{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ccf92d0b", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "import pymc as pm\n", "import numpy as np\n", "import arviz as az\n", "from pymc.math import logit, exp\n", "import matplotlib.pyplot as plt\n", "import xarray as xr\n", "import pandas as pd\n", "\n", "np.set_printoptions(suppress=True)" ] }, { "cell_type": "markdown", "id": "780500d7", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# 8. Cumulative Example*\n", "\n", "Adapted from [Unit 9: cumulative2.odc](https://raw.githubusercontent.com/areding/6420-pymc/main/original_examples/Codes4Unit9/cumulative2.odc)." ] }, { "cell_type": "markdown", "id": "440b4b07-6d1a-4eb9-9fd0-9b783e1924fb", "metadata": {}, "source": [ "## Notes\n", "\n", "From the OpenBUGS manual:\n", "\n", "> cumulative(s1, s2): tail area of distribution of s1 up to the value of s2, s1 must be stochastic, s1 and s2 can be the same\n", "\n", "\n", "## Fitting the model\n", "\n", "As we said on the previous page, we want to evaluate the Empirical CDF at the values of our response variable to check how well our model fits the data. First, we'll fit our model and add posterior predictive samples to the trace." ] }, { "cell_type": "code", "execution_count": 14, "id": "8a26a1c4", "metadata": {}, "outputs": [], "source": [ "y = np.array(\n", " [\n", " 0.0,\n", " 1.0,\n", " 2.0,\n", " -1.0,\n", " 0.4,\n", " -0.5,\n", " 0.7,\n", " -1.2,\n", " 0.1,\n", " -0.4,\n", " 0.2,\n", " -0.5,\n", " -1.4,\n", " 1.8,\n", " 0.2,\n", " 0.3,\n", " -0.6,\n", " 1.1,\n", " 5.1,\n", " -6.3,\n", " ]\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "34f30c06", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-output" ] }, "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: [theta, ls]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
theta0.0520.486-0.8550.9750.0060.0066753.04931.01.0
ls0.7550.1700.4501.0800.0020.0025754.05290.01.0
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n", "theta 0.052 0.486 -0.855 0.975 0.006 0.006 6753.0 4931.0 \n", "ls 0.755 0.170 0.450 1.080 0.002 0.002 5754.0 5290.0 \n", "\n", " r_hat \n", "theta 1.0 \n", "ls 1.0 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace)" ] }, { "cell_type": "markdown", "id": "7b8a262b-1ed5-4e9e-bc7f-96cebc2d34e7", "metadata": {}, "source": [ "## Plot posterior predictive distribution vs. observed values\n", "\n", "Now we have posterior samples, the equivalent of the stochastic part of the y[i] node in BUGS. There are different ways to compare these with our ECDF. The easiest is the [```arviz.plot_ppc```](https://python.arviz.org/en/stable/api/generated/arviz.plot_ppc.html) function with the ```kind=\"cumulative\"``` argument." ] }, { "cell_type": "code", "execution_count": 6, "id": "90255085-694a-4fe1-9c18-df384bf49495", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_ppc(trace, kind=\"cumulative\", num_pp_samples=100)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "52b75e2a-96aa-4d84-9f66-99c1ccbfbf90", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Doesn't look like our posterior does a good job of fitting the observed data. The mean fits okay, but both tails have some issues because of some extreme values near the endpoints. This plot is just comparing individual ECDFs, though. It's not evaluating the posterior ECDF at the observed $y$ values. \n", "\n", "Plots in general might not be the easiest thing to interpret if we have a lot of datapoints. I wrote the following function to recreate the lecture example." ] }, { "cell_type": "code", "execution_count": 7, "id": "2a2d0d36-38f8-4d56-a819-5bf38abd41fd", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "def evaluate_ecdf(trace: az.InferenceData) -> np.array:\n", " \"\"\"Evaluates ECDF at original observed values.\n", "\n", " This function assumes a single set of observed values.\n", "\n", " Args:\n", " trace: arviz.InferenceData from running a PyMC model.\n", "\n", " Returns:\n", " A Numpy array of the ECDF evaluation at each original datapoint.\n", " \"\"\"\n", " # get posterior predictive variable name\n", " ppc_vars = list(trace.posterior_predictive.data_vars)\n", " assert (\n", " len(ppc_vars) == 1\n", " ), \"Number of variables in posterior predictive must equal 1.\"\n", " y_varname = ppc_vars[0]\n", "\n", " # get original observations\n", " y_obs = trace.observed_data[y_varname].values\n", " assert (\n", " len(y_obs.shape) == 1\n", " ), \"Y-observations shape must be one-dimensional.\"\n", " n_obs = y_obs.shape[0]\n", " y_obs = y_obs.reshape(-1, 1) # for broadcasting\n", "\n", " # get posterior predictive samples for each y_obs and sample count\n", " y_samples_per_obs = trace.posterior_predictive[y_varname].stack(\n", " sample=(\"chain\", \"draw\")\n", " )\n", " assert y_samples_per_obs.shape[0] == n_obs, \"Shape assumptions aren't met.