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@sebjai
Last active August 12, 2022 05:44
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STA4505-FPCA
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Functional Principal Component Analysis\n",
"This workbook investigates how FPCA can be used to analyse the modes of motion of the intensity curve of trade arrival in financial markets"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Sebastian\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
" from pandas.core import datetools\n"
]
}
],
"source": [
"# import packages\n",
"\n",
"import scipy.io as sio # for loading matlab data\n",
"\n",
"import numpy as np # for numerical libs\n",
"\n",
"import scipy as sci # more scientific functions\n",
"\n",
"from sklearn import datasets, linear_model # for regression\n",
"\n",
"import statsmodels.api as sm # for robust regression\n",
"\n",
"from matplotlib.ticker import FuncFormatter # for custom bar plot labels\n",
"\n",
"import matplotlib.pyplot as plt # for plotting\n",
"\n",
"import matplotlib.pylab as pylab\n",
"params = {'legend.fontsize': 'x-large',\n",
" 'figure.figsize': (15, 5),\n",
" 'axes.labelsize': 'x-large',\n",
" 'axes.titlesize':'x-large',\n",
" 'xtick.labelsize':'x-large',\n",
" 'ytick.labelsize':'x-large'}\n",
"pylab.rcParams.update(params)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Load Data and Display Legendre Polynomial Regression"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# load the data and store in an array volume\n",
"data = sio.loadmat('volume_INTC_2014.mat')\n",
"\n",
"buy = np.array( data['volume']['volbuy'][0][0] )\n",
"sell = np.array( data['volume']['volsell'][0][0] )\n",
"\n",
"# store volumes in one array\n",
"volume = np.zeros((2,buy.shape[0],buy.shape[1]))\n",
"volume[0,:,:] = np.log(1+buy)\n",
"volume[1,:,:] = np.log(1+sell)\n",
"\n",
"# transformed times at which volumes are measured (equally spaced through the day at the mid of the interval)\n",
"tr = -1 + 1/(buy.shape[1]) + np.linspace(0,buy.shape[1]-1,buy.shape[1]) *2/(buy.shape[1])\n",
"\n",
"# for plotting smooth fits\n",
"Nt = 1000\n",
"t = -1 + np.linspace(0,Nt-1,Nt) *2/(Nt)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# evalute Lengdre Polynomials up to order Kmax at the points t\n",
"def GenerateLengdrePolynomials(t, Kmax, makeplot=0):\n",
" LP = np.zeros((Kmax,t.size))\n",
" for k in range(0,Kmax):\n",
"\n",
" c = np.zeros(k+1)\n",
" c[k]=1\n",
"\n",
" LP[k,:]=np.polynomial.legendre.legval(t,c)*np.sqrt(k+1/2)\n",
"\n",
" if makeplot:\n",
" plt.subplot(1,Kmax,k+1)\n",
" plt.plot(t,LP[k,:])\n",
" plt.title(r'$L_' + str(k) +'(t)$')\n",
"\n",
" if makeplot:\n",
" plt.tight_layout()\n",
" plt.show()\n",
" \n",
" return LP"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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H/ws4g/hkk+TtHuDPiT8/lcJzi4hIFtiys4UnGo7z4deuTkt2vdAsnVN58k2pyFiSFRhL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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1e535612208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's use 5 basis functions, and evaluate at the locations of the order-flow information\n",
"LPr = GenerateLengdrePolynomials(tr, 5, 1)\n",
"LPt = GenerateLengdrePolynomials(t, 5)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# robust regress data onto Legendre polynomials\n",
"def RegressData(x, LP):\n",
" \n",
" alpha = np.zeros((x.shape[0],LP.shape[0]))\n",
" \n",
" for i in range(0,x.shape[0]):\n",
" regr = sm.RLM(x[i,:], LP.T, M=sm.robust.norms.HuberT())\n",
" regr_results = regr.fit()\n",
" alpha[i,:] = regr_results.params\n",
" \n",
" return alpha \n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"alpha = np.zeros((2,volume.shape[1],LPr.shape[0]))\n",
"alpha[0,:,:] = RegressData(volume[0,:,:],LPr)\n",
"alpha[1,:,:] = RegressData(volume[1,:,:],LPr)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1jV+zqp2Uprc3OgwRIUk2mlPFsg84ptPofcblRofSaIUzTcvoubQiODJaRgghhBmEUx9V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\nvwDmudnpyahd7sw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qpf4GvAUMBW4Fbo93vKHwbsNs1gX82XET/3BcxZXWuVxm/YG/2l7j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\nEREREZG09/8Bq/xgZbzMo4kAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1e53616f438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rO7TVNXXUP/NDFtsP8qWu29lzytY7+kOOLdbg+17526zLON+2iTS6KMjL7X08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v19H1CmlCobK+j5EWCHt8a01k9qrT+Vnm7fteiFsAtZ3UcIYZS2nE0sGjxBX094dSCc3/MEAHPX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\n3v8B+jdJD2phduMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1e536dfdb38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"iplt = np.array([10,20,30,40,50])\n",
"\n",
"def PlotFit(t, LPt, alpha, volume, iplt):\n",
"\n",
" for i in range(0,iplt.size):\n",
"\n",
" plt.subplot(1,iplt.size,i+1)\n",
" plt.scatter(tr,volume[iplt[i],:])\n",
"\n",
" ax = plt.gca()\n",
" ax.set_yscale('log')\n",
" plt.plot(t, np.matmul(alpha[iplt[i],:], LPt))\n",
" plt.semilogy(t, np.matmul(alpha[iplt[i],:], LPt))\n",
"\n",
" plt.title('day=' + str(iplt[i]))\n",
"\n",
" plt.tight_layout() \n",
" plt.show()\n",
" \n",
"PlotFit(t, LPt, alpha[0,:,:], volume[0,:,:], iplt)\n",
"PlotFit(t, LPt, alpha[1,:,:], volume[1,:,:], iplt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Perform FPCA"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def FPCA(alpha):\n",
" \n",
" N = alpha.shape[0]\n",
"\n",
" # the weight matrix\n",
" W = np.zeros((alpha.shape[1],alpha.shape[1]))\n",
" for i in range(W.shape[0]):\n",
" W[i,i] = 1 \n",
" \n",
" X = sci.linalg.fractional_matrix_power(W,0.5)\n",
" \n",
" # subtract mean curve\n",
" alpha0 = alpha - np.mean(alpha,axis=0)\n",
" \n",
" A = (1.0/N)*np.matmul(np.matmul(X,alpha0.T),np.matmul(alpha0,X))\n",
" \n",
" d, u = sci.linalg.eigh(A)\n",
" \n",
" print(d)\n",
" print(u)\n",
" \n",
" b = np.matmul(sci.linalg.fractional_matrix_power(W,-0.5), u)\n",
" \n",
" return b, d "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def PlotFPC(t, LPt, alpha, b, d, K):\n",
" \n",
" malpha = np.mean(alpha, axis=0)\n",
" \n",
" m = d.size\n",
" \n",
" perc_var= np.floor(1000 * d/np.sum(d))/10\n",
" \n",
" \n",
" for i in range(0,K):\n",
"\n",
" plt.subplot(1,K,i+1)\n",
" plt.plot(t,np.matmul(malpha, LPt))\n",
" plt.plot(t,np.matmul(malpha+np.sqrt(d[m-i-1])*b[:,m-i-1], LPt))\n",
" plt.plot(t,np.matmul(malpha-np.sqrt(d[m-i-1])*b[:,m-i-1], LPt))\n",
" #plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n",
" plt.title( r'FPC ' + str(i+1) + ' : ' + str(perc_var[m-i-1]) +'%' )\n",
" \n",
" plt.tight_layout()\n",
" plt.show() "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.01905232 0.0343359 0.05421489 0.10202459 0.56759654]\n",
"[[ 0.04864368 0.05233733 -0.14986326 0.26872479 0.9488006 ]\n",
" [-0.13118309 0.52409735 0.26566188 -0.76283683 0.23583195]\n",
" [ 0.43777604 0.26693522 -0.82491676 -0.21234898 -0.1073218 ]\n",
" [-0.68571389 0.55564467 -0.26002468 0.36578209 -0.14016451]\n",
" [ 0.56442306 0.58530963 0.3985778 0.40862983 -0.11400283]]\n"
]
},
{
"data": {
"image/png": 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laXR09/Lq4TPudbTqyxA9Dd74DvS6UTtDKXVx2P9HaK2BNTr7wtvWz4nnbFMH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\nkiRJkqTecwJDkiRJkiT13n+t/9BOxAOiMAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1e5360cf898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.02277744 0.03455076 0.06057253 0.13931181 0.64776148]\n",
"[[ 0.0709041 -0.00841741 -0.18326172 0.25195171 0.94754273]\n",
" [-0.1327872 0.54365899 0.32796116 -0.7124689 0.26764159]\n",
" [ 0.49231278 0.16265766 -0.7719172 -0.35671188 -0.08983926]\n",
" [-0.58153207 0.61070139 -0.39000766 0.34995415 -0.11954235]\n",
" [ 0.6299117 0.5522231 0.33300824 0.42331683 -0.09038407]]\n"
]
},
{
"data": {
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v1fvLz4knLNCPf+wsHeTpfrKug+Rl8PZ/QfsIamcopSaed38JQVPgvM96OxKf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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1e5386179e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b, d = FPCA(alpha[0,:,:])\n",
"PlotFPC(t, LPt, alpha[1,:,:], b, d, 3)\n",
"\n",
"b, d = FPCA(alpha[1,:,:])\n",
"PlotFPC(t, LPt, alpha[1,:,:], b, d, 3)"
]
},
{
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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