{ "cells": [ { "cell_type": "markdown", "id": "be915d56-9a8a-422b-9da4-d7ca37dd0b85", "metadata": {}, "source": [ "# Bayesian modelling using normal distributions with uncertainties" ] }, { "cell_type": "markdown", "id": "6fa3ccb1-05c0-4ab9-a74a-a4e20d1e38f8", "metadata": {}, "source": [ "## Data & common" ] }, { "cell_type": "code", "execution_count": 2, "id": "0de55416", "metadata": { "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy\n", "from scipy import io\n", "from scipy import stats\n", "from scipy.optimize import minimize\n", "import os" ] }, { "cell_type": "code", "execution_count": 3, "id": "71b466ba", "metadata": { "tags": [] }, "outputs": [], "source": [ "#data_path = \"/home/marija/maki/\"\n", "data_path = \"../data/\"\n", "suv_filename = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_filename= data_path + \"flags_combined.mat\"\n", "normal_range_filename = data_path + \"normal_range.mat\"" ] }, { "cell_type": "code", "execution_count": 4, "id": "c72c613c", "metadata": { "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": "8c4a5c84-c72a-4b48-a92c-7e25f5b752fc", "metadata": {}, "source": [ "## Final results" ] }, { "cell_type": "code", "execution_count": 12, "id": "eeeaa8fe", "metadata": { "tags": [] }, "outputs": [], "source": [ "def myfitter(data, fun, cov = True):\n", "\n", " nllf = lambda p: -fun(data, *p).sum()\n", "\n", " p0 = (1, 0.6)\n", " bounds= ((0, 10), (0.1, 4))\n", " res = minimize(nllf, p0, bounds = bounds, method=\"L-BFGS-B\")\n", " \n", " if not cov: return res.x\n", " \n", " return res.x, res.hess_inv.todense()" ] }, { "cell_type": "code", "execution_count": 13, "id": "8262d64c", "metadata": { "tags": [] }, "outputs": [], "source": [ "figsdir = \"./figs/\"\n", "\n", "def gen_plots(pert, organ, dist, prefix, alpha, title, bootstrapping = False):\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", " \n", " if dist == \"trunc_Gauss\":\n", " # create a custom function (\"truncated\" Gaussian distribution)\n", " fun = lambda x, mu, sigma: -(x-mu)**2/(2*sigma**2) + np.log(2/np.pi)/2 - np.log(sigma*(1 + scipy.special.erf(mu/(np.sqrt(2)*sigma))))\n", " g = lambda x, mu, sigma: np.exp(-(x-mu)**2/(2*sigma**2))*np.sqrt(2/np.pi)/(sigma*(1 + scipy.special.erf(mu/(np.sqrt(2)*sigma))))\n", " elif dist == \"Gauss\":\n", " fun = lambda x, mu, sigma: -(x-mu)**2/(2*sigma**2) - np.log(sigma*np.sqrt(2*np.pi))\n", " g = lambda x, mu, sigma: np.exp(-(x-mu)**2/(2*sigma**2))/(sigma*np.sqrt(2*np.pi))\n", " elif dist == \"log_normal\":\n", " fun = lambda x, mu, sigma: -(np.log(x) - mu)**2/(2*sigma**2) - np.log(x*sigma*np.sqrt(2*np.pi))\n", " g = lambda x, mu, sigma: np.exp(-(np.log(x)-mu)**2/(2*sigma**2))/(x*sigma*np.sqrt(2*np.pi))\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", " # extracting X associated to NC and AE\n", " X_NC = X[flags == 0]\n", " X_AE = X[flags == 1]\n", " #and flags associated to NC and AE\n", " flags_NC = flags[flags==0]\n", " flags_AE = flags[flags==1]\n", " \n", " popt_NC, pcov_NC = myfitter(X_NC, fun)\n", " popt_AE, pcov_AE = myfitter(X_AE, fun)\n", " \n", " # print optimization results\n", " print(\"popt_NC:\", popt_NC)\n", " print(\"popt_AE:\", popt_AE)\n", " \n", " print(\"pcov_NC:\", pcov_NC)\n", " print(\"pcov_AE:\", pcov_AE)\n", " \n", " popt = np.concatenate((popt_NC, popt_AE))\n", "\n", " Nsamples = 10**3\n", " \n", " if bootstrapping:\n", " # obtaining parameters via bootstrapping method\n", " rng = np.random.default_rng()\n", " \n", " # helper function to sample with replacement of same size sample\n", " R = lambda X: X[rng.integers(len(X), size=len(X))]\n", "\n", " ps = np.array([np.concatenate((myfitter(R(X_NC), fun, False), myfitter(R(X_AE), fun, False))) for _ in range(Nsamples)])\n", " else: \n", " # approximationg parameters with multivatiate distribution\n", " Z = np.zeros((len(popt_NC), len(popt_AE)))\n", " CovMatrix = np.bmat([[pcov_NC, Z], [Z, pcov_AE]])\n", "\n", " #generate parameters and points in x axis\n", " ps = np.random.multivariate_normal(popt, CovMatrix, Nsamples)\n", " \n", " # correct for outliers\n", " mask = (ps[:,1]>0) & (ps[:,3]>0)\n", " ps = ps[mask]\n", "\n", " print(\"faulty:\", np.count_nonzero(~mask)/len(mask))\n", "\n", " # probability for NC and AE \n", " P_NC = np.count_nonzero(flags == 0)/len(flags) # Prob(Y = NC)\n", " P_AE = np.count_nonzero(flags == 1)/len(flags) # Prob(Y = AE)\n", " \n", " #firstly for optimal parameter values\n", " f_XatNC_opt = lambda x: g(x, popt_NC[0], popt_NC[1]) # f(x | NC)\n", " f_XatAE_opt = lambda x: g(x, popt_AE[0], popt_AE[1]) # f(x | AE)\n", " \n", " # probability density for X\n", " f_X_opt = lambda x: P_NC*f_XatNC_opt(x) + P_AE*f_XatAE_opt(x)\n", "\n", " # conditional probability for AE at X\n", " P_AEatX_opt = lambda x: P_AE*f_XatAE_opt(x)/f_X_opt(x)\n", "\n", " # conditional probability for AE at X for generated parameters\n", " P_AEatX = lambda x, p: P_AE*g(x, p[2], p[3])/(P_NC*g(x, p[0], p[1]) + P_AE*g(x, p[2], p[3]))\n", " \n", " #generate parameters and points in x axis\n", " xs = np.linspace(1e-3, X.max()+1, 200)\n", "\n", " # generate values in y axis\n", " ys = np.array([np.fromiter(map(lambda p: P_AEatX(x, p), ps),float) for x in xs])\n", " yopts = P_AEatX_opt(xs)\n", " \n", " # doing statistics on values\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", " #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 model\",color=\"red\")\n", " #plt.errorbar(xs, mys, yerr = [mys-yerr_min, yerr_max-mys], label=\"direct variance\",fmt=' ')\n", " #plt.xlim([0,3])\n", " #plt.legend()\n", " \n", " # generate plots\n", " plt.clf()\n", " plt.xlabel(r\"$x = max_{visit} SUV(visit, p)$\")\n", " plt.ylabel(\"P(AE|X=x)\")\n", " \n", " plt.scatter(X_NC, flags_NC, label=\"NC\") \n", " plt.scatter(X_AE, flags_AE, label=\"AE\")\n", " \n", " plt.plot(xs, yopts, label=\"fit model\",color=\"red\")\n", " plt.plot(xs, mys, label=\"median\",color=\"blue\")\n", " plt.fill_between(xs, yerr_min, yerr_max, alpha=0.5, label=\"prediction interval\")\n", "\n", " plt.title(title+\":\" + organ)\n", " plt.legend(loc = 'center right')\n", " plt.tight_layout()\n", " \n", " if not os.path.exists(figsdir): os.makedirs(figsdir)\n", "\n", " plt.savefig(figsdir + prefix + \"_\"+ dist + \"_\" + organ + \".pdf\")\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "a974ab00-e992-4de8-8a9f-431264fe376a", "metadata": {}, "source": [ "### Multivaiate normal approx of parameter pdf == \"parametric BS\"" ] }, { "cell_type": "code", "execution_count": 14, "id": "50f56580", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.30761035 0.25845691]\n", "popt_AE: [2.44364741 0.88137533]\n", "pcov_NC: [[1.25913825e-03 5.06705885e-06]\n", " [5.06705885e-06 6.06774810e-04]]\n", "pcov_AE: [[ 0.17534308 -0.003193 ]\n", " [-0.003193 0.08975444]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.30761056 0.25845619]\n", "popt_AE: [2.45119943 0.8708103 ]\n", "pcov_NC: [[1.18087018e-03 1.19806173e-06]\n", " [1.19806173e-06 6.30252819e-04]]\n", "pcov_AE: [[0.16908412 0.03501477]\n", " [0.03501477 0.07755902]]\n", "faulty: 0.002\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [0.25012563 0.18862822]\n", "popt_AE: [0.84495162 0.3054373 ]\n", "pcov_NC: [[ 6.83750245e-04 -8.23179537e-06]\n", " [-8.23179537e-06 3.41031588e-04]]\n", "pcov_AE: [[0.02184912 0.00118759]\n", " [0.00118759 0.00977597]]\n", "faulty: 0.002\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_27868/1449691649.py:89: RuntimeWarning: invalid value encountered in scalar divide\n", " P_AEatX = lambda x, p: P_AE*g(x, p[2], p[3])/(P_NC*g(x, p[0], p[1]) + P_AE*g(x, p[2], p[3]))\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [3.14290066 1.75796851]\n", "popt_AE: [4.76760397 2.25648474]\n", "pcov_NC: [[14.70862832 12.92525704]\n", " [12.92525704 11.49269931]]\n", "pcov_AE: [[ 0.99567237 -0.09317099]\n", " [-0.09317099 0.64015636]]\n", "faulty: 0.311\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": [ "popt_NC: [3.29019865 1.61425315]\n", "popt_AE: [4.86590897 2.14788649]\n", "pcov_NC: [[0.05087085 0.00014864]\n", " [0.00014864 0.02513256]]\n", "pcov_AE: [[ 0.80285003 -0.00968201]\n", " [-0.00968201 0.38917906]]\n", "faulty: 0.0\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": [ "popt_NC: [1.11554265 0.35077766]\n", "popt_AE: [1.49665276 0.40295539]\n", "pcov_NC: [[2.57517154e-03 1.39935384e-05]\n", " [1.39935384e-05 1.18591508e-03]]\n", "pcov_AE: [[2.70791363e-02 8.31548861e-05]\n", " [8.31548861e-05 1.40269527e-02]]\n", "faulty: 0.001\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": [ "popt_NC: [1.88855494 0.90927873]\n", "popt_AE: [3.07854855 0.80312247]\n", "pcov_NC: [[ 0.02367611 -0.00551307]\n", " [-0.00551307 0.01323124]]\n", "pcov_AE: [[0.29051356 0.57028087]\n", " [0.57028087 2.82295922]]\n", "faulty: 0.32\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.93132713 0.86265893]\n", "popt_AE: [3.0787539 0.80272578]\n", "pcov_NC: [[ 0.01472579 -0.00035012]\n", " [-0.00035012 0.00723928]]\n", "pcov_AE: [[7.10424716e-02 7.45174552e-05]\n", " [7.45174552e-05 3.55500847e-02]]\n", "faulty: 0.0\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": [ "popt_NC: [0.59700666 0.32538502]\n", "popt_AE: [1.08690741 0.28239884]\n", "pcov_NC: [[ 3.60331259e-03 -2.12283067e-06]\n", " [-2.12283067e-06 1.08060047e-03]]\n", "pcov_AE: [[ 8.86542388e-03 -7.03060232e-06]\n", " [-7.03060232e-06 4.59559687e-03]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "title = \"Bayesian approach with estimated uncertainties\"\n", "alpha = 0.05\n", "gen_plots(95, \"lung\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(95, \"lung\", \"Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(95, \"lung\", \"log_normal\", \"Bayes_mvn\", alpha, title)\n", "\n", "gen_plots(95, \"bowel\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(95, \"bowel\", \"Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(95, \"bowel\", \"log_normal\", \"Bayes_mvn\", alpha, title)\n", "\n", "gen_plots(75, \"thyroid\", \"trunc_Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(75, \"thyroid\", \"Gauss\", \"Bayes_mvn\", alpha, title)\n", "gen_plots(75, \"thyroid\", \"log_normal\", \"Bayes_mvn\", alpha, title)" ] }, { "cell_type": "markdown", "id": "e1dec924-7c34-4c4e-97a0-d6cdc4acf699", "metadata": {}, "source": [ "### Non-parametric bootstrapping (BS)" ] }, { "cell_type": "code", "execution_count": 15, "id": "079cc43f-19b4-4abc-ad4d-70e098b4e553", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.30761035 0.25845691]\n", "popt_AE: [2.44364741 0.88137533]\n", "pcov_NC: [[1.25913825e-03 5.06705885e-06]\n", " [5.06705885e-06 6.06774810e-04]]\n", "pcov_AE: [[ 0.17534308 -0.003193 ]\n", " [-0.003193 0.08975444]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.30761056 0.25845619]\n", "popt_AE: [2.45119943 0.8708103 ]\n", "pcov_NC: [[1.18087018e-03 1.19806173e-06]\n", " [1.19806173e-06 6.30252819e-04]]\n", "pcov_AE: [[0.16908412 0.03501477]\n", " [0.03501477 0.07755902]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [0.25012563 0.18862822]\n", "popt_AE: [0.84495162 0.3054373 ]\n", "pcov_NC: [[ 6.83750245e-04 -8.23179537e-06]\n", " [-8.23179537e-06 3.41031588e-04]]\n", "pcov_AE: [[0.02184912 0.00118759]\n", " [0.00118759 0.00977597]]\n", "faulty: 0.