From 330c0a3a4ac6b8d04a1c64f73b697e21eb0eda0b Mon Sep 17 00:00:00 2001 From: Mirko Birbaumer <mirko.birbaumer@hslu.ch> Date: Wed, 2 Oct 2024 13:19:35 +0000 Subject: [PATCH] renamed notebooks --- .../{pymc3_beta.ipynb => MCMC_4_1_1.ipynb} | 0 notebooks/MCMC/MCMC_4_1_2.ipynb | 231 ++++++ ...bad_good_chains.ipynb => MCMC_4_1_3.ipynb} | 0 notebooks/MCMC/MCMC_4_2.ipynb | 138 ++++ notebooks/MCMC/Untitled.ipynb | 112 --- notebooks/MCMC/pymc3_beta_compare.ipynb | 138 ---- notebooks/MCMC/pymc3_beta_demo.ipynb | 231 ------ notebooks/MCMC/pymc3_sd_large.html | 725 ------------------ 8 files changed, 369 insertions(+), 1206 deletions(-) rename notebooks/MCMC/{pymc3_beta.ipynb => MCMC_4_1_1.ipynb} (100%) create mode 100644 notebooks/MCMC/MCMC_4_1_2.ipynb rename notebooks/MCMC/{bad_good_chains.ipynb => MCMC_4_1_3.ipynb} (100%) create mode 100644 notebooks/MCMC/MCMC_4_2.ipynb delete mode 100644 notebooks/MCMC/Untitled.ipynb delete mode 100644 notebooks/MCMC/pymc3_beta_compare.ipynb delete mode 100644 notebooks/MCMC/pymc3_beta_demo.ipynb delete mode 100644 notebooks/MCMC/pymc3_sd_large.html diff --git a/notebooks/MCMC/pymc3_beta.ipynb b/notebooks/MCMC/MCMC_4_1_1.ipynb similarity index 100% rename from notebooks/MCMC/pymc3_beta.ipynb rename to notebooks/MCMC/MCMC_4_1_1.ipynb diff --git a/notebooks/MCMC/MCMC_4_1_2.ipynb b/notebooks/MCMC/MCMC_4_1_2.ipynb new file mode 100644 index 0000000..6f51868 --- /dev/null +++ b/notebooks/MCMC/MCMC_4_1_2.ipynb @@ -0,0 +1,231 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" + ] + } + ], + "source": [ + "%matplotlib inline\n", + "import pymc as pm\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as st\n", + "import arviz as az\n", + "import metropolis_commands as mc\n", + "import numpy as np\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [θ]\n" + ] + }, + { + "data": { + "text/html": [ + "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n" + ], + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n" + ] + } + ], + "source": [ + "trials = 20\n", + "head = 4 \n", + "\n", + "data = np.zeros(trials)\n", + "data[np.arange(head)] = 1\n", + "\n", + "a = 5\n", + "b = 4\n", + "\n", + "with pm.Model() as our_first_model:\n", + " θ = pm.Beta('θ', alpha=a, beta=b)\n", + " y = pm.Bernoulli('y', p=θ, observed=data)\n", + " trace = pm.sample()\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1200x200 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "az.plot_trace(trace);" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>mean</th>\n", + " <th>sd</th>\n", + " <th>hdi_2.5%</th>\n", + " <th>hdi_97.5%</th>\n", + " <th>mcse_mean</th>\n", + " <th>mcse_sd</th>\n", + " <th>ess_bulk</th>\n", + " <th>ess_tail</th>\n", + " <th>r_hat</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>θ</th>\n", + " <td>0.31</td>\n", + " <td>0.086</td>\n", + " <td>0.142</td>\n", + " <td>0.472</td>\n", + " <td>0.002</td>\n", + " <td>0.001</td>\n", + " <td>1895.0</td>\n", + " <td>2317.0</td>\n", + " <td>1.0</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " mean sd hdi_2.5% hdi_97.5% mcse_mean mcse_sd ess_bulk ess_tail \\\n", + "θ 0.31 0.086 0.142 0.472 0.002 0.001 1895.0 2317.0 \n", + "\n", + " r_hat \n", + "θ 1.0 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(trace, hdi_prob=.95)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "<Axes: title={'center': 'θ'}>" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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@@ -0,0 +1,138 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" + ] + } + ], + "source": [ + "%matplotlib inline\n", + "import pymc as pm\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as st\n", + "import arviz as az\n", + "import metropolis_commands as mc\n", + "import numpy as np\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "plt.rcParams['figure.figsize'] = [10, 3]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [θ]\n" + ] + }, + { + "data": { + "text/html": [ + "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n" + ], + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1000x300 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1000x300 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trials = 20\n", + "head = 4 \n", + "\n", + "data = np.zeros(trials)\n", + "data[np.arange(head)] = 1\n", + "\n", + "alph = 5\n", + "bet = 2\n", + "\n", + "with pm.Model() as our_first_model:\n", + " θ = pm.Beta('θ', alpha=alph, beta=bet)\n", + " y = pm.Bernoulli('y', p=θ, observed=data)\n", + " trace = pm.sample(draws=1000, tune=1000)\n", + "\n", + "\n", + "\n", + "az.plot_posterior(trace, hdi_prob=.95, point_estimate=\"mode\")\n", + "plt.xlim(0,1)\n", + "plt.show()\n", + "mc.plot_beta(a=alph+head, b=bet+trials-head) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In `theta = pm.Beta(\"theta\", alpha=1., beta=1.)` wird die Prior-Verteilung definiert, `y = pm.Bernoulli(\"y\", p=theta, observed=data)` legt die Likelihood-Funktion fest. `trace = pm.sample(draws=10000, tune=1000)` gibt an, dass die ersten 1000 tune-in-Versuche, also die ersten 1000 $\\theta$-Werte, die erzeugt wurden, nicht berücksichtigt werden im Histogramm zur Annäherung der Posterior-Verteilung und dass nach den tune-in-Versuchen noch 10000 Schritte ausgeführt werden.\n" + ] + } + ], + "metadata": { + "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": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/MCMC/Untitled.ipynb b/notebooks/MCMC/Untitled.ipynb deleted file mode 100644 index 91edff1..0000000 --- a/notebooks/MCMC/Untitled.ipynb +++ /dev/null @@ -1,112 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "9b27cc58-6e9d-4e3a-9c5b-a9d1f2080022", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from scipy.stats import uniform\n", - "n = 1000\n", - "x = uniform.rvs(size=1000, loc=0, scale=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "98bb71fa-bc54-4e6b-a6c5-5639ffc3b16d", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "from scipy.stats import uniform\n", - "n = 1000\n", - "x = uniform.rvs(size=1000, loc=0, scale=1)\n", - "integrand = np.exp(-np.square(x)/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e9d73b09-de8f-472b-b448-c20b35462143", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.34320423614573237\n" - ] - } - ], - "source": [ - "from math import pi\n", - "import numpy as np\n", - "from scipy.stats import uniform\n", - "n = 1000\n", - "x = uniform.rvs(size=1000, loc=0, scale=1)\n", - "integrand = np.exp(-np.square(x)/2)\n", - "integral = 1/(np.sqrt(2*pi))*np.sum(integrand)/n\n", - "print(integral)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7eee71cd-16c8-484e-8171-ee506ae2b254", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.3413447460685429\n" - ] - } - ], - "source": [ - "from scipy.stats import norm\n", - "integral = norm.cdf(1)-norm.cdf(0)\n", - "print(integral)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d7083f3a-e905-417a-9afb-7ac22debd3a1", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "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": "3.10.11" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/notebooks/MCMC/pymc3_beta_compare.ipynb b/notebooks/MCMC/pymc3_beta_compare.ipynb deleted file mode 100644 index f2497bf..0000000 --- a/notebooks/MCMC/pymc3_beta_compare.ipynb +++ /dev/null @@ -1,138 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" - ] - } - ], - "source": [ - "%matplotlib inline\n", - "import pymc as pm\n", - "import matplotlib.pyplot as plt\n", - "import scipy.stats as st\n", - "import arviz as az\n", - "import metropolis_commands as mc\n", - "import numpy as np\n", - "import warnings\n", - "warnings.filterwarnings(\"ignore\")\n", - "plt.rcParams['figure.figsize'] = [10, 3]" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using jitter+adapt_diag...\n", - "Multiprocess sampling (4 chains in 4 jobs)\n", - "NUTS: [θ]\n" - ] - }, - { - "data": { - "text/html": [ - "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n" - ], - "text/plain": [] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 4 seconds.\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1000x300 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1000x300 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "trials = 20\n", - "head = 4 \n", - "\n", - "data = np.zeros(trials)\n", - "data[np.arange(head)] = 1\n", - "\n", - "alph = 5\n", - "bet = 2\n", - "\n", - "with pm.Model() as our_first_model:\n", - " θ = pm.Beta('θ', alpha=alph, beta=bet)\n", - " y = pm.Bernoulli('y', p=θ, observed=data)\n", - " trace = pm.sample(draws=1000, tune=1000)\n", - "\n", - "\n", - "\n", - "az.plot_posterior(trace, hdi_prob=.95, point_estimate=\"mode\")\n", - "plt.xlim(0,1)\n", - "plt.show()\n", - "mc.plot_beta(a=alph+head, b=bet+trials-head) " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In `theta = pm.Beta(\"theta\", alpha=1., beta=1.)` wird die Prior-Verteilung definiert, `y = pm.Bernoulli(\"y\", p=theta, observed=data)` legt die Likelihood-Funktion fest. `trace = pm.sample(draws=10000, tune=1000)` gibt an, dass die ersten 1000 tune-in-Versuche, also die ersten 1000 $\\theta$-Werte, die erzeugt wurden, nicht berücksichtigt werden im Histogramm zur Annäherung der Posterior-Verteilung und dass nach den tune-in-Versuchen noch 10000 Schritte ausgeführt werden.\n" - ] - } - ], - "metadata": { - "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": "3.10.11" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/MCMC/pymc3_beta_demo.ipynb b/notebooks/MCMC/pymc3_beta_demo.ipynb deleted file mode 100644 index b5785c5..0000000 --- a/notebooks/MCMC/pymc3_beta_demo.ipynb +++ /dev/null @@ -1,231 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" - ] - } - ], - "source": [ - "%matplotlib inline\n", - "import pymc as pm\n", - "import matplotlib.pyplot as plt\n", - "import scipy.stats as st\n", - "import arviz as az\n", - "import metropolis_commands as mc\n", - "import numpy as np\n", - "import warnings\n", - "warnings.filterwarnings(\"ignore\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using jitter+adapt_diag...\n", - "Multiprocess sampling (4 chains in 4 jobs)\n", - "NUTS: [θ]\n" - ] - }, - { - "data": { - "text/html": [ - "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n" - ], - "text/plain": [] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 4 seconds.\n" - ] - } - ], - "source": [ - "trials = 20\n", - "head = 4 \n", - "\n", - "data = np.zeros(trials)\n", - "data[np.arange(head)] = 1\n", - "\n", - "a = 5\n", - "b = 4\n", - "\n", - "with pm.Model() as our_first_model:\n", - " θ = pm.Beta('θ', alpha=a, beta=b)\n", - " y = pm.Bernoulli('y', p=θ, observed=data)\n", - " trace = pm.sample()\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1200x200 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "az.plot_trace(trace);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>mean</th>\n", - " <th>sd</th>\n", - " <th>hdi_2.5%</th>\n", - " <th>hdi_97.5%</th>\n", - " <th>mcse_mean</th>\n", - " <th>mcse_sd</th>\n", - " <th>ess_bulk</th>\n", - " <th>ess_tail</th>\n", - " <th>r_hat</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>θ</th>\n", - " <td>0.312</td>\n", - " <td>0.084</td>\n", - " <td>0.155</td>\n", - " <td>0.479</td>\n", - " <td>0.002</td>\n", - " <td>0.001</td>\n", - " <td>1781.0</td>\n", - " <td>2448.0</td>\n", - " <td>1.0</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " mean sd hdi_2.5% hdi_97.5% mcse_mean mcse_sd ess_bulk ess_tail \\\n", - "θ 0.312 0.084 0.155 0.479 0.002 0.001 1781.0 2448.0 \n", - "\n", - " r_hat \n", - "θ 1.0 " - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "az.summary(trace, hdi_prob=.95)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/plain": [ - "<Axes: title={'center': 'θ'}>" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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