{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "(GLM-out-of-sample-predictions)=\n", "# Out-Of-Sample Predictions\n", "\n", ":::{post} December, 2023\n", ":tags: generalized linear model, logistic regression, out of sample predictions, patsy\n", ":category: beginner\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:28.293925399Z", "start_time": "2023-12-07T01:08:27.677320823Z" } }, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "import seaborn as sns\n", "\n", "from scipy.special import expit as inverse_logit\n", "from sklearn.metrics import RocCurveDisplay, auc, roc_curve" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:28.297190329Z", "start_time": "2023-12-07T01:08:28.294308241Z" } }, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate Sample Data\n", "\n", "We want to fit a logistic regression model where there is a multiplicative interaction between two numerical features." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:28.307270628Z", "start_time": "2023-12-07T01:08:28.296881471Z" } }, "outputs": [ { "data": { "text/plain": " x1 x2 y\n0 -0.445284 1.381325 0\n1 2.651317 0.800736 1\n2 -1.141940 -0.128204 0\n3 1.336498 -0.931965 0\n4 2.290762 3.400222 1", "text/html": "
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x1x2y
0-0.4452841.3813250
12.6513170.8007361
2-1.141940-0.1282040
31.336498-0.9319650
42.2907623.4002221
\n
" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of data points\n", "n = 250\n", "# Create features\n", "x1 = rng.normal(loc=0.0, scale=2.0, size=n)\n", "x2 = rng.normal(loc=0.0, scale=2.0, size=n)\n", "# Define target variable\n", "intercept = -0.5\n", "beta_x1 = 1\n", "beta_x2 = -1\n", "beta_interaction = 2\n", "z = intercept + beta_x1 * x1 + beta_x2 * x2 + beta_interaction * x1 * x2\n", "p = inverse_logit(z)\n", "# note binomial with n=1 is equal to a Bernoulli\n", "y = rng.binomial(n=1, p=p, size=n)\n", "df = pd.DataFrame(dict(x1=x1, x2=x2, y=y))\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us do some exploration of the data:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:28.941490631Z", "start_time": "2023-12-07T01:08:28.307197325Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/xian/mambaforge/envs/pymc/lib/python3.10/site-packages/seaborn/axisgrid.py:118: UserWarning: This figure was using constrained_layout, but that is incompatible with subplots_adjust and/or tight_layout; disabling constrained_layout.\n", " self._figure.tight_layout(*args, **kwargs)\n" ] }, { "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.pairplot(data=df, kind=\"scatter\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- $x_1$ and $x_2$ are not correlated.\n", "- $x_1$ and $x_2$ do not seem to separate the $y$-classes independently.\n", "- The distribution of $y$ is not highly unbalanced." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:29.054171607Z", "start_time": "2023-12-07T01:08:28.943530942Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "sns.scatterplot(x=\"x1\", y=\"x2\", data=df, hue=\"y\")\n", "ax.legend(title=\"y\")\n", "ax.set(title=\"Sample Data\", xlim=(-9, 9), ylim=(-9, 9));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare Data for Modeling" ] }, { "cell_type": "code", "execution_count": 6, "outputs": [], "source": [ "labels = [\"Intercept\", \"x1\", \"x2\", \"x1:x2\"]\n", "df[\"Intercept\"] = np.ones(len(df))\n", "df[\"x1:x2\"] = df[\"x1\"] * df[\"x2\"]\n", "# reorder columns to be in the same order as labels\n", "df = df[labels]\n", "x = df.to_numpy()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2023-12-07T01:08:29.059531616Z", "start_time": "2023-12-07T01:08:29.056504038Z" } } }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we do a train-test split." ] }, { "cell_type": "code", "execution_count": 7, "outputs": [], "source": [ "indices = rng.permutation(x.shape[0])\n", "train_prop = 0.7\n", "train_size = int(train_prop * x.shape[0])\n", "training_idx, test_idx = indices[:train_size], indices[train_size:]\n", "x_train, x_test = x[training_idx, :], x[test_idx, :]\n", "y_train, y_test = y[training_idx], y[test_idx]" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2023-12-07T01:08:29.062009501Z", "start_time": "2023-12-07T01:08:29.058706350Z" } } }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define and Fit the Model\n", "\n", "We now specify the model in PyMC." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:29.262888874Z", "start_time": "2023-12-07T01:08:29.062820492Z" } }, "outputs": [ { "data": { "image/svg+xml": "\n\n\n\n\n\n\n\ncluster175 x 4\n\n175 x 4\n\n\ncluster175\n\n175\n\n\nclustercoeffs (4)\n\ncoeffs (4)\n\n\n\nX\n\nX\n~\nMutableData\n\n\n\np\n\np\n~\nDeterministic\n\n\n\nX->p\n\n\n\n\n\nobs\n\nobs\n~\nBernoulli\n\n\n\np->obs\n\n\n\n\n\ny\n\ny\n~\nMutableData\n\n\n\nobs->y\n\n\n\n\n\nb\n\nb\n~\nNormal\n\n\n\nb->p\n\n\n\n\n\n", "text/plain": "" }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords = {\"coeffs\": labels}\n", "\n", "with pm.Model(coords=coords) as model:\n", " # data containers\n", " X = pm.MutableData(\"X\", x_train)\n", " y = pm.MutableData(\"y\", y_train)\n", " # priors\n", " b = pm.Normal(\"b\", mu=0, sigma=1, dims=\"coeffs\")\n", " # linear model\n", " mu = pm.math.dot(X, b)\n", " # link function\n", " p = pm.Deterministic(\"p\", pm.math.invlogit(mu))\n", " # likelihood\n", " pm.Bernoulli(\"obs\", p=p, observed=y)\n", "\n", "pm.model_to_graphviz(model)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:32.399029568Z", "start_time": "2023-12-07T01:08:29.262686725Z" } }, "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: [b]\n" ] }, { "data": { "text/plain": "", "text/html": "\n\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "", "text/html": "\n
\n \n \n
\n " }, "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 1 seconds.\n" ] } ], "source": [ "with model:\n", " idata = pm.sample()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:32.835299707Z", "start_time": "2023-12-07T01:08:32.401692758Z" } }, "outputs": [ { "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_trace(idata, var_names=\"b\", compact=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The chains look good." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:32.885982194Z", "start_time": "2023-12-07T01:08:32.835017792Z" } }, "outputs": [ { "data": { "text/plain": " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\nb[Intercept] -0.215 0.231 -0.650 0.216 0.004 0.003 3037.0 \nb[x1] 0.705 0.193 0.363 1.085 0.004 0.003 2296.0 \nb[x2] -0.675 0.209 -1.065 -0.281 0.004 0.003 2761.0 \nb[x1:x2] 1.698 0.303 1.114 2.240 0.007 0.005 2079.0 \n\n ess_tail r_hat \nb[Intercept] 2565.0 1.0 \nb[x1] 2386.0 1.0 \nb[x2] 2419.0 1.0 \nb[x1:x2] 2325.0 1.0 ", "text/html": "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
b[Intercept]-0.2150.231-0.6500.2160.0040.0033037.02565.01.0
b[x1]0.7050.1930.3631.0850.0040.0032296.02386.01.0
b[x2]-0.6750.209-1.065-0.2810.0040.0032761.02419.01.0
b[x1:x2]1.6980.3031.1142.2400.0070.0052079.02325.01.0
\n
" }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(idata, var_names=\"b\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we do a good job of recovering the true parameters for this simulated dataset." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:33.102735757Z", "start_time": "2023-12-07T01:08:32.855453247Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_posterior(\n", " idata, var_names=[\"b\"], ref_val=[intercept, beta_x1, beta_x2, beta_interaction], figsize=(15, 4)\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate Out-Of-Sample Predictions\n", "\n", "Now we generate predictions on the test set." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:33.348593079Z", "start_time": "2023-12-07T01:08:33.102634590Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [obs]\n" ] }, { "data": { "text/plain": "", "text/html": "\n\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "", "text/html": "\n
\n \n \n
\n " }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with model:\n", " pm.set_data({\"X\": x_test, \"y\": y_test})\n", " idata.extend(pm.sample_posterior_predictive(idata))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:33.390660495Z", "start_time": "2023-12-07T01:08:33.349359007Z" } }, "outputs": [], "source": [ "# Compute the point prediction by taking the mean and defining the category via a threshold.\n", "p_test_pred = idata.posterior_predictive[\"obs\"].mean(dim=[\"chain\", \"draw\"])\n", "y_test_pred = (p_test_pred >= 0.5).astype(\"int\").to_numpy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluate Model\n", "\n", "First let us compute the accuracy on the test set." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:33.391395602Z", "start_time": "2023-12-07T01:08:33.390556542Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "accuracy = 0.893\n" ] } ], "source": [ "print(f\"accuracy = {np.mean(y_test==y_test_pred): 0.3f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we plot the [roc curve](https://en.wikipedia.org/wiki/Receiver_operating_characteristic) and compute the [auc](https://en.wikipedia.org/wiki/Receiver_operating_characteristic#Area_under_the_curve)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:33.438740236Z", "start_time": "2023-12-07T01:08:33.390726550Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fpr, tpr, thresholds = roc_curve(\n", " y_true=y_test, y_score=p_test_pred, pos_label=1, drop_intermediate=False\n", ")\n", "roc_auc = auc(fpr, tpr)\n", "\n", "fig, ax = plt.subplots()\n", "roc_display = RocCurveDisplay(fpr=fpr, tpr=tpr, roc_auc=roc_auc)\n", "roc_display = roc_display.plot(ax=ax, marker=\"o\", markersize=4)\n", "ax.set(title=\"ROC\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is performing as expected (we of course know the data generating process, which is almost never the case in practical applications)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Decision Boundary\n", "\n", "Finally we will describe and plot the model decision boundary, which is the space defined as\n", "\n", "$$\\mathcal{B} = \\{(x_1, x_2) \\in \\mathbb{R}^2 \\: | \\: p(x_1, x_2) = 0.5\\}$$\n", "\n", "where $p$ denotes the probability of belonging to the class $y=1$ output by the model. To make this set explicit, we simply write the condition in terms of the model parametrization:\n", "\n", "$$0.5 = \\frac{1}{1 + \\exp(-(\\beta_0 + \\beta_1 x_1 + \\beta_2 x_2 + \\beta_{12} x_1x_2))}$$\n", "\n", "which implies\n", "\n", "$$0 = \\beta_0 + \\beta_1 x_1 + \\beta_2 x_2 + \\beta_{12} x_1x_2$$\n", "\n", "Solving for $x_2$ we get the formula\n", "\n", "$$x_2 = - \\frac{\\beta_0 + \\beta_1 x_1}{\\beta_2 + \\beta_{12}x_1}$$\n", "\n", "Observe that this curve is a hyperbola centered at the singularity point $x_1 = - \\beta_2 / \\beta_{12}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now plot the model decision boundary using a grid:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:35.264923164Z", "start_time": "2023-12-07T01:08:33.482535667Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: []\n" ] }, { "data": { "text/plain": "", "text/html": "\n\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "", "text/html": "\n
\n \n \n
\n " }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def make_grid():\n", " x1_grid = np.linspace(start=-9, stop=9, num=300)\n", " x2_grid = x1_grid\n", " x1_mesh, x2_mesh = np.meshgrid(x1_grid, x2_grid)\n", " x_grid = np.stack(arrays=[x1_mesh.flatten(), x2_mesh.flatten()], axis=1)\n", " return x1_grid, x2_grid, x_grid\n", "\n", "\n", "x1_grid, x2_grid, x_grid = make_grid()\n", "\n", "with model:\n", " # Create features on the grid.\n", " x_grid_ext = np.hstack(\n", " (\n", " np.ones((x_grid.shape[0], 1)),\n", " x_grid,\n", " (x_grid[:, 0] * x_grid[:, 1]).reshape(-1, 1),\n", " )\n", " )\n", " # set the observed variables\n", " pm.set_data({\"X\": x_grid_ext})\n", " # calculate pushforward values of `p`\n", " ppc_grid = pm.sample_posterior_predictive(idata, var_names=[\"p\"])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:36.326078269Z", "start_time": "2023-12-07T01:08:35.265185383Z" } }, "outputs": [], "source": [ "# grid of predictions\n", "grid_df = pd.DataFrame(x_grid, columns=[\"x1\", \"x2\"])\n", "grid_df[\"p\"] = ppc_grid.posterior_predictive.p.mean(dim=[\"chain\", \"draw\"])\n", "p_grid = grid_df.pivot(index=\"x2\", columns=\"x1\", values=\"p\").to_numpy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we compute the model decision boundary on the grid for visualization purposes." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:36.329374983Z", "start_time": "2023-12-07T01:08:36.327269790Z" } }, "outputs": [], "source": [ "def calc_decision_boundary(idata, x1_grid):\n", " # posterior mean of coefficients\n", " intercept = idata.posterior[\"b\"].sel(coeffs=\"Intercept\").mean().data\n", " b1 = idata.posterior[\"b\"].sel(coeffs=\"x1\").mean().data\n", " b2 = idata.posterior[\"b\"].sel(coeffs=\"x2\").mean().data\n", " b1b2 = idata.posterior[\"b\"].sel(coeffs=\"x1:x2\").mean().data\n", " # decision boundary equation\n", " return -(intercept + b1 * x1_grid) / (b2 + b1b2 * x1_grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We finally get the plot and the predictions on the test set:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:36.433475749Z", "start_time": "2023-12-07T01:08:36.329711467Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# data\n", "sns.scatterplot(\n", " x=x_test[:, 1].flatten(),\n", " y=x_test[:, 2].flatten(),\n", " hue=y_test,\n", " ax=ax,\n", ")\n", "\n", "# decision boundary\n", "ax.plot(x1_grid, calc_decision_boundary(idata, x1_grid), color=\"black\", linestyle=\":\")\n", "\n", "# grid of predictions\n", "ax.contourf(x1_grid, x2_grid, p_grid, alpha=0.3)\n", "\n", "ax.legend(title=\"y\", loc=\"center left\", bbox_to_anchor=(1, 0.5))\n", "ax.set(title=\"Model Decision Boundary\", xlim=(-9, 9), ylim=(-9, 9), xlabel=\"x1\", ylabel=\"x2\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we have computed the model decision boundary by using the mean of the posterior samples. However, we can generate a better (and more informative!) plot if we use the complete distribution (similarly for other metrics like accuracy and AUC)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "- [Bayesian Analysis with Python (Second edition) - Chapter 4](https://github.com/aloctavodia/BAP/blob/master/code/Chp4/04_Generalizing_linear_models.ipynb)\n", "- [Statistical Rethinking](https://xcelab.net/rm/statistical-rethinking/)" ] }, { "cell_type": "markdown", "source": [], "metadata": { "collapsed": false } }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Authors\n", "- Created by [Juan Orduz](https://github.com/juanitorduz).\n", "- Updated by [Benjamin T. Vincent](https://github.com/drbenvincent) to PyMC v4 in June 2022\n", "- Re-executed by [Benjamin T. Vincent](https://github.com/drbenvincent) with PyMC v5 in December 2022\n", "- Updated by [Christian Luhmann](https://github.com/cluhmann) in December 2023 ([pymc-examples#616](https://github.com/pymc-devs/pymc-examples/pull/616))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Watermark" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2023-12-07T01:08:36.441081239Z", "start_time": "2023-12-07T01:08:36.434152135Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed Dec 06 2023\n", "\n", "Python implementation: CPython\n", "Python version : 3.10.8\n", "IPython version : 8.4.0\n", "\n", "pytensor: 2.18.1\n", "\n", "pymc : 5.10.0\n", "seaborn : 0.12.2\n", "pandas : 1.4.3\n", "matplotlib: 3.5.2\n", "arviz : 0.14.0\n", "numpy : 1.24.2\n", "\n", "Watermark: 2.3.1\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p pytensor" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "pymc_env", "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": "3.10.6 | packaged by conda-forge | (main, Aug 22 2022, 20:41:22) [Clang 13.0.1 ]" }, "vscode": { "interpreter": { "hash": "d5f0cba85daacbebbd957da1105312a62c58952ca942f7218a10e4aa5f415a19" } } }, "nbformat": 4, "nbformat_minor": 2 }