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_27868/1449691649.py:89: RuntimeWarning: invalid value encountered in scalar divide\n", " P_AEatX = lambda x, p: P_AE*g(x, p[2], p[3])/(P_NC*g(x, p[0], p[1]) + P_AE*g(x, p[2], p[3]))\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha = 0.05\n", "gen_plots(95, \"lung\", \"trunc_Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(95, \"lung\", \"Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(95, \"lung\", \"log_normal\", \"Bayes_bs\", alpha, title, bootstrapping = True)" ] }, { "cell_type": "code", "execution_count": 16, "id": "71521a47-ce8c-4f17-a3d7-dd34df9b4169", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [3.14290066 1.75796851]\n", "popt_AE: [4.76760397 2.25648474]\n", "pcov_NC: [[14.70862832 12.92525704]\n", " [12.92525704 11.49269931]]\n", "pcov_AE: [[ 0.99567237 -0.09317099]\n", " [-0.09317099 0.64015636]]\n", "faulty: 0.0\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": [ "popt_NC: [3.29019865 1.61425315]\n", "popt_AE: [4.86590897 2.14788649]\n", "pcov_NC: [[0.05087085 0.00014864]\n", " [0.00014864 0.02513256]]\n", "pcov_AE: [[ 0.80285003 -0.00968201]\n", " [-0.00968201 0.38917906]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.11554265 0.35077766]\n", "popt_AE: [1.49665276 0.40295539]\n", "pcov_NC: [[2.57517154e-03 1.39935384e-05]\n", " [1.39935384e-05 1.18591508e-03]]\n", "pcov_AE: [[2.70791363e-02 8.31548861e-05]\n", " [8.31548861e-05 1.40269527e-02]]\n", "faulty: 0.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_27868/1449691649.py:89: RuntimeWarning: invalid value encountered in scalar divide\n", " P_AEatX = lambda x, p: P_AE*g(x, p[2], p[3])/(P_NC*g(x, p[0], p[1]) + P_AE*g(x, p[2], p[3]))\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gen_plots(95, \"bowel\", \"trunc_Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(95, \"bowel\", \"Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(95, \"bowel\", \"log_normal\", \"Bayes_bs\", alpha, title, bootstrapping = True)" ] }, { "cell_type": "code", "execution_count": 17, "id": "31d40eb5-0d21-4feb-b21f-5788680cc52b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.88855494 0.90927873]\n", "popt_AE: [3.07854855 0.80312247]\n", "pcov_NC: [[ 0.02367611 -0.00551307]\n", " [-0.00551307 0.01323124]]\n", "pcov_AE: [[0.29051356 0.57028087]\n", " [0.57028087 2.82295922]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [1.93132713 0.86265893]\n", "popt_AE: [3.0787539 0.80272578]\n", "pcov_NC: [[ 0.01472579 -0.00035012]\n", " [-0.00035012 0.00723928]]\n", "pcov_AE: [[7.10424716e-02 7.45174552e-05]\n", " [7.45174552e-05 3.55500847e-02]]\n", "faulty: 0.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "popt_NC: [0.59700666 0.32538502]\n", "popt_AE: [1.08690741 0.28239884]\n", "pcov_NC: [[ 3.60331259e-03 -2.12283067e-06]\n", " [-2.12283067e-06 1.08060047e-03]]\n", "pcov_AE: [[ 8.86542388e-03 -7.03060232e-06]\n", " [-7.03060232e-06 4.59559687e-03]]\n", "faulty: 0.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_27868/1449691649.py:89: RuntimeWarning: invalid value encountered in scalar divide\n", " P_AEatX = lambda x, p: P_AE*g(x, p[2], p[3])/(P_NC*g(x, p[0], p[1]) + P_AE*g(x, p[2], p[3]))\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gen_plots(75, \"thyroid\", \"trunc_Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(75, \"thyroid\", \"Gauss\", \"Bayes_bs\", alpha, title, bootstrapping = True)\n", "gen_plots(75, \"thyroid\", \"log_normal\", \"Bayes_bs\", alpha, title, bootstrapping = True)" ] }, { "cell_type": "code", "execution_count": null, "id": "dedc1382-7e16-4e15-9986-a8c345672221", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }