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lecture_8_fs2020.ipynb
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{
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"colab": {
"name": "lecture_8_fs2020.ipynb",
"provenance": [],
"include_colab_link": true
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/jteichma/2027350d66545a45caa6aea7ef5a8ae4/lecture_8_fs2020.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9bzImsl0p4Aq"
},
"source": [
"# Deep Simulation"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "P12RKZE5p4At"
},
"source": [
"We have understood controlled neural differential equations as structural roof of many sorts of neural networks. So far we have abstractly considered the initial value as input, even though it became clear in applications as Deep Portfolio Optimization or Deep Hedging that the dependence on control variable is equally interesting. In the sequel we shall investigate this further."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "92lqTQOAp4At"
},
"source": [
"Consider a controlled differential equation\n",
"$$\n",
"dX_t = \\sum_{i=0}^d V_i(X_t) d u^i(t) \\, , \\; X_0 = x \\in \\mathbb{R}^m\n",
"$$\n",
"for neural networks $ V_i : \\mathbb{R}^m \\to \\mathbb{R}^m $, $ i = 1,\\ldots,d$ and $ d $ continuous, finite variation controls $ u^i $. We are interested in the behaviour of the map\n",
"$$\n",
"\\text{ control $u$ } \\mapsto \\text{ solution process } X \\, .\n",
"$$\n",
"Taylor expansion along controls gives a satisfying answer to this question. Let us study this in some detail.\n",
"\n",
"By the fundamental theorem of calculus we obtain for every smooth test function $ f $ that\n",
"$$\n",
"f(X_t) = f(x) + \\sum_{i=0}^d \\int_0^t V_i f(X_s) du^i(s)\n",
"$$\n",
"for $ 0 \\leq t $. This equation can be inserted into itself which leads to a generalized version of Taylor expansion for controlled ODEs\n",
"$$\n",
"\\sum_{k=0}^M \\sum_{(i_1,\\ldots,i_k) \\in {\\{0,\\ldots,d\\}}^k} V_{i_1} \\ldots V_{i_k} f(x) \\int_{0 \\leq t_1 \\leq \\ldots \\leq t_k \\leq t} du^{i_1}(t_1) \\dots du^{i_k}(t_k) + R_M(f,t) \\, ,\n",
"$$\n",
"for $ M \\geq 0 $, with the remainder satisfying\n",
"$$\n",
"R_M(f,t) = \\sum_{(i_1,\\ldots,i_{M+1}) \\in {\\{0,\\ldots,d\\}}^{M+1}}\n",
"\\int_{0 \\leq t_1 \\leq \\ldots \\leq t_{M+1} \\leq t}\n",
"V_{i_1} \\ldots V_{i_{M+1}} f(X_{t_{1}}) du^{i_1}(t_1) \\dots du^{i_k}(t_{M+1}) \\, .\n",
"$$\n",
"Notice that the vector field $ V $ acts on test function $ f $ as transport operator, i.e.\n",
"$$\n",
"Vf(x) : = df(x)(V(x))\n",
"$$\n",
"for $ x \\in \\mathbb{R}^m $.\n",
"\n",
"Let us put this into an algebraic setup to understand better the structure of iterated integrals. Consider an algebra of non-commutative power series generated from $ d +1 $ non-commuting (free) indeterminates $ e_0,\\ldots,e_d $ (this mimicks the action of the vector fields, which generically do not commute). Every element of this algebra can be written as\n",
"$$\n",
"a = \\sum_{k=0}^\\infty \\sum_{(i_1,\\ldots,i_k) \\in {\\{0,\\ldots,d\\}}^k} a_{i_1,\\ldots,i_k} e_{i_1} \\dots e_{i_k} \\, ,\n",
"$$\n",
"without any further convergence assumption. This algebra is denoted by $ \\mathbb{A}_{d+1} $. Dually we can consider the free vector space on finite words in letters $ \\{ 0, \\ldots, d \\} $. As a subspace of $ \\mathbb{A}_{d+1} $ we distinguish the Lie algebra $ \\mathfrak{g} $ generated by $ e_0,\\ldots,e_d$. Its associated exponential image is denoted by $ G $ and is a group.\n",
"\n",
"By [Chow's theorem](https://en.wikipedia.org/wiki/Chow%E2%80%93Rashevskii_theorem) 'every' point in $G$ can be represented as\n",
"$$\n",
"\\sum_{k \\geq 0} \\sum_{(i_1,\\ldots,i_k) \\in {\\{0,\\ldots,d\\}}^k}\n",
" \\int_{0 \\leq t_1 \\leq \\dots \\leq t_k \\leq t}\n",
" d u^{i_1}(t_1)\\ldots d u^{i_k}(t_k) e_{i_1} \\ldots\n",
" e_{i_k}\n",
"$$\n",
"for some continuous finite variation paths $ u $ taking values in $ \\mathbb{R}^{d+1} $ and some time $ t > 0$. Of course each expression of the above type lies in $G$. This actually means that iterated integrals 'fill' the group $G$ and therefore $ G $ constitutes all algebraic relations among iterated integrals."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I5enZpmlp4Au"
},
"source": [
"In order to apply the above theory to the actual calculation of controlled ODEs one has to make the calculation of iterated integrals tractable, which is non-trivial since they constitute an infinite dimensional system. In order to calculate iterated integrals up to order $M$ in dimension $ d $ actually $ \\frac{(d+1)^{M+1}-1}{d} $ quantities have to be calculated which is exponential in $ M $."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Y0MSRSkip4Av"
},
"source": [
"An elegant way out might be to consider lower dimensional representations of iterated integrals which share their properties. This will be achieved by an application of the [Johnson-Lindenstrauss Lemma](https://en.wikipedia.org/wiki/Johnson%E2%80%93Lindenstrauss_lemma) (take a look at the very informative Wikipedia entry) and at the [original work](http://stanford.edu/class/cs114/readings/JL-Johnson.pdf), whose proof we shall sketch in the sequel.\n",
"\n",
"Let us first state the formal assertion: for any $ 0 < \\epsilon < 1 $ and any integer $ N \\geq 1 $, any dimension $ k $ with\n",
"$$\n",
"k \\geq \\frac{24 \\log N}{3 \\epsilon^2 - 2 \\epsilon^3}\n",
"$$\n",
"and any set $ A $ of $ N $ points in some $ \\mathbb{R}^m $ there exists a map $ \\pi: \\mathbb{R}^m \\to \\mathbb{R}^k $ such that\n",
"$$\n",
"{|| x - y||}^2 (1-\\epsilon) \\leq{|| \\pi(x) -\\pi( y) ||}^2 \\leq {|| x - y ||}^2 (1+\\epsilon)\n",
"$$\n",
"for all point $ x,y \\in A $, i.e. the geometry of $ A $ is almost preserved after the projection. Norms are $ L^2$ norms here."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "X6I-tTtRp4Aw"
},
"source": [
"The proof consists of three steps: let $ R $ denote a random matrix with independent identically distributed standard normal entries of dimension $ k \\times m $.\n",
"1. For $ u \\in \\mathbb{R}^m $ and $ v := \\frac{1}{\\sqrt{k}} R u $ it holds that\n",
"$$\n",
"E[{||v||}^2] = {||u||}^2 \\, ,\n",
"$$\n",
"which is just a calculation with independent standard normals. Notice also that the entries of $ v $ are independent standard normal random variables with variance $ \\frac{{||u||}^2}{k} $.\n",
"2. It holds (for the particular $k$ from above!) that\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\big) \\leq \\frac{1}{N^2} \\, .\n",
"$$\n",
"Indeed\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\big) = P\\big (\\exp(\\lambda Z) \\geq \\exp(\\lambda (1+\\epsilon) k) \\big )\n",
"$$\n",
"with a $ \\chi^2 $ random variable of dimension $ k $. Notice that each summand in $ ||v||^2 $ has variance $ ||u||^2/k $, whence yield $ Z $ by rescaling. The formula holds for every positive $\\lambda$. By Markov's inequality we arrive at\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\big) \\leq {\\big( \\frac{1}{\\sqrt{1-2\\lambda}\\exp(\\lambda(1+\\epsilon))}\\big)}^k \\, .\n",
"$$\n",
"For $ \\lambda = \\frac{\\epsilon}{2(1+\\epsilon)} $ (this is our choice) we obtain\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\big) \\leq \\big( (1+\\epsilon)\\exp(-\\epsilon) \\big)^{k/2} \\, ,\n",
"$$\n",
"which yields by $ \\log (1+a) \\leq a - a^2/2 + a^3/3 $ that\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\big) \\leq \\frac{1}{N^2} \\, .\n",
"$$\n",
"In an completely analogous manner (replace $ \\lambda $ by $ - \\lambda $ and arrive for $ \\lambda = \\frac{\\epsilon}{2(1-\\epsilon)} $ at an upper bound\n",
"$$\n",
"\\big( (1-\\epsilon)\\exp(-\\epsilon) \\big)^{k/2} \\, ,\n",
"$$\n",
"which in turn can be estimated by $ \\log (1-a) \\leq -a - a^2/2 $. Whence the result\n",
"$$\n",
"P\\big( {||v||}^2 \\geq {||u||}^2 (1+\\epsilon) \\text{ or } {||v||}^2 \\leq {||u||}^2 (1-\\epsilon) \\big) \\leq \\frac{2}{N^2} \\, .\n",
"$$\n",
"3. Summing this up over all possible combination of two points yields that\n",
"$$\n",
"P\\big(\\text{ The ratio of norms of distances lies in } [1-\\epsilon,1+\\epsilon] \\big) \\geq \\frac{1}{N} ,\n",
"$$\n",
"whence there exists a matrix $ R $ which does the job."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b0f3OZDGp4Aw"
},
"source": [
"This result can now be applied to the differential equation in $ \\mathbb{A}_{d+1} $ which generates the iterated integrals, namely\n",
"$$\n",
"d Z_t = \\sum_{i=0}^d Z_t e_i du^i(t) \\, .\n",
"$$\n",
"The random projection of $ Z_t $ will almost preserve the geometry of the iterated integrals (which is necessary for the quality of the regression), and the random projection can be calculated by means of a *random* controlled differential equation, which facilitates calculations tremendously.\n",
"\n",
"There are two ways how one can see this result:\n",
"\n",
"1. We consider a space $ \\mathbb{R}^k $, where we mimick the 'geometry' of iterated integrals, i.e. we consider the controlled differential equation with independent random matrices $ A_0, \\ldots, A_d $ and independent random vectors $ b_0, \\ldots, b_d $ and activation function $ \\sigma $ (applied componentwise)\n",
"$$\n",
"d X_t = \\sum_{i=0}^d \\sigma (A_i X_t + b_i) d u^i(t)\n",
"$$\n",
"as a sufficiently close replica of the vector of iteraated integrals. Following rough path literature and the notions introduced by Terry Lyons we call $ Z $ signature and $ X $ random signature.\n",
"\n",
"2. We consider a space $ \\mathbb{R}^k $ and vector fields\n",
"$$\n",
"V_i (x) = \\sigma (A_i x + b_i)\n",
"$$\n",
"for again with random matrices $ A_i $ and $ b_i $ and define a representation $ e_i \\mapsto V_i $. This representation is faithful under mild assumptions on $ \\sigma $ and $ k $, whence again a solution of\n",
"$$\n",
"d X_t = \\sum_{i=0}^d \\sigma (A_i X_t + b_i) d u^i(t)\n",
"$$\n",
"inserted into functions $ f_1, \\ldots, f_N $ mimicks the geometry of signature."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FQ7yhE7mp4Ax"
},
"source": [
"In the sequel we shall see two instances where this is applied: first we learn an unknown stochastic differential equation."
]
},
{
"cell_type": "code",
"metadata": {
"id": "8Ij6j_mLp4Ax"
},
"source": [
"import numpy as np\n",
"import scipy as sp\n",
"from matplotlib import pyplot as plt\n",
"from scipy import linalg"
],
"execution_count": 20,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"outputId": "1ce4f839-acf5-4ee0-c8a6-8359614433b2",
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "qMcmdaA1Bq3X"
},
"source": [
"import pandas as pd\n",
"import pandas_datareader.data as web\n",
"!pip install --upgrade pandas-datareader"
],
"execution_count": 21,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: pandas-datareader in /usr/local/lib/python3.10/dist-packages (0.10.0)\n",
"Requirement already satisfied: lxml in /usr/local/lib/python3.10/dist-packages (from pandas-datareader) (4.9.4)\n",
"Requirement already satisfied: pandas>=0.23 in /usr/local/lib/python3.10/dist-packages (from pandas-datareader) (2.0.3)\n",
"Requirement already satisfied: requests>=2.19.0 in /usr/local/lib/python3.10/dist-packages (from pandas-datareader) (2.31.0)\n",
"Requirement already satisfied: python-dateutil>=2.8.2 in /usr/local/lib/python3.10/dist-packages (from pandas>=0.23->pandas-datareader) (2.8.2)\n",
"Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas>=0.23->pandas-datareader) (2023.4)\n",
"Requirement already satisfied: tzdata>=2022.1 in /usr/local/lib/python3.10/dist-packages (from pandas>=0.23->pandas-datareader) (2024.1)\n",
"Requirement already satisfied: numpy>=1.21.0 in /usr/local/lib/python3.10/dist-packages (from pandas>=0.23->pandas-datareader) (1.25.2)\n",
"Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19.0->pandas-datareader) (3.3.2)\n",
"Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19.0->pandas-datareader) (3.7)\n",
"Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19.0->pandas-datareader) (2.0.7)\n",
"Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19.0->pandas-datareader) (2024.2.2)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.2->pandas>=0.23->pandas-datareader) (1.16.0)\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "zGGk034fp4Ay"
},
"source": [
"d=2\n",
"M=150\n",
"\n",
"def nilpotent(M):\n",
" B = np.zeros((M,M))\n",
" for i in range(2,M):\n",
" B[i,i-1]=1.0\n",
" return B\n",
"\n",
"def canonical(i,M):\n",
" e = np.zeros((M,1))\n",
" e[i,0]=1.0\n",
" return e\n",
"\n",
"def vectorfieldoperator(state,increment):\n",
" d = np.shape(increment)[0]\n",
" N = np.shape(state)[0]\n",
" direction = np.zeros((N,1))\n",
" for i in range(d):\n",
" helper = np.zeros((N,1))\n",
" for j in range(N):\n",
" helper[j]=np.sin((j+1)*state[j,0])\n",
" direction=direction + helper*increment[i]\n",
" return direction\n",
"\n",
"def vectorfield2d(state,increment):\n",
" return np.array([(2.0*np.sqrt(state[1]**2))**0.7+np.sin(state[1]),1.0*state[1]+np.cos(state[1])])*increment[0]+np.array([(2.0*np.sqrt(state[1]**2))**0.7,0.0*state[1]])*increment[1]\n",
"\n",
"def vectorfieldSABR(state,increment):\n",
" return np.array([(np.sqrt(state[0]**2))**0.7*np.exp(-0.5*state[1]),0.1])*increment[0]+np.array([0,0.25*(state[0]+state[1])])*increment[1]\n",
"\n",
"def vectorfieldinv(state,increment):\n",
" return np.array([state[1]+state[0],state[1]-state[0]])*increment[0] + np.array([state[1],-state[0]])*increment[1]\n",
"\n",
"def vectorfield3d(state,increment):\n",
" return np.array([np.sin(5*state[0])*np.exp(-state[2]),np.cos(5*state[1]),-state[2]*state[1]])*increment[0]+np.array([np.sin(4*state[1]),np.cos(4*state[0]),-state[0]*state[1]])*increment[1]\n",
"def vectorfield(state,increment):\n",
" return 5*np.exp(-state)*increment[0] + 5*np.cos(state)*increment[1]\n",
"def randomAbeta(d,M):\n",
" A = []\n",
" beta = []\n",
" for i in range(d):\n",
" B = 0.0*nilpotent(M) + np.random.normal(0.0,0.03,size=(M,M))\n",
" B = np.random.permutation(B)\n",
" A = A + [B]\n",
" beta = beta + [0.0*canonical(i,M)+np.random.normal(0.0,0.03,size=(M,1))]\n",
" return [A,beta]\n",
"\n",
"Abeta = randomAbeta(d,M)\n",
"A = Abeta[0]\n",
"beta = Abeta[1]\n",
"\n",
"def sigmoid(x):\n",
" return np.tanh(x)\n",
"\n",
"def reservoirfield(state,increment):\n",
" value = np.zeros((M,1))\n",
" for i in range(d):\n",
" value = value + sigmoid(np.matmul(A[i],state) + beta[i])*increment[i]\n",
" return value"
],
"execution_count": 22,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "pGrCYv60p4Ay"
},
"source": [
"class SDE:\n",
" def __init__(self,timehorizon,initialvalue,dimension,dimensionBM,dimensionR,vectorfield,timesteps):\n",
" self.timehorizon = timehorizon\n",
" self.initialvalue = initialvalue # np array\n",
" self.dimension = dimension\n",
" self.dimensionBM = dimensionBM\n",
" self.dimensionR = dimensionR\n",
" self.vectorfield = vectorfield\n",
" self.timesteps = timesteps\n",
"\n",
" def path(self):\n",
" BMpath = [np.zeros(self.dimensionBM)]\n",
" SDEpath = [np.array([1.0, self.initialvalue])]\n",
" for i in range(self.timesteps):\n",
" helper = np.random.normal(0,np.sqrt(self.timehorizon/self.timesteps),self.dimensionBM)\n",
" BMpath = BMpath + [BMpath[-1]+helper]\n",
" SDEpath = SDEpath + [np.exp(-1.0*self.timehorizon/self.timesteps)*(SDEpath[-1]+self.vectorfield(SDEpath[-1],helper))]\n",
"\n",
" return [BMpath, SDEpath]\n",
"\n",
" def anypath(self):\n",
" BMpath = [np.zeros(self.dimensionBM)]\n",
" SDEpath = [np.array([1.0, self.initialvalue])]#[np.ones((self.dimension,1))*self.initialvalue]\n",
"\n",
" for i in range(self.timesteps):\n",
" helper = np.cos(BMpath[-1]*50)*self.timehorizon/self.timesteps#np.random.normal(0,np.sqrt(self.timehorizon/self.timesteps),self.dimensionBM)\n",
" BMpath = BMpath + [BMpath[-1]+helper]\n",
" SDEpath = SDEpath + [np.exp(-0.0*self.timehorizon/self.timesteps)*(SDEpath[-1]+self.vectorfield(SDEpath[-1],helper))]\n",
"\n",
" return [BMpath, SDEpath]\n",
"\n",
" def reservoir(self,BMpath,scaling,k):\n",
" reservoirpath = [canonical(k,self.dimensionR)*self.initialvalue]\n",
" for i in range(self.timesteps):\n",
" increment = scaling*(BMpath[i+1]-BMpath[i])\n",
" reservoirpath = reservoirpath + [np.exp(-1.0*self.timehorizon/self.timesteps)*(reservoirpath[-1]+reservoirfield(reservoirpath[-1],increment))]\n",
" return reservoirpath\n"
],
"execution_count": 23,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "p4l4PdBBp4Az"
},
"source": [
"Sabr = SDE(1,1.0,2,d,M,vectorfieldSABR,10000)\n",
"training = Sabr.path()"
],
"execution_count": 24,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Wee_oJyFp4A0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 522
},
"outputId": "09669f90-6a74-426c-c603-b047030ab2ca"
},
"source": [
"f1,p1=plt.subplots(2,1,figsize=(6,6),sharey=True)\n",
"p1[0].plot(training[0][:4000],'r')\n",
"p1[1].plot(training[1][:4000],'g')\n",
"#plt.savefig('trainingpath.pdf')\n",
"plt.show()"
],
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "LcXWC3typ4A0",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "6a07e296-89f0-4a06-f944-3e93470d8819"
},
"source": [
"BMpath=training[0]\n",
"Y = training[1]\n",
"Ydata = np.squeeze(Y)\n",
"Ydatadiff = np.diff(Ydata,axis=0)\n",
"Ytrain = np.concatenate((Ydata[:2000],Ydatadiff[:2000:1]),axis=0)\n",
"np.shape(Ytrain)"
],
"execution_count": 32,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(4000, 2)"
]
},
"metadata": {},
"execution_count": 32
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KFIeex1Up4A0"
},
"source": [
"Here we use the methodology introduced above under 2.: we solve an equation with vector fields\n",
"$$\n",
"V_i(x) = A_i x + b_i\n",
"$$\n",
"with random vectors and matrices on some $ \\mathbb{R}^M $. Then we insert the resulting vector in several (non-)linear functions $ \\operatorname{id}, \\operatorname{arctan}, \\operatorname{arctan}(2.)$ yielding a high dimensional regression basis (in the case below in $ \\mathbb{R}^{3M} $)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "PrDvurdup4A1",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "3e6edd3c-0785-4fbb-85d1-ac8b47f3a6f4"
},
"source": [
"X=Sabr.reservoir(BMpath,1,0)\n",
"np.shape(X)\n",
"Xdata = np.squeeze(X)\n",
"for l in range(1):\n",
" Xscaled=Sabr.reservoir(BMpath,0.5-l*0.1,0)\n",
" Xscaleddata=np.squeeze(Xscaled)\n",
" Xdata=np.concatenate((Xdata,Xscaleddata),axis=1)\n",
"#Xdata = np.concatenate((Xdata,Xdata**2),axis=1)\n",
"#Xdata = np.concatenate((Xdata,np.arctan(Xdata)),axis=1)#,np.arctan(4*Xdata)),axis=1)\n",
"Xdatadiff = np.diff(Xdata,axis=0)\n",
"Xtrain=np.concatenate((Xdata[:2000],Xdatadiff[:2000:1]),axis=0)\n",
"np.shape(Xtrain)"
],
"execution_count": 33,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(4000, 300)"
]
},
"metadata": {},
"execution_count": 33
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "qmQ9GmBFp4A1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "86c48646-4d83-4d80-f72c-c1f51e87909d"
},
"source": [
"from sklearn import linear_model\n",
"import pandas as pd\n",
"lm = linear_model.Ridge(alpha=0.05)#\n",
"model = lm.fit(Xtrain,Ytrain)\n",
"plt.plot(model.predict(Xtrain),'r')\n",
"plt.plot(Ytrain,'b')\n",
"plt.show()\n",
"model.score(Xtrain,Ytrain)\n",
"model.coef_"
],
"execution_count": 34,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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z2JnZ0qL8TJYyi26zphZVTPwa+QIABE6InbEOeScuACLYddzXou67u/sj+r0YLD/TTVE+ufd20/P8S9k2z+Ub5oPez3eARgN8+eAm240qSW4ujp1SBiMfFryI6Hs+AQDEvLwcj+61nLJ+zWfza0OjMQ5sjokBJk8pn/9CeLOGqIaTKkCn0wkA0el05X/wrCz5tc5YMQ7jND5Er3fsGKtWiQCyF52lLi6bjnOy/QOStj5WcexrD8PJU1bLb3yMavj3TXdx1otnBBAJ8MgSEZFzZ/WKc/w0LUFESm/LfQHbb7otlcWBFact+veoZqnUwwWL8qWv7i3xWF7IsuuztPUw6A2m539N22H1HBf2pVjsVxZPYIHtdhw8JLWhK7GtRUVlO68tC5/6RwCRAQG7y/fARFQp2Pv9XeOvjKB2bXhet7hdK8SXml/EwsCBwLx56IJ9WIv+pmKfr96Hdw/rA1w1jcIVr4ORbP3Y5ZB8ZOUi44DFy/nGcQ0r31NOR37zg9qKcSO2/HH5NuOTCli48FbrcH8ji7Jl8iiSYZnaveOQknOI3LhYnCNaeJyFxsk8dinXyh2hvPMZaNTZt8znuKbgSj4WYpTp9RdPK2/FObVvi2xYJvpb+VMWMjKAjIyaOauKiCoegxEAgQHmL/xxmFu2g4wdCyxfjo4R7rgb6zEcP8A/rBZca7tbVO2BGMDJCe29zLMQUlDPoh4AfH8uCjnZNxeQ6G+IOXNSlN94ZwrrYewA+9b/+cT5NXTzSUDC64tuqk1qubj0HyQvWu/QPs07V9x0661H/AEAA4OMs3IyLymjwhOrj6NuqAeKoLXY92qeY7fwzv6jHKd0x91uaOlnI9HMv7KygEHDvOHnB/iV/yxfIiIAZcgzUh0F1jf/uefb2PaquyXSaICHHoJLjx5Y3+DfBFl1rQ98nNV4DoBIxJwORq1Aq1UUJg86gq82O57R9Zp/dB1Mz/venocN22+3qLNoo30zIiYZPgQAtJzZDTKjzE1SRWF6Dur/Xy+H9vnve5cA2PEhlcGB9akIbGRc0bqO11UgFci4rJxi/MD9BhTAekYxt1quDl04u3hUubpww15hWLw8F5372N6ndtkv+hAR2Y1XRgA0aONjet73qYY3d7D69YEffwTWrDHlMTn58y78ef93MECDLNRG5DBjAi3PgFrwRunLzzfSnyy1jr02bLee3MqWbtjt2AkMtlctVtvh73Y5VP9E/FWMeaPsgUigcxqmd1tlUV7XMw8GA9D+7iBTWR0f4+DgQ3HFWHzvYuizjOnhjxRbDrC93oFl9q/tcvFUPgAg2C0d+3dfhW+gGzr9xw/7t9oeNEtEdCswGAHgFBIMAzQQaBAUZnlbxWGPPw4MGGB62eSxCNz7+2hojh9H7U+nA1PM+Rv0cLZ2BAVt/TJercHNDTk59t127JbuOBtvY92UGwKPuEFv4VftMCAzs+wnrUDr1lkvf7rZRouy9/puQdNW9g2QmPmU9aRfAg2m7r4Xmz9SBnQnz3tYpLip8+8tkB9T+mLY6scwJSIamQctp38n/nMeUXX2mV6v+PqiXW0EgMRY49ihqNAEdOxm7lvHXrVNKxADQAfP41j1v8LK+jESUTXEYAQAAgKgadsWqFsXGDy49Ppl1awZMHGiYiGPyQNKX9smN6vsVxsKs+0YmWpDs8eNibkatrKeqfZqunIga6dV7+LR4l+w7pGS1ztRy88bradan7XH8taNh5v97/mQ0dbHlBSKMf/GHZO6Q68HPnwjCzs3F8DXzzLZXh1/5a/iZ8cGYMEUy5V8A1rUwaz/ms/nyFjrt/Y9YNynyDKj7PWDcAuLnTHwQS18fCyqERFVCAYj1xw6BKSlAV63Zm2Ya177vQde6FHy7YOt+6wHA/bIvZxX5n0/u6fkgZ66c9Zn1Sw9UPKthVvq1CnIx58AeXmIh2XulAWP/Q1PH1d8/ZIy3X3isQKLurbU7xQId41l/XwxX2VzcgJefc8bEXdYv/LmV1f5q+iGItSpZzlo1bOuBxp2DTC9XrvXzqtm110iO6qznDF0vTC/qj9bioiqFgYjKnPVOqH/gJI/hjWpXW1vLC45EdmetWVPJ/9KtHlV47sjzYNxnWAcZHnlnLmsKCnF9Pz7y/eWy5Tk8vB11wUIePUJ7BtjniX17bhYPB91FHtXpWDUz1EAgHGfNUfudXejEvLD7D6Hm1aDbdudsGJxHgoLgceaGoPLSf3tX/JYf1V5JaYA7vjjF8vbYxonDXzC/OAC40yaHdn2rdJ4Kc58O+eTLy2DnOuNm1oxA3aJiGxhMFIJeDcq/a/bxzrFY/Hbyr/eY19ditaux7H84SX4tNcKXIm3zFUy4LkS0ofa4QHN70havhvrtnthwwZg716gvotxOuiVC+arLknxyplDxbE3n7a8PIzPfB/p8McTi+82lYXfFoIvNrRCl4HK2zaensBjvYxTnN+a49jquV0i3XDfUE+4uQHz93TChq9PYNrvHe3e39VPeUXOAGesyOtneu2MYnw1LMb02ltjHuORnlj6lYwfXzKnfO89IrzEuvc9W7/U45W7yhG7EpFablEStptSoRlYKwGDQeTF3vtEA32J2S8BkSJdnmRMmiGG3Xssto2ov8Hi2CUd68F2CXZlCO2NzYpjtvM8IYDIuqnbTGUHFh9W7LMs+LkKf98sZGSIZGebXqb/vc96plGD7UPo9SKpqbegrTfIyiz5s7/RtcylgMgjoTGlHr+0zK3fv5skIT7ZkpdbwptTARaOMfajvz8zsBJVR8zAWoVoNMDszR1x8NlvsH7kz1i9wHYiqolNV6LOx1MwovtRi20/XIiy63zdsRO/PLQc332Zryg/t9/6LZ2tuENx28VPkwkAyDxqvhKTe0U5UPbRlC+NT955B2je3Dgepzxt2gR89BGSx78HOX4CkpuH4XVWYYLvAlNbP5l4wWK3pm5nbS3WDMA4tiNQhbsUtX2ckHjKgHGPpKFZLWW7f3rbciDriG96mp4n6xybrm3NE2+G4kKmFzw8S3hzKsCtPRsRVVq3KDi6KdX9yog1ZVnjpKVTgvkAxcUixcWmbU1xXCKwQzpjj+h12VbPIyIS7Jlp9diX5v3PtI8TjMft6rrfVLbhvZ2K+s64KiIiW3G7vIM3pTjitvJ7c7Kz5V6sNJ1rus+ncuyPY4qrRyKiqHPt0cV5n8OnK+/1WEozvv1WU3ubaJNs1num9Wa7rirEfmO+ivbRI7vKu7k3ZRGvjBBVa7wyUgOlSR0U/Dup4ymfZWjnEm/a9lS/89iZWA+xx33g5G05Y+g5GK9kvPaQ9ZwZ3Z7pDOiNA1c7hxgHq8ZdbWO6CpGbqUxN3klrPHdv/IOpeBcf73Is86lNBgNORT2NVdetkjxNNxFbRn1vep11PgvFulxFnWti9Z0cOt3DPZPh5gacOpxfeuVyEtrAfBWqWS0baxYBGPyAMYFyUnadEo83c5p5ps9d91muPUNEpDYGI5XU5k2CzvVsfxFZkyb+8PAAknck4rvcoTiMdqZtwaGuQHi4MdfJddZHTsNkzMTsQ8ZbPINeMS8K5+Fh/lI8i3BkxhtnZEydaJzlUQxXXN34DwAgN8sYqHhqjINaM67WViRFm4IPgCPKhdnK4uLXK9B0188W5U9nfGB6rruYC935m88qmp5ajP/tMK4ZdFuE9VlL65dkYOqwUygqLL8RmM5a8yoNF/J8bdYL+3eKb3KR7WAkLe48LueY89o0+89NZhgmIqoADEYqqTvu1GDx15ll2vf1x85YlAWGWV/f5O6tb2Fm2lg4t20FAGjSvhZSUoCcHCAvT3lHP/2sccZMWFNz9s5N24zPs/ca05I3cDeODUkz1AGuXFGerK0d6+tkZ+Oqpw9y20earsRc76O5pS+WojueiuwL1meYDGlrf0B06NdjpueX8sznLS4GvvtW8MrjKeg3tA7eXdwEnz91yO7jluaZ77qZnnu72c53EtDUmJXsivjhaoHle3U1twgBnRpgS04XAMDkO2LgU+/mx5cQEZU3BiOVWPPBZUsetvDsXRZlHrVtrIno4mLMPHudoCDTsjoKaaeNX/A+7cx/XRfpnQER/LKvuXGb3hiAZMEHOb/+pdi/E/YB+SXf7jgx7G245evgdSgGOdGWyeCSU0sf8jj7xUR80s96wralhy0Tn9mSl2k9e+2cqSl4aowGn/5snv676LfyS5bn5WcO9kKDbK/MW6dpHWhgvPqUfirTYnvywcuK125imXmViKgyYDBSiWmcNNj26spyOZZXcNmyuD75f+ZcIilLtwAAwhqb19ORwiIU7diLLbgTAFBcx5wd9Mdx2xXHikMnGC6nmwvy8oDEREWdwX8+ZXoe02+aRXuO5pS+uvAPxY9hDp4DALjC/nT4eTkG/G/WGWRnGq8yDHyrs2J7YYHxVswfX1vO0mlR63yJx5b8ApxdEA3JsbHOzw0+euo4WvlexLTvw23WcXZ3RV2Ncb2Zy6csrwTpkpXZd0e819yucxMR3WoMRiq5nh+Wz1o5XR4tW/KzL78zX9afsONh0/PefsY1dXQnL2FClHl9nSjd/0zPn4U56+k1usQM84uICKBxY+Cgef9jaGV63hcbLPbXiGPr9FyFm0WZGKyP7xjf6yAefjkcrYPS0bKO5fTqcweNV336tU+x2JZjKPn2x6QmvyF8dB9M7fZXifVM9ec3R/yVELTsWXJCvACXTADA5cQci21ZqcqrUE16lZwGnohILQxGqoA1b8WUXqkEv7+xt8TcGiXx9ASe6GNcPTZDY/5i9HQ1Dugc/tuD+LpgtKn8a/3TJR4v861PjU9EsPlwXUzHVOhfmACIQE4nWu4waRIwb57x+b59yCgq+zo914TWSkdGsuUti4VxHQEA54sCkXAlyGJ70j7jeJgCN8sZKevTu+LgitM2z/lp8mMAgPeOPWyzTlkEuBsH6l5Osrz9pbtsvio0LGxbuZ6XiKg8MRipAga8E4nU+HRF2bW1SWx5tafxy8cd+Rg01bHprDd69iXjWiY5UgsZmjowaJxQeFlnte7nX7lgdGvbwVPyPyeAhAQgIwN3YTPexnT8vKU+4OSExNXxirotNccw+JNemDQuGygsxPddvsR5lG02SPxG89WMCwX+mDNmv8PHOHskByLA74esX2X6aIL12U+G4rKvulyaAC/jrZjLF6/iTKJg327zrB9dmvFnpJP7USw8GlFhbSgPIkx/RlSTMRipIvzCleu5F8PVRk2jcR+EY/v3x5F8Tg9nN+cS65YmrIs/AEAPF9RFBpxhwCaxHCQLAP8Z2wSerrYDpVfwCfDKK9CnZ5rKRuIH3IWNOPat8q/3Y9ISf2IwPsEknBj+Dp7E97jR7BH7TM/Hd9xusR0AmrolodVdyrVmdh2wvnquNQ/5bQQAPPlVZ8yfnYsDl+pZrefmbDmjBQDy05VjN3IPJyL3oPV8Lo4KrWu8IvL8kp5o1FiDLhEuSD5lPF9mujEwaeirg4tHyT8vatHwfyAiAoORKsPVw8ZsGADH91mOF6jfOQi3PdEcvg1ufpZHQLD9wUxjJAIpF21uj8Ft2LfqAjLOKvOAbMZd+OL0QJv7Nf/1favlHvGx2Pf0NzjoGQG3/Eyrdazl4Vh9viMKc5RBUyPns1b3Dw4x/5o8PdH2bSJfL+u5SHIvm4OR+s4paNjOGwEd6qHoin2DWUvSoIHl+JfE6FNYP+cEnl1sTDTX0D/Pog4RUWXCYKQaaNZJGXA44ypcPcvvL2FHx5vEpSoHSj7yiHL7Z5gA3RsfWex3Mcfx7KBP7x2Dzt88jfZ5u/BZgvVgJhfWA7KMROWtJp3BMofJq21WYUREQoltmNTYOGj3swP/gUYDxH4Urdiek2bOFVKgd0EG6iIfnji327GkdtYE17cMFAsLgH7PmZPbhTHPGRFVcgxGqjh3GC/T14d5auk/a27+L+6b8Q96K17/+KNy+08YDt0eyy/4Q2hfIe1ZOeuk1fJ7/2N+n/RFelwRX8X2HVPX4sNDA9H9s6F4C+9Y7P8lnkNMvQfRpEeAorzra30Ur3PTzcFIOvxNz/v1h2IBwrKoF255u+nPdcpANKSh7atqRESVAYORKu7uesaMoicu+eLID7EQgyBygK+6jbqBVgs8+6yy7GNMuqlj3tfGciVbAPj4qQRoYZ4p44KrGDTBOOD0WoKwa/alhZmepyZkQm74dYic3t94WcjbG4H3KgeAPubxG54zfIkeF3+Df4jlVaj5j20yPc/NsJ5s7BSaImn9Mavb7FW/leXVpM/WKJPl1W9qPfsuEVFlwWCkCnJDEWY/eRDPd96O7zY1BgB4BHih9fAujt9TqWDfTDUmCJs+XVm+FP9nev7ig+ccPu64N6zn32gbqkMhtKbXYa7mWyEHF9qeQTNlqHJacfdahxWva/kp85V0aJhpeq/9Qy1zjIz9xTzAN+eK7QG9Yf1bITH6NIpOn8fF979H0kuzjMng7FS/g3+pdTr0Cy61DhGRmhiMVCH/LLmAJ7rH4/xZPV78rj2+iO2JgBYlr9haXr6YZfxCva1FmvW2/WN9v049jIGBv7/179hhvqsx+C7HF7W7rb/18SXJ6w4qXge4mzOTth3ZBbqjloNrRYAfjnRVlLm7KAejXsxVzmZ6+n3zQAz/cMsxKZ09j5qe37ii8Y369xe0a5KL+m+OQtjnE7Hm8cUl1r+eV6OAErcfGPQmfNqWnrWWiEhNDEaqkNuH1Mf3u1ojoOGtv+z+/ARXJCcDr461zC+y7R/B7bcDycmAVqscAxHQxBw0eHgAXl7K7S4ugKbA9pUALw/LGSqHDwO1/ayPg3hlxwOK1x7OykDAu2UIfhz5NwCgj28sAGDpNGV+EwDo0EyZROziKeVr7wE9Tc/9G1sGRs39zYsE5uqMfWjvcdxqm48XN8FxmFdLfmedAzlBnJ3hj8s2N7df+Z79xyIiUgmDEbJbcDAQ2ruRouzdcRfQ83aNafvFi8rbRP4hytsbW7cqt8flNcPmSasVZW4aYwAxfLhg5SfKsSGtPU6jzb9r3d1Ze69FGzOgvH3j5mKZ+8MryDg9N09vbNvKHzIV28dH7MV7q5WJ4t64a4fitcbTHBDWaeJncY6iq+Z+5mQZx6qE+1yxqGdNZqH9OVAAIGHqYhz07AH56GNF+dzarzp0HCIitTAYIYd06uKEJ58EXnkFuHQJeGNOfcX2OnWAZR8ax194IB9eN9zBuGGBYGi93fEOlAviDQiMhV4P/PCDBrU7NlFs8ys23ybanK28tWKN1sUy+6mXr/GqSkx2O+TmCG6cz/LVzq7wDlQGBCFvjzU9fxi/KrZZywHzW3IkXmm3DgCQm20MiGpprechuVGCvlnpla5TZ/qLaJe705g6/zpjD7/g0HGIiNTCYIQcotEA330HfPwxEBBgfbxst/7GiEMPJxSnKtPYe99wR0PqN7A8gMEAp39/Mjt0U15Z2X61u+l5XVfrKemvp3W1vDIS1sYcIX0y4iCWnL3N9HqAt/UsrvDxwUeYhHq4iBkP7bNe5wafHu4HMQhy/81J5+Wux+F/rmDh1NOo7WSZqO6aptoku45fEi9kw6mhlfe2krq5Cc5EVNUxGKFyF9rGG57IQxG0SNx1SbHN11dZ987/WP4IFjQyr9zr6gqsm3XE9NpFY766sP9A6Zlhta6WX3PhvcwDOvfvKlJsWxhte7DnpPktcKHDQDT77FmbdW60cVYccv5NZ1LLw4A2t/th5PTGOJlge70aP6fSgyxb/ocH0RH7kTL58zIf41bSVLLZX0SkDgYjVO6cnYFA1wwAQNpZ21cAAODdd4FgjXERu65tjQNZJ76rHIPhHWCeqnu/i3l8SWgrL4R4GM/zw3QrK/4C0Lpafum7+pmvjKxPaWd6/nDIdgR2LSFd6VNPQRO3Hwi1DFhWT9uNbp6HMbblVkX5M1MDkZtn/MKt5WkOjAKbekMEmNnnb2hgwNrpu/DyY8ZpyHvy2yHrt78BEeT+8D/IGetp6q158OIc7P87A7Vmvmn3PkREamMwQhWirtYYhMSvvwD8/Tdiwx+C7sN5FvW0boIcMQ4oXfRFNuLjgb59lXVqeZn/ek4IUS7QF3e2DuKPCO57xvridVo36zcAhgevBwDkG8xjQ+5pd95qXXvc83Z37M5ti4YNlMHPyfz6OJdh7N+N42cAYPKGPshMzES/qRF48gnzvj4PRSH+g5XwGvkQBjY6YrmjLfXqAX36lF6PiKgSYTBCFcJFYxyrsX5VIbzu7oGuZ/+HwZONt1+urVXTpw9gSL2MXBi/rOs28karVpbHqt2hsen5srXKQScBAUCr1hp4+VufgaKt7Wa1fENaZ4uykb/0L7lTdujQxXIw6x/njQNta9W2cktCo4F3uDFXTHgPZXKyKdOMbf8L9yBx0VaLXYmIqgsGI1Qh2jQ2rseyDENMC9VtxR0AgPnzgblzgW97LsAf9Z6GwAlumiLUbWA9f0p4Iw2+/hpYvhxo2dJqFdOA12taBhun0Q6d0c5KbaCLc5zi9bT2v8PJz8dqXUcMfP82m9u07iX/unnWVo6BWXl1gOn5I6MtF/EjIqouGIxQhQh3t7EibXExfHyAZ54B3n9HjwfxOwCggZyDSwnruY0bBzz0kP3n33vSD8ePA93usEzVDgCvT1HevgluaP0KiqM0zrZ/pfSWE3ssWEvABgDxBhtRGBFRNcBghCrEybwQq+V5p42DVfO+/A7fYoyp/DSaWK1fVrVqAc1KSNfh30k5CLVDpPWgpTzpi0ufwNq4mfVfySc72DedmIioKmIwQhXioRetT5Gd2+IzFPz4K2q9MFpR/urTZZ/Oes2zA88AANydi0quCKBRjyDF6zaDGtuo6bgd38bjP3UsF+Wz58pIrTrWx7446Ute30YViYmAuzvwggPJ1YqLlW9E8b9Tte15c4io2mIwQhWi/3DrC7i9gk/RYUR7i/KJr5Zwj8ZOHy4Jx4w3cnHgiGupdV0Db5g+3Kq+jZqOixzdGtHpnSzK7x9tfaXh69Vpan3hw9yCSvarmpCAS40j0LMwGvO+LALefrv0ffLzjZer/vMfc9nuXcZ/MzMropVEVEVUsv/hqLpwczOu0vvQ4KtY/JNyuuv1i8Jd4xty87dJvLyAKe/VQvMW9iXSmhc4FY9gGTIeeRolDlgpJ2ED25ZaJ7Cp9dWIk9Iq/jaS3URwtmVfBOESdqAnxmEe5k5PLX2/6Gi8e+Zx/HdrC8Bg/Jk4d8Z4ReQMwiuwwURU2WlEpNJnYs7KyoKPjw90Oh28b8wnTlXCI3dcwvKtgTa3q/JTePEikJEBtC09SCiLMJfzSNIbU7K/3vgXvH9qqF37jWgegx9PRCrKQjQXccFgfRzOrSajnoTTwgWW5aV8hntmbED3N+421j15CmjSBI01p5D473ihyv8/ERE5yt7vb14ZoVvik/9WwiAyJKTCAhEAGNLAvNLvezFRdu9374tNAQDursU4vsc4luaihOCNhj/gAe9orJmwoXwb6qBnFkZY31DKrZoz581Xn7L3HAMAXETlCLCISF0MRuiWCGvhjtB6loMwH34Y2LNHhQbdAtPXRuC7jl8g+bcYaAKtj6Gx5uFxAfj7b+DcRRc07WwO4macG4EV2X0wcPbdFdFc+xgM+C+etrrpvenFgM72QOSCK/mm5xtPGtPuF8J6bhkiqlkYjNAtc+y4MqnXWx1X4tdfga5dVWpQBfNoGYYn97+A4AciS698HScnY3Zaf39A41Q5FpKThYugaxmB4ndm2KzzFt6DLjnP5vaMy+YZM37aPPNMGiKq8coUjMyZMwfh4eFwd3dHREQEdu/eXWL92bNno0WLFvDw8EBoaCgmTJiAgoKCMjWYqi5PL+WP29H8cHUaUsU83MYyEVpWYvqta0B8PF4alQnfhF24Y7pybaBON0wayk2/7vc6ORm4fNn0Mu2KORgtyCyAXMk0vfZCyQsqElH15nAwsnTpUkycOBHTpk3Dvn370KFDB/Tr1w+XLl2yWn/x4sWYPHkypk2bhqNHj+K7777D0qVL8frrr99046nq6dXC/HMyZZbtAa1ktuxQa4uy5o2v4s+hi5EZe6piT56fj6/afI0v8CIAYAd6mjZt+CoB+27IxZab9u+tmLw85IU0QWFgA9PMmSu55inX+TNmITvQnNvFVVMJ86gQ0S3jcDAya9YsjBkzBqNGjULr1q0xb948eHp6YsECy9H1ALBjxw707NkTjz32GMLDw9G3b18MHTq01KspVD3N/8Y8zbdpV1/1GlKFaKzcqUlFMAYveQz9u6aVfoD8fOwdOA3pC/+03GZrCkt2NvDpp7jy5zY8j6+sVvGta7zSMXWSeSxIdlohAKDobDJCcBHhOAPJNl71yMk3Xxm5H39gAP4yvXaGcvo3EdUsDgUjRUVFiI2NRVSUeWaAk5MToqKiEBMTY3Wf2267DbGxsabg4/Tp01izZg3uuecem+cpLCxEVlaW4kHVQ9Pbg9Gj/jn0bZ6I2gHWs42S/XbBxsyW68S8/ie6rZmOtqOUg3OKjyTgXaep2PXEXHNhWhqO9nkOa7yHQPPKy7hviNbmcbVuxkBm8nTzINScDGP226QPf4EOvkhBPWSfyzRuK1Amo7v+KgsR1WwOZXpKS0uDXq9HUJAylXZQUBCOHTtmdZ/HHnsMaWlpuP322yEiKC4uxjPPPFPibZqZM2di+vTpjjSNqghnZ2DHuVCrf+1T+ds64lvc8eNTAIAU1DPeMvl3iePwtrVwAe9i6iJAFhrrb5sejV4bzVdC/kFvm8d2CjVmrfXwALp4HUNsTkvkZBYDW7fi40Xm2UNXjl+Gt3Muci7l2jwWU4wQ1WwVPptm8+bNmDFjBr7++mvs27cPv/32G1avXo13333X5j5TpkyBTqczPc6dO1fRzaRbiIFI+dIX2B5vcS0Queb3B34AAGTHn8MFNLCo/9s2+8fxtOxszgrr5Wq8IpJ9pRgb7nhXMf332EOv42TrQViH/nYfm4hqFoeCEX9/fzg7OyM1VZn6OTU1FcHBwVb3eeuttzB8+HA89dRTaNeuHR544AHMmDEDM2fOhMFg/T6xVquFt7e34kFUk/36wGIAwGNYbLFt9gObzS/S041rwADIOnrBou6DK58AABzdcUW54dAhFH3yBdIOWu4DAO9GrEJ9N/Pg48jgRDhfN1PbS2sMiHISzqMvlEnZ+mMdmuGk1eMSEQEOBiNubm7o0qULoqOjTWUGgwHR0dGIjLSeSyEvLw9OTsrTOP/7v1gVyERPVCk8vOxR5GyIwc8FD1ls+3mL8QqHpGfgLf+v8X3QZADAueP5FnUBYJDmT0SMUS5WqGnfDtpJL+BHw+NW9zmT5Yf77jSP3br/hrEkLhnGQGXWxo72dYiI6DoO36aZOHEi5s+fj0WLFuHo0aMYN24ccnNzMWrUKADAiBEjMGXKFFP9QYMGYe7cuViyZAkSExOxYcMGvPXWWxg0aJApKCGiUri4oFZUJKDVYvW4VYpN+/NbASLY8OoGvIe38GT254AIDEXWk4qtwiCHT+8d6IEp3zVFh/aCHp2LMP59ZRr3P4oGAADi0abUY6WlAe+953ATiKgac3ip0iFDhuDy5cuYOnUqUlJS0LFjR6xdu9Y0qDUpKUlxJeTNN9+ERqPBm2++iQsXLiAgIACDBg3C+++/X369IKpBBnzeH5irLHvN80v8VjDA9FqfV4jcjMJyO+czX7ZBgwZA3AENALcyH6dNsyLUreuGN94Adu8oxso1Fb9aMhFVfly1l6gKkowrGNUqBosuWZ8if+X4Zez59Qz6vtGtfM5Xyv8SvVtewj8JloNfXx6Xh0/nmge6XroEBPw70SY/H3ioxSH8da4d6mrSkWaoWy5tJaLKg6v2ElVjmjp+eOZdy9kw12Ql5yLninFQqZdTLqaPPG21XhNt+cxU+/mvOhZlu3YB73/mqSgLuG69QA8PoKFXRrmcn4iqNgYjRFVU23vDbW7LSsnD3pUXAQBhcgZTFza2Wm/R17YXtrtmSKfjpdZpEG55u6V7d0BrO2caEZEJb9gSVVFeIbYvea4etwozM14BAGQ4+VtsfzR4Cx4b5oSeT/YCRts+x6GDgmbNm5faljLnjmHSGSICr4wQVWl7llq//TI541XIv7/eQ3udBwBsmPoPAOCP8euxNPkO3PdJL4v9RneMVbxu205j99WNEA/zLZcv3zHnMdHC9grdGuZeJSIwGCGq0ro+2hiRtQ+XWCfqbuOvedT0XhABBn/VV7HdD8Yg4k7vfZi/r0uZ2zL1AXM7nn3d1/R8WL90Y1vDL5f52ERUvTEYIari3p5W8tUF/4aeJW6PWXEJE1qvw5JNQdBogHFttgIAXuiwxaF2tOptHp3q5Gy+/TL71/qYP0+P1bsCrO1GRMSpvURVnRhE8eV/o9PbLqJRzxCb229UlFOEnd8fRY9RreDmZX9OERHgm2cPoOOdvugxJMyufca12YJ58Xdwai9RNWXv9zcHsBJVcRonDYoL9fig/2b8GlMfBwpaKrb7t7Z/8TsAcPNyQ+/nOzjeDg3wzFzH9yMi4m0aomrA2c0Zb2zsg3s6p1ps8/Ll3xxEVLkxGCGqRo4cd7Uo4+xZIqrsGIwQVSMx6cqcIHsWHlGpJURE9mMwQlSN9Awx5x05H3MOXUeWvoquuoyXbQS8fENUkzEYIapGPllkHqwa3Kmeii2xD5OeERHA2TRE1UqTPuFY/+YW1A2rDWdtZ7WbQ0RkFwYjRNXM3e/eoXYTiIgcwts0REREpCoGI0RERKQqBiNEpBrmQCEigMEIERERqYzBCBEREamKwQgRERGpisEIERERqYrBCBEREamKwQgRERGpisEIERERqYrBCBEREamKwQgRERGpisEIEalOwFSsRDUZgxEiUo2G/wMRERiMEJGKeD2EiAAGI0RERKQyBiNERESkKgYjREREpCoGI0RERKQqBiNERESkKgYjREREpCoGI0RERKQqBiNERESkKgYjRKQajUbUbgIRVQIMRoiIiEhVDEaIiIhIVQxGiIiISFUMRoiIiEhVDEaIiIhIVQxGiIiISFUMRoiIiEhVDEaISD0aDQCA2UaIajYGI0SkGg3DECICgxEiqgxEo3YLiEhFDEaIiIhIVQxGiIiISFVlCkbmzJmD8PBwuLu7IyIiArt37y6xfmZmJsaPH4969epBq9WiefPmWLNmTZkaTERERNWLi6M7LF26FBMnTsS8efMQERGB2bNno1+/fkhISEBgYKBF/aKiItx9990IDAzE8uXLUb9+fZw9exa+vr7l0X4iIiKq4hwORmbNmoUxY8Zg1KhRAIB58+Zh9erVWLBgASZPnmxRf8GCBcjIyMCOHTvg6uoKAAgPD7+5VhMREVG14dBtmqKiIsTGxiIqKsp8ACcnREVFISYmxuo+K1euRGRkJMaPH4+goCC0bdsWM2bMgF6vt3mewsJCZGVlKR5ERERUPTkUjKSlpUGv1yMoKEhRHhQUhJSUFKv7nD59GsuXL4der8eaNWvw1ltv4dNPP8V7771n8zwzZ86Ej4+P6REaGupIM4moqtBwSi8R3YLZNAaDAYGBgfjvf/+LLl26YMiQIXjjjTcwb948m/tMmTIFOp3O9Dh37lxFN5OIVMCkZ0QEODhmxN/fH87OzkhNTVWUp6amIjg42Oo+9erVg6urK5ydnU1lrVq1QkpKCoqKiuDm5maxj1arhVardaRpREREVEU5dGXEzc0NXbp0QXR0tKnMYDAgOjoakZGRVvfp2bMnTp48CYPBYCo7fvw46tWrZzUQISIioprF4ds0EydOxPz587Fo0SIcPXoU48aNQ25urml2zYgRIzBlyhRT/XHjxiEjIwMvvvgijh8/jtWrV2PGjBkYP358+fWCiKokjhghIqAMU3uHDBmCy5cvY+rUqUhJSUHHjh2xdu1a06DWpKQkODmZY5zQ0FCsW7cOEyZMQPv27VG/fn28+OKLeO2118qvF0RERFRlaUSk0o8gy8rKgo+PD3Q6Hby9vdVuDhGVkwmdNmN23J3wRSauiK/azSGicmbv9zfXpiEiIiJVMRghIiIiVTEYISLVVfp7xURUoRiMEBERkaoYjBAREZGqGIwQERGRqhiMEBERkaoYjBBRJcBcrEQ1GYMRIlKNhjEIEYHBCBEREamMwQgRqYeXRogIDEaISEUapjsjIjAYISIiIpUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEi9fyb84zZRohqNgYjRKQa5l8lIoDBCBEREamMwQgRERGpisEIERERqYrBCBEREamKwQgRERGpisEIERERqYrBCBEREamKwQgRqYeJRogIDEaISEUa5l4lIjAYISIiIpUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEi9WiuZT1j9jOimozBCBGphknPiAhgMEJEREQqYzBCRKrRaHh7hogYjBAREZHKGIwQERGRqhiMEBERkaoYjBAREZGqGIwQERGRqhiMEJHqmG2EqGZjMEJEKmIYQkQMRoiIiEhlDEaIiIhIVWUKRubMmYPw8HC4u7sjIiICu3fvtmu/JUuWQKPR4P777y/LaYmommECViICyhCMLF26FBMnTsS0adOwb98+dOjQAf369cOlS5dK3O/MmTN45ZVX0KtXrzI3loiIiKofh4ORWbNmYcyYMRg1ahRat26NefPmwdPTEwsWLLC5j16vx7BhwzB9+nQ0btz4phpMRERE1YtDwUhRURFiY2MRFRVlPoCTE6KiohATE2Nzv3feeQeBgYEYPXq0XecpLCxEVlaW4kFERETVk0PBSFpaGvR6PYKCghTlQUFBSElJsbrPtm3b8N1332H+/Pl2n2fmzJnw8fExPUJDQx1pJhFVORw8QlSTVehsmuzsbAwfPhzz58+Hv7+/3ftNmTIFOp3O9Dh37lwFtpKI1MIQhIgAwMWRyv7+/nB2dkZqaqqiPDU1FcHBwRb1T506hTNnzmDQoEGmMoPBYDyxiwsSEhLQpEkTi/20Wi20Wq0jTSMiIqIqyqErI25ubujSpQuio6NNZQaDAdHR0YiMjLSo37JlSxw6dAhxcXGmx+DBg3HXXXchLi6Ot1+IiIjIsSsjADBx4kSMHDkSXbt2Rffu3TF79mzk5uZi1KhRAIARI0agfv36mDlzJtzd3dG2bVvF/r6+vgBgUU5EREQ1k8PByJAhQ3D58mVMnToVKSkp6NixI9auXWsa1JqUlAQnJyZ2JSIiIvtoRKTSr1SVlZUFHx8f6HQ6eHt7q90cIionU3pswge77kJtZCNLaqvdHCIqZ/Z+f/MSBhGph9NpiAgMRoiIiEhlDEaISHWV/l4xEVUoBiNEpBqu2ktEAIMRIiIiUhmDESIiIlIVgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiIiJSFYMRIiIiUhWDESJSjcbKMyKqeRiMEJF6GIMQERiMEBERkcoYjBAREZGqGIwQERGRqhiMEBERkaoYjBAREZGqGIwQERGRqhiMEBERkaoYjBCR6kTtBhCRqhiMEJFqnJyY9YyIGIwQERGRyhiMEBERkaoYjBAREZGqGIwQERGRqhiMEBERkaoYjBAREZGqGIwQERGRqhiMEBERkaoYjBCRajTMeUZEYDBCREREKmMwQkQq4qo0RMRghIiIiFTGYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiFTDPCNEBDAYISIiIpUxGCEiIiJVMRghokqA92uIajIGI0SkGg0HjRARGIwQERGRyhiMEBERkaoYjBAREZGqGIwQkeq4di9RzcZghIhUxDCEiBiMEBERkcoYjBAREZGqyhSMzJkzB+Hh4XB3d0dERAR2795ts+78+fPRq1cv+Pn5wc/PD1FRUSXWJyIioprF4WBk6dKlmDhxIqZNm4Z9+/ahQ4cO6NevHy5dumS1/ubNmzF06FBs2rQJMTExCA0NRd++fXHhwoWbbjwRERFVfRoRcWgEWUREBLp164avvvoKAGAwGBAaGornn38ekydPLnV/vV4PPz8/fPXVVxgxYoRd58zKyoKPjw90Oh28vb0daS4RVWJv37kJ07fcBU/kIldqqd0cIipn9n5/O3RlpKioCLGxsYiKijIfwMkJUVFRiImJsesYeXl5uHr1KurUqePIqYmoGmI2eCICABdHKqelpUGv1yMoKEhRHhQUhGPHjtl1jNdeew0hISGKgOZGhYWFKCwsNL3OyspypJlERERUhdzS2TQffPABlixZgt9//x3u7u42682cORM+Pj6mR2ho6C1sJREREd1KDgUj/v7+cHZ2RmpqqqI8NTUVwcHBJe77ySef4IMPPsD69evRvn37EutOmTIFOp3O9Dh37pwjzSSiKoJ3aYgIcDAYcXNzQ5cuXRAdHW0qMxgMiI6ORmRkpM39PvroI7z77rtYu3YtunbtWup5tFotvL29FQ8iIiKqnhwaMwIAEydOxMiRI9G1a1d0794ds2fPRm5uLkaNGgUAGDFiBOrXr4+ZM2cCAD788ENMnToVixcvRnh4OFJSUgAAXl5e8PLyKseuEBERUVXkcDAyZMgQXL58GVOnTkVKSgo6duyItWvXmga1JiUlwcnJfMFl7ty5KCoqwsMPP6w4zrRp0/D222/fXOuJiIioynM4z4gamGeEqHp6565NmLaZeUaIqqsKyTNCREREVN4YjBAREZGqGIwQERGRqhiMEJF6NBZPiKgGYjBCRKrh2jREBDAYISIiIpUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEiIiJVMRghIiIiVTEYISIiIlUxGCEiFRkTjVT61TqJqEIxGCEi1ThpGIYQEYMRIiIiUhmDESIiIlIVgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiIiJSFYMRIiIiUhWDESJSj0btBhBRZcBghIiIiFTFYISIiIhUxWCEiFSj4W0aIgKDESIiIlIZgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiqgQ4kpWoJmMwQkSq0XA6DRGBwQgRERGpjMEIERERqYrBCBGpTtRuABGpisEIEamIYQgRMRghIiIilTEYISIiIlUxGCEiIiJVMRghIiIiVTEYISLVMOcZEQEMRoiIiEhlDEaIiIhIVQxGiIiISFUMRoiIiEhVDEaIiIhIVQxGiEg1Gk6nISIwGCEiIiKVMRghIqJylXIgFZlnMtVuBlUhDEaISDW8S6OuhNgcJB0vsCgXAVKSy7aisu5sJup1DIJfI9+bbF3Fe7LrAXStm4irhQa1m+KYvDwYTpxSuxXlisEIEVVqGaeu4PuntiM7OafMxzibUIATcbnQFwt0aVcBAGIQbPvmCJ5sHYO4/51Cdqbe4eOmHM9Cr4Cj+OnVgzbrXNhzEWKw74s9+ssj2PrNUYfbcY295wGAPRsy0bKrF8JauFtse7p3POqFaPDbJ6ftOtb2H06hf+hhJGxJwbG/z5epPQBQkJaD4rwizHokBpvmxDu0b2nyz6fj6hXlz9D3sR0Qm9EIG784XK7nKpPiYsBgX1A0IfgXhDSvhUsbDpTtXIWF0CcmlW3fiiJVgE6nEwCi0+nUbgoRlaMPB2wSQMQdeSIiUlxwVeYN3SyfP7pN7m93UuZNuyD/8YsVQGRo2Darx8jPF7mYoJNHGu6UP9/eK7MGrJfGzomSn54rIiJXiwxi/FtfpHXtswKI/PRmvEzqvslUfu1x8K/zNts6ofdeef+hvTJ7RKy08TwtZ3clK/aNDDghWTqDYp/vR/8jgEhd5wwJ80iRfasuSGHuVRERSTygk5+f2yGH/0kXERHd+SzTsY78dVZGdDkkbz94QIa12ivfPB0rV69atik14YosemaHDA6MkX/mxElz19MSFRAnn44+LHnZxfLzawekicd5ObAqyWLf69uee6VQDMV6ERH55Wnz+9Jae0K5k8HYv9f/EyOfPRFnatO1+rU0OfJa5BbT668fjrY4787vDsvRNaeNn132VYn58YQUXzVITnKWeCJHGjslmvYXEZnz7GFpXvuC7FmfLtnZIlJQIGIwyJm/T8iFHWekb53dAohsmxMnPzy3S6LqxsrRlcfFoDdITmqOiIhknkoTP6RLA43x8100Lka61443nWfN9N1y6VCKfDloneybt0sKM3JM7d323TH5acJe0+uYj7bKmpfWKfpUlJkrX/X5TeJ/3CtFlzNFiopM27LPpsv5radkZL218kqzFWLIybV4TwyFRfKo12p5MXiJqezDrsvkcb8/RZ9fKJKfL7t+PiFxS44q3u+eHnstjiV6vejWxYhBlyW75saKjyZTOtdOkPREnRiKrsqPD/4mffGX1EGaXFh70HL/cmbv93eZgpGvvvpKwsLCRKvVSvfu3WXXrl0l1l+2bJm0aNFCtFqttG3bVlavXu3Q+RiMEFVP14IRQOSPV7ZIB88EiwDh+seUISdlyl07pKlLokQEnZaX+sdLXc/cEvdx9DGy4d/y6/Nb5PEWu+SN7utk5tADMqrJZrv2beCSLIuf2y4Tu22V83GXxRPKttV1yhBnFEmvwKOK8l6BxyTQ6XKJxw71SJW4VefEEzkCiMwevlfqatJt1n+o2X7Tc1+XLIn+dL8832GzdHA/JuknLPfzRI78MGaLoizcOUme67BFLsQmS2FWgcU+zrgqMYtPl9juem5p8vf8k1JUoJe5o3ebygcF7iz1/WzmnWJR1hgnZZDHBotyL2QpXkd6HRAvZMnyV3ZIfaeLpvJgl0ulntcTOTK++Xo5vvq4qWzXjwmyff4R0+ux9VbKne47ZNmoNTK7/19WjzO+8RoJwkVFmSsKZUHUz1KclSsrnvpT/nntT9n3w0HT9kkt/5C8CxnX9feEYv9OHvGK1x3cj8pPL+6S7CNn5dB3u6SP80arbRkWulnG1F2uKLsnYJeMqLdeHg7YLMVF+gr5Ha+wYGTJkiXi5uYmCxYskCNHjsiYMWPE19dXUlNTrdbfvn27ODs7y0cffSTx8fHy5ptviqurqxw6dMjuczIYIaqerg9G+Lh1Dx9NpkP1XVAkWuSr3u7K+minPaZ6G272Eel1oEJ+x+39/taIiDhyWyciIgLdunXDV199BQAwGAwIDQ3F888/j8mTJ1vUHzJkCHJzc7Fq1SpTWY8ePdCxY0fMmzfPrnNmZWXBx8cHOp0O3t7ejjSXiCqxmf024fX1d6ndDCICcCk+DQGt/Mv1mPZ+fzs0gLWoqAixsbGIiooyH8DJCVFRUYiJibG6T0xMjKI+APTr189mfQAoLCxEVlaW4kFE1c+qmLpqN4GI/rXtp0TVzu1QMJKWlga9Xo+goCBFeVBQEFJSUqzuk5KS4lB9AJg5cyZ8fHxMj9DQUEeaSURVRGCtXLWbQET/OnNQvT/8K+XU3ilTpkCn05ke586dU7tJRFQBRo2sYvkdiKqxCX/2Ue3cDgUj/v7+cHZ2RmpqqqI8NTUVwcHBVvcJDg52qD4AaLVaeHt7Kx5EVP10ebSp2k2oMIODdqndBCK7eCAPqceuqNoGh4IRNzc3dOnSBdHR0aYyg8GA6OhoREZGWt0nMjJSUR8ANmzYYLM+EdUc7n4eFmV3hJzAyw+fwSM9KllSpuvU1aSbnj/RaAtGhm22qPNHSgQCndMAAF2c9pd6zFCXZMXrJtpzCHe7YLXug2GxFmVDwnfixZ57cGKvDm/du89U7q9Jw7j22zF98F6LfT4aecT0fGzzTVjz9m4MCdtZalutcYLtpHElbbteG+1JxesVb8UiIykHIkC2znwVrX/d3abndzRKsppFtiQhzuY/kJu7JWLLBzGI8LSeuO7h+rbHN5Zm+3O/4MqRi5jUahW+7b8cc3v9jCj8jfilBzGpzRqM9llW4v4vBC0xPZ//4F8W2wf7bYGh2IBF9/6qKJ+AWeiFLabXLbWJcEeexf6G7Fyc+nkncovcENjCz9HulS9Hp+ksWbJEtFqtLFy4UOLj42Xs2LHi6+srKSkpIiIyfPhwmTx5sqn+9u3bxcXFRT755BM5evSoTJs2jVN7iUhEjDm02nkcFw30pimGh38/btr+yrgcub1zruj1IjmX82Tzhzvl1Tt3KaYknjmonKb65Stn5OA2neTkiCz5NluxraPvaXmy8Ua5fChZ/i9su81pjvG/HZXD68/Lwo9TZXjzneKDK/LT6GgZHr5V3uq9WQwGkQMrTkvcb6dERORq/lWLY4gYk4ldPJIhIiJnDmTKs913y6xHYyzq/vDiXtEXG2Rkmz3yUq89Mq5nnFxJzhfdOZ38/Ow2ybqQJWkXCqR7UKLMHntEREQu7zbn97hyKl3xvm79Ms607ZvHNpvKCwtFjq44Jv99bKNsXn5Z9HqRTR/slOUvbFbsn6UzyKNdTkgD12TZ98Mh+f6JTabjrXw9Rn4Y+4+sn3VIGrpekHUfH5C0k1ckJfa8ACKDfLfKji92K/r3/aRDpue/PL9d8tNzpRaMn40GxQKIDG+xU0REenvvV7yH19v+3kZZcO//5LPRhyzqFOUXS+b5bCkuLLZ4f3vUOiDHo5Pk9NZzsuWLOCnIKpRXu2+UTZ/tN+3/2yvbTPXzL5t/bhaPMeft+OWeRfJh20Xydvv/ib6gSIrTM+X0dxtFCgslN/6M7Jn6h4QhURbd/5spQVyp9HoxFBZJoMac/6TozAXjtuJiOTbnbylIvChiMMgfo/+Qg5/9LetfWStDfNbI5dizikOd/3Gj5Ow9ai4wGCTl2BXRFxvEcDlN8rftlenNfxJAxA0F9rXvJlVo0rMvv/xSGjZsKG5ubtK9e3fZuXOnadsdd9whI0eOVNRftmyZNG/eXNzc3KRNmzZMekZEZgaDFJ1Lkdudtkl7xMnVrLwSqxcWivTtlCpdah+TF5qvERHzl8745uss6t9R56ApELHm+i+tL/qskLOrypaV8toxPoxaJ9s+t5IZ8zp5yZmSflkveXliNbOqvYrOXhRDXr5F+e5liab2nN6RXPYT3KA4v6j0Sv/q6mlMENZWawwuj2y/IgX55i/o4vwiOTZ/q6TvPS0xv5yWwnxj0q1D/0uQdtoEWf7yDpvHLio0yHtjz8qu9ZkW2wx6c8bdsY03SGfXA5K0xfpnf+N+u+fHie7sFRERWTgiWt6+bZ2IwSALH1op61/7276O51pmWLXHDyOMidyGhWws0/72Kki5It/c8bOc/rXkn9HyUmF5RtTAPCNE1Z9k50CK9XDy83F437n3rcVP6wPw5/5Q1GkZqNiWfiYbKz48hkemtoZ3vVoW+16/WN/N/G+4bMwGXLpwFc+tuafsByknIsCDHU7Cx8uAhTuaq9KGC3uTMeeFBIz7rDlCI0Ju6bmvfaaJm84g/M7wW3ruMhPB6T+PICyqGZw9tWq3ptzY+/3NYISIarRrX1wBzum4VMy8J9VB9Nv/ICO5AI98c7faTanx7P3+drmFbSIiqrRW/KEpvRJVCX3e7qV2E8hBDEaIqEbbua0Yp44V4baBddRuClGNxWCEiGq0iJ4uiOjJ/wqJ1FQpM7ASERFRzcFghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVFUllqoUEQBAVlaWyi0hIiIie1373r72PW5LlQhGsrOzAQChoaEqt4SIiIgclZ2dDR8fH5vbNVJauFIJGAwGXLx4EbVr14ZGoym342ZlZSE0NBTnzp2Dt7d3uR23MqnufWT/qr7q3sfq3j+g+veR/Ss7EUF2djZCQkLg5GR7ZEiVuDLi5OSEBg0aVNjxvb29q+UP2PWqex/Zv6qvuvexuvcPqP59ZP/KpqQrItdwACsRERGpisEIERERqapGByNarRbTpk2DVqtVuykVprr3kf2r+qp7H6t7/4Dq30f2r+JViQGsREREVH3V6CsjREREpD4GI0RERKQqBiNERESkKgYjREREpKoaHYzMmTMH4eHhcHd3R0REBHbv3q12k+zy9ttvQ6PRKB4tW7Y0bS8oKMD48eNRt25deHl54aGHHkJqaqriGElJSRg4cCA8PT0RGBiISZMmobi4+FZ3BQCwdetWDBo0CCEhIdBoNFixYoViu4hg6tSpqFevHjw8PBAVFYUTJ04o6mRkZGDYsGHw9vaGr68vRo8ejZycHEWdgwcPolevXnB3d0doaCg++uijiu4agNL798QTT1h8nv3791fUqcz9mzlzJrp164batWsjMDAQ999/PxISEhR1yutncvPmzejcuTO0Wi2aNm2KhQsXVnT3ANjXxzvvvNPic3zmmWcUdSprH+fOnYv27dubkl5FRkbir7/+Mm2v6p9faf2ryp+dNR988AE0Gg1eeuklU1ml/wylhlqyZIm4ubnJggUL5MiRIzJmzBjx9fWV1NRUtZtWqmnTpkmbNm0kOTnZ9Lh8+bJp+zPPPCOhoaESHR0te/fulR49eshtt91m2l5cXCxt27aVqKgo2b9/v6xZs0b8/f1lypQpanRH1qxZI2+88Yb89ttvAkB+//13xfYPPvhAfHx8ZMWKFXLgwAEZPHiwNGrUSPLz8011+vfvLx06dJCdO3fKP//8I02bNpWhQ4eatut0OgkKCpJhw4bJ4cOH5ZdffhEPDw/55ptvVO/fyJEjpX///orPMyMjQ1GnMvevX79+8v3338vhw4clLi5O7rnnHmnYsKHk5OSY6pTHz+Tp06fF09NTJk6cKPHx8fLll1+Ks7OzrF27tlL08Y477pAxY8YoPkedTlcl+rhy5UpZvXq1HD9+XBISEuT1118XV1dXOXz4sIhU/c+vtP5V5c/uRrt375bw8HBp3769vPjii6byyv4Z1thgpHv37jJ+/HjTa71eLyEhITJz5kwVW2WfadOmSYcOHaxuy8zMFFdXV/n1119NZUePHhUAEhMTIyLGL0cnJydJSUkx1Zk7d654e3tLYWFhhba9NDd+WRsMBgkODpaPP/7YVJaZmSlarVZ++eUXERGJj48XALJnzx5Tnb/++ks0Go1cuHBBRES+/vpr8fPzU/TvtddekxYtWlRwj5RsBSP33XefzX2qUv9ERC5duiQAZMuWLSJSfj+Tr776qrRp00ZxriFDhki/fv0quksWbuyjiPEL7fr//G9U1fro5+cn3377bbX8/ETM/ROpPp9ddna2NGvWTDZs2KDoU1X4DGvkbZqioiLExsYiKirKVObk5ISoqCjExMSo2DL7nThxAiEhIWjcuDGGDRuGpKQkAEBsbCyuXr2q6FvLli3RsGFDU99iYmLQrl07BAUFmer069cPWVlZOHLkyK3tSCkSExORkpKi6I+Pjw8iIiIU/fH19UXXrl1NdaKiouDk5IRdu3aZ6vTu3Rtubm6mOv369UNCQgKuXLlyi3pj2+bNmxEYGIgWLVpg3LhxSE9PN22rav3T6XQAgDp16gAov5/JmJgYxTGu1VHjd/bGPl7z888/w9/fH23btsWUKVOQl5dn2lZV+qjX67FkyRLk5uYiMjKy2n1+N/bvmurw2Y0fPx4DBw60aEdV+AyrxEJ55S0tLQ16vV7xpgNAUFAQjh07plKr7BcREYGFCxeiRYsWSE5OxvTp09GrVy8cPnwYKSkpcHNzg6+vr2KfoKAgpKSkAABSUlKs9v3atsrkWnustff6/gQGBiq2u7i4oE6dOoo6jRo1sjjGtW1+fn4V0n579O/fHw8++CAaNWqEU6dO4fXXX8eAAQMQExMDZ2fnKtU/g8GAl156CT179kTbtm1N5y+Pn0lbdbKyspCfnw8PD4+K6JIFa30EgMceewxhYWEICQnBwYMH8dprryEhIQG//fZbie2/tq2kOreij4cOHUJkZCQKCgrg5eWF33//Ha1bt0ZcXFy1+Pxs9Q+o+p8dACxZsgT79u3Dnj17LLZVhd/BGhmMVHUDBgwwPW/fvj0iIiIQFhaGZcuW3bL/kKn8/N///Z/pebt27dC+fXs0adIEmzdvRp8+fVRsmePGjx+Pw4cPY9u2bWo3pcLY6uPYsWNNz9u1a4d69eqhT58+OHXqFJo0aXKrm+mwFi1aIC4uDjqdDsuXL8fIkSOxZcsWtZtVbmz1r3Xr1lX+szt37hxefPFFbNiwAe7u7mo3p0xq5G0af39/ODs7W4wkTk1NRXBwsEqtKjtfX180b94cJ0+eRHBwMIqKipCZmamoc33fgoODrfb92rbK5Fp7SvqsgoODcenSJcX24uJiZGRkVMk+N27cGP7+/jh58iSAqtO/5557DqtWrcKmTZvQoEEDU3l5/UzaquPt7X3LgnBbfbQmIiICABSfY2Xuo5ubG5o2bYouXbpg5syZ6NChAz7//PNq8/nZ6p81Ve2zi42NxaVLl9C5c2e4uLjAxcUFW7ZswRdffAEXFxcEBQVV+s+wRgYjbm5u6NKlC6Kjo01lBoMB0dHRinuIVUVOTg5OnTqFevXqoUuXLnB1dVX0LSEhAUlJSaa+RUZG4tChQ4ovuA0bNsDb29t02bKyaNSoEYKDgxX9ycrKwq5duxT9yczMRGxsrKnOxo0bYTAYTP+pREZGYuvWrbh69aqpzoYNG9CiRQtVb9FYc/78eaSnp6NevXoAKn//RATPPfccfv/9d2zcuNHidlF5/UxGRkYqjnGtzq34nS2tj9bExcUBgOJzrMx9vJHBYEBhYWG1+PysudY/a6raZ9enTx8cOnQIcXFxpkfXrl0xbNgw0/NK/xne9BDYKmrJkiWi1Wpl4cKFEh8fL2PHjhVfX1/FSOLK6uWXX5bNmzdLYmKibN++XaKiosTf318uXbokIsYpXA0bNpSNGzfK3r17JTIyUiIjI037X5vC1bdvX4mLi5O1a9dKQECAalN7s7OzZf/+/bJ//34BILNmzZL9+/fL2bNnRcQ4tdfX11f++OMPOXjwoNx3331Wp/Z26tRJdu3aJdu2bZNmzZoppr5mZmZKUFCQDB8+XA4fPixLliwRT0/PWzL1taT+ZWdnyyuvvCIxMTGSmJgof//9t3Tu3FmaNWsmBQUFVaJ/48aNEx8fH9m8ebNiamReXp6pTnn8TF6bVjhp0iQ5evSozJkz55ZNnSytjydPnpR33nlH9u7dK4mJifLHH39I48aNpXfv3lWij5MnT5YtW7ZIYmKiHDx4UCZPniwajUbWr18vIlX/8yupf1X9s7PlxhlClf0zrLHBiIjIl19+KQ0bNhQ3Nzfp3r277Ny5U+0m2WXIkCFSr149cXNzk/r168uQIUPk5MmTpu35+fny7LPPip+fn3h6esoDDzwgycnJimOcOXNGBgwYIB4eHuLv7y8vv/yyXL169VZ3RURENm3aJAAsHiNHjhQR4/Tet956S4KCgkSr1UqfPn0kISFBcYz09HQZOnSoeHl5ibe3t4waNUqys7MVdQ4cOCC33367aLVaqV+/vnzwwQeq9y8vL0/69u0rAQEB4urqKmFhYTJmzBiLoLgy989a3wDI999/b6pTXj+TmzZtko4dO4qbm5s0btxYcY6KVFofk5KSpHfv3lKnTh3RarXStGlTmTRpkiJXRWXu45NPPilhYWHi5uYmAQEB0qdPH1MgIlL1P7+S+lfVPztbbgxGKvtnqBERufnrK0RERERlUyPHjBAREVHlwWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFTFYISIiIhUxWCEiIiIVMVghIiIiFT1/2DrCjEIdq2mAAAAAElFTkSuQmCC\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[ 4.85657607e-01, 1.53463477e-01, -8.13733774e-02,\n",
" 4.30116060e-02, 2.13171728e-02, 9.27231815e-02,\n",
" -1.18125486e-01, -5.41191094e-02, -7.07434629e-02,\n",
" -3.44351186e-02, -7.56722641e-02, -4.29996903e-02,\n",
" 8.69214048e-02, -4.76739945e-02, -4.14200018e-03,\n",
" 6.39691419e-02, -1.33381371e-02, 8.80087512e-03,\n",
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" -2.84451367e-02, -3.61978570e-02, -4.75215347e-02,\n",
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" -2.90002096e-02, 2.70289743e-02, -3.88625295e-02,\n",
" -3.05702974e-02, 7.85276406e-02, 3.87267650e-02,\n",
" 3.94621357e-02, -6.55083131e-03, 1.24784093e-02,\n",
" 4.85178792e-03, 7.25575310e-04, 3.03172514e-02,\n",
" -2.21115149e-02, 1.92048010e-02, 2.60772536e-02,\n",
" -3.78571190e-02, 3.37016845e-02, 5.60172864e-02]])"
]
},
"metadata": {},
"execution_count": 34
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "0qjpOqJ8p4A2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 524
},
"outputId": "7d025b4a-64ad-473a-bea2-d7b531761413"
},
"source": [
"f,p=plt.subplots(2,1,figsize=(6,6),sharey=True)\n",
"\n",
"N=2\n",
"\n",
"for i in range(N):\n",
" p[i].plot(model.predict(Xdata[:4000])[:,i],'b')\n",
" p[i].plot(Ydata[:4000][:,i],'g')\n",
"plt.savefig('training.pdf')\n",
"plt.show()"
],
"execution_count": 35,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "X90kv8qyp4A2"
},
"source": [
"generalization = Sabr.path()\n",
"BMpath = generalization[0]\n",
"Y = generalization[1]\n",
"Ydata = np.squeeze(Y)"
],
"execution_count": 36,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "doX1BlSfp4A2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 522
},
"outputId": "337ee11b-f948-4e17-d8c7-bdd7179d7561"
},
"source": [
"X = Sabr.reservoir(BMpath,1,0)\n",
"Xdata = np.squeeze(X)\n",
"for l in range(1):\n",
" Xscaled=Sabr.reservoir(BMpath,0.5-l*0.1,0)\n",
" Xscaleddata=np.squeeze(Xscaled)\n",
" Xdata=np.concatenate((Xdata,Xscaleddata),axis=1)\n",
"#Xdata = np.concatenate((Xdata,Xdata**2),axis=1)\n",
"#Xdata = np.concatenate((Xdata,np.arctan(Xdata)),axis=1)#np.arctan(4*Xdata)),axis=1)\n",
"N=2\n",
"\n",
"fig,p=plt.subplots(N, 1, figsize=(6,6),sharex=True, sharey=True)\n",
"for i in range(N):\n",
" p[i].plot(model.predict(Xdata[:8000])[:,i],'b')\n",
" p[i].plot(Ydata[:8000][:,i],'g')\n",
"#plt.savefig('generalization.pdf')\n",
"plt.show()"
],
"execution_count": 37,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IWPtloNzp4A2"
},
"source": [
"An second very interesting strand of applications is to build econometric models, i.e. data-driven scenario generators which are estimated by regression."
]
},
{
"cell_type": "code",
"metadata": {
"id": "CY4DoJGpp4A3",
"outputId": "8cef95cb-89b3-41e1-ebef-f6aaf9cea674",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"end = '2019-01-01'\n",
"start = '2014-01-01'\n",
"get_px = lambda x: web.get_data_yahoo(x, start=start, end=end)['Adj Close']\n",
"\n",
"import yfinance as yfin\n",
"yfin.pdr_override()\n",
"\n",
"symbols = ['MSFT','GOOG', 'BAC','AMZN','AAPL','INTC','PBR','JPM']\n",
"# raw adjusted close prices\n",
"data = pd.DataFrame({sym:get_px(sym) for sym in symbols})\n",
"# log returns\n",
"lrets = np.log(data/data.shift(1)).dropna()\n",
"# linear returns\n",
"#lrets=(data-data.shift(1)).dropna()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n",
"[*********************100%%**********************] 1 of 1 completed\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "SGxLudXnp4A3",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"outputId": "1af86300-0733-4529-b6f9-3cb9a3616ec8"
},
"source": [
"data\n",
"#lrets.loc['2014-01-07'].values"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" MSFT GOOG BAC AMZN AAPL INTC \\\n",
"Date \n",
"2014-01-02 31.233061 27.724083 13.214101 19.898500 17.296658 19.378851 \n",
"2014-01-03 31.022940 27.521841 13.468531 19.822001 16.916718 19.371336 \n",
"2014-01-06 30.367342 27.828691 13.673718 19.681499 17.008966 19.130880 \n",
"2014-01-07 30.602688 28.365179 13.542399 19.901501 16.887325 19.228565 \n",
"2014-01-08 30.056347 28.424210 13.608059 20.096001 16.994267 19.108349 \n",
"... ... ... ... ... ... ... \n",
"2018-12-24 89.220596 48.811001 19.984524 67.197998 35.187355 37.905800 \n",
"2018-12-26 95.315224 51.973000 21.197840 73.544998 37.665306 40.166756 \n",
"2018-12-27 95.902885 52.194000 21.426435 73.082001 37.420872 40.314579 \n",
"2018-12-28 95.154099 51.854000 21.444019 73.901001 37.440037 40.653728 \n",
"2018-12-31 96.272560 51.780499 21.663820 75.098503 37.801910 40.810261 \n",
"\n",
" PBR JPM \n",
"Date \n",
"2014-01-02 4.970147 44.047375 \n",
"2014-01-03 4.895521 44.387882 \n",
"2014-01-06 4.910447 44.645157 \n",
"2014-01-07 4.813432 44.130611 \n",
"2014-01-08 4.731343 44.546787 \n",
"... ... ... \n",
"2018-12-24 4.702610 78.688438 \n",
"2018-12-26 4.943572 81.950752 \n",
"2018-12-27 4.974662 82.873085 \n",
"2018-12-28 5.074358 82.693733 \n",
"2018-12-31 5.066569 83.368423 \n",
"\n",
"[1258 rows x 8 columns]"
],
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"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>MSFT</th>\n",
" <th>GOOG</th>\n",
" <th>BAC</th>\n",
" <th>AMZN</th>\n",
" <th>AAPL</th>\n",
" <th>INTC</th>\n",
" <th>PBR</th>\n",
" <th>JPM</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-01-02</th>\n",
" <td>31.233061</td>\n",
" <td>27.724083</td>\n",
" <td>13.214101</td>\n",
" <td>19.898500</td>\n",
" <td>17.296658</td>\n",
" <td>19.378851</td>\n",
" <td>4.970147</td>\n",
" <td>44.047375</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-03</th>\n",
" <td>31.022940</td>\n",
" <td>27.521841</td>\n",
" <td>13.468531</td>\n",
" <td>19.822001</td>\n",
" <td>16.916718</td>\n",
" <td>19.371336</td>\n",
" <td>4.895521</td>\n",
" <td>44.387882</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>30.367342</td>\n",
" <td>27.828691</td>\n",
" <td>13.673718</td>\n",
" <td>19.681499</td>\n",
" <td>17.008966</td>\n",
" <td>19.130880</td>\n",
" <td>4.910447</td>\n",
" <td>44.645157</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>30.602688</td>\n",
" <td>28.365179</td>\n",
" <td>13.542399</td>\n",
" <td>19.901501</td>\n",
" <td>16.887325</td>\n",
" <td>19.228565</td>\n",
" <td>4.813432</td>\n",
" <td>44.130611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>30.056347</td>\n",
" <td>28.424210</td>\n",
" <td>13.608059</td>\n",
" <td>20.096001</td>\n",
" <td>16.994267</td>\n",
" <td>19.108349</td>\n",
" <td>4.731343</td>\n",
" <td>44.546787</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2018-12-24</th>\n",
" <td>89.220596</td>\n",
" <td>48.811001</td>\n",
" <td>19.984524</td>\n",
" <td>67.197998</td>\n",
" <td>35.187355</td>\n",
" <td>37.905800</td>\n",
" <td>4.702610</td>\n",
" <td>78.688438</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2018-12-26</th>\n",
" <td>95.315224</td>\n",
" <td>51.973000</td>\n",
" <td>21.197840</td>\n",
" <td>73.544998</td>\n",
" <td>37.665306</td>\n",
" <td>40.166756</td>\n",
" <td>4.943572</td>\n",
" <td>81.950752</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2018-12-27</th>\n",
" <td>95.902885</td>\n",
" <td>52.194000</td>\n",
" <td>21.426435</td>\n",
" <td>73.082001</td>\n",
" <td>37.420872</td>\n",
" <td>40.314579</td>\n",
" <td>4.974662</td>\n",
" <td>82.873085</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2018-12-28</th>\n",
" <td>95.154099</td>\n",
" <td>51.854000</td>\n",
" <td>21.444019</td>\n",
" <td>73.901001</td>\n",
" <td>37.440037</td>\n",
" <td>40.653728</td>\n",
" <td>5.074358</td>\n",
" <td>82.693733</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2018-12-31</th>\n",
" <td>96.272560</td>\n",
" <td>51.780499</td>\n",
" <td>21.663820</td>\n",
" <td>75.098503</td>\n",
" <td>37.801910</td>\n",
" <td>40.810261</td>\n",
" <td>5.066569</td>\n",
" <td>83.368423</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1258 rows × 8 columns</p>\n",
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"application/vnd.google.colaboratory.intrinsic+json": {
"type": "dataframe",
"variable_name": "data",
"summary": "{\n \"name\": \"data\",\n \"rows\": 1258,\n \"fields\": [\n {\n \"column\": \"Date\",\n \"properties\": {\n \"dtype\": \"date\",\n \"min\": \"2014-01-02 00:00:00\",\n \"max\": \"2018-12-31 00:00:00\",\n \"num_unique_values\": 1258,\n \"samples\": [\n \"2016-03-28 00:00:00\",\n \"2014-05-29 00:00:00\",\n \"2014-03-18 00:00:00\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MSFT\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 22.02412930115472,\n \"min\": 29.4007625579834,\n \"max\": 109.10893249511719,\n \"num_unique_values\": 1189,\n \"samples\": [\n 42.30039978027344,\n 100.92646789550781,\n 78.3087158203125\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"GOOG\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 10.75391203466426,\n \"min\": 24.560070037841797,\n \"max\": 63.416500091552734,\n \"num_unique_values\": 1244,\n \"samples\": [\n 41.43199920654297,\n 60.71900177001953,\n 38.444000244140625\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"BAC\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 5.3921982184542605,\n \"min\": 9.338844299316406,\n \"max\": 28.458499908447266,\n \"num_unique_values\": 1095,\n \"samples\": [\n 11.117161750793457,\n 13.156553268432617,\n 12.080472946166992\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"AMZN\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 23.847634857510403,\n \"min\": 14.34749984741211,\n \"max\": 101.97550201416016,\n \"num_unique_values\": 1248,\n \"samples\": [\n 38.755001068115234,\n 48.9379997253418,\n 49.61349868774414\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"AAPL\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 9.389512251319525,\n \"min\": 15.628375053405762,\n \"max\": 55.42149353027344,\n \"num_unique_values\": 1232,\n \"samples\": [\n 24.149993896484375,\n 40.31288146972656,\n 25.458906173706055\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"INTC\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 7.311172380603982,\n \"min\": 17.841678619384766,\n \"max\": 49.02809143066406,\n \"num_unique_values\": 1167,\n \"samples\": [\n 30.4306697845459,\n 38.78350830078125,\n 19.8594913482666\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PBR\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.3478463527763318,\n \"min\": 1.1183056831359863,\n \"max\": 7.963107585906982,\n \"num_unique_values\": 894,\n \"samples\": [\n 4.916688442230225,\n 1.3226855993270874,\n 3.640277862548828\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"JPM\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 19.116661236527566,\n \"min\": 40.593814849853516,\n \"max\": 100.60662841796875,\n \"num_unique_values\": 1197,\n \"samples\": [\n 81.7015380859375,\n 50.44456481933594,\n 43.723426818847656\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}"
}
},
"metadata": {},
"execution_count": 44
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "P4aaimTBp4A3"
},
"source": [
"Omega = (lrets\n",
" .rolling(30)\n",
" .cov()\n",
" .dropna())"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Tb9qcXqpp4A4"
},
"source": [
"dates = lrets.index"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "P0lwvNmOp4A4"
},
"source": [
"dates = dates[30:]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "flVJn2g9p4A4"
},
"source": [
"covdata = dict(zip(dates, [Omega.loc[date].values for date in dates]))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "wIB6cXUXp4A5"
},
"source": [
"marketBM = dict(zip(dates, [np.matmul(np.linalg.inv(linalg.sqrtm(Omega.loc[date].values)),lrets.loc[date].values) for date in dates]))\n",
"#marketBM = dict(zip(dates, [np.matmul(np.linalg.inv(np.eye(9)),lrets.loc[date].values) for date in dates]))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "tzMMFgRYp4A5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 465
},
"outputId": "fb668f67-0fb1-4314-824b-f86f77d9ee57"
},
"source": [
"plt.plot([marketBM[date][0] for date in dates])\n",
"plt.show()\n",
"print(np.std(np.array([marketBM[date][0] for date in dates])))\n",
"print(np.mean(np.array([marketBM[date][0] for date in dates])))"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"1.0073386934994466\n",
"0.0994004975556525\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "snP8rbJIp4A5"
},
"source": [
"K=8\n",
"BMmarketpath = 1/250*np.ones((len(dates),K))\n",
"mean=np.zeros(K)\n",
"for k in range(K):\n",
" mean[k] = np.mean([marketBM[l][k] for l in dates])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "yfVETTwGp4A5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"outputId": "b77b5346-db08-4bff-eebf-23d3d5f7a653"
},
"source": [
"for i in range(K):\n",
" BMmarketpath[:,i] = np.cumsum([np.sqrt(1/250)*(marketBM[date][i]-0.*mean[i])\n",
" for date in dates])\n",
"#BMmarketpath[:,K]= np.cumsum(BMmarketpath[:,K])\n",
"plt.plot(BMmarketpath)\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "SSAtqS-xp4A6"
},
"source": [
"Kmarket = 8\n",
"Ymarket = np.zeros((len(dates),Kmarket))\n",
"for i in range(Kmarket):\n",
" Ymarket[:,i]=np.cumsum([lrets.loc[date].values[i] for date in dates])\n",
"Ymarket = np.exp(Ymarket)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "NnkgM4ZCp4A6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"outputId": "a9a9e6cc-1221-4e65-e261-3ceec0097796"
},
"source": [
"plt.plot(Ymarket)\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Jj7lBoc5p4A6",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "9e932ae5-43a5-42b4-dfb3-588d4bb00349"
},
"source": [
"Ymarketdiff = np.diff(Ymarket,axis=0)\n",
"Ymarkettrain = np.concatenate((Ymarket[:200],Ymarketdiff[:200:1]),axis=0)\n",
"np.shape(Ymarkettrain)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(400, 8)"
]
},
"metadata": {},
"execution_count": 25
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "L_uwtTBxp4A7"
},
"source": [
"d=K\n",
"M=70\n",
"\n",
"def nilpotent(M):\n",
" B = np.zeros((M,M))\n",
" for i in range(2,M):\n",
" B[i,i-1]=1.0\n",
" return B\n",
"\n",
"def canonical(i,M):\n",
" e = np.zeros((M,1))\n",
" e[i,0]=1.0\n",
" return e\n",
"\n",
"def randomAbeta(d,M):\n",
" A = []\n",
" beta = []\n",
" for i in range(d):\n",
" #B = 0.1*np.identity(M)+np.random.normal(0.0,.5,size=(M,M))\n",
" B = np.random.normal(0.0,0.02,size=(M,M)) # 0.1 for scen-gen, 1.5 for SABR\n",
" #B = np.random.permutation(B)\n",
" #B = np.identity(M)\n",
" #B = sp.linalg.sqrtm(np.matmul(B,np.transpose(B)))\n",
" A = A + [B]\n",
" beta = beta + [0.*canonical(i,M)+np.random.normal(0.0,0.03,size=(M,1))]\n",
" return [A,beta]\n",
"\n",
"Abeta = randomAbeta(d,M)\n",
"A = Abeta[0]\n",
"beta = Abeta[1]\n",
"\n",
"def sigmoid(x):\n",
" return np.tanh(x)\n",
"\n",
"def reservoirfield(state,increment):\n",
" value = np.zeros((M,1))\n",
" for i in range(d):\n",
" value = value + sigmoid(np.matmul(A[i],state) + beta[i])*increment[i]\n",
" return value"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KrP2MYhcp4A7",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "8b44ab81-ed6e-4225-f522-1bcd628fc132"
},
"source": [
"BMmarketpathlist = [BMmarketpath[i,:] for i in range(len(dates))]\n",
"#BMmarketpathlist = [Ymarket[i,:K] for i in range(len(dates))]\n",
"Reservoir = SDE(1,1.5,2,K,M,vectorfield2d,len(dates)-1)\n",
"X=Reservoir.reservoir(BMmarketpathlist,0.5,0)\n",
"np.shape(X)\n",
"Xdata = np.squeeze(X)\n",
"Reservoir1 = SDE(1,0.0,2,K,M,vectorfield2d,len(dates)-1)\n",
"X1=Reservoir1.reservoir(BMmarketpathlist,0.4,0)\n",
"np.shape(X1)\n",
"Xdata1=np.squeeze(X1)\n",
"Reservoir2 = SDE(1,-1.5,2,K,M,vectorfield2d,len(dates)-1)\n",
"X2=Reservoir2.reservoir(BMmarketpathlist,0.3,0)\n",
"np.shape(X2)\n",
"Xdata2 = np.squeeze(X2)\n",
"Xdata = np.concatenate((Xdata,Xdata1,Xdata2),axis=1)\n",
"Xdatadiff = np.diff(Xdata,axis=0)\n",
"Xtrain=np.concatenate((Xdata[:200],Xdatadiff[:200:1]),axis=0)\n",
"np.shape(Xtrain)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(400, 210)"
]
},
"metadata": {},
"execution_count": 27
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9-j7nB9Vp4A7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 656
},
"outputId": "90d6b146-d120-4220-b98a-eb4f856c585d"
},
"source": [
"from sklearn import linear_model\n",
"import pandas as pd\n",
"lm = linear_model.Ridge(alpha=0.05)#LinearRegression()\n",
"model = lm.fit(Xtrain,Ymarkettrain)\n",
"plt.plot(model.predict(Xtrain),'r')\n",
"plt.plot(Ymarkettrain,'b')\n",
"plt.show()\n",
"model.score(Xtrain,Ymarkettrain)\n",
"model.coef_"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[ 0.28628971, 0.05195082, 0.00568936, ..., 0.0240983 ,\n",
" 0.05375009, -0.02284081],\n",
" [ 0.35662305, -0.00734981, 0.02546952, ..., 0.04650443,\n",
" 0.01665746, 0.02232358],\n",
" [ 0.33653293, 0.00321706, -0.00140133, ..., 0.04062935,\n",
" 0.03520714, -0.0251584 ],\n",
" ...,\n",
" [ 0.25771837, 0.05885686, 0.06943469, ..., -0.00560905,\n",
" 0.07421976, 0.0491331 ],\n",
" [ 0.56111106, -0.38769471, 0.17644562, ..., 0.03337305,\n",
" 0.02276941, 0.18623967],\n",
" [ 0.35777019, 0.02930192, -0.05795985, ..., 0.0301828 ,\n",
" 0.02785372, -0.0123748 ]])"
]
},
"metadata": {},
"execution_count": 28
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "2WUCmMuMp4A7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 522
},
"outputId": "3c911f5e-2b7b-45b4-f4d3-d69d44b18260"
},
"source": [
"f,p=plt.subplots(Kmarket,1,figsize=(6,6),sharey=False)\n",
"\n",
"for i in range(Kmarket):\n",
" p[i].plot(model.predict(Xdata[101:300])[:,i],'b')\n",
" p[i].plot(Ymarket[101:300][:,i],'g')\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x600 with 8 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "71445Ed8p4A7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "64b3795d-77d5-46bc-b29f-605a2e2ddfed"
},
"source": [
"BMmarketpathlistrandom = [np.zeros(K)]\n",
"for i in range(len(dates)):\n",
" BMmarketpathlistrandom = BMmarketpathlistrandom + [BMmarketpathlistrandom[-1] + np.random.normal(0,1/np.sqrt(250),K)]\n",
"Reservoir = SDE(1,1.5,2,K,M,vectorfield2d,len(dates)-1)\n",
"Xtest=Reservoir.reservoir(BMmarketpathlistrandom,0.5,0)\n",
"np.shape(Xtest)\n",
"Xtestdata = np.squeeze(Xtest)\n",
"Reservoir1 = SDE(1,0.0,2,K,M,vectorfield2d,len(dates)-1)\n",
"Xtest1=Reservoir1.reservoir(BMmarketpathlistrandom,0.4,0)\n",
"np.shape(Xtest1)\n",
"Xtestdata1 = np.squeeze(Xtest1)\n",
"Reservoir2 = SDE(1,-1.5,2,K,M,vectorfield2d,len(dates)-1)\n",
"Xtest2=Reservoir2.reservoir(BMmarketpathlistrandom,0.3,0)\n",
"np.shape(Xtest2)\n",
"Xtestdata2 = np.squeeze(Xtest2)\n",
"Xtestdata = np.concatenate((Xtestdata,Xtestdata1,Xtestdata2),axis=1)\n",
"\n",
"plt.plot(model.predict(Xtestdata[:100]))\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "B9Dkh3hkp4A7"
},
"source": [],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "dcfm7Ro6p4A8"
},
"source": [],
"execution_count": null,
"outputs": []
}
]
}
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