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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:f02d7c40534bf1da64d52c51377a6e23aa295ec5111e19fd88a48e39fcecf3ce" | |
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{ | |
"cells": [ | |
{ | |
"cell_type": "heading", | |
"level": 1, | |
"metadata": {}, | |
"source": [ | |
"Principal Component Analysis in Shogun" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"By Abhijeet Kislay (GitHub ID: <a href='https://github.com/kislayabhi'>kislayabhi</a>)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This notebook is about finding Principal Components (<a href=\"http://en.wikipedia.org/wiki/Principal_component_analysis\">PCA</a>) of data (<a href=\"http://en.wikipedia.org/wiki/Unsupervised_learning\">unsupervised</a>) in Shogun. Its <a href=\"http://en.wikipedia.org/wiki/Dimensionality_reduction\">dimensional reduction</a> capabilities are further utilised to show its application in <a href=\"http://en.wikipedia.org/wiki/Data_compression\">data compression</a>, image processing and <a href=\"http://en.wikipedia.org/wiki/Facial_recognition_system\">face recognition</a>. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# import all shogun classes\n", | |
"from modshogun import *" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Some Formal Background (Skip if you just want code examples)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"PCA is a useful statistical technique that has found application in fields such as face recognition and image compression, and is a common technique for finding patterns in data of high dimension.\n", | |
"\n", | |
"In machine learning problems data is often high dimensional - images, bag-of-word descriptions etc. In such cases we cannot expect the training data to densely populate the space, meaning that there will be large parts in which little is known about the data. Hence it is expected that only a small number of directions are relevant for describing the data to a reasonable accuracy.\n", | |
"\n", | |
"The data vectors may be very high dimensional, they will therefore typically lie closer to a much lower dimensional 'manifold'.\n", | |
"Here we concentrate on linear dimensional reduction techniques. In this approach a high dimensional datapoint $\\mathbf{x}$ is 'projected down' to a lower dimensional vector $\\mathbf{y}$ by:\n", | |
"$$\\mathbf{y}=\\mathbf{F}\\mathbf{x}+\\text{const}.$$\n", | |
"where the matrix $\\mathbf{F}\\in\\mathbb{R}^{\\text{M}\\times \\text{D}}$, with $\\text{M}<\\text{D}$. Here $\\text{M}=\\dim(\\mathbf{y})$ and $\\text{D}=\\dim(\\mathbf{x})$.\n", | |
"\n", | |
"From the above scenario, we assume that\n", | |
"\n", | |
"* The number of principal components to use is $\\text{M}$.\n", | |
"* The dimension of each data point is $\\text{D}$.\n", | |
"* The number of data points is $\\text{N}$.\n", | |
"\n", | |
"We express the approximation for datapoint $\\mathbf{x}^n$ as:$$\\mathbf{x}^n \\approx \\mathbf{c} + \\sum\\limits_{i=1}^{\\text{M}}y_i^n \\mathbf{b}^i \\equiv \\tilde{\\mathbf{x}}^n.$$\n", | |
"* Here the vector $\\mathbf{c}$ is a constant and defines a point in the lower dimensional space.\n", | |
"* The $\\mathbf{b}^i$ define vectors in the lower dimensional space (also known as 'principal component coefficients' or 'loadings').\n", | |
"* The $y_i^n$ are the low dimensional co-ordinates of the data.\n", | |
"\n", | |
"Our motive is to find the reconstruction $\\tilde{\\mathbf{x}}^n$ given the lower dimensional representation $\\mathbf{y}^n$(which has components $y_i^n,i = 1,...,\\text{M})$. For a data space of dimension $\\dim(\\mathbf{x})=\\text{D}$, we hope to accurately describe the data using only a small number $(\\text{M}\\ll \\text{D})$ of coordinates of $\\mathbf{y}$.\n", | |
"To determine the best lower dimensional representation it is convenient to use the square distance error between $\\mathbf{x}$ and its reconstruction $\\tilde{\\mathbf{x}}$:$$\\text{E}(\\mathbf{B},\\mathbf{Y},\\mathbf{c})=\\sum\\limits_{n=1}^{\\text{N}}\\sum\\limits_{i=1}^{\\text{D}}[x_i^n - \\tilde{x}_i^n]^2.$$\n", | |
"* Here the basis vectors are defined as $\\mathbf{B} = [\\mathbf{b}^1,...,\\mathbf{b}^\\text{M}]$ (defining $[\\text{B}]_{i,j} = b_i^j$).\n", | |
"* Corresponding low dimensional coordinates are defined as $\\mathbf{Y} = [\\mathbf{y}^1,...,\\mathbf{y}^\\text{N}].$\n", | |
"* Also, $x_i^n$ and $\\tilde{x}_i^n$ represents the coordinates of the data points for the original and the reconstructed data respectively.\n", | |
"* The bias $\\mathbf{c}$ is given by the mean of the data $\\sum_n\\mathbf{x}^n/\\text{N}$.\n", | |
"\n", | |
"Therefore, for simplification purposes we centre our data, so as to set $\\mathbf{c}$ to zero. Now we concentrate on finding the optimal basis $\\mathbf{B}$( which has the components $\\mathbf{b}^i, i=1,...,\\text{M} $).\n" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Deriving the optimal linear reconstruction" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"To find the best basis vectors $\\mathbf{B}$ and corresponding low dimensional coordinates $\\mathbf{Y}$, we may minimize the sum of squared differences between each vector $\\mathbf{x}$ and its reconstruction $\\tilde{\\mathbf{x}}$:\n", | |
"\n", | |
"$\\text{E}(\\mathbf{B},\\mathbf{Y}) = \\sum\\limits_{n=1}^{\\text{N}}\\sum\\limits_{i=1}^{\\text{D}}\\left[x_i^n - \\sum\\limits_{j=1}^{\\text{M}}y_j^nb_i^j\\right]^2 = \\text{trace} \\left( (\\mathbf{X}-\\mathbf{B}\\mathbf{Y})^T(\\mathbf{X}-\\mathbf{B}\\mathbf{Y}) \\right)$\n", | |
"\n", | |
"where $\\mathbf{X} = [\\mathbf{x}^1,...,\\mathbf{x}^\\text{N}].$\n", | |
"Considering the above equation under the orthonormality constraint $\\mathbf{B}^T\\mathbf{B} = \\mathbf{I}$ (i.e the basis vectors are mutually orthogonal and of unit length), we differentiate it w.r.t $y_k^n$. The squared error $\\text{E}(\\mathbf{B},\\mathbf{Y})$ therefore has zero derivative when: \n", | |
"\n", | |
"$y_k^n = \\sum_i b_i^kx_i^n$\n", | |
"\n", | |
"By substituting this solution in the above equation, the objective becomes\n", | |
"\n", | |
"$\\text{E}(\\mathbf{B}) = (\\text{N}-1)\\left[\\text{trace}(\\mathbf{S}) - \\text{trace}\\left(\\mathbf{S}\\mathbf{B}\\mathbf{B}^T\\right)\\right],$\n", | |
"\n", | |
"where $\\mathbf{S}$ is the sample covariance matrix of the data.\n", | |
"To minimise equation under the constraint $\\mathbf{B}^T\\mathbf{B} = \\mathbf{I}$, we use a set of Lagrange Multipliers $\\mathbf{L}$, so that the objective is to minimize: \n", | |
"\n", | |
"$-\\text{trace}\\left(\\mathbf{S}\\mathbf{B}\\mathbf{B}^T\\right)+\\text{trace}\\left(\\mathbf{L}\\left(\\mathbf{B}^T\\mathbf{B} - \\mathbf{I}\\right)\\right).$\n", | |
"\n", | |
"Since the constraint is symmetric, we can assume that $\\mathbf{L}$ is also symmetric. Differentiating with respect to $\\mathbf{B}$ and equating to zero we obtain that at the optimum \n", | |
"\n", | |
"$\\mathbf{S}\\mathbf{B} = \\mathbf{B}\\mathbf{L}$.\n", | |
"\n", | |
"This is a form of eigen-equation so that a solution is given by taking $\\mathbf{L}$ to be diagonal and $\\mathbf{B}$ as the matrix whose columns are the corresponding eigenvectors of $\\mathbf{S}$. In this case,\n", | |
"\n", | |
"$\\text{trace}\\left(\\mathbf{S}\\mathbf{B}\\mathbf{B}^T\\right) =\\text{trace}(\\mathbf{L}),$\n", | |
"\n", | |
"which is the sum of the eigenvalues corresponding to the eigenvectors forming $\\mathbf{B}$. Since we wish to minimise $\\text{E}(\\mathbf{B})$, we take the eigenvectors with the largest corresponding eigenvalues.\n", | |
"Whilst the solution to this eigen-problem is unique, this only serves to define the solution subspace since one may rotate and scale $\\mathbf{B}$ and $\\mathbf{Y}$ such that the value of the squared loss is exactly the same. The justification for choosing the non-rotated eigen solution is given by the additional requirement that the principal components corresponds to directions of maximal variance." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Maximum variance criterion" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We aim to find that single direction $\\mathbf{b}$ such that, when the data is projected onto this direction, the variance of this projection is maximal amongst all possible such projections.\n", | |
"The projection of a datapoint onto a direction $\\mathbf{b}$ is $\\mathbf{b}^T\\mathbf{x}^n$ for a unit length vector $\\mathbf{b}$. Hence the sum of squared projections is: $$\\sum\\limits_{n}\\left(\\mathbf{b}^T\\mathbf{x}^n\\right)^2 = \\mathbf{b}^T\\left[\\sum\\limits_{n}\\mathbf{x}^n(\\mathbf{x}^n)^T\\right]\\mathbf{b} = (\\text{N}-1)\\mathbf{b}^T\\mathbf{S}\\mathbf{b} = \\lambda(\\text{N} - 1)$$ \n", | |
"which ignoring constants, is simply the negative of the equation for a single retained eigenvector $\\mathbf{b}$(with $\\mathbf{S}\\mathbf{b} = \\lambda\\mathbf{b}$). Hence the optimal single $\\text{b}$ which maximises the projection variance is given by the eigenvector corresponding to the largest eigenvalues of $\\mathbf{S}.$ The second largest eigenvector corresponds to the next orthogonal optimal direction and so on. This explains why, despite the squared loss equation being invariant with respect to arbitrary rotation of the basis vectors, the ones given by the eigen-decomposition have the additional property that they correspond to directions of maximal variance. These maximal variance directions found by PCA are called the $\\text{principal} $ $\\text{directions}.$\n", | |
"\n", | |
"There are two eigenvalue methods through which shogun can perform PCA namely\n", | |
"* Eigenvalue Decomposition Method.\n", | |
"* Singular Value Decomposition.\n" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"EVD vs SVD" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"* The EVD viewpoint requires that one compute the eigenvalues and eigenvectors of the covariance matrix, which is the product of $\\mathbf{X}\\mathbf{X}^\\text{T}$, where $\\mathbf{X}$ is the data matrix. Since the covariance matrix is symmetric, the matrix is diagonalizable, and the eigenvectors can be normalized such that they are orthonormal:\n", | |
"\n", | |
"$\\mathbf{S}=\\frac{1}{\\text{N}-1}\\mathbf{X}\\mathbf{X}^\\text{T},$\n", | |
"\n", | |
"where the $\\text{D}\\times\\text{N}$ matrix $\\mathbf{X}$ contains all the data vectors: $\\mathbf{X}=[\\mathbf{x}^1,...,\\mathbf{x}^\\text{N}].$\n", | |
"Writing the $\\text{D}\\times\\text{N}$ matrix of eigenvectors as $\\mathbf{E}$ and the eigenvalues as an $\\text{N}\\times\\text{N}$ diagonal matrix $\\mathbf{\\Lambda}$, the eigen-decomposition of the covariance $\\mathbf{S}$ is\n", | |
"\n", | |
"$\\mathbf{X}\\mathbf{X}^\\text{T}\\mathbf{E}=\\mathbf{E}\\mathbf{\\Lambda}\\Longrightarrow\\mathbf{X}^\\text{T}\\mathbf{X}\\mathbf{X}^\\text{T}\\mathbf{E}=\\mathbf{X}^\\text{T}\\mathbf{E}\\mathbf{\\Lambda}\\Longrightarrow\\mathbf{X}^\\text{T}\\mathbf{X}\\tilde{\\mathbf{E}}=\\tilde{\\mathbf{E}}\\mathbf{\\Lambda},$\n", | |
"\n", | |
"where we defined $\\tilde{\\mathbf{E}}=\\mathbf{X}^\\text{T}\\mathbf{E}$. The final expression above represents the eigenvector equation for $\\mathbf{X}^\\text{T}\\mathbf{X}.$ This is a matrix of dimensions $\\text{N}\\times\\text{N}$ so that calculating the eigen-decomposition takes $\\mathcal{O}(\\text{N}^3)$ operations, compared with $\\mathcal{O}(\\text{D}^3)$ operations in the original high-dimensional space. We then can therefore calculate the eigenvectors $\\tilde{\\mathbf{E}}$ and eigenvalues $\\mathbf{\\Lambda}$ of this matrix more easily. Once found, we use the fact that the eigenvalues of $\\mathbf{S}$ are given by the diagonal entries of $\\mathbf{\\Lambda}$ and the eigenvectors by\n", | |
"\n", | |
"$\\mathbf{E}=\\mathbf{X}\\tilde{\\mathbf{E}}\\mathbf{\\Lambda}^{-1}$\n", | |
"\n", | |
"\n", | |
"\n", | |
"\n", | |
"* On the other hand, applying SVD to the data matrix $\\mathbf{X}$ follows like:\n", | |
"\n", | |
"$\\mathbf{X}=\\mathbf{U}\\mathbf{\\Sigma}\\mathbf{V}^\\text{T}$\n", | |
"\n", | |
"where $\\mathbf{U}^\\text{T}\\mathbf{U}=\\mathbf{I}_\\text{D}$ and $\\mathbf{V}^\\text{T}\\mathbf{V}=\\mathbf{I}_\\text{N}$ and $\\mathbf{\\Sigma}$ is a diagonal matrix of the (positive) singular values. We assume that the decomposition has ordered the singular values so that the upper left diagonal element of $\\mathbf{\\Sigma}$ contains the largest singular value.\n", | |
"\n", | |
"Attempting to construct the covariance matrix $(\\mathbf{X}\\mathbf{X}^\\text{T})$from this decomposition gives:\n", | |
"\n", | |
"$\\mathbf{X}\\mathbf{X}^\\text{T} = \\left(\\mathbf{U}\\mathbf{\\Sigma}\\mathbf{V}^\\text{T}\\right)\\left(\\mathbf{U}\\mathbf{\\Sigma}\\mathbf{V}^\\text{T}\\right)^\\text{T}$\n", | |
"\n", | |
"$\\mathbf{X}\\mathbf{X}^\\text{T} = \\left(\\mathbf{U}\\mathbf{\\Sigma}\\mathbf{V}^\\text{T}\\right)\\left(\\mathbf{V}\\mathbf{\\Sigma}\\mathbf{U}^\\text{T}\\right)$\n", | |
"\n", | |
"and since $\\mathbf{V}$ is an orthogonal matrix $\\left(\\mathbf{V}^\\text{T}\\mathbf{V}=\\mathbf{I}\\right),$\n", | |
"\n", | |
"$\\mathbf{X}\\mathbf{X}^\\text{T}=\\left(\\mathbf{U}\\mathbf{\\Sigma}^\\mathbf{2}\\mathbf{U}^\\text{T}\\right)$\n", | |
"\n", | |
"Since it is in the form of an eigen-decomposition, the PCA solution given by performing the SVD decomposition of $\\mathbf{X}$, for which the eigenvectors are then given by $\\mathbf{U}$, and corresponding eigenvalues by the square of the singular values.\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"[CPCA](http://www.shogun-toolbox.org/doc/en/3.0.0/classshogun_1_1CPCA.html) Class Reference (Shogun) " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"CPCA class of Shogun inherits from the [CPreprocessor](http://www.shogun-toolbox.org/doc/en/3.0.0/classshogun_1_1CPreprocessor.html) class. Preprocessors are transformation functions that doesn't change the domain of the input features. Specifically, CPCA performs principal component analysis on the input vectors and keeps only the specified number of eigenvectors. On preprocessing, the stored covariance matrix is used to project vectors into eigenspace.\n", | |
"\n", | |
"Performance of PCA depends on the algorithm used according to the situation in hand.\n", | |
"Our PCA preprocessor class provides 3 method options to compute the transformation matrix:\n", | |
"\n", | |
"* $\\text{PCA(EVD)}$ sets $\\text{PCAmethod == EVD}$ : Eigen Value Decomposition of Covariance Matrix $(\\mathbf{XX^T}).$\n", | |
"The covariance matrix $\\mathbf{XX^T}$ is first formed internally and then\n", | |
"its eigenvectors and eigenvalues are computed using QR decomposition of the matrix.\n", | |
"The time complexity of this method is $\\mathcal{O}(D^3)$ and should be used when $\\text{N > D.}$\n", | |
"\n", | |
"\n", | |
"* $\\text{PCA(SVD)}$ sets $\\text{PCAmethod == SVD}$ : Singular Value Decomposition of feature matrix $\\mathbf{X}$.\n", | |
"The transpose of feature matrix, $\\mathbf{X^T}$, is decomposed using SVD. $\\mathbf{X^T = UDV^T}.$\n", | |
"The matrix V in this decomposition contains the required eigenvectors and\n", | |
"the diagonal entries of the diagonal matrix D correspond to the non-negative\n", | |
"eigenvalues.The time complexity of this method is $\\mathcal{O}(DN^2)$ and should be used when $\\text{N < D.}$\n", | |
"\n", | |
"\n", | |
"* $\\text{PCA(AUTO)}$ sets $\\text{PCAmethod == AUTO}$ : This mode automagically chooses one of the above modes for the user based on whether $\\text{N>D}$ (chooses $\\text{EVD}$) or $\\text{N<D}$ (chooses $\\text{SVD}$)" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"PCA on 2D data" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 1: Get some data" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We will generate the toy data by adding orthogonal noise to a set of points lying on an arbitrary 2d line. We expect PCA to recover this line, which is a one-dimensional linear sub-space." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#number of data points.\n", | |
"n=100\n", | |
"\n", | |
"#generate a random 2d line(y1 = mx1 + c)\n", | |
"m = random.randint(1,10)\n", | |
"c = random.randint(1,10)\n", | |
"x1 = random.random_integers(-20,20,n)\n", | |
"y1=m*x1+c\n", | |
"\n", | |
"#generate the noise.\n", | |
"noise=random.random_sample([n]) * random.random_integers(-35,35,n)\n", | |
"\n", | |
"#make the noise orthogonal to the line y=mx+c and add it.\n", | |
"x=x1 + noise*m/sqrt(1+square(m))\n", | |
"y=y1 + noise/sqrt(1+square(m))\n", | |
"\n", | |
"twoD_obsmatrix=array([x,y])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#to visualise the data we must plot it.\n", | |
"\n", | |
"rcParams['figure.figsize'] = 7, 7 \n", | |
"figure,axis=subplots(1,1)\n", | |
"xlim(-50,50)\n", | |
"ylim(-50,50)\n", | |
"axis.plot(twoD_obsmatrix[0,:],twoD_obsmatrix[1,:],'o',color='green',markersize=6)\n", | |
"\n", | |
"#the line from which we generated the data is plotted in red\n", | |
"axis.plot(x1[:],y1[:],linewidth=0.3,color='red')\n", | |
"title('One-Dimensional sub-space with noise')\n", | |
"xlabel(\"x axis\")\n", | |
"_=ylabel(\"y axis\")" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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CoBHSNwy97jppyxaKUxCy2FSOkBHSG7C3bDE7AsDSSHYIGpYpEjELlZhAtUh2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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x37ee910>" | |
] | |
} | |
], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 2: Subtract the mean." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"For PCA to work properly, we must subtract the mean from each of the data dimensions. The mean subtracted is the average across each dimension. So, all the $x$ values have $\\bar{x}$ subtracted, and all the $y$ values have $\\bar{y}$ subtracted from them, where:$$\\bar{\\mathbf{x}} = \\frac{\\sum\\limits_{i=1}^{n}x_i}{n}$$ $\\bar{\\mathbf{x}}$ denotes the mean of the $x_i^{'s}$" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 5, | |
"metadata": {}, | |
"source": [ | |
"Shogun's way of doing things :" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Preprocessor PCA performs principial component analysis on input feature vectors/matrices. It provides an interface to set the target dimension by $\\text{set_target_dim method}.$ When the $\\text{init()}$ method in $\\text{PCA}$ is called with proper\n", | |
"feature matrix $\\text{X}$ (with say $\\text{N}$ number of vectors and $\\text{D}$ feature dimension), a transformation matrix is computed and stored internally.It inherenty also centralizes the data by subtracting the mean from it." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#convert the observation matrix into dense feature matrix.\n", | |
"train_features = RealFeatures(twoD_obsmatrix)\n", | |
"\n", | |
"#PCA(EVD) is choosen since N=100 and D=2 (N>D).\n", | |
"#However we can also use PCA(AUTO) as it will automagically choose the appropriate method. \n", | |
"preprocessor = PCA(EVD)\n", | |
"\n", | |
"#since we are projecting down the 2d data, the target dim is 1. But here the exhaustive method is detailed by\n", | |
"#setting the target dimension to 2 to visualize both the eigen vectors.\n", | |
"#However, in future examples we will get rid of this step by implementing it directly.\n", | |
"preprocessor.set_target_dim(2)\n", | |
"\n", | |
"#Centralise the data by subtracting its mean from it.\n", | |
"preprocessor.init(train_features)\n", | |
"\n", | |
"#get the mean for the respective dimensions.\n", | |
"mean_datapoints=preprocessor.get_mean()\n", | |
"mean_x=mean_datapoints[0]\n", | |
"mean_y=mean_datapoints[1]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 3: Calculate the covariance matrix" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"To understand the relationship between 2 dimension we define $\\text{covariance}$. It is a measure to find out how much the dimensions vary from the mean $with$ $respect$ $to$ $each$ $other.$$$cov(X,Y)=\\frac{\\sum\\limits_{i=1}^{n}(X_i-\\bar{X})(Y_i-\\bar{Y})}{n-1}$$\n", | |
"A useful way to get all the possible covariance values between all the different dimensions is to calculate them all and put them in a matrix.\n", | |
"\n", | |
"Example: For a 3d dataset with usual dimensions of $x,y$ and $z$, the covariance matrix has 3 rows and 3 columns, and the values are this:\n", | |
"$$\\mathbf{S} = \\quad\\begin{pmatrix}cov(x,x)&cov(x,y)&cov(x,z)\\\\cov(y,x)&cov(y,y)&cov(y,z)\\\\cov(z,x)&cov(z,y)&cov(z,z)\\end{pmatrix}$$\n", | |
"\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 4: Calculate the eigenvectors and eigenvalues of the covariance matrix" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Find the eigenvectors $e^1,....e^M$ of the covariance matrix $\\mathbf{S}$." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 5, | |
"metadata": {}, | |
"source": [ | |
"Shogun's way of doing things :" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Step 3 and Step 4 are directly implemented by the PCA preprocessor of Shogun toolbar. The transformation matrix is essentially a $\\text{D}$$\\times$$\\text{M}$ matrix, the columns of which correspond to the eigenvectors of the covariance matrix $(\\text{X}\\text{X}^\\text{T})$ having top $\\text{M}$ eigenvalues." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#Get the eigenvectors(We will get two of these since we set the target to 2). \n", | |
"E = preprocessor.get_transformation_matrix()\n", | |
"\n", | |
"#Get all the eigenvalues returned by PCA.\n", | |
"eig_value=preprocessor.get_eigenvalues()\n", | |
"\n", | |
"e1 = E[:,0]\n", | |
"e2 = E[:,1]\n", | |
"eig_value1 = eig_value[0]\n", | |
"eig_value2 = eig_value[1]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 5: Choosing components and forming a feature vector." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Lets visualize the eigenvectors and decide upon which to choose as the $principle$ $component$ of the data set." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#find out the M eigenvectors corresponding to top M number of eigenvalues and store it in E\n", | |
"#Here M=1\n", | |
"\n", | |
"#slope of e1 & e2\n", | |
"m1=e1[1]/e1[0]\n", | |
"m2=e2[1]/e2[0]\n", | |
"\n", | |
"#generate the two lines\n", | |
"x1=range(-50,50)\n", | |
"x2=x1\n", | |
"y1=multiply(m1,x1)\n", | |
"y2=multiply(m2,x2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#plot the data along with those two eigenvectors\n", | |
"figure, axis = subplots(1,1)\n", | |
"xlim(-50, 50)\n", | |
"ylim(-50, 50)\n", | |
"axis.plot(x[:], y[:],'o',color='green', markersize=5, label=\"green\")\n", | |
"axis.plot(x1[:], y1[:], linewidth=0.7, color='black')\n", | |
"axis.plot(x2[:], y2[:], linewidth=0.7, color='blue')\n", | |
"p1 = Rectangle((0, 0), 1, 1, fc=\"black\")\n", | |
"p2 = Rectangle((0, 0), 1, 1, fc=\"blue\")\n", | |
"legend([p1,p2],[\"1st eigenvector\",\"2nd eigenvector\"],loc='center left', bbox_to_anchor=(1, 0.5))\n", | |
"title('Eigenvectors selection')\n", | |
"xlabel(\"x axis\")\n", | |
"_=ylabel(\"y axis\")" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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X8PDwQHl5OQBACAFPT0/pvlQw1+ogMqmjR4GDB4HXX5e7EqKm8dpApiJLV92uXbvg4+OD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\n5Xa71draquzsbDU3Nysykpv/cHfs0PPI7ZYKCy0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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x37f0710>" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"In the above figure, the blue line is a good fit of the data. It shows the most significant relationship between the data dimensions.\n", | |
"It turns out that the eigenvector with the $highest$ eigenvalue is the $principle$ $component$ of the data set.\n", | |
"Form the matrix $\\mathbf{E}=[\\mathbf{e}^1,...,\\mathbf{e}^M].$\n", | |
"Here $\\text{M}$ represents the target dimension of our final projection" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#The eigenvector corresponding to higher eigenvalue(i.e eig_value2) is choosen (i.e e2).\n", | |
"#E is the feature vector.\n", | |
"E=e2" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 6: Projecting the data to its Principal Components." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This is the final step in PCA. Once we have choosen the components(eigenvectors) that we wish to keep in our data and formed a feature vector, we simply take the vector and multiply it on the left of the original dataset.\n", | |
"The lower dimensional representation of each data point $\\mathbf{x}^n$ is given by \n", | |
"\n", | |
"$\\mathbf{y}^n=\\mathbf{E}^T(\\mathbf{x}^n-\\mathbf{m})$\n", | |
"\n", | |
"Here the $\\mathbf{E}^T$ is the matrix with the eigenvectors in rows, with the most significant eigenvector at the top. The mean adjusted data, with data items in each column, with each row holding a seperate dimension is multiplied to it." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 5, | |
"metadata": {}, | |
"source": [ | |
"Shogun's way of doing things :" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Step 6 can be performed by shogun's PCA preprocessor as follows:\n", | |
"\n", | |
"The transformation matrix that we got after $\\text{init()}$ is used to transform all $\\text{D-dim}$ feature matrices (with $\\text{D}$ feature dimensions) supplied, via $\\text{apply_to_feature_matrix methods}$.This transformation outputs the $\\text{M-Dim}$ approximation of all these input vectors and matrices (where $\\text{M}$ $\\leq$ $\\text{min(D,N)}$)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#transform all 2-dimensional feature matrices to target-dimensional approximations.\n", | |
"yn=preprocessor.apply_to_feature_matrix(train_features)\n", | |
"\n", | |
"#Since, here we are manually trying to find the eigenvector corresponding to the top eigenvalue.\n", | |
"#The 2nd row of yn is choosen as it corresponds to the required eigenvector e2.\n", | |
"yn1=yn[1,:]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Step 5 and Step 6 can be applied directly with Shogun's PCA preprocessor (from next example). It has been done manually here to show the exhaustive nature of Principal Component Analysis." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 7: Form the approximate reconstruction of the original data $\\mathbf{x}^n$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The approximate reconstruction of the original datapoint $\\mathbf{x}^n$ is given by : $\\tilde{\\mathbf{x}}^n\\approx\\text{m}+\\mathbf{E}\\mathbf{y}^n$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"x_new=(yn1 * E[0]) + tile(mean_x,[n,1]).T[0]\n", | |
"y_new=(yn1 * E[1]) + tile(mean_y,[n,1]).T[0]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The new data is plotted below" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"figure, axis = subplots(1,1)\n", | |
"xlim(-50, 50)\n", | |
"ylim(-50, 50)\n", | |
"\n", | |
"axis.plot(x[:], y[:],'o',color='green', markersize=5, label=\"green\")\n", | |
"axis.plot(x_new, y_new, 'o', color='blue', markersize=5, label=\"red\")\n", | |
"title('PCA Projection of 2D data into 1D subspace')\n", | |
"xlabel(\"x axis\")\n", | |
"ylabel(\"y axis\")\n", | |
"\n", | |
"#add some legend for information\n", | |
"p1 = Rectangle((0, 0), 1, 1, fc=\"r\")\n", | |
"p2 = Rectangle((0, 0), 1, 1, fc=\"g\")\n", | |
"p3 = Rectangle((0, 0), 1, 1, fc=\"b\")\n", | |
"legend([p1,p2,p3],[\"normal projection\",\"2d data\",\"1d projection\"],loc='center left', bbox_to_anchor=(1, 0.5))\n", | |
"\n", | |
"#plot the projections in red:\n", | |
"for i in range(n):\n", | |
" axis.plot([x[i],x_new[i]],[y[i],y_new[i]] , color='red')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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ETKqI6PrVzzfYJNm6+OthlNnVIsUD+DIQePdWTtFCHYNlA1kCNv8R0fWzsgIG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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x3957990>" | |
] | |
} | |
], | |
"prompt_number": 11 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"PCA on a 3d data." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step1: Get some data" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We generate points from a plane and then add random noise orthogonal to it. The general equation of a plane is: $$\\text{a}\\mathbf{x}+\\text{b}\\mathbf{y}+\\text{c}\\mathbf{z}+\\text{d}=0$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"rcParams['figure.figsize'] = 8,8 \n", | |
"#number of points\n", | |
"n=100\n", | |
"\n", | |
"#generate the data\n", | |
"a=random.randint(1,20)\n", | |
"b=random.randint(1,20)\n", | |
"c=random.randint(1,20)\n", | |
"d=random.randint(1,20)\n", | |
"\n", | |
"x1=random.random_integers(-20,20,n)\n", | |
"y1=random.random_integers(-20,20,n)\n", | |
"z1=-(a*x1+b*y1+d)/c\n", | |
"\n", | |
"#generate the noise\n", | |
"noise=random.random_sample([n])*random.random_integers(-30,30,n)\n", | |
"\n", | |
"#the normal unit vector is [a,b,c]/magnitude\n", | |
"magnitude=sqrt(square(a)+square(b)+square(c))\n", | |
"normal_vec=array([a,b,c]/magnitude)\n", | |
"\n", | |
"#add the noise orthogonally\n", | |
"x=x1+noise*normal_vec[0]\n", | |
"y=y1+noise*normal_vec[1]\n", | |
"z=z1+noise*normal_vec[2]\n", | |
"threeD_obsmatrix=array([x,y,z])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#to visualize the data, we must plot it.\n", | |
"from mpl_toolkits.mplot3d import Axes3D\n", | |
"\n", | |
"fig = pyplot.figure()\n", | |
"ax=fig.add_subplot(111, projection='3d')\n", | |
"\n", | |
"#plot the noisy data generated by distorting a plane\n", | |
"ax.scatter(x, y, z,marker='o', color='g')\n", | |
"\n", | |
"ax.set_xlabel('x label')\n", | |
"ax.set_ylabel('y label')\n", | |
"ax.set_zlabel('z label')\n", | |
"legend([p2],[\"3d data\"],loc='center left', bbox_to_anchor=(1, 0.5))\n", | |
"title('Two dimensional subspace with noise')\n", | |
"xx, yy = meshgrid(range(-30,30), range(-30,30))\n", | |
"zz=-(a * xx + b * yy + d) / c" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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gHA4jFotBkiS6LmkopXWHiU1mmfV6vVrsSzwe1ywwiUQCsix3uGa5pC6ff/75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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x3957410>" | |
] | |
} | |
], | |
"prompt_number": 13 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 2: Subtract the mean." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#convert the observation matrix into dense feature matrix.\n", | |
"train_features = RealFeatures(threeD_obsmatrix)\n", | |
"\n", | |
"#PCA(EVD) is choosen since N=100 and D=3 (N>D).\n", | |
"#However we can also use PCA(AUTO) as it will automagically choose the appropriate method. \n", | |
"preprocessor = PCA(EVD)\n", | |
"\n", | |
"#If we set the target dimension to 2, Shogun would automagically preserve the required 2 eigenvectors(out of 3) according to their\n", | |
"#eigenvalues.\n", | |
"preprocessor.set_target_dim(2)\n", | |
"preprocessor.init(train_features)\n", | |
"\n", | |
"#get the mean for the respective dimensions.\n", | |
"mean_datapoints=preprocessor.get_mean()\n", | |
"mean_x=mean_datapoints[0]\n", | |
"mean_y=mean_datapoints[1]\n", | |
"mean_z=mean_datapoints[2]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 14 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 3 & Step 4: Calculate the eigenvectors of the covariance matrix" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#get the required eigenvectors corresponding to top 2 eigenvalues.\n", | |
"E = preprocessor.get_transformation_matrix()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 15 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Steps 5: Choosing components and forming a feature vector." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Since we performed PCA for a target $\\dim = 2$ for the $3 \\dim$ data, we are directly given \n", | |
"the two required eigenvectors in $\\mathbf{E}$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"E is automagically filled by setting target dimension = M. This is different from the 2d data example where we implemented this step manually." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 6: Projecting the data to its Principal Components." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#This can be performed by shogun's PCA preprocessor as follows:\n", | |
"yn=preprocessor.apply_to_feature_matrix(train_features)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 16 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 7: Form the approximate reconstruction of the original data $\\mathbf{x}^n$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The approximate reconstruction of the original datapoint $\\mathbf{x}^n$ is given by : $\\tilde{\\mathbf{x}}^n\\approx\\text{m}+\\mathbf{E}\\mathbf{y}^n$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"new_data=dot(E,yn)\n", | |
"\n", | |
"x_new=new_data[0,:]+tile(mean_x,[n,1]).T[0]\n", | |
"y_new=new_data[1,:]+tile(mean_y,[n,1]).T[0]\n", | |
"z_new=new_data[2,:]+tile(mean_z,[n,1]).T[0]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#all the above points lie on the same plane. To make it more clear we will plot the projection also.\n", | |
"\n", | |
"fig=pyplot.figure()\n", | |
"ax=fig.add_subplot(111, projection='3d')\n", | |
"ax.scatter(x, y, z,marker='o', color='g')\n", | |
"ax.set_xlabel('x label')\n", | |
"ax.set_ylabel('y label')\n", | |
"ax.set_zlabel('z label')\n", | |
"legend([p1,p2,p3],[\"normal projection\",\"3d data\",\"2d projection\"],loc='center left', bbox_to_anchor=(1, 0.5))\n", | |
"title('PCA Projection of 3D data into 2D subspace')\n", | |
"\n", | |
"for i in range(100):\n", | |
" ax.scatter(x_new[i], y_new[i], z_new[i],marker='o', color='b')\n", | |
" ax.plot([x[i],x_new[i]],[y[i],y_new[i]],[z[i],z_new[i]],color='r') " | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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KES9eADBy5Ejs3r0bb731FmRZxsKFC/Hdd99hzJgx2mPiFR9XX301Xn31VXzxxReorq7G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rAAAg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5x45hmj07KNR27UIZMwb5qqtQBw/Gf1ZE1OSkYyAAS5eKuFwCAwcqNGoU+fcSEWblCY8qq+iL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\nbCx6vZ7rr7/e7UHNfiC4WoJZXVq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GDKGyspLw8HBiYmIYP348xcXFmM1m5s+fz3fffcf1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\nVETCmRBCCCGEivx/xZzExuaLNYIAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4109c90>" | |
] | |
} | |
], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"PCA Performance" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Uptill now, we were using the EigenValue Decomposition method to compute the transformation matrix$\\text{(N>D)}$ but for the next example $\\text{(N<D)}$ we will be using Singular Value Decomposition." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Practical Example : Eigenfaces" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The problem with the image representation we are given is its high dimensionality. Two-dimensional $\\text{p} \\times \\text{q}$ grayscale images span a $\\text{m=pq}$ dimensional vector space, so an image with $\\text{100}\\times\\text{100}$ pixels lies in a $\\text{10,000}$ dimensional image space already. \n", | |
"\n", | |
"The question is, are all dimensions really useful for us?\n", | |
" \n", | |
"$\\text{Eigenfaces}$ are based on the dimensional reduction approach of $\\text{Principal Component Analysis(PCA)}$. The basic idea is to treat each image as a vector in a high dimensional space. Then, $\\text{PCA}$ is applied to the set of images to produce a new reduced subspace that captures most of the variability between the input images. The $\\text{Pricipal Component Vectors}$(eigenvectors of the sample covariance matrix) are called the $\\text{Eigenfaces}$. Every input image can be represented as a linear combination of these eigenfaces by projecting the image onto the new eigenfaces space. Thus, we can perform the identfication process by matching in this reduced space. An input image is transformed into the $\\text{eigenspace,}$ and the nearest face is identified using a $\\text{Nearest Neighbour approach.}$" | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 1: Get some data." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Here data means those Images which will be used for training purposes." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"rcParams['figure.figsize'] = 10, 10 \n", | |
"import os\n", | |
"def get_imlist(path):\n", | |
" \"\"\" Returns a list of filenames for all jpg images in a directory\"\"\"\n", | |
" return [os.path.join(path,f) for f in os.listdir(path) if f.endswith('.pgm')]\n", | |
"\n", | |
"#set path of the training images\n", | |
"path_train='../../../data/att_dataset/training/'\n", | |
"#set no. of rows that the images will be resized.\n", | |
"k1=100\n", | |
"#set no. of columns that the images will be resized.\n", | |
"k2=100\n", | |
"\n", | |
"filenames = get_imlist(path_train)\n", | |
"filenames = array(filenames)\n", | |
"\n", | |
"#n is total number of images that has to be analysed.\n", | |
"n=len(filenames)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 19 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Lets have a look on the data:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# we will be using this often to visualize the images out there.\n", | |
"def showfig(image):\n", | |
" imgplot=imshow(image, cmap='gray')\n", | |
" imgplot.axes.get_xaxis().set_visible(False)\n", | |
" imgplot.axes.get_yaxis().set_visible(False)\n", | |
" \n", | |
"import Image\n", | |
"from scipy import misc\n", | |
"\n", | |
"# to get a hang of the data, lets see some part of the dataset images.\n", | |
"fig = pyplot.figure()\n", | |
"title('The Training Dataset')\n", | |
"\n", | |
"for i in range(49):\n", | |
" fig.add_subplot(7,7,i)\n", | |
" train_img=array(Image.open(filenames[i]).convert('L'))\n", | |
" train_img=misc.imresize(train_img, [k1,k2])\n", | |
" showfig(train_img)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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bMisEx3wv6/3cbjfcbrcwnBpc0g6wSD0YDMLlciGVSqHRaEjwzjnlmteBFp8J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\n669bKyWALa/dKAHyTIcwM6YkHA5rfHzcGtjNzs5+ZlRHMBjUl7/8ZWU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y0tLZ+hbY+zh1JtA1UuVqlUsipEBnh6StynlXz6BVDIdw0EAtYolWKMyclJhcNhG4tEOo42H7w2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Q5v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\n7k7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o1BzObrdrc1s97QL5I/La7XYNlBG94Rmki8itn8ZxmYXB9TxCAD9AhQrm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dBll+XV1VVjt0KhkFUcUTpOCTznmBL80aPs+fPn155Hrp/P9vIBxpsKSzxYOTk5MYE0wRNs\nP4EnOsJIJDJ0aoD/4nMJdPgcWIJkMqk7d+6YrQbUVatVHR0d2XPE+YVCId27d8+CBRhAUo3sH+7r\nugP9Eekc7FMikbB1znFKBEVnZ2eWFp2fn1c2mzWQ6dOjOF7mIJvNanZ2diiz0mg0hhoDo2FLpVI6\nOzszlmt5edn8Hz5rc3PTGmGurKxocnJS7733niqVitmVcDhs844/QQc2qh0bZ3jwNDk5qXK5bHYG\nwfxgcHmWZjqd1oMHD/Thhx+av8AGYPsoCiNVjaaJn3/33XdW/cr69/pA1jd+CYDPvLdaraH2IP7Y\nLu5lfn5ejx49MtBN1smfp4nNlWTp6nHG/y/tFqQrBMtht73e5bEle3t7yufz+vDDD/Xs2TM1Gg07\npLPf71sTMjQEUNnob/g/IjQQbjwe1/r6ujY3NzUxMaEnT57YhkH4R/k0rAAGFafkK3O4B6IEnBZs\nFosH/YZH7OMOn2br9S6P1bh9+7Z2dnZUr9et2ow0FCkuKiG63a4ePXpkolVJRvsDLIjUWHAAKgwk\nRpv0IiAZo828wDx9++23evfdd01sjHFhbonaq9WqaY+Yb+Z5bW1N6+vr+vrrr7W5uWk6hz90IBLF\nsRcKBaVSKYvkYRrRiNEAlrJ0IiUiH0p+EUguLCzYhqUKhc17584dYxafPXumQqGgXC6nxcVFmzsM\n7o0bN7S0tGQGi+ujmgbmanV1VUtLSwY8MSh/9Vd/ZfeDjgeR/LgtAqQrAMXe8GlAjHA8Hre+XwcH\nB0qlUkokEorFYsbAUY7fbrc1Pz+vmzdvamVlxY5kCQaD1oySCP3o6Eh/9md/Zilc1hxzcH5+bo7o\niy++0Pvvv29l8ein2LPo2rLZrNLp9O9U3uE06GheLBa1vb1t17S6ujrWPLKXYGc9wGGf+/0Oc87+\nmJmZUTgcViaTMadISwZAEnpRwBhAwbNgOGdYSF9cQkk7rDK/T6VSJnMAULF3JJkNSqVSVgXoKw6l\nq6bH42jVfvGLX2h7e9sOqaf8PpfLWdoU5g62Dlvkg19AM2yNz6ZIsr1Eewxfxcxzo2cc0ohf//rX\nxt7QCoCjdvr9vtbX17W8vKzvv/9et2/fNvviA/RgMGh9w2B2uEdspGc1rztoANpsNjUzM6Pj42OF\nw2H1+33TpxEEIEr/L//lv+hv//Zvh/rk4Yf9kWnMJ0H0999/b/vK64Klq0bfsJ2vXr3SvXv3NDEx\nYWtIklUeM0fsn263a+xsv99Xs9nU6uqqEQi93lVnfvYT7xOJRKyJ8XXHW68K9P+n8zrdeUmp3bt3\nT5ubm6aVajabymazWltb0/T0tF68eGE6CBCur2yjA248Hle9XteLFy+sDHd6elo/+clPLMpbX1/X\n1taWBoOBXrx4oampKctbo1Eh4oMB4owitD8YCiIfgNnCwoLS6bT1IwqHw1pZWbk2IGD4Eut6va6P\nP/5YFxcXplWBOet2u9rd3dXBwYGlBaimnJmZMfrz9evXBhT+6Z/+SQsLC9YoE0YkmUwao4Sm7eLi\nQpVKxaKQ8/NzLS4uGhDx5d5fffWVGbdkMqlsNqtqtapCoaB6vW5HEZyenprBnZy8PLQVRuEnP/mJ\nWq2Wbt26pYuLC/3DP/zDteYPw0GqCnAKK0ZKCZEqQIe1Rc8p38MKJ+UrKqGV2bxTU1P65S9/qXg8\nbqmpiYkJLS0tDZVP8+wikYjee+89u06EvhgCAhNAKNd5cXGhWq2mUChkjEu/39f+/r6tXUljsSwM\ngiLvgLhX2NHV1VVrtXB6eqrl5WVr0sppBZ1OxzQqZ2dnBlS9YyFAOTo60r/4F//CeuBgvL1+T7o0\nzj//+c/V6/X08OFD3blzR3fv3lW1WjWA4NkNmAocJM4BNpY03fr6uhnscDisd999d6w5BCwiBPfi\ncS9IHnU+ODF+znOFrfTAzLMZvtDhTb+TrgJfnissRTQaNWasUqnYgb3YHN4PQOc1nb4r/2jLG1+d\nfJ1RKpWseCmTyejo6Mj2idfGck8TExN2viASk/39fV1cXGhzc9OeCXuaNUaTVq/NQYtFUJVMJi1j\nQgqNQomFhQVrSwKzNTU1pR/96Eeam5vTwcGBPvzww6Fmr6wHikUI4Gnp49sKjTt8cNRoNJROpxUK\nhUx2409B6PUuj1aqVCr68ssvTfuFBIVnSqEDr6lUKtb4mEAGnR2+FJtCANTv97W9va3NzU07forn\nShABSUPaEID3/fffq9PpKJvNqlKpGHj2FdaSLGClCek4462nAqWr421mZmZ048YNHR0d6eDgQDdu\n3ND09LRyuZyOj4+VTqf105/+1KIecs/r6+taXV21yMkL3QE03W53SEtweHiobrdrjR3fffddy0vT\n2Rumhz4oNIzzrRl4WGi1MPh0xuUwYRz0j370I6XTaR0dHanZbOpnP/uZ/ut//a/XnkciTYwjG61Y\nLJrGho1/enqqo6Mjzc3N2cnihUJB29vbVrL60Ucf6fXr13rx4oXa7bYdJUP/How0c+BZGMqp0dc8\nePBAv/rVr7S2tqaLiwstLi5aD5dWq6W9vT07bfybb77Rw4cPFQhcVpugaTk9PdXnn3+uer1u6Z3p\n6Wl9+OGHOj8/19///d9rZWVFP/rRj649h61WyzbR0tKSOXfWEw6g3W7r7/7u76xpnRcQU9BAbp8o\nHQEymxVn5IswfAfrTCZj0S8MKimIweDyvLjj42M7143PJzLz1Yqwws1mU1NTUwZUIpGICd8xJN9/\n/731xbnuiMVidgYdESLXBdPJfjk/P9d7772nf/zHf9Rf//VfW+RL1O2bY3L8D2s9GLw6xPz777/X\nO++8o7t376pSqZhjJlXL3Pn01h//8R+rUqno8ePH2tjYsCaBrGGuEYDn00EAgXa7rbW1NbMP9Bab\nnZ3Vd999N9Y88rn5fF7pdNoYJ2wadsqvC+/4/f3iXP3feu2Ul2LAGI8WIYy+B9cA+ENATRqWqitf\nYei//Drlffxzgs0YBxjUajW1Wi1NTk6aMLxcLlvQTdrRO2/pKmVFgHJ4eGi+hXXJ/Pg555lR6Ucl\nYTwet/3YbrfVbDatzUI4HFYsFhvSsGHjNjc3NTMzo6+++kqvX7/WxsaGrW2vn0LLBeOOFmw0qLvu\neP/99/XgwQN7lvF4XMVi0Ric0XTx/Py8VYF+9913CgQuC8Y4BQTQTOsU9KrZbNba2ND/z2t7qSqO\nRqPW2X5/f18PHjzQO++8o9XV1SEGFKaWDAhFFEdHR3rw4IGWlpbMtmcyGQuieb6NRkP9ft8aDY87\n3mqDUP/Q2YCJREIzMzPKZrNWSQe69aX/RJhUXICkoQJ9fxbQL8CDdALMERvJR6SLi4uSZJ+Dk+Ws\nMlozsEkxEBh/mB1YLZwGwsnd3V3t7+8bG3bd4Y0kbRSePHky5OxJNTGHFxcXymazVjqbz+fV7/e1\nsrJi1Sx0/yVdde/ePXsOL1++1NHRkelzSFnV63UTrKbTac3Pz5toG9Hv/v6+arWaHQrbbDatOiYW\ni2lra0vZbNbo+qmpKd24ccOKD1KplO7evWsHIv/5n/+5dnZ2rHXBdQY5ewzb6uqqUfysSzae737O\nmvL/BgIBJRIJM5Y4RSJ9ngcGqdlsGiCg5J00eLPZHDonr9frmV5gaWlJL1++NMGqdGnkEN+zv8Lh\nsJaXl+2g50ajYQJ7qs9CoZBKpZL+5E/+ZKy1GI/HraHpT3/6U73zzjva399XsVjU/v6+Mc4AmMXF\nRUtJUqVIWpkydaohMdwY53K5rO3tbeXzeRO6Ml9etAtwBAhjoJeWlhQIBLS/v6//8T/+h9577z1l\nMhnrV4UdgF3EodE9emlpyaJcnCHBxmeffTbWPOKkY7GYFVAAVPzfAKpHRcpvcqjYJP9/D5z4HffO\n+/gKYECXfx/AHjYReYYPcL3Ox4MIAjEvGqbnFXb3umN+ft4qxtPptO7fv6+vv/7anhXXQDqO+wWY\nsj4fPXqker0+dGg98wL47vWuzlCkfQXSE3Q/zWbTDinm8PFUKmVrm1Qolazr/1xZ/tFHH+nbb7+1\nHlaSLLBgfZLaCgaDVpwgaSiNfN0RjUaVSqX09OlT8wesT6qZJdm+ouKZjBNZKK4TWwnTDxPU6/VM\nJuNT1r5ACTZ5MBioWCxqeXlZ8/Pz2t3d1fPnz83nwYaen59bexb0blNTU1peXh7SvSYSCWsL4RlZ\nUrjY+nHGWwNWGDuvFSBSzOVyloNmMzPZkoZQKJoedFewJ/6BQPfyuSx8qEqQMQuRXDhGw+uhfHSD\nsYMZwGkA1kD4tC/gfLNWqzVU1TXO4Pp8hAndurq6akCS5qt0BMZ4zs7ODjVp6/f7unPnjlZWVswo\ncAAxzyIWi5kwncWOBgidVqvV0t27d3X79m2b21arZboqmsAiVk2n01pcXDQjB7sRDAaVy+X07Nkz\nVatVZbNZ3bp1y1KRVPKMpn3+kAEDiobm/PxcqVTKhKE+rUz3XrRpgCQf5SKyxDn6dhxsWpp5lstl\n2wtUoLKO/NrjWaNTmJ2d1d27d3V4eGil5TgnWBeOGPGNdZknPkOSDg4O9Dd/8zdjR2bss3Q6rXff\nfVfb29taWloaOnWeLvL0EvqzP/uzIbofBvP8/Nz6eeF4ut2uASp6XMEqU/WFc6L0fzAYGGvgI+Vb\nt26pXC6btuu3v/2tZmZmlMvllM/ntbi4aCkubAF7d3l52UBVMBi05xwIXLY7GWctSrK0J9E+DIWv\nqpOuABHrw7MnnrFg7liXXrfi2SrWsU8vSldalbm5OWNjJdl64XNwugAOronPgkng52i72GNcY7lc\ntiNGrjtisZjy+by63a4BvVwuZ6xEMBgcStuzd5kTNETpdFqPHj3S3bt3bb/DCPH88ReABK9NI8Ch\nTx1zRpd/9FzMAbqemZkZLS0taWJiQh9//LGePHmiWCymVCpl7CV7xmt7Aaw8i3GPtIHJn5i4PF7K\ngyvvkz2Q9+fXwugShHvgEggErOckqTsCK97T205SoQsLC+p0Omo2m1pZWdHGxoY9U/ygB+9oTwni\nkUnARlP0VSgU7FB2b2d/iH6TbzUV6KMmHxWROsHRe1qfclycPpQrbAoLlE3s6XEvloOBwqCM9oUZ\npcu9c8Pw+0jFp27YVAgMc7mcUaTBYFDNZlP5fN66TY8zmB+/GEmrwP4BhhAY+h5GzAtnPKEho1Em\nOgE2Eyks9DoAViJ7xMcYTqIEyrthFcvl8pBwlA3HZvBCWSKeeDxu57Jxn0Q94yz8p0+fanFx0Zyp\nJB0eHtp1+BQU18kBoAA86QpYEN16Y4NTRDBOunF2dla1Ws0YJdYe69l/JuszGo1aqnlra8tObgek\nevaM5wBbxrzByMViMa2trVm7g3EG14hw/euvv9bs7KxSqZS1MGi32yoWi8pms+r3+8Z2FgoF67eF\n6PXi4sIceblc1tHRkQVSmUxG4XDYqouIokmHpNNpazZcLpctzUlaNB6PWyd29snp6akKhYI1GiXV\nB7hjb3iWKBAIqFgsGusZjUa1trY21jy+9957dpQO4AONlS9+4BnzryQLJkezATCU0pWGi3UNCwNI\nGAVqnilkLcJ2svf4m9HXck2jtpXr4Pcwu/V6Xfv7+xYcXnf4kxPYx9gZ6YrJlGROOxQKDTFYZ2dn\nlrl49OiRpQRZg/iP35d2g0E6Pj4eYlOp6sMG+yp2z8wmk0nrkbexsaFv/j/23iTE0jQ773/uPM83\nhozIsaqru6qkrkJFaXCb9thYFgb3QiC00co2WlggWwhJGLzyWmCDwNgLgzHYeOGFrI3btJqyWo26\nW1INTVdVV2ZVRkZmTDfizvN8/4vw78S5N8ttd9wgjf/cF5LMjLjD973f+57znOc857wffKDXXntN\nW1tbNm/0SCSgBVQsFpca3y9/+cvXnkPp6jmiHz05ObHCENYE9w44Zj7Q36EV5LXsnVarZXu0XC7b\nZ/pUNJ/r18xicdnzjupiquA9yINEwOchtYBpI00oXR1Y7yv7eQbY5FVW+CcdL1S8Ll3RzUSUOCdo\nVzYAlWkALDZiNBo1Y8fnYWRhk9g4PDAiKr7PI2jvkPz/PXtFxE0+3TcAxQjyXaRiyKffunVLiUTC\nNtZnn312Y3PKPZE+JQojnUKzOl6LkWa+AZs0cyOiJ1IAsOKQK5WK9vb2rGEjDeIw5F6PIF1VGiFC\nZx7ohg9w8xuK9Obu7q716Pnwww81GAz0hS98wY4+Wafz+rNnz4xB+oVf+AUrGa9Wq5pOp8aCQDET\nqdVqNUsbM3esF88yYBRYJ5S8D4dD0/rBZgKcqLDxgM5T48xPIpGwtCqFBERvBBEwOESEXB/iWJrG\nXrddhR+sPw6KzmQyVo5+dHSkTz/9VA8fPtT9+/etCCQej9uBqovFwuj7o6Mj67RP6sTrLzh4HEB/\ndHSkZrOpVCplZf6tVmsprfDd735XkvT222/b+vLHChGokcrmNb5ZIYw0bNXTp0+taOWLX/yivva1\nr+k//If/cO05fPPNN5cCPwAR4Irnu2qffHDh9xLpbOwea4hUOwJs5sEzRR4oAabQlrLvYWx8MLQa\nOHP9XJO3k+gAOcj67OzMCmquO3xLhG63a6kyX8EoLQNRUvysL57x/fv31Wq17LSDdDqtnZ0dO1QZ\n+7ia+uQ90uUROzQRxQb7lBfPFjbMFx6QinzttdcMTFAYRYEPbYfQIdH0FQ3xdQcsGhXfXCOyCPrF\n+WIAggH/c3wjUhSO+ME/Q1CQBvbyHUnWif/s7MwOW0+lUmo0GsZ4ed2zdNX1n16JBLcw294u8x4y\nJYvFwlo38VnrjBd6pM1q9YIXEq4yTmwyjMNisTB62uc/Ec/SFI6UCIYFgEAqEdQqXZV0emDlB5uV\n6I/FjFaA91MCi7Ejkt3f37ejDlhkNzWYQ4wmWhEWO5GYB6+eWeMzALxPnz616OrzDPbe3p7Oz89V\nr9ftTDZfyeEpaB/Z+e9hs8FUcO1+M/IMv/CFLxj7t7W1pSdPnlgVJ+m0645PPvlE0+nUmmsWi0Xt\n7OzoyZMnxk4OBhqw8XIAACAASURBVIOlaiaidrqDAxSJfLxxptUFFTCUo1OJyLV7hw0oZi5wChRJ\nwIyxxmAEV1lWrmE+n9v1AsAIQNiH6xzA7K9/NBrp008/1a/8yq/YeV2BQEC3b99WtVrV06dPdXFx\nob29PevaDKtJ5B4MBm1NeD0jew/xfa/X0/HxsWq1mv7sz/7MqkR96jAYDOr27ds6Pz+3cyc5/gnn\nBAtEKsIHHlwT84kzDYcvjyLimBK6N69bFQio5pmzRnzazl+bTwHyHDyw8ek3Uk0EiJJsDdTrdTUa\nDQumeA6j0UgXFxc6OzuzIiDSZkT+nxeMMgBUVF1hDyaTibEtpIj9eW3rBEsAdpz78fGxXQfP06dC\n2eerLBbzRgNMBOg/+tGPrE+Wr6wm5UVQhK6Rz8ZZe5/nnxFAz6fqeUYEy3SGPzo6su+jKh6QUq/X\nValU1gYEq60j6L+HPfN/8KVkc/w6wF9j7+lwD7P8wQcfGEiKxWJ68OCBFW+wB549e6ajoyOrPs/l\ncgqHw6YrW2VescOweQja8dMQNJzowbUvFgtj21YZs+uOF9p5XbrSfZD/x+FAwbHwoZE9E8D5dl5E\nyCQEAgFLbWA8cXC81iNbn+fGQKzqGmCnfJTgEbHPfWOQ+C7fIJKu261Wy/L86wxvWLne0WhkoMNH\nbyw4nK+fVxZstVo1Cte3amA+JFkF28XFhTlHaGBpWUDrUxPMMfPLOVlEbFz/eDxecv65XM6Oo4Ce\nbzQaev311xUKXTYeve4IBAJ6/Pix7t27p+3tbZ2cnFg0CUDyjCT3yHoiNbqa3/cCaP6fTCaty32j\n0dBgMND29ra2t7ct1Y0B8mly6ep4kvl8bgaI5+/nFAPnI1+fIob5hSUOh8P66KOP9N577117Dvk+\ndFLvv/++vvzlL+vOnTvWMsEfnXRycmLnVZKiRAsBW+0LAyhX9wHNdDo1tiUajVrpNesJVsWfg/n1\nr39dqVRK5XLZGHGYOphWKlC9+JdnDgvI/gEk0w8KJnWdAcDDtrH/CFpYg6spNc/MeXuwasdgpZg7\nwO4Pf/hDpVIp/Y2/8TfsaDDpMn36ySefaDwea39/3/YG7C2tVHyjR88CeSCIbSIgHQwGarVaVsXH\n3uHg7esOJBbsrY8//tjun+sExHlWwoNVz7ZLl4CVdUQncgAFaVIfuNKGhnvmNXwXcwXgBNRjk71e\nmGCKz9/a2rJUJ0daQSrA2vg1ct1BypNrptO8B39oTiVZgMJ84RNZf7TR6fV62t7eNiH/Bx98oI8/\n/tj8/0cffaQ33njDjjtqtVo6ODjQ48ePFQgEtL+/r7t37+r111+3eaPXFqy8t9eLxcL89GpmCnvC\nPQK8Yeb+nwJW3Bz/ZoH7lJt0VeJLhMRk0NcH5T4TmUwmrVLKpz0QyZHy+jy62gMqJpTF7SMuHhDU\nKGCL15HThyWYzS6rvB49emQNHjudjhmldccq48fmvLi4sMaPfuOvGmIWfbVa1cXFhZ0yTgmsfy4M\nKnjS6bS1jnjw4MHSdfhnzc/9NdIVHDEizwMnyusw5KwRug8TgUQikbUob6LF999/3/p1cW/e0NL3\ny2ueFovL/jGsCypAvVaQzw+Hw1atRPf0QqGg1157zVo1+DSXZwA8M4VQnXYOGC4Amb82ryv0RoYg\nBmdJF/51BvfJ/Py7f/fv9Hu/93uKRCKqVquKRCLa29vTgwcPdHR0pEajYYEOThcm2QutSbv74yU8\nQ+LBPuvKp/196XYul1OhUFAmk1EgENDe3p69h9Q+8+r1HoAsghJs0Wg00u7urh48eGDasYODg7Xm\nkWADQE/1lQfvHmBJWmL1PJjCJvFcvB1gTeD0aQNyeHhoZ0zOZpdH9bz//vs6PT3VL/7iL9oc5nI5\nu0bS0pKWiny8U+WaPVPV6/WMRfUFR+yB6447d+6o2Wyq2+3adXm2DP/g06xeuI7DhSXC4frCEGkZ\ncAOWOKMW38A6xV+Qcl1NzS4WC7VaLQvC/HPkhAHSbGj/ePa9Xk/VatVSj8hk2BvXHQSN6Mq4X1Jz\n9MfDJ/p58b4VGw4pUSqVjI0qlUr62te+pkQioYODA52cnOjx48f69re/bfuzVqvZ+7a3t63IhL58\n2A3sBXZhNeBl7nkmnU5HZ2dn9pywE9hwrn2djIj0gjuvey2KdAWwfF6en/sIolKp6OjoyKo+iJY4\neoT+PPP53FT9k8lEZ2dnikQidiCmpw6lq5YP3hgQcfl8LQCLRUIVAboFnzPHIeBQENl973vfU6lU\n0snJydrzCJDyRoHUX6vVMgYA7QopUe6ZyEqSdeam2g9hpWcPcXxUjJRKJZ2dnenp06fWKBFdDxvb\nb3AcO6W5sIc+VeCBmU8Jz+dznZ+fazAY6M6dO7q4uFAqlVqrSzODs+oAL5whR2RJlO2jQfL1gCIc\nNvNH9APIh8bHWNEYs9lsLvVuQrNGtRkgHUarUCjo9PR0iYonZYjRZvhgxANkn4K8CX2Vj8YjkYjN\nJ/3I+v2+nfX30ksvqV6v23mKnunA0a9qJSSZJACw6FNapFz8+sEOnJ+fK5vNWtDlU7TlctmcrE9b\n0QbCV/oyl1xnt9vVz/zMz+iLX/yifeef/MmfrDWP//bf/ltr/tputzWbzfTgwYOlNgheI4S98XvN\n7yVJ5pRhKH1lNWdhFotFAzmAEmzua6+9ZicURCIRC2Y9S8brfQWxn0/WoO+s32w2Va/XTQhPKpLA\n4rojm81aY9/FYqHt7W09efLE5on1xLV64Ti/47qxj6Teea1n/QkMuW6vNyIdxVl1oVDIfFQoFDIW\nmZMcYCxns5lOTk4MqBeLRQs+8Hs4fQCQz9pgq9YZXqoQCoV0cHCgu3fvWsU0cg06znuyhP2Jnonn\nSfPpQOCqqepisbAD0Kn2Y52zR0mP7+7uand31wIB7A1tLZg77B1z5XXdkC3NZlMnJycG7L1siP2B\n71tnvDBgBfKGMfHAAEPmDQmLvtPp6ODgQA8fPtTZ2Zm2trastT8VQdCNoFlJ5rQ4KJUH4qsBpCs9\nEBvQM1V+MfvXrAo3ATewVaPRyM4ZGw6H1tvp7OzsRiqxJC1t8kDgsmoNnRVpNVJNq2kEn4uu1Wpm\n1Ils/YGXiAzZvIlEQrPZzMrSOWcQ40sE4NNTaBFY4N6QEdHhFGClcKAcM5TP582QADjWmUMM5bvv\nvqt2u21pVCJxKHCaDkqy/D7/RhdFepD/Y6wrlYqePHliKY9CoaAf/vCHeuWVVxQIBCwq4wDner2u\nQqGgeDxuOhTfowpnCbjjnCwMv2cofVQsLfdf+9M//VN9+umnN6L584FRPp/Xu+++qy9/+cu6deuW\nQqGQrUkv0uXZcR+wQh6osU5JL/h9zXOBcSIdwjpdLBaWJpjNLvWXvrq40WhosViYsBh2gGe7qsMk\nMmZe6dhNVeKf//mfrzWHgFCASKfTMSaCCJw/kpaidA9eEBqzDtnnPq3BXBNIUEBAt3t/PNVLL71k\nulbsg880cP/+eTFffm9TaEEasF6vW5+/o6Mjqx5dx5k1Gg0r3FksFioWi/rss89sfa6m+bBF2CrY\nDh/0E9xhryR9rv33z4fWGchRHj16ZHuRExRGo5Gy2azu379vldaxWEyTyUSnp6eqVCp28gjXEg6H\nzQ/BaKGH8qm6dVNYPn1MJmEyuTxomZ54hULBni1pe/YRelH27WJxWaGODCIUumzD8/TpU52enpqO\nj4Ig3gM4m0wmOjo60nA41K1bt56TAYEdCNg9iPcMt1+HrVZrSaLiRfP8//8ZYIVx8mks0C9AgNfY\nxYXD6vV6qlQq+uyzz6y6CIMQi8V0dHSki4sLnZycaGtrS3/9r/91O3V7OBya4A19hNf+SFdUOgaB\nlBd/+BmIfLW0mU3rtU4wPhwG3Wg0TODrmZmbmFMcKSXmGGKcGDSnb/M/nU7VarXsIGpSAL7jtBcm\nekqbz5xMJnbEBz8H9RMhe2oYw8Uz52c+uvXglkrCXC5n1PNsdllR8ujRo7Xnzev3PvnkExNJQlmz\nuQB9AERfVQkzCLDCMFQqFT179swODkePs7e3p9lsZkcP9ft9tdttayeAaJN+aQcHB6pWq+r1etrf\n31e5XDbQTpTlD8/mngDXXiiLju373/++vvnNb66dMmAefVo9Go3q5OREH3/8sV599VXbq4HA5RFC\nBwcH1mtKWu7/Q5rK0/iI1fv9/lJg0Gq17BnSLiMajZqjWY2O0WPAHFarVY3H46VK1dFopNu3b5vx\nx8muArZ+v2/PMZFI6I//+I/XDpaoXPPRcrVaXQJ1zLEHB14qMZ1OrT0EhQGronI/79iFQqGgYDBo\nztKDMfawDyy9zSH1RBC3GpyiR+Nv1nuv19PLL7+8dB8Ah+uOx48fm56PoJv2PB4YS1fSBc90+jSQ\nf/7co99bfA6sEXPC59B25qd/+qe1v7+v4+Njkw+Mx2PV63VdXFzo448/VjabNbvLc3v55Zft9A8f\nkHjNGoGFBwjM5ToD20N2BraMysaLi4sldhD2GR8uXZ25h63n2COC9mazqUqlYud2rhaqIWlh/Xa7\nXTUaDXsOnI3J84EpJIPkM0wwaKxBilv83Pl+Wp6wWGe80AahXDiLAHRJ2oQN7cWFGMhkMqmzszN9\n8sknVhqNQX7llVe0t7dniB/aknJMDtUkTeejDH7mo2NAGIgYgOWdiGdaMDhEcclk0hgWAORf/MVf\nLEWd1x1cAwYBapiFw5EH0M044dXjaCijnkwmOjg4UCAQ0NHRke7du2cCQhwyOpRGo2F6JwTC/rxG\ngJU3QhhZL370LCWgCoPF3Pomc0SVg8FAz549W3LO1xlQvnzvYrGwz6RyhJYVPFMYVYoSMBK+IefJ\nyYk++ugj03/5fi4AVo43wmjdvn1b8/lcBwcHevDggZU0n5+f6/Dw0NoLtFotE1rv7e1ZRRB9sRCH\neg2TF5gSsf3lX/6lnVG47lrkOUtXgvpgMKg//MM/VC6X0927d20vo4+k1YN3Tj6tBdjCCVerVQts\neB7SlciWNCogC4DqKzsTiYSdX4lDOj8/1/n5uRaLhb785S9byqZYLBqwZ234fjeAaNbFf/kv/2Vt\n5s8zi6yro6OjpSIU5mY19QIg4R69Rm9V+7gaxAAg6KnmWQL/fhwl1+G1XvztbaZ0lTEgtYl9ooUB\n+kXsu09ZX2f86Z/+qTX4pEfZ4eGhXn/9dVv/sL18pxc0ex2l1+pgJzwr7J2515d5IEugQaUb+kZY\nn1arpWq1amlYiguo9uMaPej0sgwyCaTB8JXrMlZogXkm9Lubz+d27AuHRFNwwNmFwWDQgqBAIKCT\nkxOFw2HzL9PpdEmAT+Wk36+ercKWIcmgpUo0GjXdaTQaNe0Wdpb95DNPHDl2dnZmKX2CMp9JWWV4\nrzte6JE2IG8mnsmiOoh28oPBwCY2EAjo7bffNj3FZDIxp1Qul60cH4q70+no4uJC4XDYjvaQtES3\n+oob31IBw+MZKybdaxeIGnxVINEEacmLiwtFIhHV63W9//77Zshu4qEBTj244CTy27dvW8XeKgUO\npQ1l7vUE7777rnWjvXPnjh29gzYAyrrX66lUKlnXcBYi989cr+oXuB5ex7z51CD/Ho/HpotjsYfD\nYSvBvQkDwvX5SBlNFAwcejPPtnnNA9d8enqqTz75xFoN+ODBMxA4DtYOEV4+n7cGeNlsVpVKRQ8f\nPjRRLPMHO1atVrWzs2MpWUnW44ljH9AwcT+wlLVazX637vCMiWdIx+Ox/ut//a/6+te/rv39fQP5\nW1tb+vTTT3Xr1q0lXRCOSroq1b+4uLDGfrS4oPoJtgTH41lVPgMGNhwO23mZ8/lcz5490+HhoTqd\njnZ2diRdlpTTVBBnsaqxYi0Oh0MdHx/r/Pxcf/RHf6R2u71WmwBJtsbZL7FYTBcXF+ZoWDceYHlm\nGmCPPUN76j+fNQA4IFghzU4qFDkDAMLvAS+F4Ho8GEHvtsoW+j/tdlvf/e539YMf/ED37t3TxcWF\nOdJ19vRsdlkwRCFCKBRSvV43gTWfDyvk2Q72tGedfBDNPvKFIbwWX+I1qf5ZYUtIpXICCMyiJNNp\nYQ/9+zlkHL+J7Vh93WpG6LqD4qpoNKpSqWTBU61WMzLjyZMndl87Ozu2H8lkxGIxnZ2dWQX5j370\nIy0WCzszFqDU6XQskKWFz3R62Q8L4OglNpJ0fn6uaDRqXdPD4bA1Vd3b27NqSdgyAkrapJyfny8J\n64PBoBEwzONNZJX+rxzCvFgsjK7tdDpLPZBYuEw4Eembb76pYrFoDBeUKzQkhmB7e1v3/2czQha/\nF9l5wd9q+s8bAn7mqXBpuWswr8WoI+g7PT21Hje0aGDj3QQg4G/AGp/rm6gOBgNzFix4L2KFypWk\n1157TaFQyPLe/X5f+/v7ymQyikajunfvnmllfGm8dJWO9FoEItpVvYLXUXnH6pkjfk7nYlIzlN9+\nXiT+k45VNg1tCGsETRROhefM9RFhBoNBHRwc6PDw0LRYGD2fQkITxNoBXMI0SrLU52Aw0HvvvWeA\nNpfLmcNivW5tbRlL5SuHOGz87bfftmM9APqSjCm4CWDKWHUmsD31el3//b//d/3Vv/pXreikVCrp\nww8/VK/Xs8iS+SFqRbPhtYCTyUSVSkXD4VCZTMY6t/N75hJjCpsQCoWstxH2JhgMan9/3+Z9Mpno\n+PhY+/v79vwBbdwLLFCtVtO3vvUtHR4earFYLKWa1hmrDFMoFNLh4aEBaNaoD8w8O+LTIP1+X8+e\nPdP/+B//Q5999pmdn5fNZi21xPPy5zR67QosHXYakbVP9eNICTgANJ51huliLieTiR49emSH1B8d\nHdnnS1prTXpgzpwsFpdFPRzq7QNSD4R86pP3rmptWI/MF398epE1zP7i8z077ns+pdNpCwDwH8wd\n18KahlGETcRuAoKl58+HvM7Aj/rUKJmQTqejYrGo8XisZ8+e2TWXy2U76WM+n+vs7Eyffvqp9Z6r\nVCrq9Xra3d1Vs9m0Z8PndzodSVo6p8/rexuNhiSZTY1ELhsEUwBAA++trS1j3Aha0VVVq1Wdnp6a\n7aFyFP0vmRa/B9cZL7SPlddUoJ+CLgYYSFeOGfSLHuL111+3/DIRv6dkEV96nc98PjdRHcbLbxBP\nsXr0z+LFEfEaD8B8LpnronM06UgfIa5qJK4z/MbxYM2DPJ/69NUOXAuODEo3n89re3tbp6enZohg\nqBaLhXXJ5jO8DsP/DADnWQy+j5/hSP01+3+jh/nss8/sXihCwDHeREThDafXYLChPVjw7Se4B0AK\nYtRCoWCgAOBEIzs2viRbTzgnP2+sRyKsaDRqrE08HrfneXx8vASo6Bg+n1+2EfBn7klXDSEbjYYx\nXx4IX3ewn3z6hMgyEono6OhI3/jGN/TgwQPrcv7s2TPrEs2gZN3rWQDyMA70v/HVbvyfQEy60vLR\n34qUBRWBgLTj42NrqEgbCApjCEZW1+cHH3ygH/3oR2q325b+4N7XGZ5lYJ9cXFzo8PBQL7300lKq\nhfXHfQKA+H0ul7O55qy0xWKhL37xi+Z8SCUVi0VNJpOlA217vZ4uLi40n8+tmAPgFYlcNqUtlUrW\nXd8zX6tslQ9GA4GA6vW6Dg4OluaNPbcu08JneeCEHg9bhv3GDvo0ng/8Vu0bz4j9ArPi176k53pl\ncR1+faA5A9gzX745MuCK10sytoj1CJvjA5ubGKQjmVNOj4jH42o2m3ayAVXZi8VC7XZb29vbphN7\n9uyZnj17Jkl2MgKd48lccc+sDewSwJ9gAv0eMhYIl2azqclkokajoWKxqG63a60a8MuhUEiNRkPH\nx8fWjBSbgj3gZAcf/N9EUc8LBVarDpG8J8YC5E6qYj6fm9aFn2M0F4vLyh/YKK8tYYJ8OgqjT1qC\nyWPheqcJ6PKVgQAEGAevEcKJ0gCUzeRTCYx1jfDqZscBeN1aJpOxOQDhS3pO30R0Il1qYEiNEP3D\nsmBAWIBEq9yPvyb/Mz+vq3+IaPm9ZwoBficnJ/bcVqn5deeQ7+RZeTE7983P/fNkvcCuAI7m87kZ\nVS+KZc5XP8s7RMAbWhkOcqa6BoMLQOj3+0u6DoAXRouT6Xk/jMb5+bmtFR8VX3esBgmrbEokErHm\nf8xFvV63A8N9mbSv/GP98P9UKqW9vT2Vy2U7agOjzNogBUbK6+TkxM52nM1mBnypVOx0OtYign3M\n+3mWmUzG7M7jx4/13e9+14514fl61mKd4VMTzMmf/dmf6fXXX18SpBNNE5x49tWn7t544w0lEgk7\n4JjrRXP2hS98YelcUexiv983KcWjR480HA716NEjHRwc6OzsTMlkUj/1Uz+ln/u5n7O+SgSr2AGu\n31/bZDLRRx99ZKlo7tnv73XWIyllQBv/R9OEPpKgAvAD4GJe5/O5afP8XOOQPdBevV8Cbs92e6E8\n5IG3BewB2C4YLbIw0pUMADBG0O/XjrQe48eg4p42MMwtx5BR0Sld2sDz83NLIdPHD+JjNrs8d/Zn\nf/ZnDZhjF6RLITw6MewVnf3ZB4AoAmzOSN3e3ragE7/+/vvvW7d8rpsjcTqdjhqNhj13GEb0sn4f\n+wDxuuOFASvPDHjAw6KkvNi/nsNV6QoejUZNNJ3P503fAkvFQkebwgar1+vmRBG+QTuyALyhZKGu\nprZwAB5YebbKVyutGgk27U2I170D8qzVYnF1ZIl0pTUBKHgtFBsH8TmGzZdpc+8YdYDtaikugyoZ\nz/wxMAboPQCuq6ATYMq9skY8C+afzXXn8POAGs+elAobHEPA/ProlzXXaDQsqpxOp3r8+LFF+OVy\n2QwpRhKRMhpA1nQkEtFXvvIVBQKXxxJVq1UdHh4uCdPb7bYePXqkQCBgeiqAHvvi6OhIiURC29vb\nWiwWqtfrlnphrGuIV3UlHqCurnfvuI6Pj9Vut1UqlWwOvRMhGOB+OdiZSmB6tAFau92uOp3OUt8g\nAodCoaBut2vRL/3vYGsDgYBpuObzSw0QhpZ7o5ryyZMnSyJnvucmUoEEhAQugUBA3/3ud/XWW2+p\nVCqZA/DpQO4ftpXgBzt3//59pdNpAw7oTKg8pcAGnVgwGDRgKsmcKcxruVzWgwcP9KUvfclkBnzn\najoK+wjjcXx8rHfffXcJPK4Cm3Xm0e9RPh9ms9/vW1ft1TQmTpl5C4fDajabxoT6tBj950hX+dJ+\nCAKuge+mKnaV3eKa0RlzJiDH5pBJ8Lou7CVzuyqv8fvousMz2VzvfD5XvV5fAorRaFStVsvA0+np\nqaXU0N/OZjOVy2V96UtfsnUtXdnu7e1tmxvIDn8P+C7kNF7j2u/39emnn+r4+FjdbteeBfNHxqZe\nr1vKku+l0hKJgNfIcd/r2sYXDqykq4gUkELvkUgkolqtZg64Vqvp6dOn2tnZ0f7+vkqlkgnWAoGA\nVbOQOvEsE+gf5qXT6ajT6SgQCKhcLqtUKimTyRhzIMk2l6db0Q5A/wImfAuCfr9vi0y6ciIYZnQI\nN/HA+A4WA5+Jg6eM3zdDBfwQEbTbbT179kyz2UzZbNaKAQCtkuz9pGPZ4AAC6ersJVKyhULBjPVq\nZZGP5jzb4g2N70/lU7MeqPmUyHUHbI0HuasaK3L4XDP35HUUlAlDnfOMY7GYisWitVzo9/vKZrPK\nZrOmCwiHw1YxyLojesNZoQ8CfFGZ+eTJE4XDYd27d8/2QrvdVigUsuM3vPaFyp7z8/MlBvcmUoHs\nFda1T/N4nYl0abDS6bQB19lsZi1CptOpgVk+05/N5pk7v6f4w+fj8NFYtdttew0ibQDWxcXFUvd2\n9jNiWtbwo0eP7PB0HI/X1qw7POgElHCf3/rWt/TKK69YAMT1+qpOr7P0bDGvp/UGOphMJmPn9MEC\nAEym06nZSZiIXC6nUqmkfD5vTY+5d7qUw/bTkRtZAiLld955R/V63ZwmLC9rhHu+7mC+fCUvjCUt\nDqSr5we7BavLOgNQA8Z8eojfo59lfgANpFixaT4A9m0MJFka21fDMZ/ZbNYCCOaKgIN9AjBdBVfr\nMi0EaT54ZD59oOSbqKKRGo8vzzdkHvC1s9lMd+7cMXuP7gkwSmES5Aj722dh+E5sWyh0WcH74Ycf\nGjhG7oAtBWhh7yeTyz5vvV5PW1tblsqWlnvX3QRAfWHAiiaSPHiYiE6nY9FSLBbTvXv3TEuTzWb1\nox/9SB999JEODg5ULpeVzWaVz+dVLBZ19+5d6xuEcQBcef1Uv983IEQ/HQ75RbyWSqUMgLBg0caw\nGdkEGGGMU6PRsBQRg/vE6N2EyFVaFtZ6jRAODKeVSCTMQUCD008pErk8coSu44vFZcUG2qrPE8ri\n/AAPLGbudT6f6/79+3r99deNufEOgk2FA/BROp/Lc/d6rFVwdROaFq95QxfB2vFp0PF4bMydrxrC\nAXMUEJohNCnFYlGFQsHOVoQtqFQqS/qgBw8eGJvlU6Jcz2Qy0bNnzzQYDMyZxuNxvfLKK3r55ZdV\nKpXsDELYGXqy8Ey4r2fPnhmA9uBlnYERlq6KGDwglpafG1qNdrutRCKhRqNhQBQWFBAlyVhswKAv\nmOB7vIg3FotpMBhY2oT/SzInxrru9XpKJpPWWiMUCtk8h0IhE9nW63W98847Oj4+NvDh00CAuHWH\nZ/a4t3g8rocPH+pb3/qWtZHw1+D1hj615bVAMG44O1JUOG6apOIQEeR3Oh0LsgBju7u7KhaLplVj\nL+L0vSPzlV8ffPCBfvCDHyw5LMCwdFUxvM6+xv75NHI6nVaxWNRoNNLTp08lXZ3/x71LV82ruXdA\n7Hw+tzRit9s11p7KtXw+r2QyacwHAMAH9jwL9EUcEIxNbbVatu4Ilv0enU6nymQyS2nuVTuJTV2V\nnVxnePtOZsavd0lLwJF2MKFQSJVKRel02oCP11V5f8U68CC1VqvZnOJfyVShs2S/E2RJlzaoVquZ\niJ39PpvNJAnI7wAAIABJREFUTCo0Ho+taS4FLQS3rAnYca+3Wme8MGDlGRwuGnEZTJQklctl3bp1\nS8PhUDs7O9re3l46sHOxWFjzt0qlYgYVZwXN5xcETfAo14ZyJV+byWTsQfsUn9dvYHSIaL0h4RDX\n1bJh77g8CFpneMbHO0dQPhENgCoWiy11pI/H47p165a+9rWv6ed//ud1cXFhEVcoFFo66R6k79Ob\nnm2ElkUDgiFfTfMBdD3bhmH2gnGAzOcZWa+L8inB6wwfjeDMAVUwVIgivZHzc4Ij7Ha7JvzNZDJW\n2ROJRJTP562nDgaSz5jNLs9q5AByAJe/d1IRNBEEhGxtbRnTA1DI5/Mql8t2JA/pIAze4eHhUgS6\nbkQmyZ6htHw8lX82/vcAfAxyPp/X6empwuGw9Y9if3BcCnR+qVQyBoFI05+LCbOKhoNO+IBenB8p\nIfRmOFWcXSQSsWNtnj59qkqlolarZaBUWi4awdGuO3ju7AefnvjLv/xLvfnmm2bnmANAHYGL1wpJ\nst5pPg3PUR6hUMjSIDCxMCsEopKsyCWfz1sA7LVGPmD15zvCjNdqNb333nv2fDxwlG6uTYD3K5KM\nlVwsFiZSrtfrNg8++ON17Gs0qtgF1i7ZFRwyffYIhrBfsImkYVkfvoodP+HbhmAneP5+XdFglGph\nbKefQ57HOsM/C88Ys66w7bChHCmD1ioQCCiTydieqtVq2tnZUbPZXFqP+FT0T/7kAekS4MEos5ez\n2ay9t9lsqlqtGgFSq9WWdM+QDz7wIIXrjx7DtvuMxU0Enf9bYPXf/tt/0z/5J/9Es9lM//Af/kP9\n7u/+7nOveeedd/RP/+k/1WQyUblc1jvvvPPca/zD9zc8Go1Uq9WMsh4MBlbmTwPFi4sLq0LAmOCI\nyItjKDyyJnXFACmHQiHVajXVajUrc2cT8V5fck8KEOdP+o+OsCw+r3XyKToigHVTWNKyBkxabrzK\n90LHExHhuNnAiAV9pAYQYp49wvdAgsiYuaR0FWEtxQQsTG/U/YIHXHi2KplM2hEZ3iGv6qHWnUOG\nj3BhRJhfUsek61hXiJvZkKPRyBroEVEBREkXekfsmReq1kiF83uajvrKPoKGQqFgAQIGYXd319KG\n/lpxlk+fPtXx8bHd802AU+kqperXuI+ivVaOOUskEup0Onry5Im+8pWvWDNMGAaMMzIB0gUI3wkW\ncFLoYwh40um0RqPR0tz6IIPUD6lA7zxheqmm63Q6KpfLtseZVx/MSFq7imhVj0YQCsCu1Wo6PDzU\nzs6OQqGQNfDFNpGa/zyQC6vsf0f3cxhlwDa/DwYvz6LDBrMWAQUEE4ACQJXf2zTAlK4ctAdTDNbh\nKtP5kw4+w8sjfDBfKpXU7/dVrVYtRUnw44EPfoSUv2faeR5IAAgkuQ9sGvvSAyOqM7vd7hKrRkrb\nBz3MEQwjJABV515qsjqX6wZMrAdYRFJnBITseRieUOiyTQ/MEse4sU/Ozs5szSUSCe3s7Nh+RELB\n2mTf0ex4Mrk61Bo7iq948uSJNXVeLBbW3R2Q7P0I6xhbxfmu+DWfflx3HTJ+rEWYzWb6jd/4DX3z\nm9/U/v6+fvZnf1Z//+//fb322mv2mmazqX/8j/+xvvGNb+j27du2mVaHdyh8NoCkWq3azZIjJSID\nOIHyF4uFpWHYAN65E4X5jcDEkkoB/aZSKeto7Z087AoLyf/xugSiByIcL9r1RtizLesaYRzW56Vb\nvHOmXwfNAulUywKDgYJF4b7a7bbpEZh72BiOzAB0cW98FqwgBgcH6QsEVkXBPMvFYqFsNqt6vb4E\nyvw8+lTiOmM1IvGAAINFl2goY5/y+TzdmE+DeVrf0+YYJJwW4lacH/MIGMhkMgbIARFevwaTu7e3\nZ+mtbDZra2CxWKhSqejDDz80gbYH++sOv5Yx8KsiUJ8CgAVIJBI6OTlRv99XoVBQr9fT4eGh9vb2\nDAyQhueZAP7z+bz1NpMuwSmVegDRTqdjqTNSo1wLwZt0dQwO1cjz+aWwHkHxnTt3rAqRufMibQ+2\n1hmrAdhqYMZ+brfbltKazWaW2gcMSFpyFjDY7FXWVjabteALW+dZMv9+1qSv1CaIRBqBs/cAmDM+\nOVuU36/qqLAfPti+7vBAniCHfR0MBlUqlTQYDKwnGtkNAhAcvt9jsFsepBGckvLzmQ3miGAcXRSg\ni+tj+GARx+/9FwALBtDvJ57ZTaxBBhpi328Pv8hzxg/QGw4Gi8AYO9Xr9ez4qNns8gioQqGg3d1d\nBQIBbW9vazqdant7W++9996SFq3b7apUKqnX6ymXy1kvsuFwqGfPnqlery81gKVSutVqLekjwRIQ\nBOl02uwtz8nrG73mep3xY73897//fX3hC1/Q/fv3JUm/+qu/qj/8wz9cAlb/8T/+R/3yL/+ybt++\nLekylfe/Gt7gegM8m810dnYm6Sr3ns/nzVlAP+MsWOSgYBYVvWu8jgXGgcXrFyoGA+E5RozNwOIl\nwvHgo9ls2gG6mUzGAOHqQ1mNom6iRwZzCV3s50TSkiYAZxYIBJaOSsBQSjK2I51OP2ccoLe5dowX\nIJJ75LlhbDAmsFQYHs9aocGAaaDM14NRPt8DgZtIp/IcMOr87bVlgD/Kr70wGKMXDF71qSKq4vPR\nXWCcvCPCMMHweYOdTqe1tbVl65PP9KkiemgRzQLavL6q1Wrpww8/1CeffGJGmHu8iVSgfz5eQ+j3\nAN/jxbD0S6IyEMdGpWOhULC58FoTnDlGlO+FDZAu118+n7f1xXwhFmbN8eyJ0BFeI6wtFoum2/Bs\nD8M78XU1f3yuN/Dsb8ARwm/Yvtu3b1twOJ/Pl7Qtq6lYnjkFKgSJODz2pR9eoO+dOYBrMBgsMQqw\ntzg82FWAh18zfK5n9739us7wjL0kVatV7e3tGTicTC4bJMNcUeU2m80sgBmPxyZJ8f3RqDSF3SR9\nyF7zTLefN/8e73+whT7LAjCGYYEZ9wVS3v6s3vfq/V93kNXAxsxmy1XlMFWkHNEu+n2IvQwGg6pW\nq4pEInr27JlKpZIODg7U6/XsdI9AIKCdnR399E//tH7wgx9IkrX9CAYv2yqQcTk/PzfWkbWLL+f5\nUplPehsNIdfqiRcfwPC8/L5eZ/xYL398fKw7d+7Y/2/fvq3vfe97S6959OiRJpOJ/ubf/JvqdDr6\nzd/8Tf3ar/3ac5/lResYeL+xaN5VKpUscqN6BafGg8NYBwIBiyaDwaAJAenVIi0frsnD58+qOB0j\n6gXwPKThcLh0Qjs5fNCwN+6rjsVH6+sufG+kYAE/T8weCATUarWW2CSMB4yI1w4BRD0LBfhgQ0lX\nPYo8ZcozxGBjfHCIfC8bkmfJ2W3pdFrpdNpAF7l4BvPH93+egflJhjd2fA7rEoMnXfb2SqfTarVa\n1qme9zIvbGr0K+Vy2cAYouBgMGigirVFCxCiPow4gGJvb0+lUkm5XE7FYtGqLefzuZV9U0Ebj8e1\ns7NjRjoQCFhk/v3vf98OHvWp7nXBwOpg33inuZpila7Wj++tNJlM7NDZx48fL6VgqQLGkU2nU9t/\nvB9tD+XrHojDdPNc/TEYfq9zUK4k3bt3zwoLfvCDHyyl8flc7sPrzK47VoMjH1Twe4ogYrGYHeq+\ntbWl7e1tOzeRRpjeQfg97IGvn3uYY76X/cl69EyND47o6o/zpW1AMplUsVi0de+ZL88OezbpJoJO\nAMvTp0/NKWPHsL/xeFzFYlGVSkXj8djO66PdSaFQsEIfXi9d+ZH5fG4pJ9LLMDS+chx7hw3kjEoE\n7oio8W1eK0fKC/BK+nC1VYrXPfm/1xme/cRHAoCazeZS9/7RaKRMJmNFJjD9+CMIjm63az/vdDq6\ndeuWne5B9iibzerNN9/UJ598Ygwhh9jTI/L8/NwCTPTOnCVbq9UsZci8JJNJ5XI5uy/shycL+J1f\nmzch2fmxK/n/xGBMJhO9++67+uM//mP1+339lb/yV/QLv/ALeuWVV5ZexwMHVEl67m+6uoL8idih\n+zDS6XRahULBzvgi5YTuyR8fwoL0bQIw+CxOb1xwriwcQBWRLOXbkuzgU4SNPg3kIzMPdlap8J90\nrFKV/ns8GMHoU/Xk05YMNDmkCEnxMV9er+PTFNyP13YBnjAuPoJjfnHugFRAVS6XUzgctty8H177\n4SO+dYCBr6xkE7K2PItKxSh6EZw7v+deeOaIOUldk75jXpkPIi2clN9npBx5PUANg41hr9frZqw8\nawCwaLfb+s53vqPPPvvMvnd1rGuEPcjAkK6msWCMfEWf1y3CHoXDYWWzWd2+fVvn5+d2ZhnOIpfL\nKZFIqF6vKxgMqlgsmoP37PN0OlW1WjXD6hlD6ZLVLpVK9vmSVK/XTYuIkee4IG+LPo998OnB645V\nkAEY8fPMAbSsyX6/r+PjYw0GA5VKJQtYyuXy0rE13oF4cMi/cTi+tQAOyu9f5hoGBQ0iomsarebz\neSuJ90ErfcN8tZwHBOums7iewWCger2u3//937deRzDJPrVHmwD2IrZ+MBhYhTQMB2wgc4i98BWl\nsIF+DmGfAAfNZlONRsPWDiCAgI255TqGw6Gdt1csFo0d88B49e/P2+c/yWAPo6kjqEDvRauCSqWi\nQCBgVfy+CIB7J5AjaO10OsrlchoMBnr48KHq9bpSqZR2d3eNmAgGg6pUKtrd3dV8Prc5prknxUGZ\nTEZnZ2dL69nLTZLJpNlnsl+Ad8/8ezwiXfVOXBfk/9h37+/vW2t6SXr27Jml/Bh37tyx5n2JREJ/\n7a/9NX3wwQfPASvvoP1N+JtCNzKfz+0MQSovKJFkMyIaZvEGg0HTAZH/9syHF7J7vRYPxufWAQhE\nHqT/2u22bQKuB2POzz274o0yUdu6wGo1mvVMwWr6bDgc6u2331Y4HDYH698HqAIwwGL5yhYiPq8d\n8zl46Srq9SwVoIXXAkZ9CiuZTKpQKNgGBuSsGljvxD6PFbzOHHrRNdGsn1/mhOIGDCLfjeFj/TEP\nODKANuCbtYrxxDh7KlqSHT4Ni4vOy6cp/NFPrFMcPsdEffvb39af/MmfLHVrXnWq6xrhVSodMAnQ\nxGHCxHgNj3QJmjj0mOefyWQsPcw8s4Z8hAm76qvZer2eNf2lLQo2hDkDCASDl8e/0KoFG8L80JTT\n67k8UGS+PRt33cH+9dVXzC/rvt1um9NnjofDoY6OjtTpdEw0vFgsrJqV9QYYWGWtGGj4uA4PHgEJ\nzKlvZEnASa8/0jZ8FgNg5VO0q9osz4BfZ5Amms/n2t/f19/7e39P//7f/3tztKT2uHdfvcigQi2V\nSlnTVNKvBEik26fTqbFNnmn07D77C6F2MBg0NoZ5piUA1wOo6na7Oj8/1yeffKJOp6PXXntNt27d\nsu9YBVms3XXHanqWewF80z7hyZMn2tnZ0b179/T48eOl9/CHXoA0mIW9Yv+0Wi1ls1ljothbZ2dn\nxo5xSkKn07G2E4vFQs1m07Saq76cJqXPnj1Tt9tVsVi0ferTr7zW+21es67c5McCq7fffluPHj3S\nkydPtLe3p//8n/+z/tN/+k9Lr/n617+u3/iN3zD6+Hvf+55+67d+67nPWs1p+o3kjb4ka6cwHo+t\n/YLv+op2BUADbQuFGY/HTazto1WiDEo7YbnQXSHEgwKl7Ji0lS/JRhMUCASMIcN44UT8PfHadYef\nR/6/CqowqLFYTH/7b/9tff/731cqlTJ2A2PjowlJlnJZ1Rl5QIzBZOGhP2Oz4AT5bA+6MKj016JD\nLwxPqVRSNpu1Q449M8BY1wCvztlqShD2M5lMWnk4RtXfixdakmKC/idSXywWtiZ5r6SlSBhwFAgE\nzPgSNZL24tkBQBB+EwCcn58rl8vZIaff/OY39Z3vfMcYWAyvn79106nMlZ9T72BWHbhnsfw+53oQ\ntZMaoAINZhBHgx0IBC4rLkmxElXTs6bRaNhn8rxYu6RnYVpIyxBc0EOMtOtoNDJnCrjyAGjd4dOz\nHpQy0Iq0Wi1tbW1JkgnyJVm5erfbVbvd1v7+vtLptDk6z0rzTPgur/EhGGKtERjRYLler6tWq1nn\ndnQ2qVRKuVzOjjThmVMUw9rmeWB7i8WiWq2WtQhZB+jzPZPJRG+99ZYSiYQVUvGcyHZ49tuX+nuw\nA5uKfUL2QQsPGCTWCR3W0fh6e8J+YK1SRMB8D4dDAxyA10qloo8++sjkKY8ePVK73datW7es0GtV\nB7capF13eJvhWcVEIqFSqWQVxuVyWel0Wq+++qoeP35sOjDvp1cDqePjYzsdAq2lP7AeZgvQTW+q\nQqGgRqOhZrOpwWBgZ44mk0krfgoEApbNyuVyOjg4ME3W7du3LUjwQNTPGf5mdf9dZ/xYYBUOh/UH\nf/AH+sVf/EXNZjP9g3/wD/Taa6/p3/ybfyNJ+vVf/3W9+uqr+rt/9+/qjTfeUDAY1D/6R/9Ir7/+\n+nOf5dMu3jHi2LgxFubR0ZEhd882ecctyVIvlAWDrJkw2BNvoEmh+AVN/hsghUGljFu6YnmoLCRy\nXC0nXmXnfBSwLkvg9T3MKw7cO8t+v6+/9bf+lu7fv69vf/vbphVarXr0OhU0HGg2PJuD4QVAQeev\nlgoTffE7okOvRQqHw8rlcksswWQyUalU0htvvKFvfOMbdh6kv1cPxNcxID5F66MdT2HDlBJ9wYLC\nDvEsfboY0ak3JjxvojEiWtaSZ8gkmTEaDAZ2pMX5+bnN+8XFhdrtthn/wWCg3d1dVSoVLRYLffjh\nh/qjP/ojS+lyn4Bcf003AVD9c1gNJqTlQhUPusLhsDkZgCSgaDqd6smTJ1osFlaR2mg0rCM4aVoA\nbKvVUjqdNp1POp22lgLFYlG9Xs+0bB7Q4uh5vul02qQARNjoMD377R3PTRjh1TSYj7yj0csjuLa2\ntiwd6NcKYz6/PFap1WqpXq+rXC4vrV1fEeyDFkCAT4+z1mD36EdFyhQQQ5f/XC5n/cG8LYeVIC3r\n02YEqdhR1vI6cziZXPaZ+pmf+Rn1+301Gg0LVliHMNAEAoBwUlE+4GR/M098TjKZ1Pb2th2Nlslk\nrGfVao8k7IT/XGQP6HphaEmxNptNq+7F0U+nU52enqpWq+n27dva399fSmP5YH7d4bMDsDfdblf3\n7t1bqqTMZDKKxWLa399Xr9fT8fGxBXzsj0gkYs0/mWtJS4zWYnHZhgJpyng8tuKCdruteDyuarVq\ngnQyAwTp+Xxe1WpVpVJJe3t7ltkCRKEL4/vYr6sZJi95WReg/m8Tib/0S7+kX/qlX1r62a//+q8v\n/f+3f/u39du//dv/R1/I5pWWj8TgqAtGpVLRdDrVq6++qocPH2o0Gtl5aSx6afkgT9I35MgBAxgJ\nDIXvoA79C0WNowSA+O9Ah8Tmka7OM2KsMjzS8tlDNxFRMHceYTMfbORisai/83f+jhkUovtqtWob\nkDmBoVksrvqW4PyJIqCEJS3ND5/jGURAmk/xII6NxWJ2tAtzynzV63V99atf1TvvvGPFAR6IrrKc\n6w4cI4J5n8LkGiVZzxsEqpKW0m+Slqp2MCq+Ig7Nymw2Uy6Xs2eHY6G5KM9wPB6b4QJUxGIx1Wo1\ni+hgW2HUaLiHAyBC4xoRxa5Wjl13ECixRhg+5chz8gCLuQHAAMgDgYA992w2a/uc1J9PRddqNQMJ\nMM2ebeDeW62W2u22aQtZo6xnUt6eWSZNS5Us98b1s0YIGtZN7/t1AmPs/y6Xy4pGozo/P7fn51Pz\ngFHY+Wazaal25pt7JQ0FsCcN6Ad7lipJ1p/vYk8JPFocny711zIYDJYaM/o5RzOGRiwQCOjw8PDa\n8xgMBvX222+rUCgsVd3xO9ZgKBRa6qEUiUTs/rCJq32sCEpgUer1uun1stmscrmcsXLc32r6leCT\nn9OTCVCJfX7jjTeso/h3vvOdpWc4HA51cHCgRqOh7e1tk7+saq/WmUO/PtA13r17V+Vy2fY2LRcW\ni8sGrDs7OwoGgzo7O7N1w/7g1BVE4/V63XS1ZDyazaZarZa1X2FtR6NRK4igBQ3FLWScUqmUXn75\nZTsujAOb2dP4EB+M+b3sfbYPAtcZL6zz+ucxLTgiznMC2NCzI5FI6KWXXtLHH3+shw8fqtFoKJfL\nWYNE8uFoE/hsojyocL4bWns6nVq/JhY0Ub13ljAqXmfkGTFJdt2+wk5a1p8AUG5Cj+HpXxwLUVAs\nFrPeIG+99ZZV5tAdGB3c2dmZer2ednZ2rKt0MBi0FJ0Hjhg8hNgYCg+CSYdOJhNr2uafB3OIQSPd\nwpxKl8b25OREe3t7evPNN/Xnf/7nz1G0fJZ/Rtcdnq5e/bxIJGLHw6xS+Thu5p97xTnRFwkDRxPK\nYrFoThqjwhwAxGD0iNx4zqlUSo1Gw9Yr6Rief6vVMsPmKxcBAKugB2Nyk+J1Sc99l/9Onx6CseIY\nKPYXDPVsNrOjLdrtthqNht0PwRNOEDDm1ySMCvNBpEs6A6DMH39mKEa4UqlY2s0zOF4riaNYd0/v\n7u6arZnP5wbo2TM0sTw9PTUn5effgyS/P0iRAHJ8QMvz9+/1qXdE3b6UHcCbyWSUSqWMpeIPwMGz\nXjxrbKcHFhQHYCvWAQXT6VS5XE4/93M/p5OTE21tbZmUxbPDfL+fZ/YhPctILbM3PbPBOh4MBjo/\nP7f0dD6ft8pc3zcJPwBDx/ejE0ZjhZbw1q1beuutt/T48WN96Utf0gcffGD2mf21WCxUrVbtwPBM\nJqOtrS07C3OdwT3EYjGlUiml02m9//772t/ft9YKsHQw7ePx2PRzkuyYGw8YYajQ26KH9D398OfY\nV55ZIBCw5qM+kJ9MJrpz5441u+Y5wmoBrNn7sVjM+lwxPB5hDXu/dN3xwoAV1KLXtITDYWvaJl02\nG81kMgaufuqnfsrypfV6Xaenp3YEC+kq31WVCWSSYAkw9jh/fwisz7dKWhI182ChNNE6eBDV6/X0\n9OlTPXjwYEm7spq+ghFZ94Fh2KHW8/m8JpOJMpmM9vb2lM/ntbe3Z2WmUNc4fFpYdDodVSoVlUol\nSVf9p2gRgKEn8seJewPIv4niMN7e2DIPGOFMJmN6hM/TpIVCIf38z/+8ut2uKpWK6ThwnjeRxvLr\n0P+MuXrw4IHu3Lljm5HIzKc9/TrxVaToBXD+GONWq2VGsNFoGBvCmjg7OzPnzZy32237PNK4VBdR\nCcd6RBPI/MPkSFdBjd8Li8XV8RHXHTgO/vaVtv55+tczZz6F5vcLwLPb7Zot8BoYX5FLqn42m1nn\nZUlLgJn9AvjkuUyn06UO9jCEHOzu0/mwML7azrOnPiV3nUFLG54H18Ue4jiWer1u0TrX5Rk05ph7\ngkn0+9SDRK85kZZPIuDeSPdhb3zlsE+P8RwBV/760FYSmMEI+dSqtF4LkE6no7feeku3bt3S06dP\n9cEHH+irX/2qTk5O7HM9i4x9x28gKvctEADNHiQyTwQCyB4qlYqdDOAPzPbV4l7Uz+fC/sMAvvXW\nWxZ0cPg1LDTfjf/xlZoXFxem/Vpn3Lp1y0B0IBDQwcGB/cyDEOaIzAZBjNfuAVBhl3q9nq0hSBTs\nMBWVHDPH9/H5jUbDUt39ft/OYyXNzWuRDPFcYbrYu61Wy4gIH0Qwp/7POiOwuImk7P/uS24o/fX/\np3Gdad/M4/PjJ53HzRw+PzZr8WbGZh5vZmz29PpjsxZvZlwXHr0wYPUCvmYzNmMzNmMzNmMzNmPt\nsQ5uWU91uRmbsRmbsRmbsRmbsRk2NsBqMzZjMzZjMzZjMzbjhsYGWG3GZmzGZmzGZmzGZtzQ2ACr\nzdiMzdiMzdiMzdiMGxobYLUZm7EZm7EZm7EZm3FDYwOsNmMzNmMzNmMzNmMzbmhsgNVmbMZmbMZm\nbMZmbMYNjQ2w2ozN2IzN2IzN2IzNuKGxAVabsRmbsRmbsRmbsRk3NDbAajM2YzM2YzM2YzM244bG\nBlhtxmZsxmZsxmZsxmbc0NgAq83YjM3YjM3YjM3YjBsa4Rf1RZuTs5fH5vTxmxk/6Txu5vD5sVmL\nNzM283gzY7On1x+btfh/d7wwYPWv/tW/0nw+13w+VygU0nw+twfJ3/P5XNPpVIvFQrPZTPP5XNFo\nVJFIRLPZTLPZTJPJRJlMZuk9oVBIs9lMg8FAg8FAw+FQw+FQi8VC4/FYsVhMW1tbCgaD9rnJZFKx\nWEyBQEDJZFL9fl/tdts+t9vtKhKJKJlMKhgMKhgMqtvtarFYqFAoKBgM2uINhUJaLBZaLBaaz+d2\n/cFg0K6P3wcCAf3Wb/3Wtefxq1/9qpLJpAKBgMLhsF3rYDCwuez3+woEAopEIopEInaPuVxO5XJZ\n2WxW2WxWiURCuVxOqVRK0WhUoVDI7icUCtlcBINBRSIRm2/uLRQKaTQaKRwOKxaLKRKJKBaL2f0n\nk0n73H6/r+FwqGazqUajoV6vp263q1arpdFopMVioX6/rydPnmg2mykWi6nb7UqSisWi+v2+jo6O\nbA1J0nvvvXetOfz93/99exZ8Fve5WCyUy+UUCATU7XZVLpeVyWQUDocVDAaVTqeVTqc1mUyeM169\nXk+S1O/31el0NJlM1Ov1VKvVNJvNFAqF1Ov1bC2wLuLxuAKBgNLptEajkQKBgHK5nMbjsUajkb03\nEAhoOp0qEokoGo1qOBwu/Yz1xj2Nx2MFg5ek9Gw2UyAQUCgU0mQysc/7Z//sn11rDiXpD/7gD+we\n2FvsbUk2x5Kem2tJ9n+ukffwmf5n/v/cfzqdViKR0Hg8NtvB/UejUSWTSbv3WCxm39fv9zWdThUI\nBDQajdTtdjUej5e+D/vE9X/ez6bTqdme3/md37n2PP7Lf/kvbR7m87nC4bBms9nSvbM2A4HA567d\n1fli7QwGA5tTrn8wGGg8Htt7mMtoNKp4PG7rMRQK2T7n+7mWcDiscDhsnzGbzdTpdOz7sbPS1XPm\nmlevDUNlAAAgAElEQVTn1d/X7/7u715rDv/5P//n9hmra95f03A41GAwsP3MPu73+zo4OFC1WrU9\nGIvFzP9IsnXW7XYVCoUUi8UUj8eVyWSW9jQ2Nx6PazqdKhgM2l5dLBaaTCbmp6bTqcLhsHZ2dpRM\nJrWzs6NcLqdoNLr0PAOBwNIzYD5Xn3swGNS/+Bf/4lpzKEn/+l//66V5XPVjgUDA1ibXxHxHo1Gb\ny06nY+8Zj8dmc/L5vNLptPmdRCKh+XyuyWRie5d9HI1GlUqlNJ/PbS7H47GazaZ6vZ6CwaDi8bhy\nuZzm87nta55VIBDQcDhc8letVsv2rV93PLtAIGDX+pu/+ZvXnscXBqwkLS0Ohl/wPIxYLGaOejab\n2SaWpHA4rMFgYA8BI8SmBRQkEgkz9OFwWIFAQMViUalUSpPJxJx5KBRSuVyWJLXbbbXbbQ0GA8Xj\ncXsYgUDAjEY8HpckM1QYinA4rMlkYg+Re5NkYIuFus4YDoeKRCKaz+dqtVoaj8cKh8OKx+MGuFKp\nlJLJpMLhsEajkUKhkFKplPb397W7u6tSqWTXDEgFVDFX3pgCjoLBoMbjsWazmRmcVCq1ZGQSiYTN\nKwY6EAioUCio3W4rk8loZ2dHrVZLtVpN6XRazWZTk8nEwNRwOLS5arVams1m6vV6Brq9Qb/OYM4w\n+H6TAYbC4bCy2ayKxaImk4nq9bq2t7d169YtW6u9Xk+FQkHlclnJZFLHx8eqVqtqtVpqNBqaTqca\njUbqdDrmaDyw4rmxPggGYrGYMpmMYrGYgsGgBoOBotGoGXzv5FnvfOZsNjNjzr1h3LgG79jWGdFo\n1K7dBzoMQId3AOxTDLIHe+yR8Xhs+w6QwOtyuZxyuZwSiYSSyaRSqZTdF2BhOBxqMpks7cNoNKpY\nLKZQKKSXX35ZtVrN1tNgMFCn01Gn01G327U58obX2y0PSLA564xVwLEK9qUrkOCvi/nDzuF4er2e\nBYqsKfbwdDq13+HYIpGI7a9IJKJsNmu2BKAViURsjUUiEbMr0WjUriOXyy0Fef4Z4Jz93/4+cHbX\nHX4P+PU4mUw0Ho/V7XbtGQOaAFiNRkNnZ2caDocKh8NKJpO2P6PRqAqFggUp+BzuCcAeDAaVyWTs\n5+PxWO122+YPO8u18G/W3+HhoQKBgE5OTnTnzh3t7u4qnU4/B2r98Ovxf/Wan3Qwd5FI5Llnwu9Y\nF9x/Pp/XcDhUrVZTpVIxADoejw1U4VcGg4E9E0m2/uLxuAqFgrLZrM1JPB43G9vv9+27otGout2u\nGo2GRqORarWaYQICTQ+op9Op4vG4wuGwdnd3dX5+bjaF13xeMLfOeGHACsMAEPJRbb/fV7/fN4eG\nAcTpsAhns5mBChwwE8fDky7Bh3S5qabTqaLRqGazmb0nFospl8vZA0ilUtra2lKr1bKHTsQwHo8V\nj8ftfel0WuFw2FgLIkIefCaTsYXlo6dVB3Td0e12Va/XjcGDTWFx+GsEpEYiEd29e1d3795VOp1W\nLBazufSACiYgFouZUSGKBf3jjACskuy5epYMY8x1YGSHw6FGo5GSyaTS6bRKpZJarZZOT0/Vbre1\ns7OjarVqc4aTnU6nSiQS6vf79rvrDiIrnNJ4PFYikbCfD4dDFQoFbW9vG3OVy+V069YtTadTnZ6e\nqtlsKhqNmqE+PDzUD3/4Q6XTafX7fWMLer3e0n0ASHGg/BvGYDKZKBAIqF6vL0W68Xjcggz2gP+c\nyWQi6dKor97f6lzhNDxLc52B8fGgwwc4npX2Rnk1+mYfcl+SDCCytoleYaJSqZQCgYB6vZ5Go5Gm\n06mxy+zB0WhkwZEksxc8FwDqYDAwNhKHOxgMbK0DWKVlhpzhGbfrDECjZ388yFp1mAAZwKkHTDDB\nrL92u21rnHnwe5gAk3XDXseejkYjTSYTxeNxRaNRY3pY0/6Zw2xjKyaTiQEyrvl/xbataxd5lszT\ndDrV2dmZ+v2+ZTpgMwaDgZrNptmzWq1mQJHAHYCFcx8OhxqPx4pEIspkMprP5wbEJpOJotHoUvDH\n+u90Oram4vG4+bFQKKRsNqvRaLRkHyaTiR4/fqxKpaK9vT1tb28rk8k8Bzr9vlr92TqDNeWJC74n\nEAgokUiYrYrFYiqXyxaM4G/IRITDYfPNBC34iUQiYYRFOp02OwXgj8Viki73Aj8LhULqdruKxWIq\nlUrK5/N2raz/SqVitmUwGNg+IiidTqfmY/r9/hIoxSfeBEB9oYyVpCVDAUAi3YFjB917Ywlti0EJ\nh8Pq9/vqdrtqt9vGKEkyI+yjDu9EMJqRSET5fF7ZbHbJOMBqsREDgYABLa5/NBoplUppPB6r0+mo\nXq/r3r17ymQyajQazxkPTzmuM87Pz83RshF9uhQjzaLe3d3VnTt3tLW1Ze/BgXlWLpFISJKSyaSx\nHKB8Uno+VesN2Crlzr2TNuTn4XDYvsczjYlEQtlsVkdHR+ZgPv30U2PniOy2t7ctVbhOdAvVy7Xi\nKDEQW1tbKhQKCgQu06rb29va2dnReDw2VgoWrVarGaNar9eXvoOIbjQaGZMH8OT7ScMwH+l02tJ6\nOP9er6d2u20RG/uFzwTI80wBVpPJZClliVHzjMw6Y5VKl66YA/aSTxv471zdG1xbu902Aw21D0CP\nx+M2P4lEYmmP+jQC4Io1MhgM1O127fky38yRT1f49xME8CyxPf6aSWHcxGC+AJQeiPrvJODBIXCd\nrDeid57HdDrVdDrVcDi09zIvkiwdw5/hcLhkAwBUiURiKYBiPsg4IMfwoIRr80ySXzPM603NIfNY\nr9ftWgaDgVqt1lKqst/vK5FIqNPpWHDMvmD/TadTdbtdTSYTywIAmEajkcbjsfr9vlKplNLptH0O\nEoZEIqFMJmMgwqecyHyMx2NNp1NdXFyo1WopGo0aEGg0Gnry5Inu3bunfD6vfD5vgEPSEssJEF53\nT3tCgO+C3cE/53I5bW1tKZFI2PzwjHu9nu0j/s2a9uwRwSDBZK/XUyKRUCKRUDweV7FYVKFQMCwA\nAJ1Op6rX6xakAtx8apDv51kxJ4Bc/J2/buYRn7MuSH1hwGqVEpZkmiZ0EqRB8vm8QqGQhsPhUn6e\niWi1WhoOh+r3+xoMBpbq8lET+qhcLqdMJmN5WKLTaDSqRCKhW7duKRKJ2Ebke2AERqOR+v2+5vO5\nMpmMpXay2ayh82azaYvx9PTUog8WEgZw3chWklKplMLhsG100m8smFwup3w+r0wmo1KppFKpZDl7\nok2YDza3pCUNlU8/ENVyD4Ay/niA4tlFn84BvPjNMZvNloxrLBbT7du3jTXodrt68uSJLfB+v29s\nJuzMdccqw+J1QhhC5mdnZ0flclm9Xk/1et0YKpxqtVrVYDAwlm46narT6Sw5fM9OpVIpBYNBc9j8\nDRhCm5bL5ZTNZpXP5y1V02g0NB6PzUEyzxg+gPOq3oj79ADLg+GbmEe+A2fL97Le+C5AJSkO6ZJJ\ngi3GEUtXz3w6narVaunp06cGhGKxmFKplK3tVCplurbZbKZisWgaGaJrQC6pYMCGd1CALDQesAme\nPWLcJBjg89hjq+wVTGUmk1E+n7egjrQ57Dn2Bq0jgIcBiwS44jkAjubzuYrFos1ZIpEwtsBLMljf\nXv8XDAbNYXm5hk9P47QItLwD5LOvO3eSjMVsNBo6PDw09pj7ZF9wfVyHD0olaTQaaTgcKp1OG7iU\nLsHoaDSyZ0HQ7RlXgFkymVQmkzE2BnDX6/VMjxoOh41JTSaTS+yaT6fx+1dffVV7e3uSntcw3sRY\nZZIlGRDZ2tpSsVi0e2q322o2m7q4uNDZ2ZkqlYox7R5IYlu9n2LN8TOkLGR98vm8CoWCgVICbDIA\n3W7XbCA2FNDPPYAhJNm6I4BOJpMqFArGVjKHrMF1JTsvDFixYFnMLCBoxXQ6bYDH5+2JAIjaoe+g\nvUOhkDKZjBnleDxuC1a60nBB46LPAPGOx+Ol1AAptul0aiLmTqdj1CLXNp/PdXp6apR7JBLR4eGh\nRS3RaNTA12qEts4ol8sWNaAzKRQKlscnqifCASR4cIeB5GfhcPi5VAQsji8mIK3H/5kH7g+wJF0J\ne1noAC5JxqLwO14bjUYNSPD7k5MTSbLoyDuadYY37qxNKGjSgFtbW6ZbefjwoQn10U/0ej2Nx2Pl\ncjlJV8J+nDLGDkAoSdlsVv1+fykNsxq5+03NsyiXy9ra2jJ9F/S6B3DMu/887o01yfXhYNcZnnnG\naX4eYGNfk76Lx+MWCME2cz/o0bgXQBUODCNMpMwzZN/hzABYDAItwK8PClqtlt0H84PgPZVKKR6P\nq9VqLaU2/Rys69Q8w7u6D3muiURC+Xxeu7u7isfj6nQ6xrJhg2AyAVp8Nk4Jtot9ube3p1AopLOz\nM83nc+VyOXNOyWRS+Xze0q7YDQJPWAKcEnuf55ROp9Xr9XRycqL5/LJYCOfm1+RN2UVs2Xg81unp\nqc7Pz01agq1jPmBJUqmUgXfYntU1AHsIc+pZLewXTBh7Gg0qfoE9GgwGlcvlbG9Go1Fb28wzvgiw\nwHf2ej1Vq1U1m0195Stf0d7enoETH6TcxFpk/QHct7a2bN1xP/1+38DUxcWFFSaRyWE94DewD/jp\nZDKpUqlkoD2bzapUKmlra8uCoPl8rlqtplgsZnpVXwTAmg8ELrVbrH30qaHQZdEU+4Tnks1mNZlM\nLHitVCpLmsF1QZX0AoEVBmI+n1t+O5PJGJOCWNhH7lD1PjL3Th1QBjplsRNl+WiC78eZkMrhNV4c\nTIQSi8XU6XRM1wETxmcQeZO27HQ6BhSazaam06nK5fISrb/uYNN7oSURPCk1qqW8sVrdeCzOVdGj\nT3cw1/zbP0c2DP/GKHlHz3v8d3hnTJTKnPG6RCKh/f1902GdnJwYtUwF1zqsFfcII4FTARgQtcfj\ncTUaDVWrVRUKBV1cXOji4kK1Ws0iIQAuToUojPuCOYC2BozCmGIQcFjBYNCibJ8iy+Vyisfjymaz\n2trasjQlERfOzrOJrA1JSxobSRagrDN8qk+SBSWeqZRkxiybzS5VWFItCVuCjoVAyItcYZ9YK7wG\njUY8Hrdggsoj7pMgjs+CoQAs8Gykq5QiKTUvT2g0GrZnWN83kVJdTfnh1BE6A0pTqZQJpCXZc2ed\nZLNZRSIRywTAhKCLYb/hiEKhkHZ2drS1tWUpbdYzrEEymbRCGIIMUrReogHAAwwj+k6n0zo6OlKv\n11M+n7esBHsNtmqV/bzO6Ha7Oj4+tsIE7DLyAwDfcDjU/v6+8vm8Hj58qGw2q0ajIenKruFveD69\nXs8YYRw/zx8gUa/XNR6PDSR5ZhaggI3gs70jx67zTJFq9Ho9m6tut6sf/vCHymQy9h03sQYZgD5J\nFrTv7u6a/0N+MxgMjMFnTyLw9+A5nU6r2+0qm80aSEWATtDCHiyVSjbHVBYSPPosErZgNptpNBpZ\nsQa220uIsIFko2AB/f6PxWKq1+tLdnvd8cKAlU8nEVXjzBaLhYEZ8qlQ9qBUjAQTi5i31WoZkmYR\nQxWiQWIjTyYTe72nJcmZs2kkmdDQ65IAgFDdfBe572azaYDKCwBJL9xEDtxrxdjQkkx4ms1mzXH4\nDeyrxzx4Ahx5TQYL0FcIeg2CFzjyXh+VsWgZpG+YD19owEAL4rUdxWJRkUhkaYOFw2FLx60zPDMA\nGwATQMlzpVJRrVZTp9PR+fm5zs/Pba0AsHn2np3jHlhLzAkRE8aTCBsHTiomGAxa5IoGA9Flt9u1\nlg+ACQoaeEbtdtsMBowp+heKLmBt1hmsJaJYL/zE4VIFuru7a3vu5ORE/X5fzWZT1WpV5+fnqtVq\nGo/HZojZNz4lhWGFlQacZrNZSwtmMhkVCgV7JqT/ECz3ej1jKvi3d05E1p6dxTZks9mlqkHpZtKB\nPm0qyZw0mhtvJ0mnAwDQotHOhErSUqlkqSzPOq+mGAeDgXK5nO7evWsgHwc1Go2W2qeQimk0Gmo0\nGksaFear1+uZ2Pvk5MSC5dPTU3sWyD2SyaTZgs9jA3+SATtWrVbN0WP3YcLZD/V6Xbu7uyY5aTab\nJtRnrhCWo7mVZBkC7COpZCrdALDZbNakJ1tbW8ZkHR4eWgU0gS8sOfsdNhvWdbFYWEEMwOvp06d6\n6aWX9ODBg+ckNuvaRbTOFHTduXPH7BntZMjkIJOZTqdWWEJwhO8FvAMOsfuhUEjJZFJ379419o0/\nw+HQqv68wJzgmjnzld2s7Xa7bb7Ey00omAJbsOclGQMHo4jGcJ3xwoAVQESSbeh2u23pKtC5R5Is\nchwWCxiDSiRKyg1kCyKllLNUKi19h9dT4Ox8ryw0H16vhXFpt9tGf2McQN+gZ0lGlbdaLd2/f99A\n443QjP9T/+PBje+xAgPnKW6+F0TuIxP+9uDAs1bMF4DNU/deI8W1eEMJGPasISCL7/ZGHycNi5DJ\nZHT//v2lKMmDouvOn3T5jMrlsorForVIwCkTjXW7XZ2cnKhWqxmDGgwGVSwWtbW1ZRofwD0Oyacg\nPMj0VZIAKYwRm5s0tAcErC0ADDoOypQjkYj1WQN4YLwp8CCo4fVebH+d4YMHrluSzVMqlTIHRlql\n0Wio2Wzq5ORE5+fndl+9Xs9AoK/2Ze+Rhmdfl0olW3sUoMCG0YaEa4RR8UJZgMXJyYntF/RBrVbL\nnhXgcDabWfry4uLC7A2s5zoDm4cTqNfrajabms/n1tuMa6pWqwaqM5mMBoOBzSWgEhZAkgm4JVkr\nGdYfYLXT6RjoxalxvwQVMBJoW0mFewfG52GXB4OBLi4uzMkeHx+rVCqZwyUNfxM28fHjx5a+9Uwd\nTvjBgweazWZqNBpKp9PWiiISiejll19WqVSygAkbz14lUwKbzD3zfEjvod0KhUKmNSoWixqNRjo6\nOtJoNLKeV7BozDW9xdAZYb/ZH6TAisWiTk5OVKlUdP/+/ecC+HXXImxtIBCwljHlctmq/1bToNls\n1rS6wWBQFxcXajabms1m2tnZsfkqFotmJ2hBkc/nlcvllE6nlUqlrEKT58f9cO+QFtVqdSk9DTsJ\nG1qv15cq49nv9HeknQYgDJt5dHRkNuT/GY0VRo1FSuTcbDYtkoYd8jogSeZ4cOCwT4FAwGjFRCJh\niBbBm6+4gm6EUQAMoVkhtePTVSxqn37zOgIinF6vZxoPUjp8JmieBqXrjul0apuXaxiNRks6H5+i\n8BVwDOZ4FTx5cakHoLxHugIl0hVtzPzwer+5fWQPS8L8+uhqVexPND4ajbS9va1CoWBOgJYL1x1c\nK0UPsBfz+dw2eLvdVqVSMcG0163cu3dP+/v7KpfLxhquajRwur7tBHPNvOOoYJBoVkl0iqAzFApZ\n9ZLvEVQoFAyUYpzQHbDeA4GrRocYb1gKgoDrDt9fSrpiXKbTqW7duqXt7W1zIOPxWPV63dK5GEve\nRwuQ2Wxm/ZAADoCOaDSqYrFoDA72gn5M6CHpS0U6kfdmMhkDpOg1EbMSVABGfSNJ2q9Mp1Nj1Iic\nvQ7qugPnGIlE1Gw2DcSXSiXbD1SJwRYMBgPFYjEdHx9rPB5rf3/fhMVe/pDL5cxmUr2MrUOjWiwW\nzVZgK/v9vh49erTksPgcUo7sT1IyiOdh+L0UAKaZdjCj0Ujt/4+6N+tx/DzOeB8uvbGb+957zyJ5\nRhrJdmwJiRwBMeAkl7nIXT5X8iGSXAQIkBsnF0ngLZY8kiVZs2iml+mF+9YkeyV5Lvr8ikVqcnDc\nFAbICwxmY5N/vkvVU089VW+nYxXZ0my9g2h3g1PM5/MaDG7a0SDGBwihu5mfn1epVFKlUrH0Hb9I\nPQGiYY47nY4kmZbPt2RAL4VcIRKJWH8sfB6v9S154vG48vn8t843gBXG7PT0VJ1OR/Pz89rd3VU+\nn9e9e/cm7PisA80Ye7rX62lra0vlclnHx8fa3Ny0ADCZTJouD3AOQD89PbXin6OjIyMD0um0isWi\nMpmM2QdAD2CdasJwOKxUKmVB5+LiohqNhjFZ2A2fCcIe1mo1s+eAL98aCTAFgCPT8/LlS929e3dm\n5u+NAaurqys1m02dn59reXnZwBGoFIcgaULAjgH1qSgvDPZVBtLNhoexosIAfYHvSM5n+7JNUD8g\n7erqSv1+X41GQ+Vy2X4eypBnJXo9Pz9Xp9Ox94ZiPD09tchpVnDlNxDPgvMl7YkxxFji/EiXek0H\n/0c0wSb1mgefDuTvHlT5Z+PneD8GRoQ59mCMufL6N55XusnTr66u6uzsbCIdM8vgO8AwBYNBO+RE\n5fv7+9Y3hcg1n89ra2vLKmTQPXBQmZOLiwtjjjxT6o0fETVrJMlABwJWQBI6EHReGxsb1saBVDNa\nJqplO52OGXCfviWS86Xbtxk4Md4PliMQCGhnZ0eJRMIcVLvdtsaTMFAwXCsrK0omk6rVatbLDJG1\nN5qkGhKJhNbW1nTv3j1FIhGrJDw9PbX0hBcUkyo7OzubMLQwD2iVRqORms2mMecAMphF5nt+fl6N\nRmOiSGbWARDCqRHY8e/82/n5uY6Ojmw/XV1daXt725hWUndoCH3rGHRTME0EjoDXUCikTqdjABLn\njl3w6VLaWcBkURxEMOnlEwQZaJX4P2xAJpP5lr34YwdAMxAIKJfLqVAo2M0JzIEkY1YBi9gk9iTP\nS2DH92T9o9Go6Yrm52/62B0eHk7oRgk4CLCTyaSlEAko0ADBLOPzAF6cG9YcnS+puuvra33++eda\nWFjQxsbGRGZhluF1cqQEq9WqHj9+rGw2q36/rxcvXujhw4c2f+Vy2TRf2H/PUheLRQt0fEsJ5rvd\nblulJPIfH6Qyl+xFGDIf0OIzBoOB4QXsuPfn7GH0fgRXnKdSqaRoNKpcLjfTPL4xYPX8+XPrYcGC\nSbJNLMmMqTRuDrmysqJUKmXOhtciTAQcARq8AJDNSpTqWRImno1NVMIz+Kq4fD6vRCJhPYyI+ABY\nGB2iN74L0Xqr1VIsFlMymZyZYvQ6EAAqKUpvnEDingni3/1G4ncf5fLdcWzToIjN6dmnaQHq65gr\nQBSfy1z4n8OIeyZgcXFR2WxWx8fHSqfTajabFtndZpAW9owfERWalUqlYnPIAY1EIspms0qn0xON\nWak0k2TGxvcIIyU4rYFg7/sSdIxmOp02I4P+ArHn/v6+pSkDgYAKhYK1ZAgExlfjYCBJoXM+mHeu\nfJl1oKmIRCLmtE5OTqyiiLRQPp83wTod1AEtzAPzlMvlzBmiXcnn83aOiHZhEgBO7OV4PK5+v2/v\nQerHs4he+A3LRSECvYhIP66srEwEEqQ9isXidzKHpJn4XFIYMEg4VAK99fV1SbK9yH7DfhGQ4oSo\neqYPGjYBthawRcAI4AR8Ym8JPFqtlqVcOTcwbAB6sgwEfF4DCxim2XGhUJgpWOK7wGqenZ0pl8vZ\nZ1KBh76PIAQmnPng+2D/WAsPctD/kjL0sgf2P6ASFhEgS1Nkf+MFzLWv6vR2wwcCHiCen5/r8PDQ\nekphi2cZFHUxb7FYTJ9//rlOT0+VzWZ1cHBg/i8cvmkVwXek0CudTltQXKlUjBGGLS+XyyqXyxaY\nkIIFEOGT8PmAUUgRgkQAKe+L3SWj4dtXEDiBGZhj9nOpVLJO7tVqValUaqZ5fGPACo0Hho/N55un\n4WBB8pFIxCi68/NzZTIZAxJeK+D72UArejG1R/MsGs4AhwAAgd6m1DUYvKk+RL9A40qcHtEJkXOj\n0TCUzP+jD/Mg8raDaqdwOGzpDJyWNDagXgzu03EcPJwZztanD/3AoE/PIQbAC9c9Q8a/sdZ+LXg+\nNjqGCQPG4PXhcNiibcDwLGksQHStVrNUcjgc1vr6uuLxuFXaAaxJz9HGwhc9kCbESOLg/PBaOObU\ns6w+0mRNAoHxXWN8bwKFUChkYu+DgwOr5qLxniS7NogUJ+tAaguGc5ZBQQbsDmxLMHjTzw3dyrNn\nz6zv0hdffKH33nvP2A1amXB+l5aWTPuC4SRQIr1CldrZ2ZkqlYrduwbrzTwAMLEZGFgcK5o46Wbv\nco8l2kw0YcFgUK1Wy4Koy8tLpdNpPX36VOl02noc3XYQRNDn6Pz83NhTnAkMEsFmPB63FAasObaF\n9BQMDmeNCJ/AgmCQJs3Mj98XXtAOQAZQ9Xo9YwklWbqVdKmvIMO5sg+wrVTd0mTztgN2jzljfrBV\n33zzjWq12kQzXa8tG41GBqooxx8Oh0qn0zo7O7P0EXaKoAoGHduJvg3tEFWI0WjU+in6OwRpI1Qu\nl00vTFp4MBhYUE763p+FWCymo6MjbW9vz8w+M9Ad4bcajYYODg4Uj8fVarUkyXRy2OJMJmOVqMPh\n0CrTKe5pNptWgOR7zcGwkvGRxlIc9pn/dzSPHhhhE0nB0igUyRGglHNOqn9hYUHtdlvVatV6WDLn\n/6eAFc02m82m6T9SqZQdWlIank4lAub/STNQTolxwCBjSDCwHqzxd8AU1K7vi0GUgDHjOXCY2WxW\ng8HAjAmLPhgMVK/XTb9A2pGob2VlRc1m8zuJbqn4uri4sGqX0Whk+hUc1Os0VdKY8eIQTAtnMc7e\nwfvBXPnfPZCSxtd+MDcwWvy8T7UweD6fquR5mf90Oq29vT2trKzMJLyuVCra2NjQD37wA/ve9Adj\nHn2qiPkIh8PGtEoy0aRPWxNlMj++MsVrilgHz/r5eZkGoAsLCxOHnbQNFWRQ94HATfl3Pp/X6uqq\nAoGAqtWqer2eYrGYCoWCrf0sjswP3xCXlAzR4FdffWXO4cmTJwqHw0qn0wZWYAqvrq6USqXMYbXb\nbbXbbdP1XF9fW0WVnzPSVuiQ+FnSu9IY8BP9Uy3oUwMEWHxGIpHQcDi0UnFJlm5k3XO5nKrVqjVs\nvO3AVgCskCb4dg/YMIomONMwbr4yleo1/p+9QWWf18IADmCuPOvOPvEyjcFgYPoYmN29vT212/+E\n+PUAACAASURBVO0J7RKAivkFECAFGQ5vWppkMhkdHBzo2bNnevjw4a3nEABNyoxApF6v68mTJ+p2\nu6ZBxM5Vq1XlcjmbJ84PgTPSjXA4bFpdX43GWuXzedMyAu4IMEh1AjZGo5vu5BRuEBQQKC4tLWlj\nY8NA3+npqY6OjkyDlEqlVCqVJvbu0dGRtfWZdaAJBjzv7u5qOBzq4OBAc3NzWl1dVSKRUL/ft95w\nEBVo2tg3c3Nz1rYGTVq327W9DQgmiGDP4VsJCjzD6hurInbnfWiJQQNx71N4PhjFSCRilbT8Tgbq\n/Pxc33zzzUzz+MaAFZfwQtFubm5aFY7v0s1hh93xtKgka9oHTenZLg4BAIwNDoVKlAD95x2lT8fw\nORwyfjYSiWhtbc2atVGOD40LQ+WjMoSeV1dXKpfL2tnZmWkeieaJuK+ursxA5HI5JRIJA4c+9TQt\n8POROkCTyBuQwLxKk/2v+B3gwM945gnDDwULSwOTNk37+xQjawnA4t/oMzIrIFhYWND9+/e1ubmp\nWq2mfD5v1Tv1et0iLF80sbW1ZSAKEEHKhX/zc+NBFAffgyu/13wkzNqwV/mFM1hZWVG73bb1OT8/\nt3YDAEFA4c7OjkXo9Xpde3t7mp+f1w9/+EPt/b9XA80yvMFCa0YwsrCwoOfPn6tUKpk+bDAYaGdn\nx9gFOitTWk1a0/9bu91Wo9GwQIhCF5+u5hk8aCe9wp6kepcUOj2iCOQIguLxuC4vL9VqtSw4QIgL\nQ9Rut9XtdlWtVk1vNMtAU1MqlXRycqKNjQ01m011Oh2trq6a/UkkEsrlchbhkz71bS7Q9PlCHfSf\n3LXZ7/ctlY3zoncV7IzXPwLO0CexNpJUKBSUSqV0cHBg/eawJc1m07RoBNAEmqQ6l5aWlEqlbI1v\nOwhms9msOfxGo6EvvvjC0sX0mYrFYhPnFVBDcEhazevtFhYWFIvFNBgMDLSyJ9HxwSzCWsOu0NML\nPwSzRTEJa1ur1fT06VOVSiU9evRIkUhEmUxG+Xxez54906tXr6xRLXt0YWFBBwcHWl9fnxngS+MW\nPkgfANaS7H4+UvB+TQH4VOiTNQLkLy0tWXAnjQNuL6uBFeTnaAIMo4R9JEVOWp/zyJ6EEUMWATtP\ncBWNRlWpVIxtG41GKpVKpgMdjUaq1+szzeMbA1YYgWg0qq2tLUvxAW681sRrJignZ4FAyKQKvKP2\nTIHXFUljup3JZZPz7770l9fwcz59xmKurKxM9GGhKWGz2bRF8aJPRIn+mW4zMPY8D5EffbcQ2MME\neBbO62umNVa+cm0aBHgWaXqeeR7+7PUYnqlhzl+nxeJzvBBamryGIBQKWUNYUne3HcFgUI8fP9bB\nwYHefvttRSIRdTod7e/v6/Dw0Kp4cMT0PsNZ4bhJOXmGDmDkmT7/ff288n8+RTv978wnc4WGgTRa\nrVZTvV63CiV0Rf1+X4lEQm+//balZxYXF1WpVPTJJ5+oWCyanue2gz2AY+feNMSs0P4UAOTzebtT\nzZ9lnBPrGwze9GECkKVSKWs54dkA9pmPbPv9vqUQvF5FGjcHptu27+aPg2PtqB7j7NAgET0SrFi/\n3zdncdsBmKnVanZFUiqVMgePXjSVSpnD9noT9hTSCX8+ONc4QWQVjUbD9vd0aoV7VrF9PhAiTYg+\n8fT0VKurq9ap/fj42HpcMd9cokuajGc+OztTqVSye1ZnAVa9Xs+YS/Q6L168sBRvq9Uy/0P2Y2dn\nx9aUVCiFD77wRJIF2ARS2DReR7Um/oG5AwRTFADgh7FZXl5WsVi0Jq10jf/FL36he/fuWQXs1taW\ngsGgvvnmG7vMmADq8vJSzWbTmLNZhg+Mee6LiwsrRgFUotXjWWClOMMI0Wl74q9i85ondMj4SAgK\nAkrmiTQgwRJtU2B3/XkejUZ2tyrAioyZL1jg7HNdD+AN5nWW8caAFdH/22+/rUKhYAaUjekr1iRZ\n8zly1egIYAdYPJy3r6ySJjuDS2OH51NTbEwOCdE9BkEa3/bt87vSjaC6WCwqFArpxYsXlitGX1Ct\nVs1A01sDEeMsAwOJQwuFQqZtAWz6tBR0Ng6DyJN5kyZTd9MMCcAHwOMZrGnRuX8vDLOnxKc1Vt6Q\n+mfg51lP0rKImGFEbjs4uKFQSOVyWe12e+JSX4A1Bx9BJOmAaT2YB6KAJA+0PCj1Y9oI+jXx88s8\nsuaAeihxwBQUOlpDjBd7Ad1fvV5Xt9uduCvyNsOfKarOAFLodnq9nlVQoplC4+SLKOjLxBpwlhYW\nFqwpKoAXIOTXAfbArwvP4Kt5CYa4m5B0DgJYUhN8L+wKhpbyfN8i5ujoaKZ5xA5xVgnMstmsJFnT\nSZ7JF+zwvVljfvEazi7PSpk6XesJcKXx2ef8+bPr7SzvLelbwJ9KukajYT3AcHwwRTAcnC0vz7jt\nwObx3qwt6VXOAe06tre3tbW1ZRkAz1ABoObm5qyfHJdyc7ZhbdDySGO5AOcuFApZUQRMSyh00/xz\nbW3N5oOgDQJhOBzq1atX+uyzz/Tuu+/aM3H5Mdo0GK+Liws9efLEesbNMnx1NraQYhGKpegjx7U2\nnCvfMgmfzhlH14SfmJamEMii3cPPe8CPfpIiHRqHYx8BvVyZFQjcXOruO7qHQiFroUTRl5cvYDNm\nKY6S3iCwOj4+1tbWlra2tiYqphCps5FhKTCaGAkPrLxzY4G8wFqaXDhvJDAaLCSL4g2EBxeU2k8D\nIqKTZDKpra0t6ySNxgU6lPxwIBBQu92eOf3iNVE4MUkW/QO6oEoxZES/bCjmZ1rgzndjzvx8TQ+i\nJuaZn/UDA+yZKcCsT/XxedNsD5/Dd8xkMiqVSjNFZjBNtVpN7XZbkUhEqVTK7imcn583oSv78+Li\nwtbVg9DXzR3rg6Ngrl83PFvl14U945kuvw58xvLysiqVisrlsu7evWsU99LSkumFaPDIvHe7XUs5\nzTI4n5wf5o1UBRqhQqFgl4bTmBJNA/NLqsXrL9BPISimlF+SOTlJluqC2SGNi4PD0fpnosLu8vJS\n9XrdUhHYFd9wWJI5MLQiRMXZbNb0R7cd04U2kow5oWDH3y4Bk4Jd9Gljz5hOs8m8HjbO2zvPLL+O\nsfZ7D5aB84pMwjPitNBoNBp68uSJOp2O7t+/b+LgTqdjlczJZNJs5W0HbLmfP2/bSQ/GYjEVi0Vt\nbW1Z+p8CCQAnoB12D6fNHvTFJ2jz+DnSqAAGH8ymUilFIhFLn5KO9ZWXgPnz83M9f/5cBwcH2tjY\nULlctnYhFFjw/rQy+uyzz/TRRx/deg5ZW0AgKblAIGCSlsvLS9OlUczDdUj4ZvYovgWbif4O+8te\npShCku1r7NTc3JwFPF4WRArRs4DBYFDZbFbJZNLAEWuSy+VMG01ndZhKbGMoFDJZz6zM3xttELqz\ns6NoNDqRfgLZeorVR19en+Opb2nyLjuvxZHGxmCaQfFjNBpNNDmEmfK6i2mgNv3epAGJxGu1mkKh\nkOWiuX4F4zlrU0Y2mNcgIWY/PT21qhM2Od+bw42xJYoEpPoUHpvXG1lvtDyA89U4PrL1QIr5JPrl\n33z0wtrwWg/keP/5+XltbGzot7/9rR2s24xOp2MAfji8ubvyyy+/VCqVslJxPo89QiqD52Wv+HXg\nWf83IOod1jTTxx6fZsE8I8Mv9qxPE1UqFbtLjsj4+vrmAmO6t9O4cHFxUa1Wa+bO6+wZzwwjLud7\nbG5uTrBVpGFwruxXWgb4qlLWx+vYYKWg9NmH8/PzdrZgCgKBgDVdhNGjMaXvhcf74ERJp11fX9vV\nJoC3cDisbDZrhQ5UJ84ySI0QPfs0kgdEzAHAGfmEP0ueufeMvjRO/xOgToN0xrQtnWYGpcnbH0ij\n+krG8/Nz5XI5bW9va2VlRU+fPlUikVA6ndbp6am1a2C/zMrme80h18IsLS2p2WyabeceRATYVK0C\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kkEFgV3q9nrrdrrX44KJcJB4wi9OMxR8zWCNYCxisTqdjtxIMBgMlk0ldXt5cwE6jSIJF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\n/Hm8FqFcLoeDosaLbthEDd42AePvRoIdcxgmoqeLiwt99tl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lc+Bbzb12xSlu/n9xcaF6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HSl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\n9A+GkBkzi8r+/r4mk6t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Hsfu0m3QNHqRZGtFHEdJ1/pWHxwP3KUCUFRSLU+T9vhbDs2eA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CrZpebr6+uKRqPmEBsBEIabv8Oi+NJsAh9fFcla+DNJSoPPEwqFbP/5PkY+asfRornEATbL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\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qcHCw7CQEaR8RZW+wT7E1DMImUIB/5Mnx3Ds6Wa1/qQyI6MhfXV1Vb29vGSeSYAWdI6Hz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\n++UmaqN0isDFoBxAMMWDIlM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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x3968250>" | |
] | |
} | |
], | |
"prompt_number": 20 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Represent every image $I_i$ as a vector $\\Gamma_i$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#To form the observation matrix obs_matrix.\n", | |
"#read the 1st image.\n", | |
"train_img = array(Image.open(filenames[0]).convert('L'))\n", | |
"\n", | |
"#resize it to k1 rows and k2 columns\n", | |
"train_img=misc.imresize(train_img, [k1,k2])\n", | |
"\n", | |
"#since Realfeatures accepts only data of float64 datatype, we do a type conversion\n", | |
"train_img=array(train_img, dtype='double')\n", | |
"\n", | |
"#flatten it to make it a row vector.\n", | |
"train_img=train_img.flatten()\n", | |
"\n", | |
"# repeat the above for all images and stack all those vectors together in a matrix\n", | |
"for i in range(1,n):\n", | |
" temp=array(Image.open(filenames[i]).convert('L')) \n", | |
" temp=misc.imresize(temp, [k1,k2])\n", | |
" temp=array(temp, dtype='double')\n", | |
" temp=temp.flatten()\n", | |
" train_img=vstack([train_img,temp])\n", | |
"\n", | |
"#form the observation matrix \n", | |
"obs_matrix=train_img.T" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 2: Subtract the mean" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"It is very important that the face images $I_1,I_2,...,I_M$ are $centered$ and of the $same$ size" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We observe here that the no. of $\\dim$ for each image is far greater than no. of training images. This calls for the use of $\\text{SVD}$.\n", | |
"\n", | |
"Setting the $\\text{PCA}$ in the $\\text{AUTO}$ mode does this automagically according to the situation." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"train_features = RealFeatures(obs_matrix)\n", | |
"preprocessor=PCA(AUTO)\n", | |
"\n", | |
"preprocessor.set_target_dim(100)\n", | |
"preprocessor.init(train_features)\n", | |
"\n", | |
"mean=preprocessor.get_mean()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 22 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Step 3 & Step 4: Calculate the eigenvectors and eigenvalues of the covariance matrix." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#get the required eigenvectors corresponding to top 100 eigenvalues\n", | |
"E = preprocessor.get_transformation_matrix()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"#lets see how these eigenfaces/eigenvectors look like:\n", | |
"fig1 = pyplot.figure()\n", | |
"title('Top 20 Eigenfaces')\n", | |
"\n", | |
"for i in range(20):\n", | |
" a = fig1.add_subplot(5,4,i+1)\n", | |
" eigen_faces=E[:,i].reshape([k1,k2])\n", | |
" showfig(eigen_faces)\n", | |
" \n" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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WW38N1qxctwes8r2BlY0dTBMyL/9rR4hR8udur6nOVjvtpBNctVB+q6jxahaD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Zu06p0qcwYnyHYmBwWHE2FKFyHZ7Xzt+GG0PE5zBiZt18DNfzyzrNXplWpg3cjz4aizhiM6PJ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3HykKScy4lhknIvXFddOeIc/F2zZ0mK7pTYeHt7my+++CJv374tDNdztxcLrF69elUmGYbC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