{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Copula - Multivariate joint distribution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:07:02.444414Z", "iopub.status.busy": "2022-11-02T17:07:02.443876Z", "iopub.status.idle": "2022-11-02T17:07:03.459675Z", "shell.execute_reply": "2022-11-02T17:07:03.458999Z" } }, "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": "2022-11-02T17:07:03.464943Z", "iopub.status.busy": "2022-11-02T17:07:03.463684Z", "iopub.status.idle": "2022-11-02T17:07:03.476020Z", "shell.execute_reply": "2022-11-02T17:07:03.475483Z" } }, "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": "2022-11-02T17:07:03.480728Z", "iopub.status.busy": "2022-11-02T17:07:03.479635Z", "iopub.status.idle": "2022-11-02T17:07:04.003493Z", "shell.execute_reply": "2022-11-02T17:07:04.002844Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "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": "2022-11-02T17:07:04.007541Z", "iopub.status.busy": "2022-11-02T17:07:04.007293Z", "iopub.status.idle": "2022-11-02T17:07:04.707464Z", "shell.execute_reply": "2022-11-02T17:07:04.706849Z" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/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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\n", 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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": "2022-11-02T17:07:04.713407Z", "iopub.status.busy": "2022-11-02T17:07:04.712267Z", "iopub.status.idle": "2022-11-02T17:07:05.319996Z", "shell.execute_reply": "2022-11-02T17:07:05.319371Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2022-11-02T17:07:05.325074Z", "iopub.status.busy": "2022-11-02T17:07:05.323932Z", "iopub.status.idle": "2022-11-02T17:07:05.972895Z", "shell.execute_reply": "2022-11-02T17:07:05.972258Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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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": "2022-11-02T17:07:05.976854Z", "iopub.status.busy": "2022-11-02T17:07:05.976385Z", "iopub.status.idle": "2022-11-02T17:07:05.980980Z", "shell.execute_reply": "2022-11-02T17:07:05.980439Z" } }, "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }