence_intervals_in_dimension(1))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:08:52.871221872Z",
     "start_time": "2023-06-13T16:08:52.654896855Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "usetex mode requires TeX.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Axes: title={'center': 'Persistence diagram'}, xlabel='Birth', ylabel='Death'>"
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gudhi.plot_persistence_diagram(persistence)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T16:07:41.883792714Z",
     "start_time": "2023-06-13T16:07:39.559710813Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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Tpk3TAwcOeI7Ztm2b52E1DRs21EGDBumkSZN0+PDhniWYPXv2tJzXvbSwuLp9+eWXVUQ0NTW1yL4nn3xSHQ6H58FO48eP15EjR3oeumP30KHSls+bgg8dqlevnsbFxenYsWN1xIgRnucj9O7d2/L8AVXVN954w1PuDh066IQJE3TQoEFaq1YtHTRokPbp08f2Oijp+lC9+hwL9/UQHh6uQ4YM0YkTJ2r//v1tHzp06tQp7dSpk+fnfvvtt+uYMWO0QYMGXh86tHbtWs9Dhzp06OB5D4fDoQ8//LDXhw65l4XWqVNH+/TpoxMmTNA777xTO3fu7DlnaZZiAsUhDKBClSUMqKpmZWXpww8/rO3bt9c6deqo0+nUxMREHThwoKanp+uhQ4csx5d0s8/Oztb09HS99dZbtUWLFhoeHq6RkZF6ww036AMPPGBpmL2d89ChQ7p48WIdPHiwNmvWTJ1Op8bExGjHjh11wYIFeuTIkSLnyc/P1yVLlmi7du0sD5UpXNYTJ07ookWLtGvXrhoREaGhoaHapEkT7dOnj6alpennn39uOb48YUBVNTMzUydOnKiNGzfWWrVqab169bRTp046b968Ig9gKkv5vHGHgbS0NP3666914sSJ2qhRIw0NDdVWrVrp448/rmfPnrV97ccff6yDBw/W2NhYDQ8P1/bt2+uTTz6pFy9eLPY68CUMqF59YNBTTz2lPXr00IiICA0LC9PExEQdOXKkrlu3rsjxZ8+e1SVLlmjnzp01PDxcnU6ntm3bVn/1q1/pDz/8UOz7bN++XYcOHaqRkZEaHh6uXbp00T/96U+qqsWGAVXVCxcu6Isvvqg333yz1q9fX2vWrKkNGzbUzp076wMPPKDvvfee188H+MqhyoAUAAAmY84AAACGIwwAAGA4wgAAAIYjDAAAYDjCAAAAhiMMAABgOJ++m8DlcsmxY8ckIiLC9qtTAQBA1aOqkpeXJwkJCV6/5MynMHDs2DGfvmIWAABUPUeOHLF8CVhhPoWBiIgIz8nc35kOAACqttzcXGnatKmnHS+OT2HAPTQQGRlJGAAAoJopaYifCYQAABiOMAAAgOEIAwAAGI4wAACA4QgDAAAYjjAAAIDhCAMAABiOMAAAgOEIAwAAGI4wAACA4QgDAAAYjjAAAIDhCAMAABjOp28trC5Oz1vg+XvM0vQAlgQAgOojqMIAAQAAgNILqjBAzwAAAKXHnAEAAAxHGAAAwHCEAQAADEcYAADAcEE1gZBJgwAAlF5QhQFWEwAAUHoMEwAAYDjCAAAAhiMMAABgOMIAAACGC6oJhEwaBACg9IIqDLCaAACA0mOYAAAAwwVVz0DB3gB3LwE9BAAAeEfPAAAAhguqnoGC6BEAAMA39AwAAGA4wgAAAIYjDAAAYDjCAAAAhiMMAABguKANA6fnLbA8kRAAANhjaSEAAIYL2p4BAADgG8IAAACGC9owwJwBAAB8E7RhAAAA+IYwAACA4QgDAAAYjqWFAAAYLmh7BphACACAb4I2DLgRCgAA8C7owwAAAPCOMAAAgOEIAwAAGI7VBAAAGC5ow0DhSYOEAwAA7DFMAACA4QgDAAAYjjAAAIDhCAMAABguaCcQMmEQAADfBG0YYDUBAAC+YZgAAADDEQYAADAcYQAAAMMRBgAAMFzQTiBkwiAAAL4J2jDAagIAAHxjzDDB6XkLigQEAABgUBgAAAD2CAMAABjOuDDAUAEAAFZBO4GQCYMAAPjGuJ4BAABgFbQ9A6UZDqAXAQBgsqANA+4G3h0KaPABALDHMAEAAIYjDAAAYDjCAAAAhgvaOQNuzBUAAMC7oO8Z4DsJAADwLujDAAAA8M6YMEAPAQAA9owJAwAAwB5hAAAAw7GaAAAAwwV9GLCbJ0BAAADgmqAPA24EAAAA7DFnAAAAwxEGAAAwHGEAAADDBf2cAeYKAADgXdD3DPDkQQAAvAv6MOBGKAAAwJ4xYQAAANgjDAAAYDjCAAAAhmM1AQAAhgv6MMB3EwAA4B3DBAAAGI4wAACA4YI+DMQsTbcMCzBEAACAVdCHAQAA4F3QTyB0o0cAAAB79AwAAGA4Y3oGCi4xpJcAAIBr6BkAAMBwhAEAAAxHGAAAwHBGhoHT8xbYPqYYAAATGTOBkEmDAADYMyYM8IVFAADYMyYMuBEAAACwMnLOAAAAuIYwAACA4QgDAAAYzpg5A8wVAADAnjE9AzxbAAAAe8aEAQAAYI8wAACA4QgDAAAYjjAAAIDhWE0AAIDhjOkZYDUBAAD2jAkDAADAHmEAAADDGRcGGCoAAMDKuDAAAACsWE0AAIDhjAkDdsMDBAQAAAwKA3YKBgSCAQDAVMaEAXdjf3reAhp+AAAKYAIhAACGMy4M0CsAAICVcWEAAABYEQYAADCccWGAJxACAGBlXBgAAABWhAEAAAxHGAAAwHCEAQAADGdcGOA5AwAAWBkXBlhNAACAlXFhAAAAWBEGAAAwnDHfWliQ3VABcwkAAKaiZwAAAMMZ1zNADwAAAFb0DAAAYDjCAAAAhiMMAABgOOPCAA8dAgDAyrgwAAAArIwLA6wmAADAyrgwwDABAABWxoUBAABgRRgAAMBwhAEAAAxn3OOIRYrOG2BSIQDAZMaFARp+AACsjBsmYDUBAABWxoUBAABgRRgAAMBwhAEAAAxHGAAAwHDGhQFWEwAAYGVcGAAAAFbGhQGWFgIAYGVcGAAAAFaEAQAADEcYAADAcIQBAAAMZ1wYYGkhAABWxoUBVhMAAGBlXBgAAABWhAEAAAxHGAAAwHCEAQAADGdcGGA1AQAAVsaFAVYTAABgZVwYAAAAVoQBAAAMRxgAAMBwhAEAAAxnXBhgNQEAAFbGhQFWEwAAYGVcGAAAAFaEAQAADEcYAADAcIQBAAAMZ1wYYDUBAABWxoUBVhMAAGBlXBgAAABWhAEAAAxHGAAAwHCEAQAADGdcGGA1AQAAVsaFAQAAYGVcGGBpIQAAVsaFAQAAYGVkGDg9bwE9BAAA/MzIMAAAAK4hDAAAYLiagS5AZWNpIQAAVsaFAbu5AgQEAIDJGCYQlhsCAMxGGAAAwHDGDRMUp2DvAMMGAACT0DMAAIDhjOsZ4Ld+AACsjAsDpZ0sSHgAAAQ748JAzNJ0TyCgoQcAwPA5A3xHAQAABvYMiNAjAABAQUb3DAAAAMIAAADGM3KYoPA8AYYNAAAmo2cAAADDEQaELyoCAJjNyGEChgUAALiGngEAAAxHGAAAwHCEAQAADEcYAADAcIQBAAAMZ+RqArulhKwwAACYysgw4EYAAADA0DBACAAA4BrmDAAAYDgjewb4oiIAAK6hZ0D4bgIAgNkIAwAAGI4w8LPT8xbQQwAAMJKRcwa84RkEAADTGBkGaNwBALjGyDDgVtywAGEBAGASo8MAjT4AAIZPIGTSIAAAhocBAABAGAAAwHjMGQAAwHBG9wwwZwAAAMPDAAAAIAwAAGA8woDwrYUAALMRBgAAMByrCQAAMBw9AwAAGI4wIMwZAACYjTAAAIDhCAPC3AEAgNkIAwAAGI4wAACA4QgDAAAYjjAgrCYAAJiNMCBMIAQAmI0wIHyVMQDAbISBAggFAAATGf3dBG4MEwAATEbPAAAAhiMMCKsJAABmIwwAAGA45gz8zJfeAeYWAACCEWFAaOQBAGZjmOBnzBsAAJiKMPAzegcAAKYiDAAAYDjCwM8YJgAAmIow8LOYpekEAgCAkVhNUEhFBQLmIAAAqgvCQAHu3gEacgCASRgmKIQgAAAwDT0DNoobKiAoAACCEWHABo0+AMAkhAEbBXsGCAYAgGDHnAEAAAxHGAAAwHAME9hgaAAAYBLCgA3mDAAATMIwQQlOz1vAY4oBAEHNoapa0kG5ubkSFRUlZ86ckcjIyMooV5VRniBArwIAIJB8bb8ZJvARDTsAIFgxTFACQgAAINgRBnxAIAAABDPCgA+YRAgACGaEAR/ROwAACFaEAR/ROwAACFaEAR+4ewXoHQAABCOWFpYCTyYEAAQjwoCPaPwBAMGKYQIAAAxHz0Ap2E0gpMcAAFDdEQZKicYfABBsGCYohZil6SwxBAAEHcJAKdEzAAAINoQBAAAMRxgoA3oHAADBhDBQRswbAAAEC8JAORAIAADBgDBQDgwXAACCAc8ZKAdfegYIDACAqo4wUEbuZw7Q2AMAqjuGCcqBIAAACAb0DJSDrxMICQ0AgKqMnoFyKKmRj1maThAAAFR59AyUU8HG3t1TQAAAAFQnhAE/KDx8QDgAAFRlDBNUIBp9AEB1RM9ABSMQAACqG8KAH1XG44oJHwCA8iIMVHOlDRyEBwBAYYQBP/LW8Pqj14CGHgBQFoSBAHE33GUJBTT6AICKRBgIMF9CAY0/AMCfCANVBA0+ACBQCANVBHMIAACBQhioItxfiez+OwAAlYUwUIXYhYDy9hgQLAAAJXGoqpZ0UG5urkRFRcmZM2ckMjKyMsqFAipqCIFgAABm8bX9pmegGqARBwD4E19UBACA4QgDAAAYjjBQzZ2et6BSvhAJABC8mDNQzZXnscbezgcAMAdhIEjQiAMAyoowEGQqc8iAAAIAwYEwAFs09ABgDsJAkKERBwCUFmEgyFXWsAEhBACqLx5HbIBALD0kHABA4PE4YngUbphLGw5o2AEguBEGDMTXJQMACuIJhAAAGI6eAUPRIwAAcCMMGKw0cwcIDwAQvAgDBrObWEijDwDmYc4APAoGAb4NEQDMQc8AbBX+NkR6DAAgeBEG4JOq0EtAIAEA/yAMwCsaYAAIfoQB+ISVBwAQvPhuAlSIyhxGIGwAgG98bb8JA6gWqsKcheIQTgBUVXxREYKKtwa3rEGBRhwAriIMwFgV2dtAsABQnREGUO3REANA+RAGEDRK+k2f0AAA9ggDCBoV0dgXFygIEgCCGWEAKKCkRt9b7wOBAUB1xdJCoBzswgGhAEBVwdJCoBJURsNflZ+xAJguWMI/YQCo4oLlZgOg6goJdAEAAEBgEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMFxNXw5SVRERyc3N9WthAABAxXG32+52vDg+hYG8vDwREWnatGk5iwUAACpbXl6eREVFFbvfoSXFBRFxuVxy7NgxiYiIEIfDUaEFLK3c3Fxp2rSpHDlyRCIjIwNalkCiHq6iHq6iHq6iHq6hLq4yvR5UVfLy8iQhIUFCQoqfGeBTz0BISIg0adKkwgpXESIjI438wRZGPVxFPVxFPVxFPVxDXVxlcj146xFwYwIhAACGIwwAAGC4ahcGwsLCJC0tTcLCwgJdlICiHq6iHq6iHq6iHq6hLq6iHnzj0wRCAAAQvKpdzwAAAKhYhAEAAAxHGAAAwHCEAQAADEcYAADAcAEPAytWrJDmzZuL0+mUnj17ys6dO70e//rrr0tSUpI4nU7p0KGDbNq0ybJfVeXxxx+X+Ph4qV27tiQnJ8vBgwf9+REqREXXw5QpU8ThcFj+DBs2zJ8focKUpi727t0ro0ePlubNm4vD4ZDnnnuu3OesKiq6HhYvXlzkmkhKSvLjJ6gYpamHl156Sfr16ycxMTESExMjycnJRY434R7hSz1U13tEaerhzTfflO7du0t0dLTUqVNHOnfuLH/5y18sx1TX66HCaQCtW7dOQ0NDdeXKlbp3716dPn26RkdH64kTJ2yP37Fjh9aoUUOXLl2q+/bt04ULF2qtWrX0iy++8ByTnp6uUVFR+tZbb+mePXt05MiR2qJFCz1//nxlfaxS80c9pKam6rBhwzQ7O9vz54cffqisj1Rmpa2LnTt36pw5c3Tt2rUaFxenzz77bLnPWRX4ox7S0tK0Xbt2lmvi5MmTfv4k5VPaerjrrrt0xYoVumvXLt2/f79OmTJFo6Ki9OjRo55jTLhH+FIP1fEeUdp6+Oijj/TNN9/Uffv26aFDh/S5557TGjVq6ObNmz3HVMfrwR8CGgZuvPFGfeCBBzz/n5+frwkJCbpkyRLb48eNG6e33XabZVvPnj11xowZqqrqcrk0Li5On376ac/+H3/8UcPCwnTt2rV++AQVo6LrQfXqP/RRo0b5pbz+VNq6KCgxMdG2ESzPOQPFH/WQlpamnTp1qsBS+l95f3ZXrlzRiIgIXb16taqac48orHA9qFbPe0RF/Fvu0qWLLly4UFWr7/XgDwEbJrh06ZJ89tlnkpyc7NkWEhIiycnJkpmZafuazMxMy/EiIkOHDvUcn5WVJcePH7ccExUVJT179iz2nIHmj3pw27p1qzRs2FDatGkj999/v+Tk5FT8B6hAZamLQJzT3/xZ5oMHD0pCQoJcd911MmnSJPn222/LW1y/qYh6OHfunFy+fFnq1asnIubcIworXA9u1ekeUd56UFXZsmWLfPnll9K/f38RqZ7Xg78ELAycOnVK8vPzpVGjRpbtjRo1kuPHj9u+5vjx416Pd/+3NOcMNH/Ug4jIsGHDZM2aNbJlyxZ56qmnZNu2bZKSkiL5+fkV/yEqSFnqIhDn9Dd/lblnz56yatUq2bx5s/zxj3+UrKws6devn+Tl5ZW3yH5REfUwf/58SUhI8NzsTblHFFa4HkSq3z2irPVw5swZqVu3roSGhsptt90mzz//vNxyyy0iUj2vB3/x6SuMUf1MmDDB8/cOHTpIx44dpWXLlrJ161YZPHhwAEuGQElJSfH8vWPHjtKzZ09JTEyUjIwMmTZtWgBL5h/p6emybt062bp1qzidzkAXJ2CKqwdT7hERERGye/du+emnn2TLli3yyCOPyHXXXScDBw4MdNGqlID1DMTGxkqNGjXkxIkTlu0nTpyQuLg429fExcV5Pd7939KcM9D8UQ92rrvuOomNjZVDhw6Vv9B+Upa6CMQ5/a2yyhwdHS2tW7eustdEeeph2bJlkp6eLu+//7507NjRs92Ue4RbcfVgp6rfI8paDyEhIdKqVSvp3LmzzJ49W8aMGSNLliwRkep5PfhLwMJAaGiodOvWTbZs2eLZ5nK5ZMuWLdK7d2/b1/Tu3dtyvIjIBx984Dm+RYsWEhcXZzkmNzdX/vWvfxV7zkDzRz3YOXr0qOTk5Eh8fHzFFNwPylIXgTinv1VWmX/66Sf56quvquw1UdZ6WLp0qfzmN7+RzZs3S/fu3S37TLlHiHivBztV/R5RUf8uXC6XXLx4UUSq5/XgN4Gcvbhu3ToNCwvTVatW6b59+/Tee+/V6OhoPX78uKqqTp48WRcsWOA5fseOHVqzZk1dtmyZ7t+/X9PS0myXFkZHR+uGDRv0888/11GjRlX5ZSIVXQ95eXk6Z84czczM1KysLP3www+1a9euev311+uFCxcC8hl9Vdq6uHjxou7atUt37dql8fHxOmfOHN21a5cePHjQ53NWRf6oh9mzZ+vWrVs1KytLd+zYocnJyRobG6vff/99pX8+X5W2HtLT0zU0NFT/9re/WZbM5eXlWY4J9ntESfVQXe8Rpa2H3/3ud/r+++/rV199pfv27dNly5ZpzZo19aWXXvIcUx2vB38IaBhQVX3++ee1WbNmGhoaqjfeeKP+85//9OwbMGCApqamWo7PyMjQ1q1ba2hoqLZr1043btxo2e9yuXTRokXaqFEjDQsL08GDB+uXX35ZGR+lXCqyHs6dO6dDhgzRBg0aaK1atTQxMVGnT59epRu/gkpTF1lZWSoiRf4MGDDA53NWVRVdD+PHj9f4+HgNDQ3Vxo0b6/jx4/XQoUOV+InKpjT1kJiYaFsPaWlpnmNMuEeUVA/V+R5Rmnp47LHHtFWrVup0OjUmJkZ79+6t69ats5yvul4PFc2hqlq5fREAAKAqCfjjiAEAQGARBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADD/R/hdEC4gfCetwAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "barcode = gudhi.plot_persistence_barcode(simplex_tree.persistence_intervals_in_dimension(1))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:47:43.012420959Z",
     "start_time": "2023-06-13T02:47:42.515842730Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "outputs": [],
   "source": [
    "lives = [p[1] for p in persistence]\n",
    "births = [b for (b, d) in lives]\n",
    "deaths = [d for (b, d) in lives]\n",
    "lives = np.column_stack((births, deaths))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:13:15.300654922Z",
     "start_time": "2023-06-13T02:13:15.297395722Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [],
   "source": [
    "betti_curve_maker = grvm.BettiCurve(sample_range=[0.0, 1.0], resolution=100)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:47:54.909238495Z",
     "start_time": "2023-06-13T02:47:54.682746338Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [],
   "source": [
    "betti_curve = betti_curve_maker(simplex_tree.persistence_intervals_in_dimension(1))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:47:54.994048373Z",
     "start_time": "2023-06-13T02:47:54.901394640Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "data": {
      "text/plain": "array([ 0, 42, 10,  8,  6,  6,  5,  6,  2,  2,  3,  2,  3,  0,  0,  1,  1,\n        1,  1,  1,  1,  1,  1,  1,  1,  2,  2,  1,  1,  1,  1,  1,  0,  0,\n        0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,\n        0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,\n        0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,\n        0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0])"
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "betti_curve"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:47:55.053231796Z",
     "start_time": "2023-06-13T02:47:54.991263654Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [
    {
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x7fe38c2ce380>]"
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "plt.plot(betti_curve)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:47:56.971356081Z",
     "start_time": "2023-06-13T02:47:56.856300284Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "outputs": [],
   "source": [
    "LS = gudhi.representations.Landscape(resolution=100)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:14:17.941572034Z",
     "start_time": "2023-06-13T02:14:17.936050639Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [],
   "source": [
    "L = LS.fit_transform([simplex_tree.persistence_intervals_in_dimension(1)])"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-12T21:37:07.927842260Z",
     "start_time": "2023-06-12T21:37:07.907597022Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(L[0][:100])\n",
    "plt.plot(L[0][100:200])\n",
    "plt.plot(L[0][200:300])\n",
    "plt.title(\"Landscape\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-12T21:37:08.299853188Z",
     "start_time": "2023-06-12T21:37:08.092971868Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-12T21:37:08.305941542Z",
     "start_time": "2023-06-12T21:37:08.299588786Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_10274/715936721.py:21: MatplotlibDeprecationWarning: The 'use_line_collection' parameter of stem() was deprecated in Matplotlib 3.6 and will be removed two minor releases later. If any parameter follows 'use_line_collection', they should be passed as keyword, not positionally.\n",
      "  axis.stem(frequency, np.abs(A), use_line_collection=True)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Frequency in terms of Hertz\n",
    "fre  = 5\n",
    "# Sample rate\n",
    "fre_samp = 50\n",
    "t = np.linspace(0, 2, 2 * fre_samp, endpoint = False )\n",
    "a = np.sin(fre  * 2 * np.pi * t)\n",
    "figure, axis = plt.subplots()\n",
    "axis.plot(t, a)\n",
    "axis.set_xlabel ('Time (s)')\n",
    "axis.set_ylabel ('Signal amplitude')\n",
    "plt.show()\n",
    "\n",
    "# Applying the fft function\n",
    "A = np.fft.fft(a)\n",
    "frequency = np.fft.fftfreq(len(a)) * fre_samp\n",
    "\n",
    "figure, axis = plt.subplots()\n",
    "axis.stem(frequency, np.abs(A), use_line_collection=True)\n",
    "axis.set_xlabel('Frequency in Hz')\n",
    "axis.set_ylabel('Frequency Spectrum Magnitude')\n",
    "axis.set_xlim(-fre_samp / 2, fre_samp/ 2)\n",
    "axis.set_ylim(-5, 110)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-13T02:20:43.141387351Z",
     "start_time": "2023-06-13T02:20:42.847263416Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'wfdb' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[0;31mNameError\u001B[0m                                 Traceback (most recent call last)",
      "Cell \u001B[0;32mIn [1], line 1\u001B[0m\n\u001B[0;32m----> 1\u001B[0m record \u001B[38;5;241m=\u001B[39m \u001B[43mwfdb\u001B[49m\u001B[38;5;241m.\u001B[39mrdrecord(record_name\u001B[38;5;241m=\u001B[39m\u001B[38;5;124m'\u001B[39m\u001B[38;5;124mdata_original/mitdb/111\u001B[39m\u001B[38;5;124m'\u001B[39m, sampfrom\u001B[38;5;241m=\u001B[39m\u001B[38;5;241m2000\u001B[39m ,sampto\u001B[38;5;241m=\u001B[39m\u001B[38;5;241m3000\u001B[39m)\n",
      "\u001B[0;31mNameError\u001B[0m: name 'wfdb' is not defined"
     ]
    }
   ],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-14T01:08:11.972054136Z",
     "start_time": "2023-06-14T01:08:11.541207417Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
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