{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Copula - Multivariate joint distribution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:38.959716Z", "iopub.status.busy": "2024-03-18T09:21:38.959467Z", "iopub.status.idle": "2024-03-18T09:21:42.414692Z", "shell.execute_reply": "2024-03-18T09:21:42.413534Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from scipy import stats\n", "\n", "sns.set_style(\"darkgrid\")\n", "sns.mpl.rc(\"figure\", figsize=(8, 8))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:42.419675Z", "iopub.status.busy": "2024-03-18T09:21:42.418090Z", "iopub.status.idle": "2024-03-18T09:21:42.439223Z", "shell.execute_reply": "2024-03-18T09:21:42.438359Z" } }, "outputs": [ { "data": { "application/javascript": [ "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When modeling a system, there are often cases where multiple parameters are involved. Each of these parameters could be described with a given Probability Density Function (PDF). If would like to be able to generate a new set of parameter values, we need to be able to sample from these distributions-also called marginals. There are mainly two cases: *(i)* PDFs are independent; *(ii)* there is a dependency. One way to model the dependency it to use a **copula**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling from a copula\n", "\n", "Let's use a bi-variate example and assume first that we have a prior and know how to model the dependence between our 2 variables.\n", "\n", "In this case, we are using the Gumbel copula and fix its hyperparameter `theta=2`. We can visualize it's 2-dimensional PDF." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:42.443547Z", "iopub.status.busy": "2024-03-18T09:21:42.442355Z", "iopub.status.idle": "2024-03-18T09:21:43.858219Z", "shell.execute_reply": "2024-03-18T09:21:43.857451Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.distributions.copula.api import (\n", " CopulaDistribution, GumbelCopula, IndependenceCopula)\n", "\n", "copula = GumbelCopula(theta=2)\n", "_ = copula.plot_pdf() # returns a matplotlib figure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can sample the PDF." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:43.862381Z", "iopub.status.busy": "2024-03-18T09:21:43.862063Z", "iopub.status.idle": "2024-03-18T09:21:45.555245Z", "shell.execute_reply": "2024-03-18T09:21:45.554497Z" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.13/x64/lib/python3.10/site-packages/statsmodels/tools/rng_qrng.py:54: FutureWarning: Passing `None` as the seed currently return the NumPy singleton RandomState\n", "(np.random.mtrand._rand). After release 0.13 this will change to using the\n", "default generator provided by NumPy (np.random.default_rng()). If you need\n", "reproducible draws, you should pass a seeded np.random.Generator, e.g.,\n", "\n", "import numpy as np\n", "seed = 32839283923801\n", "rng = np.random.default_rng(seed)\"\n", "\n", " warnings.warn(_future_warn, FutureWarning)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = copula.rvs(10000)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"hex\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's come back to our 2 variables for a second. In this case we consider them to be gamma and normally distributed. If they would be independent from each other, we could sample from each PDF individually. Here we use a convenient class to do the same operation.\n", "\n", "### Reproducibility\n", "\n", "Generating reproducible random values from copulas required explicitly setting the `seed` argument.\n", "`seed` accepts either an initialized NumPy `Generator` or `RandomState`, or any argument acceptable\n", "to `np.random.default_rng`, e.g., an integer or a sequence of integers. This example uses an\n", "integer.\n", "\n", "The singleton `RandomState` that is directly exposed in the `np.random` distributions is\n", "not used, and setting `np.random.seed` has no effect on the values generated." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:45.559088Z", "iopub.status.busy": "2024-03-18T09:21:45.558794Z", "iopub.status.idle": "2024-03-18T09:21:47.639328Z", "shell.execute_reply": "2024-03-18T09:21:47.638508Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "marginals = [stats.gamma(2), stats.norm]\n", "joint_dist = CopulaDistribution(copula=IndependenceCopula(), marginals=marginals)\n", "sample = joint_dist.rvs(512, random_state=20210801)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, above we have expressed the dependency between our variables using a copula, we can use this copula to sample a new set of observation with the same convenient class." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:47.649439Z", "iopub.status.busy": "2024-03-18T09:21:47.643460Z", "iopub.status.idle": "2024-03-18T09:21:49.577740Z", "shell.execute_reply": "2024-03-18T09:21:49.576967Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "joint_dist = CopulaDistribution(copula, marginals)\n", "# Use an initialized Generator object\n", "rng = np.random.default_rng([2, 0, 2, 1, 0, 8, 0, 1])\n", "sample = joint_dist.rvs(512, random_state=rng)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two things to note here. *(i)* as in the independent case, the marginals are correctly showing a gamma and normal distribution; *(ii)* the dependence is visible between the two variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating copula parameters\n", "\n", "Now, imagine we already have experimental data and we know that there is a dependency that can be expressed using a Gumbel copula. But we don't know what is the hyperparameter value for our copula. In this case, we can estimate the value.\n", "\n", "We are going to use the sample we just generated as we already know the value of the hyperparameter we should get: `theta=2`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:49.583890Z", "iopub.status.busy": "2024-03-18T09:21:49.582026Z", "iopub.status.idle": "2024-03-18T09:21:49.606728Z", "shell.execute_reply": "2024-03-18T09:21:49.606051Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.049379621506455\n" ] } ], "source": [ "copula = GumbelCopula()\n", "theta = copula.fit_corr_param(sample)\n", "print(theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the estimated hyperparameter value is close to the value set previously." ] } ], "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": 4 }