\"\n", " n_samples = y_samples_per_obs.shape[1]\n", "\n", " # evaluate ECDF at each y_obs and convert to numpy array\n", " ecdf_values = y_samples_per_obs <= y_obs\n", " prob = ecdf_values.sum(dim=\"sample\") / n_samples\n", "\n", " return prob.to_numpy()" ] }, { "cell_type": "code", "execution_count": 8, "id": "4faa1c50-e8a6-4a6a-9967-b47159b16a15", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.4905 0.668375 0.813875 0.304625 0.571 0.393625 0.610375 0.2775\n", " 0.508125 0.41075 0.528375 0.395 0.2455 0.79225 0.53125 0.540125\n", " 0.38525 0.681625 0.986875 0.005 ]\n", "[ 0.00144435 0.49118313 2.17677064 0.68123523 0.08175727 0.18671035\n", " 0.20150114 0.91565089 0.00105644 0.13022411 0.01290998 0.18176809\n", " 1.26058627 1.79169352 0.01566581 0.0258714 0.21839098 0.57950114\n", " 18.66261234 28.01907597]\n" ] } ], "source": [ "prob = evaluate_ecdf(trace)\n", "\n", "print(prob)\n", "print(np.log(prob / (1 - prob)) ** 2) # squared logit" ] }, { "cell_type": "markdown", "id": "8ca6daca-ec54-406e-b829-413da59c8534", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The last two values are the outliers. I've saved the old version of this code below, you should be able to click to expand it." ] }, { "cell_type": "code", "execution_count": 9, "id": "846c2f1c-ceb8-4697-80ba-49394e83eec5", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-cell" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "array([0.4905 , 0.668375, 0.813875, 0.304625, 0.571 , 0.393625,\n", " 0.610375, 0.2775 , 0.508125, 0.41075 , 0.528375, 0.395 ,\n", " 0.2455 , 0.79225 , 0.53125 , 0.540125, 0.38525 , 0.681625,\n", " 0.986875, 0.005 ])\n", "Coordinates:\n", " * y_dim_2 (y_dim_2) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n", "\n", "array([ 0.00144435, 0.49118313, 2.17677064, 0.68123523, 0.08175727,\n", " 0.18671035, 0.20150114, 0.91565089, 0.00105644, 0.13022411,\n", " 0.01290998, 0.18176809, 1.26058627, 1.79169352, 0.01566581,\n", " 0.0258714 , 0.21839098, 0.57950114, 18.66261234, 28.01907597])\n", "Coordinates:\n", " * y_dim_2 (y_dim_2) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n", "\n", "array(55.63560904)\n" ] } ], "source": [ "# old version\n", "# transforming data so we can broadcast\n", "y_data = xr.DataArray(y, dims=(\"y_dim_2\",))\n", "y_sampled = trace.posterior_predictive[\"y\"]\n", "y_data = y_data.expand_dims(\n", " {\"chain\": y_sampled.chain, \"draw\": y_sampled.draw}, axis=(0, 1)\n", ")\n", "\n", "# \"cumulative(y_sampled, y_data)\", equivalent of cumulative(y[i], y[i]) in BUGS.\n", "cumulative_sum = (y_sampled <= y_data).sum(dim=[\"chain\", \"draw\"])\n", "probabilities = cumulative_sum / (y_sampled.chain.size * y_sampled.draw.size)\n", "\n", "print(probabilities)\n", "\n", "# add[i] = pow(logit(cuy[i]),2)\n", "add_probabilities = np.log(probabilities / (1 - probabilities)) ** 2\n", "print(add_probabilities)\n", "print(add_probabilities.sum())" ] }, { "cell_type": "markdown", "id": "bdf988dc-34fd-4978-b4b6-bdd5e3d6f29a", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Another cool Arviz plot\n", "\n", "Arviz has the [```plot_lm```](https://python.arviz.org/en/v0.15.1/api/generated/arviz.plot_lm.html) function as well. It's really nice for visualizing the observed data versus the posterior predictive samples. Let's try it with the single-predictor model from [](../unit7/Unit7-demo-regression.ipynb)." ] }, { "cell_type": "code", "execution_count": 10, "id": "02c63623-f0c9-4e06-be29-511ddf6c53c5", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-output" ] }, "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: [sigma, intercept, slope]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [12000/12000 00:03<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 4 seconds.\n", "Sampling: [y]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = pd.read_csv(\"../data/fat.tsv\", sep=\"\\t\")\n", "\n", "y = data[\"y\"].to_numpy(copy=True)\n", "X = data[\"X8\"].to_numpy(copy=True)\n", "\n", "with pm.Model() as m:\n", " sigma = pm.Exponential(\"sigma\", 0.05)\n", " beta0 = pm.Normal(\"intercept\", 0, sigma=10)\n", " beta1 = pm.Normal(\"slope\", 0, sigma=10)\n", "\n", " mu = beta0 + beta1 * X\n", " likelihood = pm.Normal(\"y\", mu=mu, sigma=sigma, observed=y)\n", "\n", " trace = pm.sample(2000)\n", " pm.sample_posterior_predictive(trace, extend_inferencedata=True)" ] }, { "cell_type": "markdown", "id": "dd5a35b6-bc25-4c9b-9f2c-9493238b3ae3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Unfortunately, I haven't been able to get this working for a year or two now." ] }, { "cell_type": "code", "execution_count": 11, "id": "11d889f5-20a4-404d-b628-17a664c8226f", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-output" ] }, "outputs": [ { "ename": "ValueError", "evalue": "x and y must have same first dimension, but have shapes (252,) and (1,)", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[11], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m x \u001b[38;5;241m=\u001b[39m xr\u001b[38;5;241m.