From 101f5b5eb22abb318f57870d71dd6e875ead95b6 Mon Sep 17 00:00:00 2001 From: Mirko Birbaumer <mirko.birbaumer@hslu.ch> Date: Wed, 2 Oct 2024 09:47:58 +0000 Subject: [PATCH] renaming MCMC notebooks --- ...kov_chain_weather.ipynb => MCMC_1_1.ipynb} | 0 .../{metro_walk.ipynb => MCMC_3_5_1.ipynb} | 0 notebooks/MCMC/MCMC_3_5_2.ipynb | 69 +++++++++++ .../{metro_hist.ipynb => MCMC_3_5_3.ipynb} | 0 notebooks/MCMC/Untitled.ipynb | 112 ++++++++++++++++++ notebooks/MCMC/metro_beta_walk_hist.ipynb | 62 ---------- 6 files changed, 181 insertions(+), 62 deletions(-) rename notebooks/MCMC/{markov_chain_weather.ipynb => MCMC_1_1.ipynb} (100%) rename notebooks/MCMC/{metro_walk.ipynb => MCMC_3_5_1.ipynb} (100%) create mode 100644 notebooks/MCMC/MCMC_3_5_2.ipynb rename notebooks/MCMC/{metro_hist.ipynb => MCMC_3_5_3.ipynb} (100%) create mode 100644 notebooks/MCMC/Untitled.ipynb delete mode 100644 notebooks/MCMC/metro_beta_walk_hist.ipynb diff --git a/notebooks/MCMC/markov_chain_weather.ipynb b/notebooks/MCMC/MCMC_1_1.ipynb similarity index 100% rename from notebooks/MCMC/markov_chain_weather.ipynb rename to notebooks/MCMC/MCMC_1_1.ipynb diff --git a/notebooks/MCMC/metro_walk.ipynb b/notebooks/MCMC/MCMC_3_5_1.ipynb similarity index 100% rename from notebooks/MCMC/metro_walk.ipynb rename to notebooks/MCMC/MCMC_3_5_1.ipynb diff --git a/notebooks/MCMC/MCMC_3_5_2.ipynb b/notebooks/MCMC/MCMC_3_5_2.ipynb new file mode 100644 index 0000000..8f9db17 --- /dev/null +++ b/notebooks/MCMC/MCMC_3_5_2.ipynb @@ -0,0 +1,69 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import metropolis_commands as mc\n", + "\n", + "plt.rcParams['figure.figsize'] = [10, 5]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1000x500 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mc.metro_beta_walk_hist(n=10000, a=5, b=2, init=0.8, step_sd=.2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "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": 4 +} diff --git a/notebooks/MCMC/metro_hist.ipynb b/notebooks/MCMC/MCMC_3_5_3.ipynb similarity index 100% rename from notebooks/MCMC/metro_hist.ipynb rename to notebooks/MCMC/MCMC_3_5_3.ipynb diff --git a/notebooks/MCMC/Untitled.ipynb b/notebooks/MCMC/Untitled.ipynb new file mode 100644 index 0000000..91edff1 --- /dev/null +++ b/notebooks/MCMC/Untitled.ipynb @@ -0,0 +1,112 @@ +{ + "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/metro_beta_walk_hist.ipynb b/notebooks/MCMC/metro_beta_walk_hist.ipynb deleted file mode 100644 index 1b289f2..0000000 --- a/notebooks/MCMC/metro_beta_walk_hist.ipynb +++ /dev/null @@ -1,62 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "import metropolis_commands as mc\n", - "\n", - "plt.rcParams['figure.figsize'] = [10, 5]" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1000x500 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mc.metro_beta_walk_hist(n=10000, a=5, b=2, init=0.8, step_sd=.2)" - ] - } - ], - "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 -} -- GitLab