{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**8장 – 차원 축소**\n", "\n", "_이 노트북은 8장에 있는 모든 샘플 코드와 연습문제 해답을 가지고 있습니다._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", "
\n", " 구글 코랩에서 실행하기\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 설정" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "먼저 몇 개의 모듈을 임포트합니다. 맷플롯립 그래프를 인라인으로 출력하도록 만들고 그림을 저장하는 함수를 준비합니다. 또한 파이썬 버전이 3.5 이상인지 확인합니다(파이썬 2.x에서도 동작하지만 곧 지원이 중단되므로 파이썬 3을 사용하는 것이 좋습니다). 사이킷런 버전이 0.20 이상인지도 확인합니다." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# 파이썬 ≥3.5 필수\n", "import sys\n", "assert sys.version_info >= (3, 5)\n", "\n", "# 사이킷런 ≥0.20 필수\n", "import sklearn\n", "assert sklearn.__version__ >= \"0.20\"\n", "\n", "# 공통 모듈 임포트\n", "import numpy as np\n", "import os\n", "\n", "# 노트북 실행 결과를 동일하게 유지하기 위해\n", "np.random.seed(42)\n", "\n", "# 깔끔한 그래프 출력을 위해\n", "%matplotlib inline\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "mpl.rc('axes', labelsize=14)\n", "mpl.rc('xtick', labelsize=12)\n", "mpl.rc('ytick', labelsize=12)\n", "\n", "# 그림을 저장할 위치\n", "PROJECT_ROOT_DIR = \".\"\n", "CHAPTER_ID = \"dim_reduction\"\n", "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n", "os.makedirs(IMAGES_PATH, exist_ok=True)\n", "\n", "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", " path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n", " print(\"그림 저장\", fig_id)\n", " if tight_layout:\n", " plt.tight_layout()\n", " plt.savefig(path, format=fig_extension, dpi=resolution)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 투영 방법\n", "3D 데이터셋을 만듭니다:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(4)\n", "m = 60\n", "w1, w2 = 0.1, 0.3\n", "noise = 0.1\n", "\n", "angles = np.random.rand(m) * 3 * np.pi / 2 - 0.5\n", "X = np.empty((m, 3))\n", "X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * np.random.randn(m) / 2\n", "X[:, 1] = np.sin(angles) * 0.7 + noise * np.random.randn(m) / 2\n", "X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * np.random.randn(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SVD 분해를 사용한 PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$X = U \\sum V^T$ 에서 $V$가 주성분\n", "\n", "* (m, m) (m, n) (n, n)\n", "\n", "m: 샘플 개수, n: 특성 개수" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "X_centered = X - X.mean(axis=0)\n", "U, s, Vt = np.linalg.svd(X_centered)\n", "c1 = Vt.T[:, 0]\n", "c2 = Vt.T[:, 1]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "m, n = X.shape\n", "\n", "S = np.zeros(X_centered.shape)\n", "S[:n, :n] = np.diag(s)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X_centered, U.dot(S).dot(Vt))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "W2 = Vt.T[:, :2]\n", "X2D = X_centered.dot(W2)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "X2D_using_svd = X2D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 사이킷런을 사용한 PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "사이킷런에서는 PCA가 아주 간단합니다. 데이터셋에서 평균을 빼는 작업도 대신 처리해 줍니다:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "\n", "pca = PCA(n_components = 2)\n", "X2D = pca.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.26203346, 0.42067648],\n", " [-0.08001485, -0.35272239],\n", " [ 1.17545763, 0.36085729],\n", " [ 0.89305601, -0.30862856],\n", " [ 0.73016287, -0.25404049]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X2D[:5]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1.26203346, -0.42067648],\n", " [ 0.08001485, 0.35272239],\n", " [-1.17545763, -0.36085729],\n", " [-0.89305601, 0.30862856],\n", " [-0.73016287, 0.25404049]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X2D_using_svd[:5]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "데이터셋을 조금 다르게해서 PCA를 실행하면 결과가 달라질 것입니다. 일반적으로 달라지는 것은 일부 축이 반대로 바뀌는 정도입니다. 이 예에서 사이킷런의 PCA는 두 축이 반대로 뒤집힌 것외에는 SVD 방식을 사용한 것과 통일한 투영 결과를 만듭니다:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X2D, -X2D_using_svd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "평면(PCA 2D 부분공간)에 투영된 3D 포인트를 복원합니다." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "X3D_inv = pca.inverse_transform(X2D)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "물론, 투영 단게에서 일부 정보를 잃어버리기 때문에 복원된 3D 포인트가 원본 3D 포인트와 완전히 똑같지는 않습니다:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X3D_inv, X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "재구성 오차를 계산합니다:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.01017033779284855" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(np.sum(np.square(X3D_inv - X), axis=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SVD 방식의 역변환은 다음과 같습니다:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "X3D_inv_using_svd = X2D_using_svd.dot(Vt[:2, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "사이킷런의 `PCA` 클래스는 자동으로 평균을 뺏던 것을 복원해주기 때문에 두 방식의 재구성 오차가 동일하지는 않습니다. 하지만 평균을 빼면 동일한 재구성을 얻을 수 있습니다:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X3D_inv_using_svd, X3D_inv - pca.mean_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`PCA` 객체를 사용하여 계산된 주성분을 참조할 수 있습니다:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.93636116, -0.29854881, -0.18465208],\n", " [ 0.34027485, -0.90119108, -0.2684542 ]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SVD 방법으로 계산된 처음 두 개의 주성분과 비교해 보겠습니다:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.93636116, 0.29854881, 0.18465208],\n", " [-0.34027485, 0.90119108, 0.2684542 ]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vt[:2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "축이 뒤집힌 것을 알 수 있습니다." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "이제 설명된 분산 비율을 확인해 보겠습니다:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.84248607, 0.14631839])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.explained_variance_ratio_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "첫 번째 차원이 84.2%의 분산을 포함하고 있고 두 번째는 14.6%의 분산을 설명합니다." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2D로 투영했기 때문에 분산의 1.1%을 잃었습니다:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.011195535570688975" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1 - pca.explained_variance_ratio_.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SVD 방식을 사용했을 때 설명된 분산의 비율을 계산하는 방법은 다음과 같습니다(`s`는 행렬 `S`의 대각 성분입니다):" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.84248607, 0.14631839, 0.01119554])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.square(s) / np.square(s).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "이를 그래프로 멋지게 그려보죠! :)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3D 화살표를 그래기 위한 유틸리티 클래스입니다(http://stackoverflow.com/questions/11140163 에서 복사했습니다)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "from mpl_toolkits.mplot3d import proj3d\n", "\n", "class Arrow3D(FancyArrowPatch):\n", " def __init__(self, xs, ys, zs, *args, **kwargs):\n", " FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n", " self._verts3d = xs, ys, zs\n", "\n", " def draw(self, renderer):\n", " xs3d, ys3d, zs3d = self._verts3d\n", " xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n", " self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n", " FancyArrowPatch.draw(self, renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "x와 y의 함수로 평면을 표현합니다." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n", "\n", "x1s = np.linspace(axes[0], axes[1], 10)\n", "x2s = np.linspace(axes[2], axes[3], 10)\n", "x1, x2 = np.meshgrid(x1s, x2s)\n", "\n", "C = pca.components_\n", "R = C.T.dot(C)\n", "z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3D 데이터셋, 평면 그리고 이 평면으로의 투영을 그립니다." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 dataset_3d_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure(figsize=(6, 3.8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "X3D_above = X[X[:, 2] > X3D_inv[:, 2]]\n", "X3D_below = X[X[:, 2] <= X3D_inv[:, 2]]\n", "\n", "ax.plot(X3D_below[:, 0], X3D_below[:, 1], X3D_below[:, 2], \"bo\", alpha=0.5)\n", "\n", "ax.plot_surface(x1, x2, z, alpha=0.2, color=\"k\")\n", "np.linalg.norm(C, axis=0)\n", "ax.add_artist(Arrow3D([0, C[0, 0]],[0, C[0, 1]],[0, C[0, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", "ax.add_artist(Arrow3D([0, C[1, 0]],[0, C[1, 1]],[0, C[1, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", "ax.plot([0], [0], [0], \"k.\")\n", "\n", "for i in range(m):\n", " if X[i, 2] > X3D_inv[i, 2]:\n", " ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\")\n", " else:\n", " ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\", color=\"#505050\")\n", " \n", "ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k+\")\n", "ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k.\")\n", "ax.plot(X3D_above[:, 0], X3D_above[:, 1], X3D_above[:, 2], \"bo\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18, labelpad=10)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18, labelpad=10)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18, labelpad=10)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "# Note: 맷플롯립 3.0.0 버전은 버그가 있기 때문에\n", "# 3D 그래프를 잘 출력하지 못합니다.\n", "# https://github.com/matplotlib/matplotlib/issues/12239 를 참조하세요.\n", "# 따라서 최신 버전으로 업그레이드해야 합니다.\n", "# 만약 업그레이드할 수 없다면 3D 그래프를 그리기 전에 다음 코드를 실행하세요:\n", "# for spine in ax.spines.values():\n", "# spine.set_visible(False)\n", "\n", "save_fig(\"dataset_3d_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 dataset_2d_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, aspect='equal')\n", "\n", "ax.plot(X2D[:, 0], X2D[:, 1], \"k+\")\n", "ax.plot(X2D[:, 0], X2D[:, 1], \"k.\")\n", "ax.plot([0], [0], \"ko\")\n", "ax.arrow(0, 0, 0, 1, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "ax.arrow(0, 0, 1, 0, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "ax.set_xlabel(\"$z_1$\", fontsize=18)\n", "ax.set_ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", "ax.axis([-1.5, 1.3, -1.2, 1.2])\n", "ax.grid(True)\n", "save_fig(\"dataset_2d_plot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 매니폴드 학습\n", "스위스 롤:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_swiss_roll\n", "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 swiss_roll_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "axes = [-11.5, 14, -2, 23, -12, 15]\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=t, cmap=plt.cm.hot)\n", "ax.view_init(10, -70)\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"swiss_roll_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 squished_swiss_roll_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(11, 4))\n", "\n", "plt.subplot(121)\n", "plt.scatter(X[:, 0], X[:, 1], c=t, cmap=plt.cm.hot)\n", "plt.axis(axes[:4])\n", "plt.xlabel(\"$x_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "plt.subplot(122)\n", "plt.scatter(t, X[:, 1], c=t, cmap=plt.cm.hot)\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.grid(True)\n", "\n", "save_fig(\"squished_swiss_roll_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 manifold_decision_boundary_plot1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 manifold_decision_boundary_plot2\n" ] }, { "data": { "image/png": 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x9ZDZdh2tHdj7e5t8fe7EOCZ/zvzyO+nu0EGluknETVW6v4B7bkEJOdk+wnZq1nn9srCOWHQS9vyDwlGqpFV7U3vgvkXUIqzAHBXTMBu7fgMDN2J8fKCuWhJZD5gD7+20tq6RbDGNiYkj0ofn1Km9nuIAsSw1zrIzLUxPFyRdnr1g4jtyYfLg7tClUh7ALYHnaVKqG1RybALdKofSKUxN5QNDKmE8WFnIoLu7Hz09x5DLLQBQFabv7u73ebiqopMw5x8Ujhr+zLBPpJ/eQVOQPo0WTmMQBdlNwmz89XNFpFje5k/rwhO2BliByy57QPLpPCxatAY9PXnfkrStbT344gCA4tix+1AsvgAg/LKzFrjpQmhCLmo4jj/uDXi7QzO4RRf/GnieQ0PbfELtgHf5mMQLTL3KIXC7aEEZUmFjkSmjqcJOqpCB7GUiewn5i06yeYEnFduN6iFHPb661PxgXYRxbAhCAXnrmNlKmamu2KIKp6JeZZJsqnWl2+WL5boHwVAZbW82n48T65bM1e2YR11tRMkvH6Pyf3mITIgqdYx4roUspMLG0tn5MVx55U9x8OD1GB29BRs2bJIeSxUyUa2GZmbGPEZZ1LkQUUv2hMicSaPYIenyYt1zCXirFbOCNcASlEp5jI+reWImxRYMTMPVhD4V1vjGLcXkm3KKDxhvnGRt4Z977s0YG9vv2yf/QjGlWvHeL4PjzHhinu79iKYVLIOqd10VrgFcvfpBz/YiPxxoByA3wKrzV62G3MQnS4ROlVkp6kVqvehC1CuC1Pf4asWsYEMQEgwNbYPbxEMOfokMBCfvBgZuiD0mWYwuKcK5aMRN4tXd3f1C406Cjo4PVV40QfvgY6NuabIYh57GyMiPKg8QIU3o7NxiRPMS9y+DiTQmH1JR8cOBx9DX1xPYnJQ/f9VqyK+PMQtZfL61dU3g+ZtCFNQhnyWJVbpljWD1vejNVZOCNcASBN+4ac+NY8k7eeIuXQ3XoNhYR2tH6PiZSby6VMpjeHg7d50oCoWHpAZL3EeplEdf39pKorKra1clIcVAyALMzo5FjnkG0bVMpDFZSEXHDwemfepn7Piq85dR21Rzhze2vNENwwcOe//PlgIJ8TrLOn1nnYexIQgJmFehWmYD6i4QtdZwNfWCw8TsTOLVroERvbNZDA7eitWrH9Du48iRrZiayrvjLy/nw2ry6mBCVxM9R11IRe8t0/J5eOOJYQtM+JWDqrqQ/y5Md41ai9boulHUUqdBvJb1KO9pDbAG7KH4xS+u8PRBA9Q3rh5vchiUSnnMn78YPT15tLQsr5TsNjcv96iUnT79OGTJuJGRRwGILYm+jyVLvlwRLnr66Qsq3znOJE6ceFSZKOERpfOGqdHWLeWfe+7Ngd6yGE8MExowNaxp8YFrAZ7ypkOSWifitZS1ycoa1gAbYMmS9ZiYOFx+CJvQ3Hy+kqwfJyaXpndgmrATleC81W6udwsAbW3rMTl52GeYHGfMV4AC7Kjsc2bmDLyxTorZ2dGKwY+LuEUSMvD3VL0qil4cYmJYRT4wix6GYUIkaXzT0uINU0Kve15YiIzxfrNmO6hgDXAAZPE/xhNlGfKkkKaK0/BnhgN1g8VJK4YGCoWHsGrV58HkN2VeoegJuoUYP4FrVLbDcWSe5KzHuMdBHLlKE7D4a1/fWkxPj3iuQZgQiUzKtFDYCULmSfcl8oF5tkQWampZaPGK++5o7VBS19xGrG6IjNLs2Q4qWAMcAFX8j+eJmqqCpSH3GGbJFmTg+bgupaWyp8V7q66hzOUWamKiDk6f3uvZJwsnuMZX/jsWughC0DUMEwIyuR+q0mAWwzY5jri/vr61mJoa9kmZ8t09RNlL1QvP3TZ9PrDJPKs1e0LlLfOOhIv69YKtAQ6AOlvu5XWaJETCJE5MoVuyhWnN7Z+0VXEez34LD+Gccy7TxERzaGvrrezT9e5myt/pOJnjktCFH0HXMEwIyOR+iNtUz8ktIXacncpCDBm8CcjtZQOsN6xeIy3bLv0cg0loIIv4Mj/H2dyWJYjr1Qu2NDToOaN8I0mRKqVSClMdg233yq+/iqV/6eVebty7sSYehOohkbMaZJhFW1uvhjrl4NSpvdw+zUqdTehAYVu7x9mX66n2VF5KstJg11vdEeqYx49/q/Jvt6Rbr8MxOvqU0glIkg/MI4dcZU4m1XCzFjKVbG7LE8TVeelipC6U0awHDHNPSBZblCmFyfYxOLgVjlMCABDIWxKZeBBpZbJVrAYZ2ERmD71YNdfe7nrAZlxbFyZeXBR2gyrMwN8P2b6GhrahWHwGfLJLLA12//sTI88dcL1f76pCfr1bW9dUYs1JhqxME2eO4TwIA9WKDEimmwsPWYKYn5cudiS+Go2ChveATb0qVWxxfPwgxIy7vCrqW2CcUdaYU9aePqgSKa1lXlvbeh9JnZBmdHZu8RDYxYmsq/hiqwdgt3QFwVTAgsTL44jxyAoyxPshq9JzPV+AGUlWGiyWTLNQVBBE75eBXWNZdV/S2r+86lk9CacnPaeD8gDexLCthMsUphKHsuol1zB5rahsH66ylvfBZY05ZWDeQi3LQ4M6P6gMn6nKW1Q1OBMxHhVUL1fZ/eD3pQ7HyEqDZ4y5ybKYepB4f5JGgpeC5I0eYxMkLYYTdmxJgQ8bMoF/8cVWfbFmWwnX0AY4rkavymgNDz/o0QcYGfmx77dhG3OmneAw6fzAwE9aU9ZBlAIVr5arv/tw0O9VL1fZ/eAF0dkxZRBLg4HdRvFXV+9Cvj/Z78NoH5uWJUftMhwEZjxzMcyJyRhMXhK8Ief51ez6iInhrHW5GzoGLPfKgtuUM8geHLdy7N6KPsDKlbdhdvaMZ5vJWeCGZ4FTJjmvhBF26RlkOE2TP1Eqw1paLgIvxiMqsgXtQ/ZyXbFiMxxnzLNtLrcQ69YNVir/VB1P4sQKu7p24dlnV8FxJj3H5asLg8auolGlwa4JA2Y848aOg5J9JslAtnpc2gx8+xqgZR7wH8PfxHxClIySLJuiNrQBlhsXfZtyHbyxQ3DFDF5LO4/Ik3BJI4nkRpLZdVMcObIVo6OPA3gSfAxW1NTVJahMkqb85+x+m3jq3kIKM4QpEAmzbZDuhWnSNs0Ciixw04UAKZ9SubQFw8MPoKVlVeiVVJpo6BAEk1R0eQnzPN9FWZaIsUNKp3DixKMQl7NNOeDGS9ZEGrPKg+XjeEnJVSbdgddkf95klfe6Oc5MpV1QFLUzSqeULaV4jz6ou3GU5FiYEEyYbYNCFWeLslkYLG0Grl3uhvmAqiGmdBbt7b2V0JGJrGnaaGgPWNYRmIHRjiYnXzGiAfkLGQDAwezsaRDSXKFo8UvZjr3hKWVxjGpYoZOkl7Ym+/NTtXhUy8CDxGjSeqBEjxN4u9HvTMcjiiGZjCVJ3Qseu3t34/p91xvTI4OQln6ECN775eGtLqwPNLQHLOvEwMBoR2JzTd2+5JlzR5nk42lBu3t3a+lBSdCGwiRhks7Cm+xPTtWah56evIfGxtPBap3FNi3EiLp6CONdBzFLSqU87r5STnc0waanNnnmqA4mhrUwVqgJ/e3yxVXvV0TWrAcRDWuA/X3IZHCba5oYIDfLHZyECJoAsg61zHOoZfeCJDoQh92f3Pt19Sf8YjRVoZVaZbFlHicrxBARJUwR9qUXFKoYGtqGriVqumMQTk2f8vw7CeOp6sCcJDY/D2zcCxwu+r+rN2nYhg1BRCmT1S3DZUtMmXShbgJEqXJLY0mnW9oCNEJ11ojRUvnkST89DABOnPhHUDrhMzYMtchiMxEd/5zxH1s0pCtWbMbLL38q8JqFrfTThTXYGHLELfrZcTQ+60YWpkoqeRclPCGGzsTnZ/Pzbjz479a5HjHPdtmzZ08i446LhvWAVWWy8+efBzEpF9XLMkno8IhqTJP2gnVL22jVWTuMiihaWi6ADITktC/LWng1TAHNP2f8hRiiIR0YuDHwmsXlpMvGy8agK/qpF4TJbbCEM5NY1RWXPLXp42iZ51Zx1lv4AWhgAywzjj09x8ocUXlSTrx5QXE+12t6i7RpY5JIOjyhWtqeOrU3YlzYrIiiu7vfE+tlpcotLRdIX5ZpiNHI7mmxuB/5/H2eMakKMWSG1O2mor9mUSsFZeMVx9CcAzZdsDByLLieoctrXPalZYm+1NJAwxpgGXRhCZnBCPIGXUGXZ6VNG2sBcXKaJvhUnntb23rfEtkM9xuvBGTLcGaY+bLSDRsourp2Ja5oJbunAwMfQFU3Qn/e+jmk/m3UVlay8aqM+UcvXqjdV9pIKgHHOxw6vOv8E5FearVEagaYEPIJQsg+QkiJEPIg9/kbCCGUEHKG+8ucF+LvfKEXi1ElTHjxGL4oY3h4e+ZvXlUCxGT5l/QSOewxWHHG4OCtle3jitWI3qPsnhaL+z39AIPOW6cAp/tt2HCVaryqMVA6hU0XXRoq6dXe1G60nQmS4KWHxZVtCHypJc11D4s0PeBjAD4HYLvi+zZK6aLyX+avpLBLQFVW3yseU816sFY9WYGPlUUJU0RdIoeB6hiDg1sr9LRC4SGhpj86TU404LJ76nq/XpiKNqXdBl01B6MYcxkeeesjgdvUk6qaiF+eBhwK/J/jCxMtqkkSqRlgSukjlNJ/ADCS1jGSRNhWNjJPjRdnZ3G/KpxALzjNyRxXiKUW3Z5Vxzhx4oeoxuT9tLQoRk004HK5y+2+btjsO9W84L2pNK+Z6YpE9eKNI5yTFpKc/6waLkeA3vMmlLzzpBXnwoJQmq4EHSHkcwBeTyn9UPnfbwDwClwPmQL4KYD/Rik9ofj9ZgCbAWDZsmVrH3744RRGOQLgLgB3AFhqsP3dAHah2mqH4fUAhiWfMxAAvw/gzzyfbnpqk49zmRR29+4GAGzcuzFwm+TgvZ5nzpzBokWLDH93AwDeaDXD5fzy85QAaBK2awHwbZjdP8B7D+fDvXe/hvfesRgjf+z5AH4X7B56z+1uAI9Cdo+Th2wOescG6O97EB5d+2jgfTPdv+kcizNeHrdcDLx7hZuAdCiQI+8EsLXyvXvf7od3DnivXZLYuHFjH6X0avHzLAzwIgCXAdgP4DwA9wA4l1L6zqB9XXrppfTQoUOJj9FVMPsaOjs/ZsQl/cUvrpB6RiaQyQ+acCnpHVTJE84hJ1WiYh5FkJeriglG7cggXs89e/Zgw4YNRr9jnTWqIPAaQIYc+BVGGMWyUinvUyZTH8cP/h6yc+P3yfNNRRSL+7F//wasWfM4zj23y+h4Msg45gDwyth8/Mk+lQNgjo7WDnzn6u9I71tYvnoQX5ffLgleO6+EVsU89PT8uiLk9PTTbwchr4BSrzqd6r7FBSFEaoBrXohBKT0DYF/5nwVCyCcA5Akh51JKJbUr6SJITUqGJUvWY3x8AJ2dH8PKlbdJHmYXJkbBNAarM9IOHKURjUOUj6IFIbueppAnsFRGUYwVmy/t+XZEDGHlLkWYFlEMDHwAs7OjGBi4Addc82KkYwHqIoyNCRVGDH9mWFmsYGokVXMyLV1iBrkWhBu6Wr36gbIg+wAo9YZhspClrIdKOHaXMglKha0+Eg2MKzdpTl0TkaY4SRjjLnopUV5MgCox9D7PNirP2rSaEFALmZvAFWT3Goc4sVlTURyeUTE+fgDF4guxvGAZljYDt68G7joYXPmm8jizTKzpxmRaiafSghgZeZSb10Ccl3hSSM0AE0Lml/c/D8A8QsgCuMGWtQBOAzgMoB3AlwHsoZSOpjUWFaKoSfEGxnFmUCjshLdoI4e1a/sTf7CiIIxxF7eN2gBTdj2ZYhgzvAsWXCT1rGWGOWlVs1IpzwmyzwPgoLPz47G8HlP9XpFREdcLluGmC1HRfwjSm5bxxNOmigU5BUkcn5Ugi2EIxxnHkSO3Vu5VEkL7cZGm13kbgAm4ke8PlP//NgCr4HbEKwJ4EUAJwB+lOA4lwlKr/FzhafjFYxwcPHidhw/MMuOyjHQ9Iiznl50rP7kZeMUwN6TxRPml5c88J00JknE8/aI+FMeO3Yti8YXIxzFhO4h8YqDqBSeFUilfyfyrmr7qkORqTOVFxym3l7E5VLjpQmDBfD8F8PjxnZ55Hffex0WaNLQ7KaVE+LuTUvp3lNKLKKWtlNIVlNIPUkozYUGHpQmZCvhMTBzC4OCtFT4wMypzRRw7Cid6dPRJnDz5I+n1BH6Jvr6ecmFKtcxblE5MmhIkGnRZsU15lBgYuCHycUTeLava49sNyfjE7ufRjytiaGhbJfYp03+oVePNNIouwj47ly+WF2H4HaZ49z4u6iEGnBlMlrf8slhd5eTPoDMvj3k9w8MPoL0pnCIVvYMaeclJx+yicKIBB44zLhUS37PnD1As/hBVWld1n8eO3YcVKz6KY8fuCx3y0EEWw9a9QJOMycqSlxMTR6Tbqj4PC3a+LPbZnPOqoCU5R3RshTjHSXKMm5/3JwFV+YTx8YMolYZTYT8EoaENsAhZDJJ/mNRNOP8Wfl1h75vWcWZC94ELMr5peTPd3f3GFLSgWHGplAfAPEHZeFnI5qg2Fh+WEicbl65MGAD6+3uwbt2RWA+iKnnZ2zsReZ8mkL1cFs5vxjPvTT7GmVacOMn9yow5//zu2fMHIOQncDvVNGXWlLP+ymEyhGrJqloWm4m6M0xr43KsI4YpkvZ6xf2ZxGNNYsUu5UfPS52YOBQY8ggTH1aNq6vrMWzYQNHaukb6O8cZx+HDt2j3G6QbIBp+viV6GJgo7YWpuuNjqGc7gkIgrlPwk1R1TUxhPeAygpasMu8ujKg7UI3LJdENmSlCiTDNZOuMvSkFLSj77+25FzAejfEwHY+snb1sXN3d/YqiD+DEiYfR1/dvuOKKH/iOEcSLlhl+FooK62EFHUv8PiicZhJDDXqph+0pqDpG1tQ31ymoj9b01gCXIfNcXn31u9plcdCSVkRzzk0OiEhy8iWR6DOloJm0xBENISHNeN3r/gjHj38HlJa4zxfgLW95JdDQ68bDjNL8+QcCY9i6e8fkQ9kxSqU8XnxxE86c6YfuJSB/IbuhqCB6Ix9imZoaRj7/NeWxwr6Q3vSm70qPWbk23MvYZ2T3uv/RxX2D5lyahjsKTp9+HOKqLKtWRdYAQ+e56CtlgqQCxQq5XG4hPvg7g/jI7/kfllq3SOG9Z/5BCMONFj1JkVepMtAjIz+C2MCU0impYZWPZ7vWKKmSgeLY2e+efvoCiDF7/hiurvMzYPOB75gNVEMWeilKvYfFe7SnT+8F89AcZ0a78mL7XbnyNm3+whRpVKklsc/hzwwnlpBua1uPiYmDsfnfScDGgKHzXPxGwvQtWQv5xqTAPwhhxh0UA2ZC6q6gTlVfualpOfwNTB2cOrXXs+/+/l4MDvq5xTJpT9Eo9fVdZRTTGxyUNQKtHqNUynO6zmz/1Y7ZfFdksaMHD1mckeeKs5dHPv8NgS887dObll3zI0du1eYvdJzgJHjpcTuxxJVLBczob3xYrB66Y1gDDLXnwre8CduFIaoUYdJ0obA4ffpx43GbtEXft28tRN5vW9t6n04uIc1ob+/17Ht09EmMjPxYcm+cspeIynFEozQ1lfeIt6vgliXL4FQMm+itu3CLOMSuyGE6Yni1o5lxL/l+x7xg1f5ZgQGfLBZfSLXsCRfFW05bH4Ih6W7fcWFDEAhX7moqUBO1hJZ/g8fNWIvegGx/TDuA8SDd5dmAkTJc0EtmcHArpqfznu+Ghx/AggWrjJNujjOGnp48hobu8oQ62tq8xlpm9AqFh7Bq1ee1oYiWlgswMyOXrOYNmxr+pKOuI4bsHIOV9aYxPPxNrFx5u/Ka82OW5S+uXZFMZ+QskBRzI4r0QNqwBjgEogrUqKBLeERF2N8y7QAWR1SdX5BOg/i9e62+5Tue48ygra1Xq4EQNiGqjr1WFbBUYOcgI+nL9klIM9zyaha2mNEWeqj0BsIxaAgcZ1zKRRdzDar8xYJ5Xk5wFKOWZCIsC5hqdtQS1gCHQBSBGh3iLrviFmLwXQNEZTfx/MLSolyqjz+2CkxrwzBREqLMKBWL+9HXdxV42puJFwyYK7HJjLKu0EMWvgnylP1wz6cq70krLzt1/kLs6h0vyy9jLJgacZVeddJdOYJombXo6hIWNgZsiFo0pUwbonfM66YyZTfZ+ZkXpDg4duxenDz5z5zknxe53EKPRoKIOAlRvnsx/1sxFmzaiFHWW01WxMHG0tW1y5eAk51vWP549Tiuoedfdib5i+v3dWDjXuCaXfsjJdviqqTJjK/u8yTBOzPd3f2ePn2ENKOzc0viinthYD1gQ9Tj8iUsRL1fL03OHxxk50cp1Xr+3mtD8cIL74Tq3e44kxgc3IrVqx+Ufq8zKEG0v/Hxg9LvRkYe9fzbJI5vqlnMd/s4dGiL0RwJ4o+zzgwA9YUX8vkqI2N4+AGjDg5xwwY63YekiirSCG+I+Q2VE7VixWa8/PKnQnd+SQLWABuiHpcvy7+4PLJnYuKFUTqF06f3YnLyiDL+Kl9O+5fA3F5RKOzEqlVfkE72qN6IqwTWJDVsjjPueQhdWpmDfH67Ms4dpRvI6KgZg4Q/R1lFnuzFx+9P3E4cX5iWQaaCTzIkqd3A9pVkqTSf32BhMdkLcmDgRoyPD2TiTNkQhCGSavWdJOJ4DDovjPF1e3qOYWbmpJZqpjbkBD09eaxY8XH43/OzZf5tMghmH4jjnS5/PiWlhQ0Obo0kjblkyXoAOXR2bjGeI7oXu/weOeD5yLLxzeVEWVIQ8xsu13qH9Fq7K6dsOiNbA5whsmz9Ir5Q+NgYH2ucmsprvTq1IacYHNyK1157GjIxHjX/NjyCvHk2Xt77deF6wWKc242Fh+OKRtUz1sUldfeoem7Zc1njIErRhgn4/Abzch1novJyBHZz17Spsl2tr6U1wCkiKNkTtISjd9BIRjpsVZGq3JdVgDGPWCY2zgyI2ybei0JhZ3m73/F95zhjiXkbJomo7u5+j/fLwLxgsVNG2GRrVIJ/mORuPYbBTKCbw2l468z7ZdrIrpd7AOLLsR4S6zYGnCKixBFFmNbA8whLb5N5kI4jjzXKzsn1cuXVYm6o4We+b2QaB1ERFAZisV33wZKVQP8MpdK/BYYwdAm7qAT/MMndpMNdpi/3uCppUeZw0Hh0lDh5V2QXfKPYekisWw84JaTRYictmMQavfQy7zl1d/crNXZHRn4EeSWZng+cJNhLI5drkpZAu8m74BCGbv9RdT9q7dWytkS8boLKwLY3tRvpK8Tls4fVoiiMFbShC1VXZKD6cgRO1sWKwsgDJoQshNvF2AHwm5QrWCeE/C2APwZwI6X0O6mMMmUwD+nii7+cGB0lyaKNJOk+shb0omcl18qlOHDgfcpzUnlnzz33Zmmpb5y28mHgLfk9CJEnTOkUJiaOKL3fzs4tsUuydUjjGoSdLyoDm4RCX1oC8LKOzuyzzc9XP7919UK8s2PWc39Yo9gsE+gMRgaYUjpBCLkDwN8C2ALgbgAghHwewH8F8Kdz1fgCXlGUJOgopkvSoASESjIyLoI8E1VMdXb2VOX/TZfZ3d39Hq4sj7BthqKAfxES0mTUhpznSJueYy3AdIkBSAXjGdJuLV+PUJ2zupoxSH+jNggTA34QwKcB3EoIuR/Ah+G2nL+DUvrVFMZWE8hEUVijyKgNGk1jS2ESELIOGLxRDsP9DALrCSfqGYsI49nLtCL27VuL6enh1GJushehyP2VIemS86RQ1SVGzcaU5LwyRRxusgjZy9HVgH5XZo04eRjHgKnrt28FsAzAPwL4awB/Qym9K6Wx1QRyCpMTq1V1rWJL/IMR5yGRsTWGhrbBcVTFFC7C6iPzerVVpbR4uqzi2Pl/y1+Efi1hcX9ZZ8ZV46rqEqNCn2PfRek7Z4IkjS8ffw5C2PBaGOaPq1Pyr3VB3wvFgqCU/ogQ0g/gtwB8B3w7AACEkBYAXwHwdriGOg/XSP9NMsNNFjoCf5w25aol6fIvLkdhV/01RRSZDbpmoyp1Lz1GPMm7FSs2e5TS4jAiZCJAep0Er/C7bH9ZZ8ZlECl0fAeRsGybJFoERYWpRx2WOWGaCBQF2bOUogRCsiAIIe8HcGX5n0VKqfgqmw9gGC7xcwmA6wDcRgi5Lu5A00AQgf/gwesS8yyyWMqZQMbW0IuKR/Hkd3iW9AcPvh/eUuVpYy+T9/bEsfOdJfguyGKhAy/8LiKrzHiplEdfXw/6+nqkYkfeAhKAFZGI52xyDWslfh7lGElR41SoN0F2YwNMCPkduP1XfgDX+/0TQshqfhtK6Ril9HZK6cuUUodSuh/ADwG8LcExJ4YgUZSJiUMYHX0ikZtUT8aXn7yyCRlU2BAm6SRrAT4xcci3Hd/1Qfw9/xLkvT1x7N7OErOVlkJhQgpZlZyz+C5rCCp+J+vKQemU9JzrESYG04TyxhDFU6/H8JIpDW0dgEcA/BzAjQBeD+A9AD4P4A81v2sC8J8BfDHuQNNAkCiKi/pYqsSBKuammpAmClumkLUAl0POC+YNLi8Yz1TB+LHznSXYufAax9Xvsg8pMDBmQ7FY5U6JiUK30EV2Db3Uunro8CAijmZ10i3s6zG8FGiACSFvArALwEsA/rDMAT5CCPkGgI8RQv4TpfTnip9/BUARfOfCOoRriPxCHQy1vEmyCauL2fH/H3ay1mJCqrQgRMh4wWKIYWaGF4wPFjN3nBlpT7l6Kt/lmQ0MfHwXALq6dknpejoltaj3Ly3ebhTwXi7/DPCMoDBx63oovBChNcCEkAsB/B8ApwBcSyl9jft6G4CbAfwVgP8k+e1fA+gB8FvUXPo/E7gZ/wl0dNyMV1/9ro96lbVnYTLBdNuoDPj2q+fjolavcUx6Qup4wEEQQwxufzYWOzbzqltaXo+3ve3V0MeuBURmQxVeqUx3FfAE+vquwtq1z3s8Y5lB4RuWni3Qxa11fHreAenu7ve8tKIllJOF1gBTSv8NwAWK744BOEf2HSHkf8NlQvwWpfREzDGmClEFSxUWr5UXHPRmD/KGw8Sa/2TfTOy2RmlBFh4RIXuAeP5yUPeNrKGK7QJVL7gadqGVTs+sx52sgjGf/5qnYakMWfZ2SzqsAOjnvNiEoN6aciauBUEI+TKAd8A1vvXpenAQVbDkojLxPcOwEyxsprowVsg80ZckH9VUMF68J1Gy3FHH7SYYb4l0vvyLXw4Ho6NP+a5DofCQ9HjetlD3oVh8QXns4c8Mh+LkJgnx2KIuRZqIo9mRFhI1wISQlQA+CeBiAK8QQs6U/+rSDQkS8mbarEGZcJMHWDbx6hlRjJJYbBEHQQwVWT+vqFnuqOOOQ+hXdVDm51tX1y5ptxGxx51/f/EKiZKCiYpaGNnUuKjHGHCiBphSepRSSiilCyili7i/a5M8TlIwFfI22U/QAyybbPWMsEYpafU3kQ7W03PM0/CSKbTxnl4UD8fUc5RV3PGE/rAcZhNjoJqfzAtm+2NcYH5/4+MHcPLkv0jHIc7FpNDR2uHRsGbJMpVhrTUfmZ9TTJA96642DS1HaSrkDag9QlPDk3V4IAyiGFOTpX+cEIXcGFGPpxfFwwnyHNmYBwdv9byQooQ6+Jeajm/MjinrMefC2x2Z5wLzOHDgvdJxJD0XxTBCGoZV5U1n2VUmCTS0IHuYN5+q3HNwcCscx1XnzJpTGBaqyRtWjMY0uRFHoF71shwfP1gRVVEJrzAxdjHRIgtBiSXojIEwOvpzeEupwyVzxJeablt2nTo7PwZCmnxqXgAqzVJVMpuAq14Xtpw+SSGcJBGF5TMXjHNqHjAh5BOEkH2EkBIh5EHhu7cTQn5FCBknhOwux47rAjIvTeURup9/C14i/Hapl3z3lUC7v2uPFrKlm84TMJlw/DayJWKUOKrJ0j9OiKJUymP+/MWVtkje0uImrfepC6WolvjMC+bDDIz+Jlbcqc5XdyzdtuJ1YuXU4t+SJesr+2M9zWSoh1hw2sgysRcXaYYgjgH4HAAP0ZEQcj7cqrrbASwFsA/Ad1McRyjIHljVw+O22/EqhjmOX21raGgbupYAH1S8ZugdFLt7dyvHxL/ddZONfacz0rplYGGsECmOGjae6TiTvq7IuvAEf0/CvCCCjH6QVy1ThGNddMOEOlSymDLdB9NQThBFTzyXuYZaJueyRGoGmFL6CKX0HwCI7RA2AThAKf17SukkgDsBXEkIuSytsZhC9sDqHnh5Z1/HQ4Rnv88R4F3Lw3vBURDHI4gSR+3q2lVJkPENPKshgRFhqU9RKOz0yV/KPFXxngwO3mr8gggyZmJHYgZCmrjW9DJFuCZfd11dMkcliynqPpi+XEwoevxY57I+BI+5lEcxBfELmiV8AEI+B+D1lNIPlf/9JQDNlNKPc9u8CFfY/fuS328GsBkAli1btvbhhx9OcbR3w626noEbHv9duMtP9hnDfLh1JrsBiN4H+92f+fY55QC78sCXXq5u3d7UDgA4NX0KOrQ3tUu3aW9qxyNvfcTg3Fxs3LtR+73OE1dDdt3+rPLt1NRfobn5p/CXJL8TrsT0CIAb4F7LFgDfhrs4ku37HACvwY+LAdzP/ZvfJ4O4bwD4CADuhlSwCMCkZMze4505cwaLFi1SbBN0DHFM/Lky+K+nfn/qsTJsemqTdi6pvpdBNv+Cfq+bs+nMTz/M7lty2LhxYx+l9Grx8ywM8DcAvEop3cpt83MA91NKH9Tt69JLL6WHDvmVtJKArANELrcQLS2rMDHhb18yf/55mJ0tSpd/udxCrFs3CIBK9ymK3cRNeoThFPPHWtoM3L4auOsgcGo6/L4A9XXjz3HPnt+EzGDMn38+3va2V5XloSb7VkGmk2BSesqqyebPX4qZGX8RJxszQ5Qya9X5ytrnAPr+earfzJ9/Ht72tnhFqLp5aTJPovw+6FlIij8ftTw+KgghUgOcBQviDIDFwmeL4Yr2ZAZV7LO9vRfr1r3o21418dnvjh7dBkqpcrmcJFNC1mjTBDddiEps+kthHCoOZoI+96On51KfMXWcMR+HlWcUxBELihJK4cMdjjOGtWv3o7//Lb4xx2llo2OM6Fg5qv55YiEKu8aOMx5rnIB61ZVDTmoo4wi616tedtrIwgAfgCviAwAghLQCeCMy7pJn8sDyDwGb+Kqmf+x3sn3uPfRVrP/h940nq0ntvunkZfta2gxcuxyV2PSOo0Bzc3jaTtB1Y+W6R4682WdMHWcSBw9eJ/18cPBWnDmzP3LlUlfXLqn3rNOG0OkLV48/i8HBrZicfAVvelP43HHUl4qOwsfm5YIFF3nGf+c/rsIXBiZ8+zI1lI+89RGpl6jyUpkwThRD2ojGF0jRABNC5pf3Pw/APELIArjBrR8A+F+EkPcA+DGAvwDwAqX0V2mNxQQmnGDZQxD0O/WSymyysiVXUtxM9uAdPHgzjh9/CADFwvnNeOa90VShgs6fleuePPkfknANxcTEEYhMEoBiZOTRWEvosIZO5pny+sLVfUxhZORHmJk5VU5uvS/UuOJ65mp+NeMqM7rcFHrPA77WVA0vMaRp7NLc91zg9YZFmjS02wBMwM2yfKD8/7eVBXreA+B/wJW5XAfg+hTHkQiSLrUFavPWl5VAn/d5gnxhB0Qh7yTOSd4yiMJxxivsCL6sOJdrln7OltBREdbQyZkFOY82w4YNFGvX9mNm5hTYPABO+s5b9m8GxrwQ9617kXkpfDPo67tKWhItvshyRE19nEu0rrnE6w2LNGlod5Z1Ifi/O8vf/YxSehmldCGldAOldCitcSQFcXk6OLhVW1bLHsA4tLMk3vgyI//hN/hvfFKqULqWQUFlvEn26wrbWsi0gefAwAfAFMzcRuE7fOct/lvXxy7oJeOv1psuy1JurRxHRUlrzgGXi9kWDlku+89mbm8YNLQWhClky9NCYae2Xxx7AFUeSBDSfOP3nAcQIaKRhCoUb1zy+e0YHvZes2PH7sPJk/8sTUKpknG1KiJgBpt5py5yngaexeJ+X9sj4DFfY0zx37yORNiXzJEj1VJ3HoXCTqkID8/D3rgX2Py876d1hUaN/TJYA2wAWUWUu9yTK2Hxhiip4osgb9jUW17aDCyc5/2MPbRdXbti6fl6jcuU1KM8cOB90thslPLepOHvPux4Sstd71fEtK8xJv9vx5koC/27+xoe3h7qJXPy5I8h03kAsrtmaQjjnK1iO0FoaDEeHXjGg9vXTCXU7k/s8IZoHolG81r+xeUeDzioO4Zpn6ybLpR5v1XaHJ9kVFGfZPAvleXL4tlZP63J7ZR8JDLjISnIOlSw0vKVK28ri96IoL7GmP7k3WxlX75fByQGHWdMOV6ZCA9/zcJ2vpAmhff651MUYRwdovR3O1tgDbACfAyvq2sXnnnmIrj9SL0QlbBEQ9SUAzZdsBD/873V4gETRoPJJI4i+3f5Yjc2KJ4Dr67F83BN1ctUAuMrVnwYx479GoT8xFd4UG8YHX0c/heHg+HhBzEzMwZCmqSFNwCB3EsV4X8pyV4y7MXX0nKRZOXFHZU0aa8lM2amDJokZCRVBjSpOR8X7NoCt6R+LBNYAyyBmChxW5vLPWDA68WY0J9yyMExaCqZBNld9IJYTFDcz6FDWzAxcbgy3sHBrXj11e/CRD4RCGoQeVhaeKCTbjT1vJPEkiXrMTFxWDiPHBxnHCdP/khhfAGzBqEuVH3s+vt7K+fLaGVAlVYmg8i3Vl2zNPqwpYWkCzxEMKcCaIcrS5MtrAGWQKT9FAoPQfeQ8Q+CCf3JxPiqENZLMJm4qiQjSxGYFAqo2AWHDm3B+Li3fDxof7znvXLlbakbY2a8pqZGpHFrABUa3dDQXYElzrISagZVHzv+fFW0Mh5iefLg4FaMjj6OwcGtWL36Qc+2c31Zn4RnXCrl8eKL/zfOnPkl3Hv6k9iVgknAGmABLBHD037kyKGz82M+I1KL9iZJC2bLqUyz4En9UbvHuvFzr6ANM0Iyr01cfczMjEUWcTcFL4DOl53zmg3spRG9lVATmpvP97SVB1SrLfULWqYLUdWldtkRq1Z9IfR9mut0MJ0o+/BnXGnRYvFZVHkH9dE8wRpgAbpW4V44mTbzSxJBDTCB6BoW3d39SuGTQ4e2+JJ++/atrcQ9KZ3F8eOMQZBO+3BVlZlKs0EUApKdm/x6uvxdXcLWXW3tBO/5mogPeXWpZ6VecBDieJlBxo/9fxYVeIWxAsduAaor2ZnMW9IDlobmq1g6fVqWiHHVpcJUL4ngK9LSRtjYnli00Nq6xrdN0owEWUHC4OBWTE/nwVYdrhGrGuOk+8wBZkUhDKYUL11DUX9HlQeE1ZYoAG/SVPRbns9EreUkoPOQTZJ3WYZBVE5V1i3pAWuAfRVMbW3ruXY3bpvwnp5jmJ09A5EXGgamb/+wLevTaMUStopMhiDDKKssFA0JD504eZSW8myMquKPJFuYy4y86O2rENRpY9++NfDHimd9HUfiIgnvVcf1TUpmUsTSZlRe9CJqTXOUoaFDEN6W5Pfi/PM3SR/ImZkqC4LxQqPGjmQavAz8BE17yZYmmHGZnh6WCtaok35BxsgbBgnT6FIGnZebVCxfZeRnZsbK3r4fOv1fHkND2zA9fVz6nbxbS7YIcgx0cz6O5KqMHknptdiw4R9C7SsNNLQB9j6AVFml5aqGeaujwj7szPDmJ/wavPQO6osl8hOtHrvU6lANJaAsWPN2z/fqpB8PP7dWl+yKEqNO0stVQWXk3di2ucC8iOrLR46WlteHH2xIJK3hG8RbjnKsyxfLJWEzVr+toGENsKwluapKS4ToBZvwVpn4+f+1xKvBK3rBMswlHqcYk3ScGbiCNVXOpUnSL6jIQCdsbmrMasFYURn56v9HS27yhj2J4pYoK656WqGpxn/7IddrZp1OGHNpz549tR+kBA1rgFUqUuecczmuuaZKRfrFL66QlJZ6G28GVYyVSvmK+DnrAJULUaI8l3ic/k7R0xA5l6Lh04naq15ucbpl1BIyyhjPEY7y4jB9+ag8VFUhUNJhr1o6CLpnRBaqqhc0bBIuqCU5w5Il1aQcAyHNaGtzVbJM5AWHhrYhR9hv3f8251wv+JIl5ydzQnUAWUbexYw2SaZL+olJNpbcO3368ZpqR5iwLUy2icOuMNkHPwaVMVUVAhXGComJ4tSTfm+SMqdJo2ENsK4lOX+DguKEQTeXGegmyZVeOL8Zj777uiROJxLYw1os/jIWlYvB7X4hS6TNRjKMspcbM8jt7b2xmRphYMK2YCXEvGC6CF3Jtuk90M3JOKwQwPUkGZtmd+9uD7NGFPdPA0kXhIiFVWy1wIT0s0bDhiAAsyRMUKNE2VJwxYrNePnlT+FNb/quVjA7axoMe1gHBm7E+PhA4PI9KNbtVr3JsLhyHcPoPMioamH0KZJCENvCLXPdhDNn+gHQsmD6rVi92p8kU82ngYGbUSjsMCqiUO2DhTfYONsl7YjiIMnwRJQEXpSQhowDXBXSz14LomE9YMDvBTPer6kXpVoKDgzcWPFCVKGOw0Xg+n0dNUkEycAbFTfGHdyhgRlsVTeQ7u5+T9EBd7TKtqYemoqqxlfJ1WopGbTKcctcn/E86IXCQ8YrCrGUOKmikqjNAGRI2jONYsyjhDRkhVX1xIJoaAOsI+Kz73XLQpUH7eq0ugatq+sxbNwL39/m56tdZMlnCTbu3ehZ3qVdmx82FskbbF03EBXFjMUnTdvxqKlq1Sq5tDtmlEp59PX1+Jaw+fx29PX1lI89Iilzdcc6OHir0XFkpcRRxirO5aSaAQD1wXiQ9TcMelZkhVUbNlAA99do1Ho0tAEOMkJB3poseeR61E2+famQhAZrWMgoeIDeqHmvlbobiNzjn6nEJ02TIWH0KdKCzLN1jzuFYvGZ8rF3SMtcAaBQ2MEZajmSKiWWzWXWDMAU9Uhr5BH2WQlysOoBDW2AdTHgKF2QVTc8KS8kKejj0v5suspgO46f3dDVtQuEtAh7bcFllz0Y6mHIQp+Ch7fQwS/SDgD5/HYAP5F8X92uaqjl8NP2gChesGwuN+WAGy9ZY1TeXk+shaQgm+esq7RNwtUBdPHXQ4e2hK6yUnnUUVoSAem1atF5l7JsOqVUYbCnfUkpufCJvn+ZCW9Xl3jixcyTgvde5gA46OzcAkopJ1E5BZNOGLqEoapkOGwpcVa5hHqGTpWuXpJwDW2AVYhaZaXipupag5sg6XBE0MNaLO5HX99aMO9/wYJVGoPtNaJyNbmZ1Hq+hWmbZApVf7t8/hsAiO/zILCVgmx8LS0XYGZmRPJ5+qXEZzv0RTD1Icje0CEIFWStwE3ijW1t6yFKVm7YQHH7obnV8dXt/lv1/tvaesvshlbftqIRlSU9gN3o7Z3wMCRYJ+Y4npsYJkqSzyzz+CktSV5EBOwxcs97nvgzsJWCbFxJKM+ljbAJ4VydmhUxj1EPBRnWA5ZA1gpc1zzx4ou/jJde+mil3YnoLevCB/M+Oy9Wi6KkUSzu95Re8+pdjjOBzs4tofUZmBhPXPEcEeL+TPnMQdAnAMV7RcHmii5p6DgzGBzcisnJV2re647BRFPEx8/d69tciTCSkrqxpMEP9q9qZiKJaiUNQqn5Rcsal156KT106FDwhjEg1up3dNysJMYzgY9zzlldNlpurDCMOIppRVFaeqkiZNoXrnyf26JIp97Ft/Dx/vZa9PTc6+uTFlUJDND3XYuzXwZ2b0WDy99bd5v7IbZcUmH+/PMwM3NK2sqqXhC3wi2JfIVuDFGfA9ncVLUVSwOEkD5K6dXi5/W5VsgQQ0PbPCLZKkpQtc2Jwxks5o0lT3epBT+4VMqXOcxemHSmAHTKXwdiaSDI+NgmTI6o4EMb/n17G7DKjO/ChZfDH4qY5xH1D6KnzVWkLdweFfJVjVdUKws0dAhCLIutPnh8Fl/eYyuod1xaylxp8oOHhraBkCaJB2vWoFMVt9yzZw9ee+3TRkk4WamyLNEWxOSIU6osM+6yVY2q393AwM2YmBArrWYr+3ScKo+4Xj3hLBHFgw7qS8fmJu8J86JaWaGhPWD+wXarnuQtYkQvmPd+Vcha5yEK1B5suD5lMpgmm2TqZzI+Nr8/mahSHC/YRCOEeeUyPqmaQsaWz1UecRgvOG7/u7MZJkUa9ViY0bAesKwduMsPlMHrzeq83yTEsbOCzIN98snzfTSptF4uMtEbk8Rd0tKUJpxj9qIA2iHySVXUMhGUhmtvxautie3tg2DSubjWiDumsII+9agh3bAGWN4OHJC1wgHgeZhVnZOB8A9+Pfd+K5XycJwxAMkktoKgUj8L4mO3ta3HxMSAL6GiKtIIo8gmjo+JETFVNhmftLu7X5H0EWGu6lZ9OenV1hhMjZO4jY6dEKVNls7Ixi3DD/vc1KIFVVg0pAGWtwOvoqPjQ9rJ3da2HpOTh32xUhPPVzUh25vacfL/qy5nk9BbjethJE0b00GlfkaIN5kVpjGnqkhD9nmQURbFiKrRO/91kZVu53ILsWzZdTh+/O88n0etsiwUHsKqVZ9XGu6oL3V+Xsji2wymbbKiGll+/iflpfMrG9251RINGQPWZdABGiglGOdNqpp4p6a9/eh0mWBTVag4HkaceFmUWKVK/SzoOqsEflSxY9XnQcJLfjEi9tKe8V0XkUnDxjYy8uNI80auxWGutpYGeOF2/i+NcEa9rhCTQEN6wMFKW7PaJR7/Jo26nA2CbiLrusaatu8O0pmIEy+LUh6suietrWuweHGPp6Eig65kXOW9yz5fufK2QMF1mRiR6rq49DS/glpLy+vxtre9anQ9eKgchiAvOGnUYxw5CPVabcrQkAaYN6CyhpAAMDLyqNG+Bge3YnT0caNOBkFIatkVxmNQbWvKBBBfPlEbIJp2efAL//hfEqrY8YoVm6UGe2ZmTBtq0a+Y/Nelq2tXpUiEkAVYtGgNrrjiB5ENpdphqG0CKQvp1KgILtgYSUXEKSwyDUEQQvYQQiYJIWfKf+mWuUmg6uLgOOOBS+hicT8KhR0A4nUykCHrSW1CG5Mt25NugKjbn+olMTLyI6lhVimyHT++Uxtq0XnnwG7pdamO2eX8qrqImKC7u18qxwkgdgIpSw8x7rHjFWzsiNU7LynUgwf8CUrp32Y5gKjL7QMH3s/9S16wMVcRJilV9XSpVgsiyhh0Pfe6uh6rFNAwjzOXW4DZ2XGpYVYpsokQ771OGGfPnj3aMTO2jJu4cyJ7rGHFeUzYNbUIHZiyKoDwieeoYy+V8gAeA+Agn89WD6IeDHDmiJJUKxb3Y3LyJc9nhcJOrFr1Be3NrBXtLC6LIiiOK/NMZbrBcRog6nru8aI7XkrhFJh27yWX3BP4Inn22St8VWu6ex+0P3W4wk3K1aqZqAllTDYPVWI8QV6lKqcQxkiaMiuSYPewEvKwXOykkakYDyFkD4DL4ZJvDwH475TSPcI2mwFsBoBly5atffjhh2s8ShVuAvBryefvBGDezWDj3o3K73b37pZ+vumpTT7WRBz4jzMC4AYAUwBaAHwbwFLF9wwtAFYAGPLtf3b2Isybt738u7sA3CHsT4WPANAp2bcAuAfAFmEsANAM4O8AfBPAowB+H8CfSfbxeQD/BO99043zbs/+zpw5g0WLFoUY8zwA/0UxFh3CXrsqwswx3bamUM3bpBDlmaliBMAfwZskZXMl3HUNg40bN0rFeLI2wOsAHIT79FwP4CsA1lBKj8i2r4UaWhBYC/Ji8Rnp9/Pnnx8q050E3zcORK+hVMpj3761mJ4+AWBaym9WqZ55VcKqrAXGuRQ/10HlaYq1/AsX/iYmJg5LQwnnn38dTp78YTk04S8kKZXyePrpC+B6p/PQ0/NrtLQsV47TG+pw9/f007+S8kl1hRiqsTBp05df/pT0vKNeuzDqYrptTVdvpoplUT3ZOGppcpW79FXR6lINjVL6LKW0SCktUUq/CeDnAN6d1Xh0/FX23ZEjtyqNLxC+k0ESSRCTnl8qiBN9cHArpqfz0HUfjtJLL2yPPVmCTxYTHh8/qKSHnTjxMByHLTX9CUFZN2LdOJNqKqpqbT86+iQGBm5Unneca5cEko4Xp8GqCFILlFexOjh1KhtVtHorxKBwwxGZQDdxWR3+8eM7Jb900dq6JnSyhBHad/fu9hDas4CsQy/gNxg6hoTKSIUxXrpiCb9KWRM6O7dIBXlcVGN9/heCvxvxkSO3ags7/AnGavUi/wJn18ikmSh/vq60qfq8o167RkFhrGDcpp6BkGa0t2ejipZZEo4Q0gZgHdww/wyA9wNYD+CWLMZTLO5HPn8fUG63zidK+Dp85jHNZdEdHnzyZO/vbYK/Q29wQpJfPsuN1Ju1bAZxua0qoghKluqLa7z7UnUjPn78IYi6zmJhB78/PsEoS1yavJB1LBxWJGLan1B27UyTW2kjjHhOHE687hj1pgeRpQfcBOBzAF4FcALAJwH8IaX0Je2vUoLbB421lplVclsZ6kHKToTqgTLp0TU9XeDasPNwPUydIeGXz3Ij9T+UbAbZcnt4eLuUl8u8yp6eY1iyZD16evIVz1vF5/Yes/qgqSUj5YZQJzbPxh3F81RV2bHzHhy8VWmcg/ZF6RQG//2rmJqqGqSO1g5t2XBcMXTZdqx0PmpoQSYYFBVsDjH+NptLXV2PRd5nHGTmAVNKXwXQndXxeaj6oMm4rTyylrITYeIlqBIYN10IBX3K33qeT/Kw6+Munw9CVJJzr9sxqYFh2/P7l0l9itdZJ7Ij03PmE2wMYSQjR0ef0orNs2NHES4K6uwRRj9Ctq8cAT64EvhSmZgRZASDxHiCEnEsBMDvJ2na5fBnhhNLXqfRVTsMLA8YzPv1QsdtrW6T3tLFNOOc1DLy8sXqJbzOAPLXh5AmvO51f+RrPCl7kHmWAL9/WZKEv8469TOZBoMLv0HUefRBjAPvC0ivSRHE9w3q7BFGP0K2r+ace2+TQlR+cVyIRj0J6OZSrdDwBljXB00XW4yScAsDcbKFFZ8Oi83Pu2wKmTaGygDm89sr37P/mlR86QwWL/Upi7PrPM3u7n6ltofpi9LkofQma98XS7goyTnE7ytremNY0Duodsyi0FQSBU21lFtVoeENsKwPWi27pZpCR9kRJ26cEtMggyDqHPgRXPGlkmsMEmA38TTjGjRvVd2kTxVPNNDA2+susXM2QzbfRZitCkcir1qSRL3R0GoOVbfUOLxAkU9c615eKmMdt6OyXOcgfGdilVyjSkRHRmUzOU5Y+M/Prw0tek3ADuN+dybHb8Seb8xgxg2nqZKL8uu6I9W5ZIqGN8Ds4eF5pHF5gSKfOA4xnmWQk0CSSzYGQprR2bnFx0DQsUS6unZx284DQNDZuQUtLRdoPckgT7NY3I8nnmhDsfhC4LmYt7qvCp/LPHDWkigsVMcXG5JGNchR2Ayi0P/GvRulwv/szwS6lz5jZDCDGTfGq2pQIH/+/AU8WaxaGj4EAcRLoqj2xZaoTIM2aqA/a1lKHjoDODi4FY5TEr6brcRJefi7S7ghi6Cec0Ee5cDABzA7O4qBgRtwzTUvarcN0+qeaUOrDHSU2KF4fFVD0qgZ+ijGLKm5xht53T7TVmIrjBU0Mf3766IlkTXASLZbqrhE5bmxkzMT+PPvrahQgoD66SZgsvzTGcAnnzwfMgqa61FUDbCa9xovCcJTCcfHD6BYfAHnntsl3Vb1UHZ393v0HhiYNrTcQM+E9ppMuj/zjT/FOHhQB5YsOlckVb2ZtFpgPSTadGj4EASg9uxOndprvAQslfLo63sLhodFrYIDlX8354B3LQfam6q/qxcPN86DKXZPZgUSsjioivcat7BFpBIODNyg3JZPAjrOjEHRjfvgymK9wO7QsV6ZsZU1JFWVdMvCWXy4Yi51rhDBSvOToFcubUbkvoa1gjXAUGsbtLWtN47dDg1tQ7H4LCgtabdjxHgVxDhcFNS6xDRNkRoTiIU0QNULFlH1PlkScNrzUKbNaFB1f/YXkMz6DEex+EutUJDJXJU1cE0yz5AEdB58mLktKy7KItGmQ0Mb4CD1M9PS0uq2gLgMFxFEjI/qpaTdmVaFsN2Tg0RqTp8Ozz6RFdK4n/u9YBkFjveCVS/jrq5dgUp54ndhEn3yApIqxHCWrgM0v8JSgZ9n9eYZ6zz4MGOVFRfVGz2woQ1wkPqZqVcnf6jmeZbiG/ei8rf5+STPIltEpYaJhm7Fio8DyKGtLTz7ZGJCKh8t/VxeLTcd+FAGK+X5v5N9rusvx66F6uXES2/yLzpxrupWWGlA55XG1ZaIg489n0uEHpgmGtYA6zzcMF6dumX5bFlxqz4QlwOsQpglu85TDCNkI+6nt3dC+qD19k74fuulwLnI5RZqxVj04xsJ1D8+duy+SjhEfPHIxGBkXrhLk/S6tqr48e93Ahedo72EiUInAcliumJclxVUiOGQJOEoOOr1hIY1wDoPN4xXpxNT4TslZ+kJAPplZhLqUrwXq1JP03mKYTopx+FVR/HY9ePbIf3OexxHmRQ0PZcwHaAJgNtWa3eXOMT5JeYydGpo9RYCqSUa0gAHebhhvDpdUon3gnlPIKt4rQpJjCHIiw3qlGEaQ44rOB42yaYbn9td9yee7/L57XjuubUeNgwgTwp6z2U7+vp6AmPn4p+seIUQYNUigsmtee21iJPoDUK9GNW0vOuk0JAGOMgL4nVn2XJVtUzt