\u001b[39mDataArray(np\u001b[38;5;241m.\u001b[39mlinspace(\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m252\u001b[39m))\n\u001b[1;32m 2\u001b[0m trace\u001b[38;5;241m.\u001b[39mposterior[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124my_model\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m trace\u001b[38;5;241m.\u001b[39mposterior[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mintercept\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m+\u001b[39m trace\u001b[38;5;241m.\u001b[39mposterior[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mslope\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m*\u001b[39m x\n\u001b[0;32m----> 3\u001b[0m \u001b[43maz\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot_lm\u001b[49m\u001b[43m(\u001b[49m\u001b[43midata\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtrace\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43my\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/mambaforge/envs/pymc/lib/python3.11/site-packages/arviz/plots/lmplot.py:351\u001b[0m, in \u001b[0;36mplot_lm\u001b[0;34m(y, idata, x, y_model, y_hat, num_samples, kind_pp, kind_model, xjitter, plot_dim, backend, y_kwargs, y_hat_plot_kwargs, y_hat_fill_kwargs, y_model_plot_kwargs, y_model_fill_kwargs, y_model_mean_kwargs, backend_kwargs, show, figsize, textsize, axes, legend, grid)\u001b[0m\n\u001b[1;32m 348\u001b[0m backend \u001b[38;5;241m=\u001b[39m backend\u001b[38;5;241m.\u001b[39mlower()\n\u001b[1;32m 350\u001b[0m plot \u001b[38;5;241m=\u001b[39m get_plotting_function(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mplot_lm\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mlmplot\u001b[39m\u001b[38;5;124m\"\u001b[39m, backend)\n\u001b[0;32m--> 351\u001b[0m ax \u001b[38;5;241m=\u001b[39m \u001b[43mplot\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mlmplot_kwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 352\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m ax\n", "File \u001b[0;32m~/mambaforge/envs/pymc/lib/python3.11/site-packages/arviz/plots/backends/matplotlib/lmplot.py:108\u001b[0m, in \u001b[0;36mplot_lm\u001b[0;34m(x, y, y_model, y_hat, num_samples, kind_pp, kind_model, xjitter, length_plotters, rows, cols, y_kwargs, y_hat_plot_kwargs, y_hat_fill_kwargs, y_model_plot_kwargs, y_model_fill_kwargs, y_model_mean_kwargs, backend_kwargs, show, figsize, textsize, axes, legend, grid)\u001b[0m\n\u001b[1;32m 106\u001b[0m ax_i\u001b[38;5;241m.\u001b[39mplot(x_plotters_jitter, y_hat_plotters[\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m, j], \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39my_hat_plot_kwargs)\n\u001b[1;32m 107\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m--> 108\u001b[0m \u001b[43max_i\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx_plotters\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my_hat_plotters\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mj\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43my_hat_plot_kwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 109\u001b[0m ax_i\u001b[38;5;241m.\u001b[39mplot([], \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39my_hat_plot_kwargs, label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mPosterior predictive samples\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 110\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n", "File \u001b[0;32m~/mambaforge/envs/pymc/lib/python3.11/site-packages/matplotlib/axes/_axes.py:1688\u001b[0m, in \u001b[0;36mAxes.plot\u001b[0;34m(self, scalex, scaley, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1445\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 1446\u001b[0m \u001b[38;5;124;03mPlot y versus x as lines and/or markers.\u001b[39;00m\n\u001b[1;32m 1447\u001b[0m \n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 1685\u001b[0m \u001b[38;5;124;03m(``'green'``) or hex strings (``'#008000'``).\u001b[39;00m\n\u001b[1;32m 1686\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 1687\u001b[0m kwargs \u001b[38;5;241m=\u001b[39m cbook\u001b[38;5;241m.\u001b[39mnormalize_kwargs(kwargs, mlines\u001b[38;5;241m.