analysis_PB2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "source(\"PhyGraFT.R\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "m <- 100\n",
    "\n",
    "A <- as.matrix(read.table(\"dataset_PB2/A.txt\"))\n",
    "X <- as.matrix(read.table(\"dataset_PB2/X.txt\",header = TRUE))\n",
    "for(i in 1:dim(X)[2]){\n",
    "  X[,i] <- X[,i] / sqrt(sum(X[,i]**2))\n",
    "}\n",
    "\n",
    "#construct graph Laplacian\n",
    "L <- sym_normalized_graph_laplacian(A)\n",
    "\n",
    "#perform GFT\n",
    "tmp <- graph_fourier_transform(L,X,m)\n",
    "U <- tmp[[1]]\n",
    "eigenvalues <- tmp[[2]]\n",
    "hF <- tmp[[3]]\n",
    "tF <- tmp[[4]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CDQ+wIGSPftw/L4318m2yZn3XeROQIE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\nIECAAAECnRH4/z6RXqCo8zCXAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “2”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z0ZnW9w1iELtLcXvtPW1rLfkA+sOKC7u+8XXV2FYyqqrRIgQCCPAkdPmDDhs3nr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\nr/hapODmC9M1fLVynXKncrSSrw7WSDe4NlW2UXZ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QQQQAABBBBAAAEEEEAAAQQQ\nQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE\nEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA\nAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ\nQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE\nEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEohH4P6OmHWT3zo9QAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “3”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OF62fkLyStncpB9CRAgQIAAAQIECBCY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OeeyW5I+tZebmdtfkvKR+Xr1+RLA6Uzsk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\ngAABAgQIdEbg/wFUcE6B1KwGFQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “4”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot GF coefficients\n",
    "barplot_gfdomain(hF,tF,2)\n",
    "barplot_gfdomain(hF,tF,3)\n",
    "barplot_gfdomain(hF,tF,4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7NsdND3VYN1m30bfj05y+64jG02q9TZnGcnb0nelvxecpNkJVqd7blXUsfreiux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\nbMAGbMAGbMAGbMAGbMAGbKBuA/8fAtVkWEqcIcAAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot GLR\n",
    "plot_aGLR(X, U, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}