7u4ve35yqHVn5ag1gyEuWDiA161l15J9B5w06pTBoPNIvVoNM+jruypUYixs2bBufG53Xb9y29jY89KX8sGD13nGJHZzLhafCe3V83O1qWkFXJltV5mOibHPNSQ55np5EajQkIUYpl7QkSPV6i4didtN7MgRtkecyhsN8lTSkOszAWvVNDr6c7CqNuYlzs6OYXT0SQALUSjs9XmRK1feHjqG7I23T2NqKo/Bwa1YvfpBybiCq8iCChuCxzcj/MIR/lvFxMQhTEy8JO10wbbP57dHqsCs9vKrjnF4+AEc/aS3ujBMQ0uZjGgt6GqmSoCssKSeKHRh0ZAG2CQLWirlcfz4t8BoZbry5HrIqrIJGkW20qS6SvU7sVUTg+PMVKQpgZ+CUu9U44sbTMegircXCjuxatUXJC2kgsu/gwx10L3ljZS3EzJbXIrjpZWXk6ogJWy1lqqXX0lSealDVi9xILgbs67SLlr13Aj6+3tDz/mk0ZAhCBMcOeLvGRaXxC1LTJhmgU2WZVHbvvz59zpx6vTjoc9Nl4B0qV7s+jmBXq5JMkodb1cnUXX3LMkGlmGV4mSdLtjvwo7FDYX4O4E0hRRjN5k7qvZWJm2voiJMFw9z7Eilc3RYWAOswMmT/thtXBL39HQBd18JH1HeZOKzJF4cyH6/tBm4drlboRe3lxkrQ5b1ZhNLlPm4q6khlMXmGfjEmGlSLyz7QgedUtzatf3gm31TOgXHGcPrXndz+RPvYxhmLN4ioPLeytc6Dc65itrlwPE4FWka5LgoFvcDeBT10Dm6fq9ShuC1DRjYpI4TbvjwG4ArlwAfuSjmABPETRe6WXMg3IMflJyKmlgzpaHFPXZY9kUQdLFivuErP6bjx3eW/6VuwRSEtDWSo8KBk5imQ9LQNeCtNRoyBhyEJNXRGEqlPH67wzV2v90B3P8KcEpffZo6mPfbXH4Nx+1lxkqJ/R1GzBNrJmMI255eduyk77HqxVwq5fH007/h+5wfo6z1kgnca7cjFK2u1pCFB9Jur6WDrgFvFrFga4AFpDWpjxzZinllT3Mecb3gv3rJv10tJyfv/TJE7WXGGlm2tfX6fivLpjOYGEIxQdfd3R+ycSbFwYPXo1Qarjxkp08/Huses/0Dt0iPyY7DV0MyQ7ty5W0eycuoRsDVtZhAZ+cW+f3aVZ/sgCypYboGvFnIVNoQhAB+UsepIed5qIxRwYwd84L5WDDrPpDW5JQtBS9fXPV+GaK8aOIks0xoaLJOEUEFDPxvZAm+trb1YFV7Ue4x2yfw9cp9lo/Tz6Q5cuRW5UvHFOI1LxZ/6eM9h13+12O4ADAbl0mlqUkD3lrDesAcxAe7WHweV1zxg0hLE/5hnJk5AzFLrfOCkwaffOMpO1tfBG5fDdx1EGhurop1s5eHKUUnjuh1kMELEi/nCxh4j5m/j5RSz+8BGrpLiehRs98DP8XoKMXhw5/CiRPf9+zz8OFbIGPSuPTGGeHzcEZAJvw/Pj7guQ6y5b+O7mXCJghD+ZIdK8iYRk00q8bOz2VZA96o4Z+kYA0wh6AH2xSi0SBkgW8bQoCe8+KNl03WMER0fqKyZfwz7/2Yr/W7aSucJNs5yaDqFKErYBDvIwN7OVBKQ78w+GvC/54d/8SJv/cdZ2Tkh779sHErwwYGkF1zFtdMO55pWiShQtgVXtzuHvx9q8fu1TYEUYacx+k+2GEz42IFHSHzpNu9qtduD0ScWv4gbQbTcEJQFt7VS7glErtAJV6uK2DQ8XGZVoPYtcRc79n1qF2vWqX/4e7z2LF7IYrzE9ICQloAhKP8idDxr2ud1ec1TtKAqYCPjGN/3ucJjv7HvWBzuavrMU8nk3qQp2xoA8zHaXWtcsLG5sQKOscZq/Ay60UX2ESbweRh1rEh+vt7y8vwFyqdhaOOsYpZhfFzHzJek0IGSqck4zVXQ3OcKVBqQl/xGyRKS5XfxjGU+q4i9dd2R0QayoAyQ33ThdX/z5pupkJDG+Cg5YmLcImlNCrokobMsxz896/ijf+LYOjX9xp5h+zlddllD0qLLs4992qMjj5RWZoXCg8lolwGuOLlrj5us+dzfYUZg79CLYwamq7CzQxVbzyqoRQlQGXXgc030xZXtUzAJaUMqKsiVVEs6+3F1LAxYHGpvW7dIACKffvWYnr6BPiuCWESS6yFOQ/2gC9tria9dBzgoPhW2LCDWOMv8yxzBPjvq+W0tL6+q7B27fOeuCJ7efFtchiqOhC8FziLwcFbsXq1t2pLB93S8Lnn3iz1vFtaXo+3ve1V42PIwCfcVBVu8+YtxszMiVjHYTHtyclXImsSBMU1dTHXtMIGtYTq/OJQLGuJhjXAsqU2pdSjKMVgGqgvlfKYnX3N81kutxDr1rmKVDe9RNC1xG3KKQqk7O7djQ0bNlSSDqKRjdNSXJyksoe2OQd0LpTT0qam8kqWgUvrER9k+dulUHgIq1Z9PpEEUZpxO5PEDTP0e/ZcBGAo0nGYoPrMzKnIhqGra5eHUwwAudwCbYePLFErTzspimXaaEgDLFuC5/PbK9/zRtNLP9JDF35YufI2vHuF62m+azmw42jVC+5o7cCmpzbh1N5Tyn3zamdxwYxXkDRhqZSvPNzHjt2LFSs+inPP7fK8vAhp8tB4+N/4Ed4LTgNiwYSKYsZWRvoXRhcIOaYMe8iKL9j8AiiefXYVwtDhRMg8dMcJr6iWBFQUtTjOQzSlMze/srQZ+PY1QMs87zNdT2hIAyzP3PvpSpdcco/HG1q58jatZKJOwGdoaBta5jWD0iksnN+MZ97r5R6ahBVqrXvqvU4Uzz//Flx11dNa2pleIc0bookqgxkXIs1ORTEzW7IeVBpfdx/V+y9bcbEOzawzc1ijKY+TO5G6S8eFiZENSytjnwXNfZmhvulC1+EB6jP8ADSoAVZNWgZmVFas2OzxhpjAuOxGuuGHM57PcrkFWLfuFTBPJy2ubBqQqZ1ROoEDB96jpJ1dcsk9AS2agJaWCyr/H4ZvnBTE2D9/j9kqKNx9ul9ZZs0fU7z/1RXXdOW/umOpXlZsNcNrERPSHKm7dC2go5UxIxvFYxa3F1di9frMNSQLQtYSXcwkO84kDhx4P0c/qgqMy7KproczLexjCn19V0mpUfXAjNDRgVSe7OTkEW3SR9byR8a55A1hPq/vh6aDqvWQCrIKsuq/w1PUwh6zut8pH0+YecGqfaj0a3XKbmk2g42jb62DykPWjUNEvarEiWhID1iE3GujmJw8xP1bz4oYHX0cfnqSg6mpvJQalUZCQBeDk0HnZchYBpX9dXwodhzXawijVx2aeNHMe7z44i8rK8hcyHngce9T0IqrimmtYpwqVqwzNml2uKhll2Nd6yHZ8eqx6k2GTA0wIWQpgG8A+B0AJwDcSin9dq3HwWfUS6U8nnnmIp93wkO2nFmyZD0mJg5LjRYrxEh76ZPkw9bd3Y+BgZtRKOzwfReXzaCqOhweDtcPzbT1kI4yFwRVM9YwkDE2ZPNMZC+wF8eCBRdp49JzxdjUEvXQJswEWYcg7gEwBaADwI0A7iWEXJ7lgGShBBnE5Yy+Oil46dPe1B5uoALSoPeoOzon3z0CqGbvo+xHdY1Fypy+SMOPtJatqpCV2FppdPSJcvm1ujgmbKdni/pBZgaYENIK4D0AbqeUnqGUPgnghwBuympMpVIew8PbwS8PCVmAhQv97wTRw+Afgte97oO+bYOqcB556yOeqiBd7C6JKiIT8AkzEXG8qySqDk07WoiUuXPOuRxMhpJvbZTLLTS6z0lBFbJi7AVdw9N6jGWaol4lL7MCcaX6MjgwIW8G8HNK6TncZ58B0Esp/T3us80ANgPAsmXL1j788MMpjupuuL2i+GtCAPw+gD8z3McIgOvgf7jmA/hd5X7OnDmDRYsWmQ91DkF9bncD2AWvNKP+OoX77QiAG+AuskS0AOgF8C/lfZge14vo9y1o/LLveVwM4P4IxzVH0Llt3LtR+d3u3t2B+9/01CacmvZz39ub2vHIWx9J/Hg8av28bdy4sY9SerX4eZYx4EUAXhM+GwVwLv8BpfTrAL4OAJdeeikNovzEwbPPfgITE+ILiWLhwpexbp3ZcV2JR1mccQatrUfR3S3fj65rxFyH6tyee+7TGBsTDYz+OoX5rUvNAmQ+BiEUlP4zqt7lDHK5f8K6dfeFim1HvW+68Xd1XYpnn/0nOE71+ywKCYLOrWOfOulrck1ObjgZajxxj8ejXp63LA3wGQBi0+zFAIoZjAWA2yVhctKbSCOkGe3t5pzK1157Wvp5a+saG5MTEOd6mPw2SDXM/1ntyPq68R86tEXLta4XpMmwqIfj1QJZGuCXAMwnhPwmpfRw+bMrARzQ/CZVJJFNtka2fsDfC75QQYV6YQ5YVkPjIDMDTCkdI4Q8AuAuQsiHAawB8AcA3prVmKzxPHuhk7ast/teb+OxSA9ZF2JsAbAdwHG4GZOPU0oz84Atzl5Yo2ZRj8jUAFNKTwL4wyzHYGFhYZEVsi7EsLCwsGhYWANsYWFhkRGsAbawsLDICNYAW1hYWGQEa4AtLCwsMoI1wBYWFhYZwRpgCwsLi4xgDbCFhYVFRrAG2MLCwiIjWANsYWFhkRGsAbawsLDICJl1xIgCQkgRwKHADecmzofbmPRshD23uQl7bslhJaV0mfhh1mpoYXFI1tbjbAAhZJ89t7kHe25zE/VybjYEYWFhYZERrAG2sLCwyAhzzQB/PesBpAh7bnMT9tzmJuri3OZUEs7CwsLibMJc84AtLCwszhpYA2xhYWGREawBtrCwsMgIc8oAE0J+kxAySQjZmfVYkgQh5HpCyAAhZIwQcoQQ8p+zHlMSIIS8gRCyixByihAyTAj5CiFkrnHPAQCEkE8QQvYRQkqEkAeF795OCPkVIWScELKbELIyo2FGgurcCCFvIYT8lBBykhDyKiHk7wkhKzIcamjo7hu3zV8QQigh5B01Ht7cMsAA7gHwXNaDSBKEkN8G8D8B/DGAcwGsBzCY6aCSw1cBHAewAsAaAL0AtmQ5oBg4BuBzALbzHxJCzgfwCIDbASwFsA/Ad2s+uniQnhuAdrhsgTcAWAmgCOCBmo4sPlTnBgAghLwRwPsA5Gs5KIY5440QQq4HcBrAUwAuznY0ieKzAO6ilD5T/vd/ZDmYhHERgK9QSicBDBNCfgLg8ozHFAmU0kcAgBByNYDXc19tAnCAUvr35e/vBHCCEHIZpfRXNR9oBKjOjVL6GL8dIeQrAPbWdnTxoLlvDPcA+HO4zkLNMSc8YELIYgB3Afh/sh5LkiCEzANwNYBlhJCXCSG/Li/TF2Y9toTwvwFcTwg5hxDyGwCuBfCTbIeUOC4H8Ev2D0rpGIAjmKMvmgCsB3Ag60EkBULI+wCUKKW7shrDnDDAALYB+Aal9NdZDyRhdABoAvBeAP8Z7jL9zQBuy3BMSeJxuIboNQC/hrs8/4csB5QCFgEYFT4bhRtOOmtACOkC8BcA/lvWY0kChJBzAfwlgFuyHEfdG2BCyBoA7wBwd8ZDSQMT5f/+DaU0Tyk9AeCvAbw7wzElAkJIDq63+wiAVrjqU+1w491nE84AWCx8thhuvPSsACHkYgCPAbiFUvpE1uNJCHcCeIhSOpTlIOreAAPYADcJ8G+EkGEAnwHwHkLI81kOKglQSk/B9Qz5csSzpTRxKYAL4caAS5TSEbgJnDn/chFwAMCV7B+EkFYAb8RZslQvMzp+BmAbpfShrMeTIN4O4FNlds4wgAsAPEwI+fNaDmIuGOCvw53Qa8p/9wH4MYB3ZjekRPEAgE8SQl5HCGkH8GkAP8p4TLFR9uZfAfBxQsh8QkgbgJsBvJDpwCKifA4LAMwDMI8QsqBMqfsBgCsIIe8pf/8XAF6YKwk4QH1u5bj9v8B9id6X7SijQXPf3g7gClTtyjEAH4WblKsdKKVz6g/u0mFn1uNI8Hya4GZgTwMYBvBlAAuyHldC57YGwB4Ap+CKXz8MoCPrcUU8lzvhrk74vzvL370DwK/ghpT2AHhD1uNN4twA3FH+/zP8X9bjTeq+CdsNAXhHrcdnxXgsLCwsMsJcCEFYWFhYnJWwBtjCwsIiI1gDbGFhYZERrAG2sLCwyAjWAFtYWFhkBGuALSwsLDKCNcAWFhYWGcEaYAsLC4uMYA2whYWFRUawBtiiYUAIaSaETJXbz8j+Hsl6jBaNhTnTEcPCIgE0AfgTyeefBnAVgEdrOxyLRofVgrBoaBBC/gquyPj/Syn966zHY9FYsB6wRUOCEELgKs/9KYA/pZRm0hPMorFhY8AWDYdyt46vw+3Q/F9540sIuY4Q8iQh5AwhZCirMVo0BqwHbNFQKDdC/SaA9wP4AKX074RNTgH4Ctx+fZ+u8fAsGgzWAFs0DAghTQC+DeD3AbyflluW86CU/rS87R/WdnQWjQhrgC0aAoSQFgDfg9u9YhOl9McZD8nCwhpgi4bBDgD/BcCDANoJIR8Qvv8hpfS1mo/KoqFhDbDFWY8y4+Ha8j8/VP7j4QA4t4ZDsrAAYA2wRQOAumT3xVmPw8JChDXAFhYcyiyJpvIfKbc0p5TSUrYjszgbYQ2whYUXNwF4gPv3BICjAN6QyWgszmrYUmQLCwuLjGAr4SwsLCwygjXAFhYWFhnBGmALCwuLjGANsIWFhUVGsAbYwsLCIiNYA2xhYWGREawBtrCwsMgI/z+N0Ww+olYz1AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 manifold_decision_boundary_plot3\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import gridspec\n", "\n", "axes = [-11.5, 14, -2, 23, -12, 15]\n", "\n", "x2s = np.linspace(axes[2], axes[3], 10)\n", "x3s = np.linspace(axes[4], axes[5], 10)\n", "x2, x3 = np.meshgrid(x2s, x3s)\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = plt.subplot(111, projection='3d')\n", "\n", "positive_class = X[:, 0] > 5\n", "X_pos = X[positive_class]\n", "X_neg = X[~positive_class]\n", "ax.view_init(10, -70)\n", "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", "ax.plot_wireframe(5, x2, x3, alpha=0.5)\n", "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"manifold_decision_boundary_plot1\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(5, 4))\n", "ax = plt.subplot(111)\n", "\n", "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "save_fig(\"manifold_decision_boundary_plot2\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = plt.subplot(111, projection='3d')\n", "\n", "positive_class = 2 * (t[:] - 4) > X[:, 1]\n", "X_pos = X[positive_class]\n", "X_neg = X[~positive_class]\n", "ax.view_init(10, -70)\n", "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"manifold_decision_boundary_plot3\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(5, 4))\n", "ax = plt.subplot(111)\n", "\n", "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", "plt.plot([4, 15], [0, 22], \"b-\", linewidth=2)\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "save_fig(\"manifold_decision_boundary_plot4\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PCA" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 pca_best_projection_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "angle = np.pi / 5\n", "stretch = 5\n", "m = 200\n", "\n", "np.random.seed(3)\n", "X = np.random.randn(m, 2) / 10\n", "X = X.dot(np.array([[stretch, 0],[0, 1]])) # stretch\n", "X = X.dot([[np.cos(angle), np.sin(angle)], [-np.sin(angle), np.cos(angle)]]) # rotate\n", "\n", "u1 = np.array([np.cos(angle), np.sin(angle)])\n", "u2 = np.array([np.cos(angle - 2 * np.pi/6), np.sin(angle - 2 * np.pi/6)])\n", "u3 = np.array([np.cos(angle - np.pi/2), np.sin(angle - np.pi/2)])\n", "\n", "X_proj1 = X.dot(u1.reshape(-1, 1))\n", "X_proj2 = X.dot(u2.reshape(-1, 1))\n", "X_proj3 = X.dot(u3.reshape(-1, 1))\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot2grid((3,2), (0, 0), rowspan=3)\n", "plt.plot([-1.4, 1.4], [-1.4*u1[1]/u1[0], 1.4*u1[1]/u1[0]], \"k-\", linewidth=1)\n", "plt.plot([-1.4, 1.4], [-1.4*u2[1]/u2[0], 1.4*u2[1]/u2[0]], \"k--\", linewidth=1)\n", "plt.plot([-1.4, 1.4], [-1.4*u3[1]/u3[0], 1.4*u3[1]/u3[0]], \"k:\", linewidth=2)\n", "plt.plot(X[:, 0], X[:, 1], \"bo\", alpha=0.5)\n", "plt.axis([-1.4, 1.4, -1.4, 1.4])\n", "plt.arrow(0, 0, u1[0], u1[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "plt.arrow(0, 0, u3[0], u3[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "plt.text(u1[0] + 0.1, u1[1] - 0.05, r\"$\\mathbf{c_1}$\", fontsize=22)\n", "plt.text(u3[0] + 0.1, u3[1], r\"$\\mathbf{c_2}$\", fontsize=22)\n", "plt.xlabel(\"$x_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (0, 1))\n", "plt.plot([-2, 2], [0, 0], \"k-\", linewidth=1)\n", "plt.plot(X_proj1[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.gca().get_xaxis().set_ticklabels([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (1, 1))\n", "plt.plot([-2, 2], [0, 0], \"k--\", linewidth=1)\n", "plt.plot(X_proj2[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.gca().get_xaxis().set_ticklabels([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (2, 1))\n", "plt.plot([-2, 2], [0, 0], \"k:\", linewidth=2)\n", "plt.plot(X_proj3[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.grid(True)\n", "\n", "save_fig(\"pca_best_projection_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MNIST 압축" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import fetch_openml\n", "\n", "mnist = fetch_openml('mnist_784', version=1, as_frame=False)\n", "mnist.target = mnist.target.astype(np.uint8)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "\n", "X = mnist[\"data\"]\n", "y = mnist[\"target\"]\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "pca = PCA()\n", "pca.fit(X_train)\n", "cumsum = np.cumsum(pca.explained_variance_ratio_)\n", "d = np.argmax(cumsum >= 0.95) + 1" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "154" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 explained_variance_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,4))\n", "plt.plot(cumsum, linewidth=3)\n", "plt.axis([0, 400, 0, 1])\n", "plt.xlabel(\"Dimensions\")\n", "plt.ylabel(\"Explained Variance\")\n", "plt.plot([d, d], [0, 0.95], \"k:\")\n", "plt.plot([0, d], [0.95, 0.95], \"k:\")\n", "plt.plot(d, 0.95, \"ko\")\n", "plt.annotate(\"Elbow\", xy=(65, 0.85), xytext=(70, 0.7),\n", " arrowprops=dict(arrowstyle=\"->\"), fontsize=16)\n", "plt.grid(True)\n", "save_fig(\"explained_variance_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=0.95)\n", "X_reduced = pca.fit_transform(X_train)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "154" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.n_components_" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9504334914295707" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(pca.explained_variance_ratio_)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components = 154)\n", "X_reduced = pca.fit_transform(X_train)\n", "X_recovered = pca.inverse_transform(X_reduced)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "def plot_digits(instances, images_per_row=5, **options):\n", " size = 28\n", " images_per_row = min(len(instances), images_per_row)\n", " images = [instance.reshape(size,size) for instance in instances]\n", " n_rows = (len(instances) - 1) // images_per_row + 1\n", " row_images = []\n", " n_empty = n_rows * images_per_row - len(instances)\n", " images.append(np.zeros((size, size * n_empty)))\n", " for row in range(n_rows):\n", " rimages = images[row * images_per_row : (row + 1) * images_per_row]\n", " row_images.append(np.concatenate(rimages, axis=1))\n", " image = np.concatenate(row_images, axis=0)\n", " plt.imshow(image, cmap = mpl.cm.binary, **options)\n", " plt.axis(\"off\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 mnist_compression_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.subplot(121)\n", "plot_digits(X_train[::2100])\n", "plt.title(\"Original\", fontsize=16)\n", "plt.subplot(122)\n", "plot_digits(X_recovered[::2100])\n", "plt.title(\"Compressed\", fontsize=16)\n", "\n", "save_fig(\"mnist_compression_plot\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "X_reduced_pca = X_reduced" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 점진적 PCA" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "...................................................................................................." ] } ], "source": [ "from sklearn.decomposition import IncrementalPCA\n", "\n", "n_batches = 100\n", "inc_pca = IncrementalPCA(n_components=154)\n", "for X_batch in np.array_split(X_train, n_batches):\n", " print(\".\", end=\"\") # 책에는 없음\n", " inc_pca.partial_fit(X_batch)\n", "\n", "X_reduced = inc_pca.transform(X_train)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "X_recovered_inc_pca = inc_pca.inverse_transform(X_reduced)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.subplot(121)\n", "plot_digits(X_train[::2100])\n", "plt.subplot(122)\n", "plot_digits(X_recovered_inc_pca[::2100])\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "X_reduced_inc_pca = X_reduced" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "일반 PCA와 점진적 PCA로 MNIST 데이터를 변환한 결과를 비교해 보겠습니다. 먼저 평균이 같은지 확인합니다: " ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(pca.mean_, inc_pca.mean_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "하지만 결과는 완전히 동일하지 않습니다. 점진적 PCA는 아주 훌륭한 근사치를 제공하지만 완벽하지는 않습니다:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X_reduced_pca, X_reduced_inc_pca)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `memmap()` 사용하기" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`memmap()` 구조를 만들고 MNIST 데이터를 복사합니다. 이는 일반적으로 별도의 프로그램에서 먼저 수행됩니다:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "filename = \"my_mnist.data\"\n", "m, n = X_train.shape\n", "\n", "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=(m, n))\n", "X_mm[:] = X_train" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "이제 데이터가 디스크에 저장되었는지 확인하기 위해 `memmap()` 객체를 삭제합니다." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "del X_mm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "다음에 다른 프로그램에서 데이터를 로드하여 훈련에 사용합니다:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "IncrementalPCA(batch_size=525, n_components=154)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_mm = np.memmap(filename, dtype=\"float32\", mode=\"readonly\", shape=(m, n))\n", "\n", "batch_size = m // n_batches\n", "inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n", "inc_pca.fit(X_mm)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n", "X_reduced = rnd_pca.fit_transform(X_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 시간 복잡도" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "주성분 개수를 바꾸어가며 점진적 PCA와 랜덤 PCA에 비해 일반 PCA 시간을 재어보겠습니다:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_components = 2\n", " PCA: 1.8 초\n", " IncrementalPCA: 5.2 초\n", " PCA: 1.8 초\n", "n_components = 10\n", " PCA: 2.0 초\n", " IncrementalPCA: 5.4 초\n", " PCA: 2.1 초\n", "n_components = 154\n", " PCA: 3.2 초\n", " IncrementalPCA: 7.4 초\n", " PCA: 3.2 초\n" ] } ], "source": [ "import time\n", "\n", "for n_components in (2, 10, 154):\n", " print(\"n_components =\", n_components)\n", " regular_pca = PCA(n_components=n_components)\n", " inc_pca = IncrementalPCA(n_components=n_components, batch_size=500)\n", " rnd_pca = PCA(n_components=n_components, random_state=42, svd_solver=\"randomized\")\n", "\n", " for pca in (regular_pca, inc_pca, rnd_pca):\n", " t1 = time.time()\n", " pca.fit(X_train)\n", " t2 = time.time()\n", " print(\" {}: {:.1f} 초\".format(pca.__class__.__name__, t2 - t1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "이번에는 데이터셋의 크기(샘플의 수)를 바꾸어가며 일반 PCA와 랜덤 PCA를 비교해 보겠습니다:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'PCA and Randomized PCA time complexity ')" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_rpca = []\n", "times_pca = []\n", "sizes = [1000, 10000, 20000, 30000, 40000, 50000, 70000, 100000, 200000, 500000]\n", "for n_samples in sizes:\n", " X = np.random.randn(n_samples, 5)\n", " pca = PCA(n_components = 2, svd_solver=\"randomized\", random_state=42)\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_rpca.append(t2 - t1)\n", " pca = PCA(n_components = 2)\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_pca.append(t2 - t1)\n", "\n", "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", "plt.xlabel(\"n_samples\")\n", "plt.ylabel(\"Training time\")\n", "plt.legend(loc=\"upper left\")\n", "plt.title(\"PCA and Randomized PCA time complexity \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "이번에는 특성의 개수를 달리하면서 2,000 샘플이 있는 데이터셋에서 성능을 비교해 보겠습니다:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'PCA and Randomized PCA time complexity ')" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_rpca = []\n", "times_pca = []\n", "sizes = [1000, 2000, 3000, 4000, 5000, 6000]\n", "for n_features in sizes:\n", " X = np.random.randn(2000, n_features)\n", " pca = PCA(n_components = 2, random_state=42, svd_solver=\"randomized\")\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_rpca.append(t2 - t1)\n", " pca = PCA(n_components = 2)\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_pca.append(t2 - t1)\n", "\n", "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", "plt.xlabel(\"n_features\")\n", "plt.ylabel(\"Training time\")\n", "plt.legend(loc=\"upper left\")\n", "plt.title(\"PCA and Randomized PCA time complexity \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 커널 PCA" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import KernelPCA\n", "\n", "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.04)\n", "X_reduced = rbf_pca.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 kernel_pca_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import KernelPCA\n", "\n", "lin_pca = KernelPCA(n_components = 2, kernel=\"linear\", fit_inverse_transform=True)\n", "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433, fit_inverse_transform=True)\n", "sig_pca = KernelPCA(n_components = 2, kernel=\"sigmoid\", gamma=0.001, coef0=1, fit_inverse_transform=True)\n", "\n", "y = t > 6.9\n", "\n", "plt.figure(figsize=(11, 4))\n", "for subplot, pca, title in ((131, lin_pca, \"Linear kernel\"), (132, rbf_pca, \"RBF kernel, $\\gamma=0.04$\"), (133, sig_pca, \"Sigmoid kernel, $\\gamma=10^{-3}, r=1$\")):\n", " X_reduced = pca.fit_transform(X)\n", " if subplot == 132:\n", " X_reduced_rbf = X_reduced\n", " \n", " plt.subplot(subplot)\n", " #plt.plot(X_reduced[y, 0], X_reduced[y, 1], \"gs\")\n", " #plt.plot(X_reduced[~y, 0], X_reduced[~y, 1], \"y^\")\n", " plt.title(title, fontsize=14)\n", " plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n", " plt.xlabel(\"$z_1$\", fontsize=18)\n", " if subplot == 131:\n", " plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", " plt.grid(True)\n", "\n", "save_fig(\"kernel_pca_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "그림 저장 preimage_plot\n" ] }, { "data": { "image/png": "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