\u001b[39mLine2D)\n\u001b[0;32m-> 1688\u001b[0m lines \u001b[38;5;241m=\u001b[39m [\u001b[38;5;241m*\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_get_lines(\u001b[38;5;241m*\u001b[39margs, data\u001b[38;5;241m=\u001b[39mdata, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)]\n\u001b[1;32m 1689\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m line \u001b[38;5;129;01min\u001b[39;00m lines:\n\u001b[1;32m 1690\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39madd_line(line)\n", "File \u001b[0;32m~/mambaforge/envs/pymc/lib/python3.11/site-packages/matplotlib/axes/_base.py:311\u001b[0m, in \u001b[0;36m_process_plot_var_args.__call__\u001b[0;34m(self, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m 309\u001b[0m this \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m args[\u001b[38;5;241m0\u001b[39m],\n\u001b[1;32m 310\u001b[0m args \u001b[38;5;241m=\u001b[39m args[\u001b[38;5;241m1\u001b[39m:]\n\u001b[0;32m--> 311\u001b[0m \u001b[38;5;28;01myield from\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_plot_args\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 312\u001b[0m \u001b[43m \u001b[49m\u001b[43mthis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mambiguous_fmt_datakey\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mambiguous_fmt_datakey\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/mambaforge/envs/pymc/lib/python3.11/site-packages/matplotlib/axes/_base.py:504\u001b[0m, in \u001b[0;36m_process_plot_var_args._plot_args\u001b[0;34m(self, tup, kwargs, return_kwargs, ambiguous_fmt_datakey)\u001b[0m\n\u001b[1;32m 501\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39maxes\u001b[38;5;241m.\u001b[39myaxis\u001b[38;5;241m.\u001b[39mupdate_units(y)\n\u001b[1;32m 503\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m x\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m!=\u001b[39m y\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m]:\n\u001b[0;32m--> 504\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mx and y must have same first dimension, but \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 505\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mhave shapes \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mx\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m and \u001b[39m\u001b[38;5;132;01m{\u001b[39;00my\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 506\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m x\u001b[38;5;241m.\u001b[39mndim \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m2\u001b[39m \u001b[38;5;129;01mor\u001b[39;00m y\u001b[38;5;241m.\u001b[39mndim \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m2\u001b[39m:\n\u001b[1;32m 507\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mx and y can be no greater than 2D, but have \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 508\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mshapes \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mx\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m and \u001b[39m\u001b[38;5;132;01m{\u001b[39;00my\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[0;31mValueError\u001b[0m: x and y must have same first dimension, but have shapes (252,) and (1,)" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = xr.DataArray(np.linspace(0, 1, 252))\n", "trace.posterior[\"y_model\"] = (\n", " trace.posterior[\"intercept\"] + trace.posterior[\"slope\"] * x\n", ")\n", "az.plot_lm(idata=trace, y=\"y\", x=x)" ] }, { "cell_type": "markdown", "id": "682d1938-d6e7-48bb-b954-fdebb442aa5a", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-output" ] }, "source": [ "The below example from the [Arviz docs](https://python.arviz.org/en/v0.16.1/api/generated/arviz.plot_lm.html) still works, but the idata here was generated using PyMC 3. Maybe there's some subtle difference that I'm missing. Let me know if you figure it out!" ] }, { "cell_type": "code", "execution_count": 12, "id": "e7c51ffb-4d38-4235-b501-d19d8e63571a", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([[]], dtype=object)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idata = az.load_arviz_data(\"regression1d\")\n", "x = xr.DataArray(np.linspace(0, 1, 100))\n", "idata.posterior[\"y_model\"] = (\n", " idata.posterior[\"intercept\"] + idata.posterior[\"slope\"] * x\n", ")\n", "az.plot_lm(idata=idata, y=\"y\", x=x)" ] }, { "cell_type": "code", "execution_count": 13, "id": "55199cf2", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Nov 07 2023\n", "\n", "Python implementation: CPython\n", "Python version : 3.11.5\n", "IPython version : 8.15.0\n", "\n", "pytensor: 2.17.1\n", "\n", "arviz : 0.16.1\n", "pymc : 5.9.0\n", "pandas : 2.1.0\n", "numpy : 1.25.2\n", "xarray : 2023.8.0\n", "matplotlib: 3.7.2\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -p pytensor" ] } ], "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }