{ "cells": [ { "cell_type": "markdown", "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9", "metadata": { "id": "078900c6-d71d-44f0-9e76-cc5ce66f0ca9" }, "source": [ "# Logistic regression with uncertainties\n", "\n", "Description:\n", " * Two parameter model\n", " * To obtain confidence intervals of model values, two types of bootstrapping are performed:\n", " * a bit constrained non-parametric bootstrapping\n", " * parametric bootstrapping of parameters around highest peak obtained via non-parametric bootstrapping" ] }, { "cell_type": "markdown", "id": "e0de7f02-942b-42ff-874c-3c0e2ac1e0dc", "metadata": { "id": "e0de7f02-942b-42ff-874c-3c0e2ac1e0dc" }, "source": [ "## Data & common" ] }, { "cell_type": "code", "execution_count": 1, "id": "40c9c487-ff42-4463-b105-4d7bf75d8f6f", "metadata": {}, "outputs": [], "source": [ "choice_setup = 1 # 0 for MD, 1 for MH" ] }, { "cell_type": "code", "execution_count": 2, "id": "56ecf5e9-308d-411b-be22-c5a1ac001717", "metadata": {}, "outputs": [], "source": [ "if choice_setup == 0:\n", " from google.colab import drive\n", " drive.mount('/content/drive')" ] }, { "cell_type": "code", "execution_count": 3, "id": "be75450c", "metadata": { "id": "be75450c", "tags": [] }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import pandas as pd\n", "import seaborn as sns\n", "\n", "import scipy\n", "from scipy import io\n", "import scipy.stats as ss\n", "\n", "from sklearn import linear_model\n", "import os" ] }, { "cell_type": "code", "execution_count": 4, "id": "3373f87f", "metadata": { "id": "3373f87f", "tags": [] }, "outputs": [], "source": [ "topic = \"logit\"\n", "\n", "if choice_setup == 0:\n", " #data_path = \"/home/marija/maki/\"\n", " data_path = \"drive/MyDrive/maki_slovenija/data/\"\n", " figsdir = f\"drive/MyDrive/maki_slovenija/figs_{topic}/\"\n", " figsext = \".eps\" # figure extension\n", "elif choice_setup == 1:\n", " data_path = \"../data\"\n", " figsdir = f\"./figs/{topic}\"\n", " figsext = \".pdf\" # figure extension\n", " \n", "if not os.path.exists(figsdir): os.makedirs(figsdir)\n", " \n", "suv_filename = os.path.join(data_path, \"suv_percentilesSLOthenUWM.mat\")\n", "flags_filename = os.path.join(data_path, \"flags_combined.mat\")\n", "normal_range_filename = os.path.join(data_path, \"normal_range.mat\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "811d990d", "metadata": { "id": "811d990d", "tags": [] }, "outputs": [], "source": [ "\"\"\"\n", "Loading all data\n", "\"\"\"\n", "suv_dict = io.loadmat(suv_filename)\n", "flags_dict = io.loadmat(flags_filename)\n", "normal_range_dict = io.loadmat(normal_range_filename)" ] }, { "cell_type": "markdown", "id": "b47b0289-1378-40a8-88e2-acfed4c4cd69", "metadata": { "id": "b47b0289-1378-40a8-88e2-acfed4c4cd69" }, "source": [ "## Testing" ] }, { "cell_type": "markdown", "id": "35e9bb7b-5a50-4cae-9af4-261c11453dd4", "metadata": { "id": "35e9bb7b-5a50-4cae-9af4-261c11453dd4" }, "source": [ "### General ideas" ] }, { "cell_type": "code", "execution_count": 6, "id": "ae5d1e06-5122-400d-a9ab-7f04867f8cdb", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 9, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "ae5d1e06-5122-400d-a9ab-7f04867f8cdb", "outputId": "a55e5243-c612-4fa3-9da9-662a064b45e5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(58, 17, 100)\n", "(58,)\n" ] } ], "source": [ "\"\"\"\n", "Extracting only data associated to organ of interest, you need to choose data and column of flags that shoud be taken depended on data\n", "\"\"\"\n", "# in suv values can be (choose one of them): 'lung_SUVperc_COMBINED' , 'bowel_SUVperc_COMBINED' or 'thyroid_SUVperc_COMBINED'\n", "# in flags choose the column depended on the data of interest (1 for bowel, 3 for lung, 5 for thyroid)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58,:,:]\n", "flags = flags_dict['flags'][0:58,3]\n", "\n", "print(suv.shape)\n", "print(flags.shape)" ] }, { "cell_type": "code", "execution_count": 7, "id": "a70c64a3", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 8, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "a70c64a3", "outputId": "a4cc1e1b-e752-45b5-a76d-43d3f664b159", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n", "[1 1 1 1 1]\n" ] } ], "source": [ "print(flags[flags==0])\n", "print(flags[flags==1])" ] }, { "cell_type": "code", "execution_count": 8, "id": "9b894e29", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 5, "status": "ok", "timestamp": 1733838433084, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "9b894e29", "outputId": "1797f635-0fc6-46af-8a3f-6935f385383b", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(58, 1)\n" ] } ], "source": [ "p = 94 # choose percentile of interest (for lung and bowel 95, for thyroid 75), numerating here is from 0 so take the one less\n", "X = np.nanmax(suv[:,:,p], axis=1).reshape(-1,1)\n", "\n", "print(X.shape)" ] }, { "cell_type": "markdown", "id": "6deba69b-9c9c-47b6-b02d-f40998729aa1", "metadata": { "id": "6deba69b-9c9c-47b6-b02d-f40998729aa1" }, "source": [ "Logistic regression documentation:\n", "* https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", "* https://stats.stackexchange.com/questions/186830/what-is-scikit-learns-logisticregression-minimizing" ] }, { "cell_type": "markdown", "id": "FhyIAER1E7PZ", "metadata": { "id": "FhyIAER1E7PZ" }, "source": [] }, { "cell_type": "code", "execution_count": 9, "id": "239ae789", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 492, "status": "ok", "timestamp": 1733842169917, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "239ae789", "outputId": "ed8c1661-233c-47a7-b2a1-136677e6fe36", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w0: [-5.33495652]\n", "w1: [[1.90942694]]\n" ] } ], "source": [ "#ovo nam ne odgovara jer nama treba regularizacija da bi nam parametri bili ograniceni\n", "#logr = linear_model.LogisticRegression(penalty='none')\n", "#clf = logr.fit(X, flags)\n", "clf = linear_model.LogisticRegression(random_state=0).fit(X, flags)\n", "\n", "# underlaying linear model coefficients\n", "#print(\"w0:\", logr.intercept_)\n", "#print(\"w1:\", logr.coef_)\n", "\n", "#ov parametri ne odgovaraju onima koje sam imala pre\n", "print(\"w0:\", clf.intercept_)\n", "print(\"w1:\", clf.coef_)" ] }, { "cell_type": "code", "execution_count": 10, "id": "G5Pszy_NAtW0", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 484, "status": "ok", "timestamp": 1733842427359, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "G5Pszy_NAtW0", "outputId": "588baab3-2d12-4654-e89a-adf2519fd80d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w0: [-11.68319035]\n", "w1: [[5.68708926]]\n" ] } ], "source": [ "logr = linear_model.LogisticRegression(None)\n", "clf = logr.fit(X, flags)\n", "\n", "\n", "# underlaying linear model coefficients\n", "print(\"w0:\", logr.intercept_)\n", "print(\"w1:\", logr.coef_)" ] }, { "cell_type": "code", "execution_count": 11, "id": "54f463d0", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "executionInfo": { "elapsed": 978, "status": "ok", "timestamp": 1733842571838, "user": { "displayName": "Marija Delić", "userId": "03427129792104028391" }, "user_tz": -60 }, "id": "54f463d0", "outputId": "a5fad6b1-8c25-4d6f-d7f5-06a740376da5", "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 6, 100)\n", "y = logr.predict_proba(x.reshape(-1,1))\n", "\n", "plt.title(\"Prediction probability of AE depending on maxSUV value\")\n", "plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE|X=x)\")\n", "\n", "plt.scatter(X[flags==0], flags[flags==0],label=\"NC\")\n", "plt.scatter(X[flags==1], flags[flags==1],label=\"AE\")\n", "\n", "plt.plot(x, 1/(1 + np.exp(-logr.intercept_[0] - logr.coef_[0,0]*x)), label=\"logistic reg\")\n", "plt.legend(loc='center right')" ] }, { "cell_type": "code", "execution_count": 12, "id": "2c16aad9", "metadata": { "id": "2c16aad9", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Covariance matrix: \n", " [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "Standard errors: [3.50977855 1.95402341]\n", "logitParams: [-11.68319035 5.68708926]\n" ] } ], "source": [ "#Ref:\n", "# https://stats.stackexchange.com/questions/89484/how-to-compute-the-standard-errors-of-a-logistic-regressions-coefficients\n", "\n", "# Calculate matrix of predicted class probabilities.\n", "predProbs = logr.predict_proba(X) #has two col. p, (1-p)\n", "\n", "# Design matrix -- add column of 1's at the beginning of your X_train matrix\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", "# Initiate matrix of 0's, fill diagonal with each predicted observation's variance\n", "V = np.diagflat(np.product(predProbs, axis=1)) #dig.matrix where each element is p*(1-p)\n", "\n", "# Covariance matrix C_params = (X^T V X)^-1, params = (b0,b1)\n", "covLogit = np.linalg.inv(np.dot(np.dot(X_design.T, V), X_design))\n", "print(\"Covariance matrix: \\n\", covLogit)\n", "\n", "# Standard errors\n", "print(\"Standard errors: \", np.sqrt(np.diag(covLogit)))\n", "\n", "# Wald statistic (coefficient / s.e.) ^ 2\n", "logitParams = np.insert(logr.coef_, 0, logr.intercept_)\n", "print(\"logitParams:\", logitParams)" ] }, { "cell_type": "code", "execution_count": 13, "id": "2f0ac198", "metadata": { "id": "2f0ac198", "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Logistic regresion modeling with estimated uncertainties')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Direct approach to variance in logit regression:\n", "#\n", "# f(x|p*) p ~ N(p*,C_p)\n", "#\n", "\n", "f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\n", "fopt = lambda x: 1/(1 + np.exp(-logitParams[0] - logitParams[1]*x))\n", "\n", "#generate parameters and points in x axis\n", "ps = np.random.multivariate_normal(logitParams, covLogit, 1000)\n", "xs = np.linspace(0, 6, 100)\n", "\n", "# generate values in y axis\n", "yopts = fopt(xs)\n", "ys = np.array([np.fromiter(map(lambda p: f(x,p), ps),float) for x in xs])\n", "\n", "# doing statistics on values\n", "mys = np.median(ys,axis=1)\n", "alpha=0.05\n", "yerr_min = np.quantile(ys, alpha/2, axis=1)\n", "yerr_max = np.quantile(ys, 1-alpha/2, axis=1)\n", "\n", "plt.xlabel(\"x = maxSUV\")\n", "plt.ylabel(\"P(AE|X=x)\")\n", "plt.scatter(X[flags==0], flags[flags==0],label=\"NC\")\n", "plt.scatter(X[flags==1], flags[flags==1],label=\"AE\")\n", "plt.plot(xs, yopts, label=\"fit logit model\",color=\"red\")\n", "#plt.errorbar(xs, mys, yerr = [mys-yerr_min, yerr_max-mys], label=\"direct variance\",fmt=' ')\n", "plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"confidence interval\")\n", "\n", "plt.legend(loc='center right')\n", "plt.title(\"Logistic regresion modeling with estimated uncertainties\")" ] }, { "cell_type": "markdown", "id": "6a1a899c-ac8a-44e8-bad6-04262e429913", "metadata": { "id": "6a1a899c-ac8a-44e8-bad6-04262e429913" }, "source": [ "### Distribution of parameters via BS" ] }, { "cell_type": "code", "execution_count": 14, "id": "712f33c6-b772-4c90-b2e0-ad9336fc8d83", "metadata": { "id": "712f33c6-b772-4c90-b2e0-ad9336fc8d83" }, "outputs": [], "source": [ "# loading data for lungs\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58,:,:]\n", "flags = flags_dict['flags'][0:58,3]\n", "\n", "per = 94 # choose percentile of interest (for lung and bowel 95, for thyroid 75), numerating here is from 0 so take the one less\n", "X = np.nanmax(suv[:,:,per], axis=1).reshape(-1,1)" ] }, { "cell_type": "code", "execution_count": 15, "id": "8d8c5f8a-f065-4980-a313-786e0df9b2c2", "metadata": { "id": "8d8c5f8a-f065-4980-a313-786e0df9b2c2" }, "outputs": [], "source": [ "gauss = lambda x, mu, var: np.exp(-(x - mu)**2/(2*var))/np.sqrt(2*np.pi*var)" ] }, { "cell_type": "code", "execution_count": 16, "id": "d2ff06ca-e6f3-4442-9bce-29ee929c0071", "metadata": { "id": "d2ff06ca-e6f3-4442-9bce-29ee929c0071", "tags": [] }, "outputs": [], "source": [ "rng = np.random.default_rng()\n", "\n", "def get_params(idx = None):\n", " if idx is None:\n", " idx = rng.choice(n, n)\n", " while (flags[idx] == 0).all() or (flags[idx] == 1).all():\n", " idx = rng.choice(n, n)\n", " \n", " penalty = 'none' if choice_setup == 0 else None\n", " clf = linear_model.LogisticRegression(penalty = penalty).fit(X[idx], flags[idx])\n", " \n", " return np.insert(clf.coef_, 0, clf.intercept_)" ] }, { "cell_type": "code", "execution_count": 17, "id": "69792c6a-18d5-43c1-b1f9-a0744beb1ebb", "metadata": { "id": "69792c6a-18d5-43c1-b1f9-a0744beb1ebb", "tags": [] }, "outputs": [], "source": [ "# original p0\n", "n = len(X)\n", "p0 = get_params(np.arange(n))\n", "\n", "# bootstrapping\n", "ps = np.array([get_params() for _ in range(10**5)])" ] }, { "cell_type": "code", "execution_count": 18, "id": "a97debd2-00cf-4ebc-9b50-da847daf6d63", "metadata": { "id": "a97debd2-00cf-4ebc-9b50-da847daf6d63", "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting distribution of parameters\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\": 14})\n", "\n", "ax = sns.jointplot(x = ps[:,0], y = ps[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "plt.text(0.04, 0.9, \"(a)\", fontsize=16, horizontalalignment='center', \n", " verticalalignment='center', transform=ax.figure.transFigure)\n", "plt.savefig(os.path.join(figsdir, \"logit_boots\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 19, "id": "4f08a287-fdcb-47cc-a2fd-55ddba066ce8", "metadata": { "id": "4f08a287-fdcb-47cc-a2fd-55ddba066ce8" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size_selectd: 63788\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# select main peak and check distribution\n", "ps_sel = ps[(ps[:,0] > -25) & ( ps[:,0] < 0) & (ps[:,1]> 0) & ( ps[:,1] < 10)];\n", "print(\"size_selectd:\", len(ps_sel))\n", "\n", "# plotting distribution of parameters\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\":14})\n", "\n", "ax = sns.jointplot(x = ps_sel[:,0], y = ps_sel[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "plt.text(0.04, 0.9, \"(b)\", fontsize=16, horizontalalignment='center', \n", " verticalalignment='center', transform=ax.figure.transFigure)\n", "plt.plot([p0[0]], [p0[1]], marker=\"o\", markersize=10, markeredgecolor=\"red\", \n", " markerfacecolor=\"red\")\n", "\n", "x = np.linspace(-25,0,100)\n", "ax.ax_marg_x.plot(x, gauss(x, logitParams[0], covLogit[0][0]), \"r\" )\n", "\n", "y = np.linspace(0, 10,100)\n", "ax.ax_marg_y.plot(gauss(y, logitParams[1], covLogit[1][1]), y, \"r\" )\n", "\n", "plt.savefig(os.path.join(figsdir, \"logit_boots_sel\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 20, "id": "668f5b02-e351-4dde-9697-af36b49588f2", "metadata": { "id": "668f5b02-e351-4dde-9697-af36b49588f2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MLE: beta:\n", " [-11.68319035 5.68708926]\n", "MLE: cov(beta):\n", " [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n" ] } ], "source": [ "# MLE: optimal beta and covariance\n", "print(\"MLE: beta:\\n\", logitParams)\n", "print(\"MLE: cov(beta):\\n\", covLogit)" ] }, { "cell_type": "code", "execution_count": 21, "id": "308b94a4-7a95-47c8-b0c5-4a80bc05b3df", "metadata": { "id": "308b94a4-7a95-47c8-b0c5-4a80bc05b3df" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sample_mean(beta):\n", " [-10.94752988 5.03018971]\n", "sample_cov(beta):\n", " [[ 5.67071502 -2.86912931]\n", " [-2.86912931 1.73456244]]\n" ] } ], "source": [ "# sample mean and covariance of selected main peak\n", "smean = np.mean(ps_sel, axis=0)\n", "print(\"sample_mean(beta):\\n\", smean)\n", "db = ps_sel - smean\n", "scov = np.dot(db.T, db)/(len(db)-1)\n", "print(\"sample_cov(beta):\\n\", scov)" ] }, { "cell_type": "code", "execution_count": 22, "id": "cc3d41a7-518f-4804-832a-090cd1501d35", "metadata": { "id": "cc3d41a7-518f-4804-832a-090cd1501d35", "tags": [] }, "outputs": [ { "data": { "image/png": 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ziY2x6/SlM7QvdbQkqeytty2rBUBwEMQADHruhnrVrCmUJKUdd4Ikbwh77t1ivfzxHh2fP0LHHB0eN9tOio9R+gknSZIq339PjTX1FlcEoD8IYgAGver335PZ3KzYkaOUkDdZHo+pJ9/crjfW7dPJc0Zp3pRsq0tsJ3n6dLnSshTrduq1FSvlcoff6u0A/EMQAzComW63qt55S5KUccpSNTnd+tPzn+q9TV/rtHljNDt3qMUVdsGwyTZ/sSRp+I4iPfLKF/Kw2j4QkQhiAAa12vVr5aqokD0lVc15+frd40Xasa9a3z5uomZMzLK6vO7lz5cZn6CslhpVrivSM2/t4NZHQAQiiAEYtEyPR+Uv/1uS5C5YrN89/amanG5dvDRX44anWlxdL+LipQJvr9jS5i/1VtE+vfTRbmtrAtBnBDEAg1bt+nVqKSmRJy5B/7snVZmpcbr4lFxlpcZbXZpfzHmLZcbEKqmyROcMrdeLH+7S2xv2W10WgD4giAEYlEyXS6UvrJQkfZiUp6Mm5WjZcROVEBf8+0YOmMRkqcC75tnknR9rbm6Wnl69XWu2sL4YECkIYgAGHZfbo8JHn5fnUJkaHAnKPu1UnVowWvYQ3LIo2MxjTpIZnyCjrEQn2g5o2vhMrXh5q9Z8QRgDIkHk/dQBgH7Yvq9K/99D7ylp3TuSJMfJ39JRE3MsXai1XxISZR57iiTJePdlnTZ9iKaOzdBDL23R6qJ9FhcHoDcR1AcPAIFpbHZpzecl+uCzAyreX63vVBYqweOUmT1CjjkLrS6v/+YtlrlxjYzyUtnfe02nn36BEuMc+sdbO1Tb4NR5iydEbtAEohxBDEBU8nhMbdtTqTWvf6kPN32tFpdHY3NSdNEYp8YW75BpGDLPvFCyRcHAgN0h84xvy3jiARkbPpIxZYaOn5WrhHiHXv54j2rqW3TpqXkhvVE5AP8QxABENI/HVF1Ti8qqGrX3YJ32HazVnoO12l9WrxaXR1lp8VowLVtTx2Yq1dMo46FHvQ+ct0QaMcbS2oNq3FEyZy+U8UmhjH89LfPK6zR/SraS4hx6fd1e1TY6ddVZ0xQbY7e6UgBtEMQAWMrl9qiqrlnVdU7VN7nU2Nzmj9OlZqdHTpdbzhbf327VN7pU19SiuoYWNTa75FvG1GZIWWkJGpYer2OnD9eoYUmaPH6I6uqa5G5ukfHkYzIa6mVmj5R54rcsfd0DwTzlHGl3sYyKMmnVYzIvukpHT8hSfJxD//5ot277+3r96KypGh/ua6QBg4hhshRzQCor6+VycX83fzkcNmVkJNFuAYiGtqttcOpAeYMOlNfrQHmDSisbVVHbpMraZtU2tHQ63jCkuBi74mLsinHYFGO3yeGwyWE35LDbFBdjV0KcQwlxh/+OdSg1KVZD0uLlaHPlo91uKCUlQTXV9TJXPinji09kxsbJvOJaKWtYKJsgdA5+I+Pv/yujxSlz1gKZ3/qOZBgqr27SK2v2qLSyQWceM05nHjOuXVt1FA3vO6uEe9sNHZpidQlogx4xAEHjcntUUt6gPQdrtfdgnfYerNX+sjrVN7kkeQNWenKcMg7/GT0sWSkJsUpJjFFyQoziY+2KjbEr1mEL2uRy0+OR/v2MN4TZbDKXXR69IUySskfIPPdi6Z9/l7FxjeRwyDz1PGWlxet7p+RqzRclevnj3dpUfEg/OnOqRg5NtrpiYFCjRyxA4fqbTrgK998Qw1m4tp3L7dHXZfXaXVKjPSW12lVSq6/L6uRye3+kZKTEaVh6goamJygrNU6ZqfHKSInrsRcm2GwtzXK89A+5vvhUpmGTee73pKNnh+z5LbVprWwvPSNJMqfOknn2d6WYWEnSgfIGvbp2j6rrmrW0YIxOmTtKaclx7R4eru+7SBDubUePWHghiAUoXD9g4SrcfzCFs3Bou7rGFu0rrdO+0jrtL63T3tJafX2oXm63KcOQhqTFKzsjUdkZCRqWkahh6QmKi7V4Uvj+3bL9+2mpvEyy2+U592Jpar61NYXa5vUyXnpWhsctc0i2N4gOHy1JanF5VPhFiT7ZXiaPaWrR9OE6dd4Y5WQmSgqP912kCve2I4iFF4JYgML1Axauwv0HUzgLVdu1uDyqqG3SwYoGlVQ0qqSiQSUV9TpwqEHV9U5vLXZDQ9ISNDT9cPDK9IauGEcYLQFReUjG+29Km4tkyJSRli5z2WXyDB9rdWXW2F0sY9XjMuprZRqGNGuBzEUnS+mZkqQmp0ubig9pw5dlamhyaVbuEJ0wa5Smjs/UsKEpfGYDEO4/7whi4YUgFqC2HzDTNOX2mPJ4vH+bpimP6b2s3mN6t5um9zjP4eN9X3sf3/n8bafHGIYhw/D+bZMkQ7IZhgzDkN1myGYzZDu8v/VrmyFbGC3gaNUPpo7fG9/3w/f9MX1fq/33xWNKMs3Wq/HU8XtktP+n73sk+b43R75HNtuRr9t+r3zfI5vtyLFd6WvbeTym9+pCl0fOFu/Vho1Ol+obXapvalF9Y4vqGltU29iiyprmLifNO+yGdygxOU4ZKXEamp6gYekJykiJC8+1qBobpJ3bZHy+QdqxVYbvGzazQCnfvkh1bpvc7kH8o66+Tsbrq2Rs2ShJMg2blDtN5tGzpQl5UnyCXG6PvthVofVflqqiplmxDptmHjVUU8ama+rYDA3LSLT4RUQOghj6giAWgO/++lW5XO7W/8F7wrQFDak1lNkP/0/fbj/8d5vAZrd1+LqLQGcYkt1m8wYK2+GAYbQJiYef8ci/1T6sGIZiYx1qbnZ5A5BMyZQ8h8NP28B6JCwdCVDtwlSbUOV2m3J7PPJ4dPjvw8e3OV+kaP1++YKczWjzPbRJOvJ6fJmtbaj0tZm7lzek3WYoIc6hxDiHkhNjlJIQo5RE74T5lMQYZabEKyUxJvxWYne1eANXXa1UUyVVlcsoK5EO7PNeKdjmm21OnCzzuNNkHzNOKSkJqq1tHNxBzGfvThnvvylj1/bWTaZhk3JGSMNHyxyaIzM9U5WK1556aVe1qa9K6uUxTWUkx2nEkETlZCVpeFaicjITlZ2RqNSkGMU4WJusLYIY+oIgFoDSigbvP4x2f3n/bXTc0uaYYPx/zWz3V6edHb+bHXt0zB6OjURG+/90CoEdm7yrcBG0701HZnffJ+/Obr9Xnb7odpOk7l+zYRitr83whWSj6zYIF4bbJUdzoyTTW7uvkUyz12+Rx2aTxx4jT0ysTNuRYGAYhvgx157hdsvucsrmbpHh6TkomJJkePsYj7Si0X5/78/YeUs331C7zeh2X/sT2GRPTpJhD8+L/+12m9zu8AthkiLy5vbRjCAGAABgEWIxAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFoiqI7dq1S7NmzdKqVatat23dulUXX3yx8vPzdeKJJ+rxxx+3sEIAAIAjoiaItbS06Je//KUaGhpat1VWVuryyy/XmDFjtHLlSl199dVavny5Vq5caWGlAAAAXuF5t9QA/N///Z+Sk5PbbXvuuecUExOj22+/XQ6HQxMnTtSePXv00EMP6YILLrCoUgAAAK+o6BFbv369nn32Wd11113tthcVFWnevHlyOI7kzQULFmj37t06dOhQqMsEAABoJ+KDWE1Nja6//nr9+te/1vDhw9vtKykpUU5OTrttw4YNkyQdOHAgZDUCAAB0JeKHJm+77TbNmjVLZ511Vqd9TU1Nio2NbbctLi5OktTc3Bzwc5qmqbfW7O+0vbmlb+eJizny71MWjg64HgAAQqGp5KDuu/912fOm6fpL5lpdTlSI6CD24osvqqioSC+99FKX++Pj4+V0Ottt8wWwxMTEgJ/XMAzNnzZEa79oP7wZF9O3MNbcciSMrS7cp7mTMwOuKdzZ7TalpiaopqZRbrfH6nIiCm0XONoucLRd4MK97TIykvr1eLu7RU1NLaqsrA9SRdHJ33aO6CC2cuVKlZeX6/jjj2+3/Te/+Y1effVV5eTkqLS0tN0+39fZ2dn9em6326P8SenaVFzVr/O0DWNF2yqUPym9X+cLd263Ry5X+P1gigS0XeBou8DRdoGL5rZze8yofW2hFtFBbPny5Wpqamq3benSpfr5z3+us88+W//617/0zDPPyO12y263S5LWrFmj8ePHKysrKyg1dAxjfe0Vk9qHsU3FVVEfxgAAkcuQ5PGYVpcRNSJ6sn52drbGjh3b7o8kZWVlKTs7WxdccIHq6up08803q7i4WKtWrdKjjz6qq666Kqh1dAxObed++atteOtvLxsAAAPJNAliwRLRQaw3WVlZWrFihXbt2qXzzjtP999/v66//nqdd955QX8uwhgAYDAwDMlDEAuaiB6a7MqXX37Z7usZM2bo2WefDclzB2OYsi2GKQEA4cYwDDEyGTxR3SNmhf72jHUMbvSMAQDCCXPEgosgNgAIYwAAwB8EsQFCGAMARCsm6wcPQWwADUQYI5ABABA9CGIDLNhhTKJ3DABgHcMwRIdY8BDEQmAgwhgAAFYxRRILFoJYiDBnDAAQDQyrC4gyBLEQYs4YACDiGRIdYsFDEAux/i7QypwxAIClTNEtFkQEMQu0DWP9vRWSD2EMAIDIQxCzCGEMABCJvB1idIkFC0HMQoQxAAAGN4KYxTqGMZa2AACEO4MOsaAhiIWB/k7g74irKQEAA4XbGwUXQSxM9GeYsrteMcIYAGAgGHSJBQ1BLIwQxgAAkcBGDgsaglgY6+ucMeaLAQAGmmmaTBILIoJYmOlqvlh/wxi9YgCAYDFFj1gwEcTCEGEMABCuvB1iJLFgIYiFKcIYACBcEcOChyAWxghjAIBwY0qyMTYZNASxMEcYAwCEE9M0ZWNoMmgIYhGAMAYACBumZNAjFjQEsQhBGAMAhANTJldNBhFBLIIQxgAAVvMuX0ESCxaCWIQhjAEALMV6rkFFEItA/Q1jXSGMAQD8YZr0iAUTQSxC9SeMcV9KAECgTDFZP5gIYhGMMAYACDXv8hVWVxE9CGJRiDAGABgoDE0GF0EswnXVKyYRxgAAA8Q0GZoMIoJYFMiflD4gw5QAAHRkSrJxt8mgIYhFkWCHMXrFAAAdmaZkkB6ChqaMMoQxAMBAY45Y8BDEBgnCGAAgGEzTZEHXICKIRaGBmMBPGAMASIfXESOJBQ1BLEqFaxgr2lZBqAOACEcOCx6H1QVg4PjCWMfgExfj35WSzS2dg9um4qpuQ153jjx/Rb/OAwCwnmmaMrhqMmjoERsErJzA39Ox9IwBQOQxuel3UBHEBgmrwlhvvV6EMQCIPMwRCx6C2CAyEGEsGEGKMAYAkYUYFjwEsUHGihuF+zMXjDAGAJGDDrHgIYgNQlaEMX8QxgAg/HnniJHEgoUgNkiFOozNnZzp17kJYwAQ5gyGJoOJIDaIdXWzcHrGAAAIHYIYQhbGTlk42u+aCGMAgMGAIAZJgYex7nQXpPwdouzpHAAARAuCGFoFEsZ6WqGfYUoAAHpGEEM7oQhjgd8iCQCA6EIQQyeEMQBAT0yrC4giBDF0KdhhrGhbRadthDEAiECm98bfCA6CGLoV7An8qwv3tfs6kGBFGAMAi7GIWFARxNAncTH9C2S+nrH+BCrCGABYx5B3dX0EB0EMPepu+LCrQOZvQONqSgCIbCazxIKGIIZe9TSXyxfI+jtsCQCIHPSIBQ9BDH7p68T6UJyfXjEACD3DIIgFE0EMfutLWGpuOfJnIM7vQxgDgNAyDIOhySAiiKFP/AlLfQlf/p6zJ4QxAAgtesSChyCGPustOPV1vpgvSHElJQCEP+9VkySxYCGIISD+hLG+TOLnSkoAiAyGYdAjFkQEMQRsoCfwB4IwBgADzJA8JLGgIYihXwhjADC4GJJMj9VVRI+ID2Ll5eW67rrrtGDBAs2aNUtXXnmldu7c2bp/69atuvjii5Wfn68TTzxRjz/+uIXVRifCGAAMHoYhebhqMmgiPohdffXV2rNnjx566CE9//zzio+P12WXXabGxkZVVlbq8ssv15gxY7Ry5UpdffXVWr58uVauXGl12VHH3zDWlyUt8iel+32VZlfnJYwBwEAwZHoIYsHisLqA/qiurtbIkSN11VVXKTc3V5L0k5/8ROecc4527NihwsJCxcTE6Pbbb5fD4dDEiRNbQ9sFF1xgcfXRJ39SelDDj7/niovpPtxtKq4Kyx47AIhUNuaIBVVE94ilpaXpnnvuaQ1hFRUVevTRR5WTk6NJkyapqKhI8+bNk8NxJG8uWLBAu3fv1qFDh6wqO6r5ezVlsHGbJQAIEcOQhzliQRPRPWJt3XLLLXruuecUGxur//f//p8SExNVUlLSGtJ8hg0bJkk6cOCAhgwZEvDz2e0RnWEH1NzJmSraVmF1Ga02FVdp7uRMq8sImO+9xnuu72i7wNF2gYv2trMZkinJ4YjO1xdqURPEvv/97+vCCy/UU089pauvvlpPP/20mpqaFBsb2+64uLg4SVJzc3O/ni81NaFfj492pyxM0urCfVaX0apoW4VOWTja6jL6hfdc4Gi7wNF2gYvWtrPZbXLE2pWRkWR1KVEhaoLYpEmTJEl33nmnPv30Uz355JOKj4+X0+lsd5wvgCUmJvbr+WpqGuV20zfbE6t7xnzzxnxDlqsL90Vkz5jdblNqagLvuQDQdoGj7QIX7m3X3wBlekw1NbWosrI+SBVFJ3/bOaKDWEVFhQoLC3Xqqae2zgOz2WyaNGmSSktLlZOTo9LS0naP8X2dnZ3dr+d2uz1yucLvAxZugj2B399ztp2839xyJIwVbauI2Mn7vOcCR9sFjrYLXDS3ndttRu1rC7WIHuA9dOiQrr32WhUWFrZua2lp0ZYtWzRx4kQVFBRow4YNcrvdrfvXrFmj8ePHKysry4qSB6VgB5++hLBAHg8A6J7BVZNBFdFBLDc3V0uWLNHvfvc7rV+/Xtu3b9eNN96ompoaXXbZZbrgggtUV1enm2++WcXFxVq1apUeffRRXXXVVVaXPuiEckjQn6snCWMAEBjDMORhHbGgieggJkn33nuvFi5cqGuuuUbLli1TVVWVnnrqKY0YMUJZWVlasWKFdu3apfPOO0/333+/rr/+ep133nlWlz0ohXKyfNsw1l0wI4wBQN8ZEjf9DqKIniMmSSkpKbrtttt02223dbl/xowZevbZZ0NbFLoVygn8rCsGAAPDzUJiQRPxPWKIPFZOlu94OyR6xQCgb7wr61tdRfQgiMES/t5HMpg6TuInjAFA3xmGIZOxyaAhiMFSoQpj3V1JSRgDgL4jhwUPQQyWs3pdL8IYAPiPqyaDiyCGsDDQYay3ifuEMQDwj2GIockgIoghbBDGACASGHITxIKGIIawYnUY8yGMAUDXbJJMVq8IGoIYwo6VYay32yMBwKBnSKboEQsWghjCktVrjUn0igFAlwyumgwmghjC1kCGMeaLAUBgDIn+sCAiiCGsEcYAILwYYkHXYCKIIewRxgAgjDA0GVQEMUQEwhgAhA96xIKHIIaIQRgDAOsZokcsmAhiiChcTQkAFjMMJusHEUEMESd/UvqABDJ/F3sFgMHMkOgSCyKCGCKWFWGMXjEAYPmKYCKIIaIRxgAg9OgQCx6CGNAFwhgAIBQIYoh4Vk3gJ4wBAPqLIIaoMBAT+P2ZvB9IGNtUXEV4AwBIIoghyoR7GGt7DGEMQKRiQdfgIYgh6lgZxnrTtjYr10QDgEAZhtUVRBeCGKKSVWGMXi4AQF8QxBC1rAhjUu9hbKAWpAWAUGFgMngIYohqoQ48gV5J6ZvAT48agEjA6GTwEMQQ9YIZxgbiSsqOxxHGAGDwIIhhUAjHMEYPGIBIxAWTwUUQw6ARzLlZA7XGmA8hDUA4M7h0MmgIYhh0wiWM+VMHYQwAohtBDIOSFWEsUEXbKvp3AgBA2CKIYdAKZRiTAu8Vk6TVhfv8LwgAEDEIYhjUQrW8RTBuEE7PGABEH4IYBr1ghLH+zBfry/MzZwxAOGCufvA4rC4ACAf5k9L7HXLiYnqfD9bc4j2uP8+1qbiKlfkBIErQIwYcFozlLUIxeV+iZwyAtegQCx6CGNABYQwAECoEMaALhDEAQCgQxIBuhCKMAQAGN4IY0IOBDmP0igHA4EYQA3ox0FcoEsYAYPAiiAF+6E8YY74YAKA7BDHAT4QxAPAyrS4gihDEgD4gjAGAZJLEgoYgBvRRfxZ+DdWVlIQxAIgMBDEgQAMVxgLpFWtuOfLHhzAGYCAYhmTSJRY0BDGgH6wOYx3DV8fHEsYABJsh5ogFE0EM6Cerw1hvjyWMAQgqgzliweSwugAgGvQWxgINQ80tgc8ra/vYTcVVA74eGoDBwmBoMojoEQNCoLsQ1N/J+6FYuR8A2jJEj1gwEcSAEAk0jPU3TPkezxAlgGAwbIbcHo/VZUQNghgQQoQxAJHOJokcFjwEMSDEuluHLNAw5u/wJmEMQDAYhuRhbDJoCGKARYIZxvxFGAPQX4ZhyOMhiAULQQywUFe9Y4GEsb5M+ieMAegPwzDoEQsighgQBvoaxvqLMAYgUDab1OJmkliwEMSAMNGXMNbfXrHuzgEAvbEZhtxuk7XEgoQgBoSRjkOVfQ1jfdXcQq8YgL6x2wxJkotesaAgiAFhKNAwFuiQJmEMgL9sh4NYi4sesWAgiAFhyt9bEnElJYBQshmHgxg9YkFBEAPCmC+M9dTT1XFfIL1ihDEA/rK39oi5La4kOkR8EKuqqtKtt96qJUuWaPbs2broootUVFTUur+wsFDnn3++Zs6cqdNOO02vvPKKhdUCfTd3cqakrgNWd6GLMAZgoPiGJp0t9IgFQ8QHsWuvvVYbN27Uvffeq5UrV2rKlCn64Q9/qK+++ko7d+7UVVddpcWLF2vVqlVatmyZrr/+ehUWFlpdNtAnpywcLalvAYswBmAgxDi80aHJSY9YMDisLqA/9uzZo48++khPP/205syZI0m65ZZb9MEHH+ill15SeXm58vLydM0110iSJk6cqC1btmjFihVauHChlaUDAesuYPlCVNv9cTF9n0PW3OJ93KbiKr/nqQEYPBx2bxBrdrosriQ6RHSPWEZGhh566CFNnz69dZthGDIMQzU1NSoqKuoUuBYsWKANGzaw/gkijm+Isit9DVt1jabqGrv/DLDGGIDuOOzeoUl6xIIjonvEUlNTddxxx7Xb9sYbb2jPnj361a9+pRdeeEE5OTnt9g8bNkyNjY2qrKxUZmb3/2Prjd0e0Rk25HztRbv1Xdu2mzs5U0XbKtrt7xiafD1aPj31inUVxpITjNbzbCqu6jEAhjved4Gj7QIX7W0XG2OX5JHT7ZHDEZ2vMZQiOoh19Mknn+imm27S0qVLdfzxx6upqUmxsbHtjvF97XQ6+/VcqakJ/Xr8YEW7Bc7XdqcsTNLqwn0D9jx1jWa7MFa0raJ1jlqk4n0XONoucNHadklJcbIZjbI57MrISLK6nIgXNUHsrbfe0i9/+UvNnj1by5cvlyTFxcV1Cly+rxMS+vcBqalplJs1VPxmt9uUmppAuwWgq7Zr2zMWyDyw5ASjx6HJjmFsdeG+iOwZ430XONoucOHedv0NT02NTsXF2nWookGVlfVBqir6+NvOURHEnnzySd1555067bTT9Ic//KG112v48OEqLS1td2xpaakSExOVkpLSr+d0uz1yucLvAxbuaLfAdWy7/EnprVc3tg1jHSfzBzrfq6uesUidvM/7LnC0XeCite08Hik+1qHaemdUvr5Qi/jB3aefflp33HGHvve97+nee+9tNxQ5d+5crVu3rt3xa9as0ezZs2WzRfxLBzrdCqkvS1b4QlZP2vaacV9KAD4JcXbVNXJVTzBEdBrZtWuXfv/73+uUU07RVVddpUOHDqmsrExlZWWqra3VJZdcos2bN2v58uXauXOnHnnkEb3++uu64oorrC4dCJqB7qXqOIRJGAOQEOsgiAVJRA9NvvHGG2ppadHq1au1evXqdvvOO+883XXXXXrggQd0991367HHHtOoUaN09913s4YYBo3ehiV7myvm4xum7HhFJoDBKT7WodrG/l30Bq+IDmI//vGP9eMf/7jHY5YsWaIlS5aEqCLAGm3ni/WkbYjyhbRAwhiLvQKDW0KcXeU1TVaXERUiemgSwBE9BaOu5o8F0rPlC2zMFwMGt4Q4h2ob6BELBoIYEEU6hrHeJvD79vkzcd+HMAYgOSFG9U0uucJweY5IQxADokygQ4aEMQD+Sor3/hZXU0+vWH8RxIAo1Jcw1rbHjDAGwB/JCd4p5lV1BLH+IogBUSrQMBYIwhgwuCQleH9oVNc1W1xJ5COIAVEskDAWSK8YgMElMc4hm2GoiqHJfiOIAVEuVGGMXjFg8DAMQ8kJDlXV0iPWXwQxYBAI1er7hDFg8EhOjFVFLWuJ9RdBDBgk/A1jgfSKSYQxYLBJSYxReTVBrL8IYgA6IYwB6E1qYqwqGJrsN4IYMIgM9HwxiTAGDBapiTGqqGmSaXLRTn8QxIBBJhTLWhDGgOiXkhgrl9tUbUOL1aVENIIYMAj1dfJ+X3vFpPZhDED0SU2KlSRu/t1PBDFgkBroyfvSkTBGrxgQfVqDGBP2+4UgBgxioQpjDFEC0Sch1q4Yh40esX4iiAGDXCjCmMR8MSDaGIahtKRYesT6iSAGoM9hrCsHqj2tfzpi8j4QnVISY3SIHrF+IYgBkNS3MNZbrxhhDBgcUukR6zeCGIBWwQxjXSGMAdElLZEg1l8EMQDt9GVpi+7C2PC07n+0sKwFED1SkmLV0OxSs9NtdSkRiyAGoBN/wljH+WLD02ytf9rqaZiSXjEgsqUken8QcPPvwBHEAHTJ3zDmzxBld2GMIUogsqUkeNcSq+SekwEjiAHoVn/DWNsARhgDoo+vR4wgFjiCGIAeDXTPmMTkfSBSOew2JcY7VMESFgEjiAHo1UCGMa6kBCJbamIsPWL9QBAD4Je+3ii8LwhjQORKjHeout5pdRkRiyAGwG+9hbGOvWIdr6D0XVXZ1Qr8LGsBRKbEOIdqCGIBI4gB6JNAwlhXy1pI3Q9T0isGRI7EeIdqGvgNKlAEMQB91tcw1lbH8NVVGGOIEogciXEO1TbQIxYoghiAgPQnjHVEGAMiV2K8Q01Ot1pcXV8VjZ4RxAAELH9SetAm8Xe1tAVhDAh/iYdvs0GvWGAIYgD6rbsw1rFXrLt1xLraz5WUQGSIj7VLkhqaXRZXEpkIYgCCwp8w1tPNwH0IY0BkiY3xfq6bmrnxdyAIYgCCZqDDGIBwYLb7Ktbh7RFrctIjFgiCGICg6m7eWDDCGL1iQPjx9Yg1OukRCwRBDMCA6C2M9RVXUgJhwuymR4w5YgEhiAEYMD1dUdnXXjGJMAaEI5vNUIzDRo9YgAhiAAZUxzDWnyFKiTAGhKMYu00tLoJYIAhiAEKuv2FM4kpKwDIdhiYlyW4zWNA1QAQxAAMuGPPFWNYCCBNdBTG7Iben83b0jiAGICR6CmP+9IpJLGsBhCu73UaPWIAIYgBCprswJvk3RCl1HcbWbq3qb2kA/NXN0KTLTRALBEEMQEh1FcZ6mi+2v7LzJfGsMQZYyOwcuLxBjKHJQBDEAIRcX6+k9CeMMV8MCBFPd0GMHrFAEMQAWKKnMOYvwhhgAU/nZSoIYoEjiAEIG11N3h+V4dCoDEe3jyGMASHWZY8Yk/UDRRADYJn+rrzfFV8YAzBAXJ2nCtjt9IgFiiAGwFL9XXlf6nrBV66kBAZIi7PTJhZ0DRxBDIDlApm87/vj09WVlB99VjEA1QKDm+Fs7rTNbrOphR6xgBDEAISFQCfv9xbGVhfuC06BALycnXvEYmNsauam3wEhiAEIG92tMdaX+WJdTd4v2kbPGBA0zqZOmxLiHKprZHJmIAhiAMKWb9V9qfv5Yl1dUcmVlMAAqqvptMkXxMwuVt1HzwhiAMKKP/PFfEtasKwFYIHqqk6bEmLtcrlNNbcwPNlXBDEAYaen2yD1pLcJ/CxrAQRBdWWn+00mxnl/Kapr4EPWVwQxAGGpbRjzDVH2NF+sbQDrKYyxrAXQP4arRWqsb7ct4XAQq2WeWJ8RxACErb6Gsba6C2MSa4wBgfIYh3umS75utz050fsBLa/uPJEfPSOIAQhr/lxJ6Qtd5XUtKq9r6bRdOhLGfMtaMF8M6DuXYZckGbu2t9ueFB+j5IQY7S2ttaKsiEYQAxAx2l5FKfm38n53YYzJ+0DfuYzDF8js2tFp37D0BO0pIYj1FUEMQNjrbojSx3f1ZFZyjLKSO6Q1EcaAYHHZvD1iOrC/0zyxYRkJ2nuwzoKqIlvIgpjH49GLL74YqqcDEGV6my/W01IWEmEMCAaPDJlDsmXIlLZubrcvOyNB1fVO1dR3Xnkf3QtZEHO5XLrppptC9XQAolBv88X6E8YA+MfMny9JMj54s90NwIdlJEqS9h5keLIvev6p1Uf3339/t/tcLle3+4Llr3/9qz788EM98cQTrdu2bt2qO++8U59//rkyMzN12WWX6dJLLx3wWgAMjPxJ6dpUXKW4GLUGqOQEQ8Nl04Fqj0ZlONoFLt/kfd+Q5f5KV2tgO1Dt0fA0W+uyFvOnpIf0tQARqeBYmevel1FTJXP9h9IxJ0qS0pNjlRDn0Na9lTp6QpbFRUaOoPaIPfjgg9q1a5fKyso6/SkvLw/mU3Xy1FNP6U9/+lO7bZWVlbr88ss1ZswYrVy5UldffbWWL1+ulStXDmgtAAaWr2es7eT97pa1aCjfpYbyXe2upuwKa4wBfnLEyDz+dEmS8dHbUmOD99+GobzR6VrzxUF5uNWR34LaI5abm6szzzxTJ5xwQqd9zc3N+uc//xnMp5MkHTx4UL/5zW+0du1ajRs3rt2+5557TjExMbr99tvlcDg0ceJE7dmzRw899JAuuOCCoNcCIDz4esU6hq/yuhZlJcd02SsmiZ4xwF/T58osfFdGWYn07qsyT79AMgxNG5ehTcWHtH1vlSaPzbC6yogQ1B6xZcuWyePxdLnP4XDopz/9aTCfTpL0xRdfKCYmRv/+9781c+bMdvuKioo0b948ORxH8uaCBQu0e/duHTp0KOi1AAid3nrFRmU4lJUco8Ss8UrMGt/pisq2t0PquPo+k/eBXthsMk8+W5JkbPhIxnuvS5JGDElSenKsCr8osbK6iBLUHrGLLrqo2312u31AgtiJJ56oE088sct9JSUlys3Nbbdt2LBhkqQDBw5oyJAhAT+v3c7KH33hay/are9ou+7NnZypom0VPc4X81fbnjHflZRzJ2cORNkRgfdd4KK97ez2w0vH5E2Vedp50usvyPjgTRkxDhlLlmra+Eyt31aq758xWbEOu7XFRoA+B7HXX39dn376qeLi4pSXl6dFixYpNTVVkuR0OrV582YNHTpUY8eODXqxfdXU1KTY2Nh22+Li4iR5h0r7IzU1oV+PH6xot8DRdl07ZWGSVhfu6zaMdaftsGVXk/clQ0XbKnTKwtEDWX7Y430XuGhtu5SUNq/rlNPUbDfU/Moq6Z1XFZuYoPmzFuujz0pU/E2dFs0cYV2hEaJPQezPf/6zHnjgASUmei9RbWhoUHx8vK644gpdeumlWrZsmfbu3StJmjJlim6//XYdffTRwa/aT/Hx8XI6269n4gtgvtcQqJqaRrnd3f+QR3t2u02pqQm0WwBou9511TMm+Vbeb38VpeQNYQ3luw5/NV5S92GssrL9opWDBe+7wIV722VkJPXr8bW1je03FCyRGpqkd19V88srFet0aWTWcK18Z7umjE6VYRhdnyjK+dvOfQpizz//vE499VTdc889cjgc2rp1q1asWKG//OUvevXVV1VWVqa77rpLbrdbTz31lC6++GI999xznYYHQyUnJ0elpaXttvm+zs7O7te53W6PXK7w+4CFO9otcLRdz3zLWvgkJxit95Vsu6RF+xDmvaoyKzm322UtPvqsYlBP3ud9F7hobTu3u4srIo89RUZLi4wPV0tv/ksXjJyoxxwztG7LGM3JGxr6IiNInwawKyoqtGjRotbJ71OmTNE999yjs88+W7t27dJFF12kc845R+eff76eeeYZTZgwQQ8++OCAFO6PgoICbdiwQW63u3XbmjVrNH78eGVlscYJEI16mrzfHd8wZXcLvrKsBdA78/jT5Tn5bJl2hxK/3qkf7XtJW/+xUi1OVkzuSZ+C2MiRI7V58+ZO2//rv/5Lpmlq+vTprdtiYmJ09tlna9OmTf0uMlAXXHCB6urqdPPNN6u4uFirVq3So48+qquuusqymgAMHH/WF+t4L0rfFZU+hDEgQIYhLTxB5lXXyxw3SQ6PS/P2r9GXt96qpt27ra4ubPUpiF144YVauXKl7r//flVWVrZuz8vL089//nNNmjSp3fFxcXEqKysLTqUByMrK0ooVK7Rr1y6dd955uv/++3X99dfrvPPOs6wmAAOrqzAmeeeL+XrFErPGt/7dNoSV17WovK6l2zDGshaAH7KGyrz4J/Kc9V05HXGKPXRAe+/8rcqe/Yc8/bxQLhoZptm35W//8Ic/6PHHH5ckTZgwQXl5ee3++OZetbS06OKLL1ZZWZneeeed4FduscrK+qgc+x8oDodNGRlJtFsAaLvAbCquajdx3zdf7EC1p9PkfZ99e7ZLOhLQ2g5n+nrVslKNLu95GW143wUu3Ntu6NCUgB9bUl6vHbv8v1NO3aEKff3kk5pS652XaU9LV8ZJJyttyfGyJycHXEck8Led+xzEJGn//v1avXq1Nm/erO3bt2vPnj2t87DS0tKUm5urQ4cOadeuXVq2bJluvPHGfl+lGG7C9QMWrsL9B1M4o+0C11UY8/Vw9XwlpTR6rPcio45hLDnBUFxM1zcgjya87wIX7m0XyiAmSR9sPqCyog1aVr9RZlWFJMmIjVXqomOVcdJSxebkBFxPOBvQINZRS0uLdu7cqe3bt2vHjh3avn27tm/frgMHDnifxDCUnZ2tiRMn6qijjtKNN97Y36e0XLh+wMJVuP9gCme0XeAcDpuKtlX4FcZ8vWFt9RTGov1KSt53gQv3tgt1EHO5PXrizS8VZzP131M8qn1ntZr3eZe6kmEoaWa+Mk5eqoS8yVG11EVIg1h36urqWkOZL6Dt2LFDa9asGainDJlw/YCFq3D/wRTOaLvA+dpudeG+1jDW1RBlx94wn7ZzyAZbGON9F7hwb7tQBzFJKqtq1BNvfqklM0foe6fkqvHLbap883XVb/609Zi4MWOVccqpSimYJ8MR1Bv/WMLfdh7QV5qcnKzZs2dr9uzZA/k0ANAr32KvvvXFulvstaNubxQuGzcIB/w0ND1Bx+eP1Fsb9mv6hCzNnDxFiZOnyFlyQJVvrVbNxx+qee8elTz8kMpWPqf0405QyoKFih06zOrSB9yA9ohFs3D9TSdchftviOGMtgtc27braohSOtIz1rFXzHdlpc9g6xnjfRe4cG87K3rEJMk0Ta16/ysdrGzUHT+cp7TkuNZ97ro6Vb//H1W+/Zbc1VWt2+MnTlLq/AVKLpgnR0pqwHVbwd92js47kgJAB/mT0jutLyYdWdai7TIWbUNYQ/kuNZTvap1D1nFpC5a1APxjGIZOmz9Gpmnq4Ve2ytOmH8ienKzMM87UhD8sV84Pr1TilGmSYahpZ7FKn35SX/3yGn39v/eqZm1h1C2BEfmDsADgJ99tkJq7WOjb29OV2+5m4B11NUwpSeU13jAW7VdSAv2VFB+jMxaM1T//s1NvrN2r0xeMbbffcDiUuvAYpS48Rq6qKtWuW6uatYVq3rNb9Z9tVv1nm2XExSk5f7ZSFyxU4tRpMux2i15NcBDEAAwqbcNY2/livisp2+o4gd/79fh2Ycx3X0rCGOCf8cNTtWBqtp5/b6fG5aRoyrjMLo9zpKcrY+mpylh6qpwlB1SzplC1awvVUlam2rXef9tTUpRSME8p8xcqfsLEiLzqkjliAQrXsf9wFe5zJsIZbRe4ntqubc9YV/PFJG/wair5rPUx8Tne27h1dTVltM0X430XuHBvO6vmiLXl8Zj653s7VV7dpNsuL1BmarxfjzNNU01f7fQGsfXr5K6tbd3nyMpSypwCJc8tUPz4CZaHMuaIAYCfepov1pWG8l2dbhTumy/GPSmB3tlshs5aOFY2Q/rLC5+pxc/AahiGEiZO0rD/ukQT7r5PI39xrVLmL5QRFydXebkq33xd+35/h3bd8EuVPfsPNX61U+He30SPWIDC9TedcBXuvyGGM9oucL21XVe9YtKRnrGuFnltK5p7xnjfBS7c2y4cesR8DpTX6+m3dmjxzOG69NTJAZ/H43Sq/rPNqtuwXnWfbpLZZkK/IzNLKXPmenvKQjh8GRYLukazcP2Ahatw/8EUzmi7wPnTdt0NUUoa1GGM913gwr3twimISdKnxYf0xvp9+uG3pmjR9OH9Pp/H6VT955+prsgXyppa9zkyM5U8p0ApvuFL28ANDIbFgq4AEO56m7yfmDW+y1X3fbqdwM+Cr4BfZkzM0jfl9Xr89S81NidFo4b272bgtthYpcyeo5TZc+RxOtXwxWeqLVqvuk2b5KqoUNXqN1S1+g05MjKVMm+eUhctVtyIkUF6NX1Hj1iAwvU3nXAV7r8hhjPaLnB9abveJu93DGNNJZ+1Tt6Xuu8Zy0o1IvJKSt53gQv3tgu3HjFJanF570cZH2vXLd8vUIwj+D1VnhanGj7/XLVF61X/6UZ5mo70lMVPmKDURUuUUjBP9sTEoDwfPWIA0Afd9Yz5fkw2dPH/nrZhrG3PWFvlNfyuC/QmxmHTtxaO1ZNvbtcLH3yl75wwKejPYYuJVfKs2UqeNftwKPtM1R9/pPrNn6rpq6/U9NVXKnv2aSXPnqO0RYu9NyEfwKFLH4IYAPTgSBjLbZ0v1nZJi67CmKR2a4y9/UmlTpqdEeLKgciSnZGoY6cP1xtr92rmxCzljRm4z4w3lM1R8qw5clVXq2bNx6r56AM5v/lGtWsKVbumUI4hQ5R2zLFKXXSsYrKGDFgtDE0GKFy7nMNVuHfVhzPaLnCBtJ2/V1L6wljb4Ukf3zBlJE/e530XuHBvu3AcmvTxeEw9+26x6htbdPsP5ykxvuelZILJNE017dqlmo/eV+26tfI0Nnp3GIYSJ09V6rHHKmVOgQyHf31YrCMGAAFoe09K3/piPqMyHK33oYzPmd5lCJOOrDO2v6JF8TUVqt+xV86Scq3dUjmgtQORzmYzdMaCsapvcunJN3u+YjnYDMNQwoQJyr7kMk1Y/iflXHGlEqdMlUxTDVu/UMnf/qo9t/9GjTuCWxdDkwDQQU9XUnrngPV8JWViU52Oe/1POmPja8ou39e6vXb4WO399mXK/vkPZaalD/wLASJQWlKsTp4zSq+s2aOCKcM066ihIa/BFhen1AXHKHXBMWo5VKaajz9S1Ttvy/nN19r3h98r9dglGvrt78ie3L8rPCWGJgMWrl3O4Srcu+rDGW0XuP62XV+vpJSkKRtW6qZ3n1Zsi3dBSZuO/Ij1GIYMSe74BNX9/Um1nHhy319UiPC+C1y4t104D036mKZ3iNJmGLrl+3Mtv12RJLnr6lS28jnVfPC+JMmenKIhyy5U6jGLuqyPoUkA6Ke2w5Q+Pd0GacqGlbp19d8V29Ism8x2IUySbKYpwzRlb2pS2n8tU8w7bw1k+UDEMgxD8yZna3dJrb7cW2V1OZIke3Kycr7/A42+4WbFjhwld12tDv59hfbffZecB74J+LwEMQDogW8NsLbzxXxhbPTY3NZt9j3rdOM7T8owOwewjgzTI5mm0n5wiYzqqoEoG4h444enaFh6gl5ds8fqUtpJOOoojb3lNg25YJmM2Fg1bv9Su2+7RbXr1wV0PoIYAPSiq8n7HcPY0tIDinM5/f6hapgeqbFB8c/9I8jVAtHBMAwVTBmmz3dVaF9pndXltGM4HMo8/Vsad/udSpx2tOR2q+LVlwM6F0EMAHrR3ZWUvjCWmDlOpxe9FNC5jb88IDFVF+jS5DEZSkuK1Wtrw6tXzCdmyFBlX/x9SZLzwDcy3e4+n4MgBgB+6GlZizFGnXKqDvT5B6phmkr6Zo8+Wbs7KDUC0cZuMzQ3b6jWbTmoytpmq8vpkiMrS0ZcvEyXS86DJX1+PEEMAPzUVRgbnmbT2Dhnv87rrKjV2q1V/awOiE5HjUqXx1TYDU/6GDab4kaNkiQ179/Xy9GdEcQAoA+6upIyY1j/1hLa70pUXaOpTcVV/ToPEI2SEmJkSKqsber1WCs0f/21XJXexZpbDh7s8+MJYgDQR74w5usVc6ZmqHb4WHn6uNaRR4YODR2jpuR0Haj2qLyGMAZ0ZLcZSkqICcuhyZrCj7X3zt/KVVEuR0aGkucU9PkcBDEA6IfkBEMyDO045zIFsuTk68d8T/urvBN8fWEMQHspCTGqqgufIOZpcergE4+q5OGHZDqdSpw6TWNu/a3iRozo87kIYgAQgI7zxXadfIFccQkyDf9+rHoMQ86YOL01IV+StL/SJckbxt7+hHtSAm2FU49YS1mZ9v1/d6r6vf9IhqHMs87RyP/+HzlSUgM6H0EMAALUNozFDU3XR79+UKahXocoPTJkytDy829WQ3yyyuu891HyhTFJTN4H2khJtD6IOctKVfb8c9pz+61q3rtHtuRkjfzFtRpyznkybIHHKW76DQD90PYG4XWLj9f7tz+qRb/7sYzmRplmh3tNHh68dMbEafn5N2vzhNmSdPieleOVlRxzOIw5NFw2rd1apflT0kP/ooAwU9vgVFJ859uKDTTT7Vb95k9V9Z931PDF563b4ydM1PAf/0QxmVn9fg6CGAD0U8cw9u8n12jcW6s08YVHlH5wb+txpek5em3u2frP9JNUWfWVVPKZ4nOmS2ofxiTvECVhDJBcbo/2HKzTOceOD91zVlWp+oP3VP3+e3JVVrRuT5x2tNKPP1FJM2bKsNuD8lwEMQAIgrZhrCU5TTvOvVw7zrlMlV9XqLykWl+VlaguIUXqMGzZ1EUYk6RRGY7WMLapuKr1npfAYLO/rE4tLo+mT+h/71NPTNNU47atqvrPO6rbtFE6vEq+LTlZaYsWK+24ExQ7bFjQn5cgBgBBkj8pXWu3Vik5wVBdoykZhjJGZakpJUMZQ0apbs92Sd7wJUnOuoOKTc7uNYyJMIZB7KtvapSeHKtRQ5MG5PwtFRWqXb9W1e+/p5Y2K+PHT5yk9ONPVPLcubLFxA7Ic0sEMQAIqrgYqblFR8KYvKvve3/c5mrfnu2Kz5muppLPFJucLUmtIcynuzAGDEa7Smo1fUKWjD6u09cTV1WlaouKVFu0Tk3FO1q3G3HxSl2wUOnHn6i40aOD9nw9IYgBQBC1HaLsLYz1pKF8l7KSc7W/0qVRGd4f1W9/UqmTZmcM8CsAwkdVXbPKq5uCMizpqqpS7SdFqlu/To3FOyTzyIU08ZOOUur8hUpduFC2+IR+P1dfEMQAIMh6C2PldeMP93r1rLyupf2VlGlM3sfg8tFnB5QU79C08ZkBPd5VXa26T4pUu36dGndsbx++Jk5SytwCJc8pUExmYOcPBoIYAAyA7sKYpMNXRvYexriSEoPZnpJafbG7UpefMVkJcf7HFVdNjTd8Fa1X45fb2oevCROUMneeN3xlDezkf38RxABggHQVxo4MUUpdhbG2E/el7q+kJIwhmrncHq0u2qejRqXp2OnDez3e3VCvuk8+Ue26NWrYuqV9+Bo/QclzC5Qyt0AxWUMGsuyAEMQAYAD1JYz5rqb0N4xxJSWi1dotB1Vd79Q1F+Z3O0nf09ysuk0bVbt+rRo+/0ym68idKeLGjVfK3AKlzClQzNChoSo7IAQxABhggfSMdcc3eZ8rKRGtKmqbtGbLQZ02f4xGDmm/ZIWnxamGzz9T7bq1qvt0k0yns3Vf7MhRSimYp5R5CwZkva+BQhADAIu0DWMN5Z2XsWir422QuJIS0cg0Ta1ev08ZKXE685hx3m0ulxq2bfWGr40b5GlsbD0+Zugwpcyfr5SC+YobOcqiqvuHIAYAIeDvshY96XLyPldSIop89HmJ9hys07UXzpRKvtbB9/+juvXr5a6rbT3GkZF5uOdrvuLGjgvq+mJWIIgBQIgEM4xJTN5HdPlyb6XWfPa1Lh3VpNRnH9SeNgut2lNSlDx3nlLnzVf8xEkybNEzLE8QA4AQ6mlZC+9wY+9hTPKuMeZ7DGEMka5s7zeqfvkN/XdtsWJ3NqhJkux2Jc+ao7TFS5Q4eUrQbrIdbghiABBi3U3e907Al0aP7TmMNZTvUmKWt1es7eR9rqRERDE90q4dcq/9QEOLtyhb3l9K7OnpSj/uBKUtPk6O9HRrawwBghgAWKCnKyn3V7r8CmMdJ+9zg3BEhKZG6dN1Moo+klFR1nrtb8ykPA055WQlz5wlwzF44sngeaUAEGZ6C2OJWV0va+HrDZOO3AaprfIas+NDAOu53dKGj2S894aMpgZJUos9Vp+lTNDci8/T+Pw8iwu0BkEMACwWFyO/1xhrG8K6HaLkSkqEm6++lPHGCzIOHZQkmUOy9dXomfpXdZYuPXuGJh3d++r50YogBgAW8vWK+XQXxjryhbPuhiiZvI+wUFEmY/W/ZWz/XJJkJiTJPOF0bcnI08tr9+nsxeN0zCAOYRJBDAAs13aIUuo6jPmukuyOb4iSMIaw0Nwk48PV0tr3ZLjdMm02qeBYmYtP1d5at157d6eOOTpH5xzb+ZeMwYYgBgBhoD9hrO0QpdT5SkrCGEJq+xcyXnlWxuFFWM2Jk2Wecq40NFuHqhv14ge7lDs6XZedPjniF2MNhuhZEQ0AIlz+pHTFtZl3n5xw5H9SozIcnSblt9VQvqvLoHag2qO6RrPd8CcwYDaukfHcwzLqamVmDpXnu1fIvOhKaWi26hpbtPK9r5SVGq+rz5suh50IIhHEACCsdBXGvL1iPYextj1ikrdXrC2upMSAMk3pw9WyvfysDNOUOXOezB9fLx01TTIMOVvcWvX+ThmGdM13ZioxngE5H4IYAIQZf8KYL3glZo3X6LG5ykqO6RTSfGHMt1Ds2q1VA188Bh/TI+PNF2R791Xvl4tOlnnWdyW7N2yZpqnX1u5VZa1T/71spjJT462sNuwQxAAgTPUWxnwBrK2Ow5Ntw1hdo0kYQ3C5XTJeeFLGug8kSZ6l58o88VtSm7lf67aW6st9VfrRWVM1JjvFqkrDFkEMAMKQb2X8nsJYd7qb1E8YQ7AZq/8t44uNMm12ec67RJp/XLv9uw/U6P3N3+jMY8Zqdu5Qi6oMbwQxAAhTwQpjHeeLEcYQFF/vkdZ/KEkyv32ZdPTsdrur6pr1UuFuTRuXqXOPnWBBgZGBIAYAYawvYayntcY6zhfjSkr0i8ct45XnZMiUOX2ulHd0u90tLo/+9eEuJcXH6Mqzp8lmY5mK7hDEACDM9adnrCu+MNbcIsIYArP2fRkHv5GZkCjzlHPa7TJNU2+u36uK2mb99PzpSk7oftkVEMQAICL4E8Z8E/e7uoJSaj9E6Zsv1tzzgv1AZzVVMt57XZJknny2lJTcbveW3ZX6YnelLj99MpPz/TAogpjH49Gf//xnLV68WPn5+frRj36kffv2WV0WAPRJX8KYv5gvhj77rEhGi1PmyLHSzIJ2uxqaXXp349cqmDxMC6blWFRgZBkUQeyBBx7Q008/rTvuuEPPPPOMPB6PrrjiCjmdTqtLA4A+8YWxjvwdpuzYKyYRxtA3xrbPJEnmzHmS0T5G/Gfj1zIl/dfJR1lQWWSK+iDmdDr1yCOP6Oc//7mOP/54TZ48Wffdd59KSkr05ptvWl0eAASku1shSX2bM0YYQ1/YTFPGN3tlyug0QX9PSa0+31Wh75wwUWnJcRZVGHmiPoht27ZN9fX1WrhwYeu21NRUTZ06VevXr7ewMgAITNshSl8gaztEKfUcxjouZ8GVlPBXjHn4vTNqrJSc2rrd5fZoddE+HTUqTYtnjrCousgU9Td7KikpkSQNHz683fZhw4a17guEnZuV9omvvWi3vqPtAhfNbTd3cqaKtlVI8oax5pbDYezw79cHqj0aleHoFLp647uScv60IZKis+0GWjS/7xyHg5gxZYZs9iM9sR9+dlDV9U5d973Zio2xW1VeRIr6INbY2ChJio2Nbbc9Li5O1dXVAZ83NTWhX3UNVrRb4Gi7wEVr252yMEmrC70XHrUNY3WNpoan2boNY131lh2o9mh4mk11jaYko7XNorXtQiEa285mentPE486So4U7+urqm3W2i0HteykXB191DAry4tIUR/E4uO9Nxd1Op2t/5ak5uZmJSQE/iGpqWmU2+3pd32Dhd1uU2pqAu0WANoucIOh7brrGfMGKi9/54y1DWMvv79PZy4ZHdVtN1DC/X2XkZEU8GNtpvd91RCfKqPW29Hx3ob9ioux68RZw1VZWR+UGqOBv+0c9UHMNyRZWlqqMWPGtG4vLS1VXl5ewOd1uz1yucLvAxbuaLfA0XaBi/a2y5+U3mlul2+Y0jf/q698YWzR9MyobruBFI3vO0OSGRMrMzFFcptqbnFrU3G5TpwzUg6bLepebyhE3wB2B5MnT1ZycrLWrl3buq2mpkZbtmxRQUFBD48EgMjhzwR+f3QMbr7eNqBVxhDJ8M4P+2xnuVrcHp08Z7TFRUWuqA9isbGxuvjii7V8+XK9/fbb2rZtm6655hrl5ORo6dKlVpcHAEHTdo2xYIQx38r7XEmJdtLSJUkej6kN28s0b8owZaSwXEWgon5oUpJ+/vOfy+Vy6de//rWamppUUFCghx9+WDEx3P8KQHRpO0zZ8WrKvgxTdpy8v6m4qtvFZDHIxHnnV2/fX6XqeqdOLRjTywPQk0ERxOx2u6677jpdd911VpcCAAOupzAmdR5+7A1hDO0cvvBt445DyhudrrE53E+yP6J+aBIABqPuhin7omNg4wbhkCTFJajJ6dL+sjotPJr7SfYXQQwABoG2t0Tq65wxSa3LYTBfDGZcnHaX1Mo0paPHZ1pdTsQjiAFAlOo4jBgXc6RXLNAwxuR9yO7QV9/UaMSQJGWmxvd+PHpEEAOAKNZbGOstkHUcniSMQXa7dpfUasaELKsriQoEMQCIcj2FManvvWOEscGtpsmtusYWTZ/AsGQwEMQAYBDoTxjr7ipLwtjgdKi2RbExNk0alW51KVGBIAYAg0Rfw5hv6LKrkNb2XpYYXKobXRqTnaIYBxEiGGhFABhE/Alj/swd86FXbPCpbXJp5JDAbxyO9ghiADDI9BbG/OXrFSOMDS51jS0ankUQCxaCGAAMQoQxBMrlkUYMSbS6jKhBEAOAQYowhsAYGkGPWNAQxABgEOvq3pGBhLG2CGPRLSbGpoyUOKvLiBoEMQAY5DrelzKQnrG2vWKIbknxMTKM/oV1HEEQAwAEtWeMIcrolhDnsLqEqEIQAwBI6twzJvUtjHVcW4wwFp0S4mN6Pwh+I4gBAFoFK4z5higJY9GHHrHgIogBANrJn5SuuZO99xFsG8b6OlRJGItOBLHgIogBALp0ysLRko6EMcm/3rG2Q5SEsegTH2u3uoSoQhADAHSrY8+Y1HsY6+/yFwhvcTEEsWAiiAEAeuSbN9ZdGPMNW3Y3fEmvWHRxcLPvoKI1AQC96i6M9bX3izAW+Rx2ejyDiSAGAPBLV2HMX20XeiWMRbYYO9EhmGhNAIDfghXGELkcBLGgojUBAH0SjDBGr1jkYo5YcNGaAIA+axvGAglkEmEsUtltzBELJoIYACAgXa3Cj+hn44bfQUUQAwAErL9hjF6xyGOjRyyoCGIAgH4hjA0u9IgFF0EMANBvhLHBgw6x4CKIAQCCgjA2ONAjFlwEMQBA0HQMY0zijz4GySGoaE4AQFC1DWPSkUDmTzCjVyz8GaJHLJgIYgCAoOsYxhBFyGFBRRADAAyIQMMYvWLhjSliwUUQAwAMGMJY9CGHBRdBDAAwoAhj0YYoFkwEMQDAgCOMAV0jiAEAQoIJ/EBnBDEAQMgQxoD2CGIAgJDqaxhjeBLRjCAGAAg5esYAL4IYAMASfQlj9IohWhHEAACWyZ+UTu8YBjWCGADAcv4EMnrFEI0IYgCAsNFTGKPnDNHIYXUBAAC0ReDCYEKPGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFgkaoLYrbfeqhtvvLHT9sLCQp1//vmaOXOmTjvtNL3yyisWVAcAANBZxAcxj8eje++9V88++2ynfTt37tRVV12lxYsXa9WqVVq2bJmuv/56FRYWWlApAABAew6rC+iPnTt36uabb9aePXs0YsSITvsfe+wx5eXl6ZprrpEkTZw4UVu2bNGKFSu0cOHCUJcLAADQTkT3iK1Zs0YTJ07Uyy+/rFGjRnXaX1RU1ClwLViwQBs2bJBpmqEqEwAAoEsR3SP2ve99r8f9JSUlysnJabdt2LBhamxsVGVlpTIzMwN+brs9ojNsyPnai3brO9oucLRd4Gi7wEV729nthhyO6HxtVgjbILZ//36ddNJJ3e4vLCzsNUg1NTUpNja23Tbf106ns1/1paYm9OvxgxXtFjjaLnC0XeBou8BFa9slJ8crIyPJ6jKiRtgGsezsbL366qvd7k9LS+v1HHFxcZ0Cl+/rhIT+fUBqahrldnv6dY7BxG63KTU1gXYLAG0XONoucLRd4MK97fobourqmmSrrA9SNdHL33YO2yAWExOjiRMn9uscw4cPV2lpabttpaWlSkxMVEpKSr/O7XZ75HKF3wcs3NFugaPtAkfbBY62C1y0tp3bbUbl67JKVA/yzp07V+vWrWu3bc2aNZo9e7Zstqh+6QAAIAJEdRq55JJLtHnzZi1fvlw7d+7UI488otdff11XXHGF1aUBAABEdxA76qij9MADD+i9997Tueeeq3/+85+6++67WUMMAACEhbCdI9ZXTzzxRJfblyxZoiVLloS4GgAAgN5FdY8YAABAOCOIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGAABgEYIYAACARQhiAAAAFon4IHbgwAFde+21WrRokQoKCvTDH/5QO3bsaHfMa6+9pjPOOEMzZszQueeeq8LCQouqBQAAOCKig5jT6dSVV16psrIyPfjgg3r66aeVlJSk73//+6qoqJAkrVmzRtddd52++93v6oUXXtDChQt15ZVXaufOnRZXDwAABruIDmJFRUXavn27li9frunTp+uoo47S3XffrYaGBr3zzjuSpL/97W86+eSTdemll2rixIm64YYbNG3aND322GMWVw8AAAa7iA5iRx11lB566CFlZ2e3brPZvC+ppqZGHo9Hn3zyiRYuXNjucfPnz9f69etDWisAAEBHDqsL6I+hQ4fquOOOa7ftiSeeUFNTkxYtWqSamho1NDQoJyen3THDhg1TSUlJv547LS1BptmvUwwqhuH9m3brO9oucLRd4Gi7wEV729nthhyOiO7HCSthHcT279+vk046qdv9hYWFyszMbP169erVuueee3TZZZcpLy+vNWzFxsa2e1xcXJyam5v7VZuv5w19Q7sFjrYLHG0XONoucNHYdvE52Rqbk937gfBbWAex7Oxsvfrqq93uT0tLa/33P/7xD91xxx06++yzdf3110vyBi7JO6m/rebmZiUkJAxAxQAAAP4L6yAWExOjiRMn9nrc3XffrRUrVujyyy/XDTfcIONwv3B6eroSExNVWlra7vjS0tJ288oAAACsEPH9pr4QdsMNN+jGG29sDWGSZBiGZs+erXXr1rV7zNq1azV37txQlwoAANBOWPeI9Wbt2rVasWKFLrnkEp111lkqKytr3ZeYmKikpCRdfvnluvLKKzV16lQtWbJEK1eu1NatW3XnnXdaWDkAAIBkmGbkXtNxyy236Lnnnuty309/+lP97Gc/kyS9+OKLeuCBB1RSUqJJkybpuuuu67SkBQAAQKhFdBADAACIZBE/RwwAACBSEcQAAAAsQhADAACwCEEMAADAIgQxAAAAixDEAAAALEIQAwAAsAhBzE/19fX67W9/q2OPPVZz587Vj370I+3cubPdMYWFhTr//PM1c+ZMnXbaaXrllVcsqja8PPzwwzrppJM0Y8YMnX/++VqzZk27/Vu3btXFF1+s/Px8nXjiiXr88cctqjR8FRUVacqUKVq7dm277bznunbgwAFde+21WrRokQoKCvTDH/5QO3bsaHfMa6+9pjPOOEMzZszQueeeq8LCQouqDS8ej0d//vOftXjxYuXn5+tHP/qR9u3bZ3VZYamqqkq33nqrlixZotmzZ+uiiy5SUVFR634+n/CLCb/ccMMN5umnn25u2LDBLC4uNq+66irz+OOPN5uamkzTNM3i4mJz+vTp5r333msWFxebK1asMKdOnWp+/PHHFldurb/85S9mfn6++corr5i7du0yf/vb35r5+fnm3r17TdM0zYqKCnP+/PnmTTfdZBYXF5vPP/+8OX36dPP555+3uPLwUVNTY55wwglmbm6uuWbNmtbtvOe61tzcbJ555pnmxRdfbG7evNncvn27+bOf/cxcuHChWV5ebpqmaRYWFprTpk0zH3vsMbO4uNi86667zKOPPtosLi62uHrr/d///Z85f/5889133zW3bt1q/uAHPzCXLl1qNjc3W11a2Ln88svNM88801y/fr351Vdfmb/97W/NGTNmmDt37uTzCb8RxPw0Z84c8/HHH2/9euvWrWZubq75+eefm6Zpmrfccov57W9/u91jrr32WvMHP/hBSOsMJ/X19WZ+fr755JNPtm5zuVzmWWedZb7wwgumaZrmgw8+aB577LFmS0tL6zH33HOPuXTp0lCXG7auvfZa89JLL+0UxHjPde2jjz4yc3NzzZKSktZtTU1N5syZM81//vOfpmma5g9+8APzF7/4RbvHXXjhheYtt9wSylLDTnNzszlr1izzqaeeat1WXV1tzpgxw3zppZcsrCz87N6928zNzTWLiopat3k8HvPkk082//SnP/H5hN8YmvRTVlaWXn31VZWXl8vpdOr5559Xenq6xowZI8k7dNTx/pULFizQhg0bZA7Su0ht2LBBjY2N+ta3vtW6zW6369///rfOPfdcSd52mzdvnhyOI/efX7BggXbv3q1Dhw6FuuSw869//UsbN27Ur371q077eM917aijjtJDDz2k7Ozs1m02m/dHXU1NjTwejz755JNObTd//nytX78+pLWGm23btqm+vr5d26Smpmrq1KmDvm06ysjI0EMPPaTp06e3bjMMQ4ZhqKamhs8n/EYQ89Odd96pgwcP6phjjlF+fr5efPFF/e1vf1NKSookqaSkRDk5Oe0eM2zYMDU2NqqystKKki23a9cupaWl6csvv9RFF12khQsX6pJLLtEnn3zSekx37SZ55/kMZvv379edd96pP/7xj0pKSuq0n/dc14YOHarjjjuu3bYnnnhCTU1NWrRokWpqatTQ0NBl25WUlISy1LDje/3Dhw9vt5226Sw1NVXHHXecYmNjW7e98cYb2rNnjxYvXsznE35z9H5I9Nu/f79OOumkbvcXFhbqyy+/1OjRo/W73/1OiYmJ+tvf/qaf/vSnevbZZzV8+HA1NTW1+0BKav3a6XQOaP1W6a3dfvGLX6ipqUm33nqr/ud//kcjRozQs88+q+9///t68cUXNXHixC7bLS4uTpLU3Nw8oPVbqbe2++ijj3Tdddfpwgsv1Ny5c7V///5OxwzG95zk3+c1MzOz9evVq1frnnvu0WWXXaa8vLzWQNHV+y6a33P+aGxslNR121RXV1tRUsT45JNPdNNNN2np0qU6/vjjB+3nE31HEJOUnZ2tV199tdv9u3bt0h133KF33nlHI0aMkCT96U9/0umnn65HHnlEN998s+Li4jp9uHxfJyQkDFzxFuqt3d5++201NTXpV7/6VWsPxbRp07Rx40Y9+eST+s1vfqP4+PhO7eb7n2FiYuLAFW+x3trumWeeUWNjo372s591e8xgfM9JvbddWlpa67//8Y9/6I477tDZZ5+t66+/XtKRoN/V+y6a280f8fHxkrxt4/u3RNv05q233tIvf/lLzZ49W8uXL5c0eD+f6DuCmKSYmBhNnDix2/0PP/ywsrKyWkOY7zFTp07Vnj17JHm78ktLS9s9rrS0VImJia3Dl9Gmt3b74osvJEl5eXmt2wzD0MSJE1t7eHJycrpsN0nt5vhEm97abtWqVSotLdX8+fMlqXVOyY9+9COde+65uv322wfle07qve187r77bq1YsUKXX365brjhBhmGIUlKT09XYmJil20Xze85f/iGJEtLS1vnv/q+bvs5xhFPPvmk7rzzTp122mn6wx/+0NrrNVg/n+g75oj5IScnR5WVle0+VB6PR8XFxRo3bpwkae7cuVq3bl27x61Zs0azZ89unSg82MydO1eGYWjTpk2t20zTVHFxscaOHStJKigo0IYNG+R2u1uPWbNmjcaPH6+srKxQlxw2nnjiCb3yyit68cUX9eKLL+qhhx6SJP3ud7/TL37xC0m853riC2E33HCDbrzxxtYQJnl/GZg9e3antlu7dq3mzp0b6lLDyuTJk5WcnNxuvbqamhpt2bJFBQUFFlYWnp5++mndcccd+t73vqd777233VAkn0/4zdJrNiNEfX29uXTpUvPCCy80N23aZBYXF5u/+tWvzPz8fHPfvn2maZrm9u3bzWnTppl33323WVxcbD788MOsGWOa5q9+9Stz0aJF5n/+859O6+yYpmkeOnTILCgoMG+44QZzx44d5sqVK83p06ebq1atsrjy8LJv375Oy1fwnuvamjVrzNzcXPOOO+4wS0tL2/2pq6szTdM0P/jgA3PKlCnmI488YhYXF5t/+MMfzBkzZrCOmGma9957rzlv3jzzrbfeareOmNPptLq0sPLVV1+Z06ZNM6+++upO77Oamho+n/CbYZpcR+uPgwcP6o9//KPWrl2r5uZmTZ8+Xddff70mT57cesz777+vu+++W7t379aoUaP0s5/9TGeccYaFVVuvpaVF999/v1atWqXq6mpNnTpV1113nebMmdN6zObNm3XnnXdqy5YtGjp0qH7wgx/o4osvtrDq8OOboP7444+3DldKvOe6csstt+i5557rct9Pf/rT1nl3L774oh544AGVlJRo0qRJuu666zotNzAYud1u3XvvvVq1apWamppUUFCgW2+9VaNGjbK6tLDy4IMP6r777uty33nnnae77rqLzyf8QhADAACwCAPVAAAAFiGIAQAAWIQgBgAAYBGCGAAAgEUIYgAAABYhiAEAAFiEIAYAAGARghgAAIBFCGIAAAAWIYgBAABYhCAGwDKmaeqRRx7R0qVLdfTRR2vx4sX63//9X3HnNQCDBUEMgGX++Mc/6o9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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# zooming specific area and marking MLE solution:\n", "sns.set(rc={\"figure.figsize\":(6, 4), \"font.size\":14})\n", "\n", "ax = sns.jointplot(x = ps[:,0], y = ps[:,1], kind ='kde', fill=True)\n", "ax.set_axis_labels(xlabel= f\"$\\\\beta_0$\", ylabel=f\"$\\\\beta_1$\")\n", "\n", "x = np.linspace(-25,10,100)\n", "ax.ax_marg_x.plot(x, gauss(x, logitParams[0], covLogit[0][0]), \"r\" )\n", "\n", "y = np.linspace(-20,40,100)\n", "ax.ax_marg_y.plot(gauss(y, logitParams[1], covLogit[1][1]), y, \"r\" )\n", "\n", "plt.text(0.04, 0.9, \"(b)\", fontsize = 16, \n", " horizontalalignment = 'center', \n", " verticalalignment = 'center', \n", " transform = ax.figure.transFigure)\n", "plt.plot([p0[0]], [p0[1]], marker=\"o\", \n", " markersize = 10, \n", " markeredgecolor = \"red\",\n", " markerfacecolor = \"red\")\n", "\n", "plt.xlim(-80,30)\n", "plt.ylim(-20,40)\n", "plt.savefig(os.path.join(figsdir, \"logit_boots_zoom\" + figsext), bbox_inches='tight')\n", "plt.show()\n", "sns.reset_orig()" ] }, { "cell_type": "code", "execution_count": 23, "id": "4c2f7492-6caa-4f05-8a2f-a5a1eac28d30", "metadata": { "id": "4c2f7492-6caa-4f05-8a2f-a5a1eac28d30", "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exact: opt(p)= [-11.68319035 5.68708926]\n", "exact: covlogit= [[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "mean(p)= [-31.45398028 17.4033474 ]\n", "cov(p)= [[ 1728.61003364 -1069.08739753]\n", " [-1069.08739753 664.52762393]]\n" ] } ], "source": [ "# calculate empirical average and variance-covariance matrix\n", "pmean = np.mean(ps, axis=0)\n", "dp = ps - pmean\n", "pcov = np.dot(dp.T, dp)/(len(dp)-1)\n", "\n", "print(\"exact: opt(p)=\", p0)\n", "print(\"exact: covlogit=\",covLogit)\n", "\n", "print(\"mean(p)=\", pmean)\n", "print(\"cov(p)=\", pcov)\n", "\n", "# Conclusion: due to multiple peaks the empirical values are very far from MLE" ] }, { "cell_type": "code", "execution_count": 24, "id": "9bd0c944-1793-42f5-8a78-8a38e339e8f4", "metadata": { "id": "9bd0c944-1793-42f5-8a78-8a38e339e8f4", "tags": [] }, "outputs": [], "source": [ "# Install:\n", "#!pip install pingouin\n", "#\n", "# Ref:\n", "# * https://www.statology.org/multivariate-normality-test-python/\n", "# * https://pingouin-stats.org/build/html/generated/pingouin.multivariate_normality.html\n", "# https://www.sfu.ca/sasdoc/sashtml/ets/chap14/sect38.htm\n", "\n", "from pingouin import multivariate_normality" ] }, { "cell_type": "code", "execution_count": 25, "id": "5160ac22-29e7-4c06-8b60-1214231fbc43", "metadata": { "id": "5160ac22-29e7-4c06-8b60-1214231fbc43", "tags": [] }, "outputs": [], "source": [ "# testing multivariate_normality\n", "want_to_test = False\n", "\n", "if want_to_test:\n", " # test cases\n", " test1 = multivariate_normality(rng.multivariate_normal([1,2],[[2,0.5],[0.5,1]], size = 1000), alpha=.05)\n", "\n", " data = rng.multivariate_normal([3,5],[[1,0.5],[0.5,1]], size = 1000)\n", " test2 = multivariate_normality(np.log(np.abs(data)), alpha=.05)\n", "\n", " print(test1)\n", " print(test2)\n", "\n", "if want_to_test:\n", " # testing our paramaters\n", " our_case = multivariate_normality(ps, alpha=.05)\n", " print(our_case)" ] }, { "cell_type": "markdown", "id": "98ad2d95-d89b-4f18-a2f7-c7fc17473135", "metadata": { "id": "98ad2d95-d89b-4f18-a2f7-c7fc17473135" }, "source": [ "Conclusion: Statistically looking, the distribution of parameters is far from multivariate Gaussian for these sizes of samples, but is captures essential properties." ] }, { "cell_type": "markdown", "id": "e065c5d1-7dd5-4098-a095-5a283a8d408c", "metadata": { "id": "e065c5d1-7dd5-4098-a095-5a283a8d408c" }, "source": [ "## Final results" ] }, { "cell_type": "code", "execution_count": 26, "id": "8305144d", "metadata": { "id": "8305144d", "tags": [] }, "outputs": [], "source": [ "def gen_plots(pert, organ, prefix, alpha, title = \"\", \n", " bootstrapping = \"nonparam\", Nsamples = 10**4, \n", " xvert = None):\n", "\n", " suv = suv_dict[organ + '_SUVperc_COMBINED'][0:58,:,:]\n", "\n", " if organ == \"lung\":\n", " idx = 3\n", " elif organ == \"bowel\":\n", " idx = 1\n", " elif organ == \"thyroid\":\n", " idx = 5\n", " else:\n", " print(\"This organ is not supported\")\n", " return\n", " \n", " flags = flags_dict['flags'][0:58, idx]\n", "\n", " # choose percentile of interest (for lung and bowel 95, for thyroid 75),\n", " # numerating here is from 0 so take the one less\n", " X = np.nanmax(suv[:, :, pert - 1], axis=1).reshape(-1,1)\n", "\n", " # fitting\n", " penalty = 'none' if choice_setup == 0 else None\n", " clf = linear_model.LogisticRegression(penalty=penalty).fit(X, flags)\n", "\n", " # Store fitted parameters in array\n", " logitParams = np.insert(clf.coef_, 0, clf.intercept_)\n", "\n", " #print params\n", " print(\"popt:\", logitParams)\n", "\n", " # logit function\n", " f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\n", "\n", " if bootstrapping == \"nonparam\": # non-param boostrapping \n", " # obtaining parameters via bootstrapping method\n", " rng = np.random.default_rng()\n", "\n", " # generate parameters: make a sample by sampling with replacement and fit it\n", " def gen_pars():\n", " idx = rng.integers(len(X), size=len(X))\n", " st = (flags[idx] == 0)\n", " \n", " # a bit constraint sampling with replacement: two groups need to be represented samples\n", " while st.all() or (~st).all():\n", " idx = rng.integers(len(X), size=len(X))\n", " st = (flags[idx] == 0)\n", "\n", " tmp = linear_model.LogisticRegression(penalty = penalty).fit(X[idx], flags[idx])\n", "\n", " return np.insert(tmp.coef_, 0, tmp.intercept_)\n", "\n", " ps = np.array([gen_pars() for _ in range(Nsamples)])\n", "\n", " elif bootstrapping == \"param\" : # param boostrapping \n", " # Calculate matrix of predicted class probabilities.\n", " predProbs = clf.predict_proba(X) #has two col. p, (1-p)\n", "\n", " # Design matrix -- add column of 1's at the beginning of your X_train matrix\n", " X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", " # Initiate matrix of 0's, fill diagonal with each predicted observation's variance\n", " V = np.diagflat(np.prod(predProbs, axis=1)) #dig.matrix where each element is p*(1-p)\n", "\n", " # Covariance matrix C_params = (X^T V X)^-1, params = (b0,b1)\n", " covLogit = np.linalg.inv(np.dot(np.dot(X_design.T, V), X_design))\n", "\n", " #generate parameters and points in x axis\n", " ps = np.random.multivariate_normal(logitParams, covLogit, Nsamples)\n", " else:\n", " print(\"This boostrapping is not supported\")\n", " return\n", " \n", " # get for plotting purpose meaningful xmax\n", " # f = 1- eps, np.exp(-p[0] - p[1]*x) ~ eps => -log(eps) = p[0] + p[1]*x\n", " xmax = max(X.max(), (-np.log(1e-3)-logitParams[0])/logitParams[1])\n", "\n", " xs = np.linspace(0, xmax, 200)\n", "\n", " # generate values in y axis\n", " yopts = f(xs, logitParams)\n", " ys = np.array([np.fromiter(map(lambda p: f(x,p), ps),float) for x in xs])\n", "\n", " # calculate median and quantiles\n", " mys = np.median(ys, axis=1)\n", " yerr_min = np.quantile(ys, alpha/2, axis=1)\n", " yerr_max = np.quantile(ys, 1-alpha/2, axis=1)\n", "\n", " # generate plots\n", "\n", " fs = 16\n", " params = {'font.size': fs, 'axes.labelsize': fs,'axes.titlesize':fs, \n", " 'legend.fontsize': fs, 'xtick.labelsize': fs, 'ytick.labelsize': fs}\n", " plt.rcParams.update(params)\n", "\n", " fig, ax = plt.subplots(figsize = (7, 5))\n", "\n", " plt.xlabel(f\"$x = \\\\mathrm{{max}}(SUV(visit,p = {{{pert}}} \\\\%))$\")\n", " plt.ylabel(r\"$P(Y = AE|X = x)$\")\n", " \n", " ax.set_xlabel(f\"$x = \\\\mathrm{{max}}(SUV(visit,p = {{{pert}}} \\\\%))$\")\n", " ax.set_ylabel(f\"$P(Y = AE|X = x)$\")\n", "\n", " ax.scatter(X[flags==0], flags[flags==0], label=\"NC\",zorder=2.5)\n", " ax.scatter(X[flags==1], flags[flags==1], label=\"AE\",zorder=2.5)\n", "\n", " ax.plot(xs, yopts, label=\"optimal\", color=\"red\",zorder=3)\n", " ax.plot(xs, mys, label=\"median\", color=\"green\",zorder=3)\n", "\n", " #plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"confidence band\")\n", " ax.fill_between(xs, yerr_min, yerr_max, color='xkcd:beige', alpha=0.7, label=\"confidence interval\")\n", "\n", " if title != \"\": ax.set_title(title+\":\" + organ)\n", " if xvert is not None: \n", " ax.axvline(x = xvert, linestyle = \"--\", color = \"k\", alpha = 0.7, label=\"example\")\n", " \n", " I = lambda v: scipy.interpolate.interp1d(xs, v)(xvert) \n", " display(pd.DataFrame({\"type\": [\"optimal\", \"median\", \"LCL\", \"UCL\"], \n", " f\"value@{xvert}\": [I(yopts), I(mys), I(yerr_min), I(yerr_max)]}))\n", "\n", " ax.text(0.1, 0.93, \"(\" + organ + \")\", fontsize = 16, \n", " horizontalalignment = 'center', verticalalignment = 'center', \n", " transform = fig.transFigure)\n", "\n", " ax.legend(loc = 'center right', fancybox=True, fontsize='10', framealpha=0.5)\n", " \n", " plt.tight_layout()\n", " \n", " basename = f\"{prefix}_{organ}{figsext}\"\n", " plt.savefig(os.path.join(figsdir, basename))\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "eb7dda9a-2deb-44ac-823d-66773165be59", "metadata": { "id": "eb7dda9a-2deb-44ac-823d-66773165be59" }, "source": [ "### Parametric boostrapping : MVN approx of params (! primary choice)" ] }, { "cell_type": "code", "execution_count": 27, "id": "593f4397-ea4b-44b4-8249-0502f8681ce7", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "code", "execution_count": 28, "id": "3b3a0f89-bad4-4a39-81b9-1b9ac8ca3f75", "metadata": { "id": "3b3a0f89-bad4-4a39-81b9-1b9ac8ca3f75", "scrolled": true, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt: [-11.68319035 5.68708926]\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " type value@2\n", "0 optimal 0.4233901220524278\n", "1 median 0.42470951308011934\n", "2 LCL 0.11738712465726915\n", "3 UCL 0.8032612583732215" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 12.8 s, sys: 2.21 s, total: 15 s\n", "Wall time: 12.4 s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"lung\", \"logit_mvn\", alpha, bootstrapping=\"param\", xvert=2)\n", "gen_plots(95, \"bowel\", \"logit_mvn\", alpha, bootstrapping=\"param\")\n", "gen_plots(75, \"thyroid\", \"logit_mvn\", alpha, bootstrapping=\"param\")" ] }, { "cell_type": "markdown", "id": "b1e9c470-9a7d-4490-9912-be9d24a31bab", "metadata": { "id": "b1e9c470-9a7d-4490-9912-be9d24a31bab" }, "source": [ "### Non-parametric bootstrapping: sampling with replacement" ] }, { "cell_type": "code", "execution_count": 29, "id": "1ceb9959-7d52-4821-a07f-22cbaafc019a", "metadata": {}, "outputs": [], "source": [ "alpha = 0.05" ] }, { "cell_type": "code", "execution_count": 30, "id": "2c461077-18cd-4200-88fb-f10976449eb6", "metadata": { "id": "2c461077-18cd-4200-88fb-f10976449eb6" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt: [-11.68319035 5.68708926]\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt: [-4.3866421 1.16301187]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_199323/3990547804.py:34: RuntimeWarning: overflow encountered in exp\n", " f = lambda x, p: 1/(1 + np.exp(-p[0] - p[1]*x))\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1min 25s, sys: 1.95 s, total: 1min 27s\n", "Wall time: 1min 25s\n" ] } ], "source": [ "%%time\n", "gen_plots(95, \"lung\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(95, \"bowel\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")\n", "gen_plots(75, \"thyroid\", \"logit_bs\", alpha, bootstrapping = \"nonparam\")" ] }, { "cell_type": "code", "execution_count": null, "id": "20503b2a-51c4-4ad1-8cff-d222d734e198", "metadata": { "id": "20503b2a-51c4-4ad1-8cff-d222d734e198" }, "outputs": [], "source": [] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }