{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Marginal Likelihood Implementation\n", "\n", "The `gp.Marginal` class implements the more common case of GP regression: the observed data are the sum of a GP and Gaussian noise. `gp.Marginal` has a `marginal_likelihood` method, a `conditional` method, and a `predict` method. Given a mean and covariance function, the function $f(x)$ is modeled as,\n", "\n", "$$\n", "f(x) \\sim \\mathcal{GP}(m(x),\\, k(x, x')) \\,.\n", "$$\n", "\n", "The observations $y$ are the unknown function plus noise\n", "\n", "$$\n", "\\begin{aligned}\n", " \\epsilon &\\sim N(0, \\Sigma) \\\\\n", " y &= f(x) + \\epsilon \\\\\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The `.marginal_likelihood` method\n", "\n", "The unknown latent function can be analytically integrated out of the product of the GP prior probability with a normal likelihood. This quantity is called the marginal likelihood. \n", "\n", "$$\n", "p(y \\mid x) = \\int p(y \\mid f, x) \\, p(f \\mid x) \\, df\n", "$$\n", "\n", "The log of the marginal likelihood, $p(y \\mid x)$, is\n", "\n", "$$\n", "\\log p(y \\mid x) = \n", " -\\frac{1}{2} (\\mathbf{y} - \\mathbf{m}_x)^{T} \n", " (\\mathbf{K}_{xx} + \\boldsymbol\\Sigma)^{-1} \n", " (\\mathbf{y} - \\mathbf{m}_x)\n", " - \\frac{1}{2}\\log(\\mathbf{K}_{xx} + \\boldsymbol\\Sigma)\n", " - \\frac{n}{2}\\log (2 \\pi)\n", "$$\n", "\n", "$\\boldsymbol\\Sigma$ is the covariance matrix of the Gaussian noise. Since the Gaussian noise doesn't need to be white to be conjugate, the `marginal_likelihood` method supports either using a white noise term when a scalar is provided, or a noise covariance function when a covariance function is provided.\n", "\n", "The `gp.marginal_likelihood` method implements the quantity given above. Some sample code would be,\n", "\n", "```python\n", "import numpy as np\n", "import pymc3 as pm\n", "\n", "# A one dimensional column vector of inputs.\n", "X = np.linspace(0, 1, 10)[:,None]\n", "\n", "with pm.Model() as marginal_gp_model:\n", " # Specify the covariance function.\n", " cov_func = pm.gp.cov.ExpQuad(1, ls=0.1)\n", "\n", " # Specify the GP. The default mean function is `Zero`.\n", " gp = pm.gp.Marginal(cov_func=cov_func)\n", "\n", " # The scale of the white noise term can be provided,\n", " sigma = pm.HalfCauchy(\"sigma\", beta=5)\n", " y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=sigma)\n", " \n", " # OR a covariance function for the noise can be given\n", " # noise_l = pm.Gamma(\"noise_l\", alpha=2, beta=2)\n", " # cov_func_noise = pm.gp.cov.Exponential(1, noise_l) + pm.gp.cov.WhiteNoise(sigma=0.1)\n", " # y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=cov_func_noise)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The `.conditional` distribution\n", "\n", "The `.conditional` has an optional flag for `pred_noise`, which defaults to `False`. When `pred_noise=False`, the `conditional` method produces the predictive distribution for the underlying function represented by the GP. When `pred_noise=True`, the `conditional` method produces the predictive distribution for the GP plus noise. Using the same `gp` object defined above, \n", "\n", "```python\n", "# vector of new X points we want to predict the function at\n", "Xnew = np.linspace(0, 2, 100)[:, None]\n", "\n", "with marginal_gp_model:\n", " f_star = gp.conditional(\"f_star\", Xnew=Xnew)\n", " \n", " # or to predict the GP plus noise\n", " y_star = gp.conditional(\"y_star\", Xnew=Xnew, pred_noise=True)\n", "```\n", "If using an additive GP model, the conditional distribution for individual components can be constructed by setting the optional argument `given`. For more information on building additive GPs, see the main documentation page. For an example, see the Mauna Loa CO$_2$ notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making predictions\n", "\n", "The `.predict` method returns the conditional mean and variance of the `gp` given a `point` as NumPy arrays. The `point` can be the result of `find_MAP` or a sample from the trace. The `.predict` method can be used outside of a `Model` block. Like `.conditional`, `.predict` accepts `given` so it can produce predictions from components of additive GPs.\n", "\n", "```python\n", "# The mean and full covariance\n", "mu, cov = gp.predict(Xnew, point=trace[-1])\n", "\n", "# The mean and variance (diagonal of the covariance)\n", "mu, var = gp.predict(Xnew, point=trace[-1], diag=True)\n", "\n", "# With noise included\n", "mu, var = gp.predict(Xnew, point=trace[-1], diag=True, pred_noise=True)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Regression with white, Gaussian noise" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:12:49.739412Z", "start_time": "2017-09-04T05:12:48.977594Z" }, "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc3 as pm\n", "import scipy as sp\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:12:56.120937Z", "start_time": "2017-09-04T05:12:49.877135Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set the seed\n", "np.random.seed(1)\n", "\n", "n = 100 # The number of data points\n", "X = np.linspace(0, 10, n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n", "\n", "# Define the true covariance function and its parameters\n", "ℓ_true = 1.0\n", "η_true = 3.0\n", "cov_func = η_true**2 * pm.gp.cov.Matern52(1, ℓ_true)\n", "\n", "# A mean function that is zero everywhere\n", "mean_func = pm.gp.mean.Zero()\n", "\n", "# The latent function values are one sample from a multivariate normal\n", "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", "f_true = np.random.multivariate_normal(\n", " mean_func(X).eval(), cov_func(X).eval() + 1e-8 * np.eye(n), 1\n", ").flatten()\n", "\n", "# The observed data is the latent function plus a small amount of IID Gaussian noise\n", "# The standard deviation of the noise is `sigma`\n", "σ_true = 2.0\n", "y = f_true + σ_true * np.random.randn(n)\n", "\n", "## Plot the data and the unobserved latent function\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\")\n", "ax.plot(X, y, \"ok\", ms=3, alpha=0.5, label=\"Data\")\n", "ax.set_xlabel(\"X\")\n", "ax.set_ylabel(\"The true f(x)\")\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:13:02.744988Z", "start_time": "2017-09-04T05:12:56.122906Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [11/11 00:00<00:00 logp = -231.67, ||grad|| = 0.0013468]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "with pm.Model() as model:\n", " ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n", " η = pm.HalfCauchy(\"η\", beta=5)\n", "\n", " cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n", " gp = pm.gp.Marginal(cov_func=cov)\n", "\n", " σ = pm.HalfCauchy(\"σ\", beta=5)\n", " y_ = gp.marginal_likelihood(\"y\", X=X, y=y, noise=σ)\n", "\n", " mp = pm.find_MAP()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:13:02.780531Z", "start_time": "2017-09-04T05:13:02.747697Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ParameterValue at MAPTrue value
01.0046191.0
1η3.4889403.0
2σ1.9044902.0
\n", "
" ], "text/plain": [ " Parameter Value at MAP True value\n", "0 ℓ 1.004619 1.0\n", "1 η 3.488940 3.0\n", "2 σ 1.904490 2.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# collect the results into a pandas dataframe to display\n", "# \"mp\" stands for marginal posterior\n", "pd.DataFrame(\n", " {\n", " \"Parameter\": [\"ℓ\", \"η\", \"σ\"],\n", " \"Value at MAP\": [float(mp[\"ℓ\"]), float(mp[\"η\"]), float(mp[\"σ\"])],\n", " \"True value\": [ℓ_true, η_true, σ_true],\n", " }\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MAP values are close to their true values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `.conditional`" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:14:54.499149Z", "start_time": "2017-09-04T05:13:02.782161Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [2000/2000 22:47<00:00]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] } ], "source": [ "# new values from x=0 to x=20\n", "X_new = np.linspace(0, 20, 600)[:, None]\n", "\n", "# add the GP conditional to the model, given the new X values\n", "with model:\n", " f_pred = gp.conditional(\"f_pred\", X_new)\n", "\n", "# To use the MAP values, you can just replace the trace with a length-1 list with `mp`\n", "with model:\n", " pred_samples = pm.sample_posterior_predictive([mp], vars=[f_pred], samples=2000)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:14:57.904355Z", "start_time": "2017-09-04T05:14:54.505114Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the results\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "\n", "# plot the samples from the gp posterior with samples and shading\n", "from pymc3.gp.util import plot_gp_dist\n", "\n", "plot_gp_dist(ax, pred_samples[\"f_pred\"], X_new)\n", "\n", "# plot the data and the true latent function\n", "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\")\n", "plt.plot(X, y, \"ok\", ms=3, alpha=0.5, label=\"Observed data\")\n", "\n", "# axis labels and title\n", "plt.xlabel(\"X\")\n", "plt.ylim([-13, 13])\n", "plt.title(\"Posterior distribution over $f(x)$ at the observed values\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The prediction also matches the results from `gp.Latent` very closely. What about predicting new data points? Here we only predicted $f_*$, not $f_*$ + noise, which is what we actually observe.\n", "\n", "The `conditional` method of `gp.Marginal` contains the flag `pred_noise` whose default value is `False`. To draw from the *posterior predictive* distribution, we simply set this flag to `True`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:16:37.290226Z", "start_time": "2017-09-04T05:14:57.906373Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [2000/2000 22:37<00:00]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] } ], "source": [ "with model:\n", " y_pred = gp.conditional(\"y_pred\", X_new, pred_noise=True)\n", " y_samples = pm.sample_posterior_predictive([mp], vars=[y_pred], samples=2000)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:16:40.545932Z", "start_time": "2017-09-04T05:16:37.321425Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "\n", "# posterior predictive distribution\n", "plot_gp_dist(ax, y_samples[\"y_pred\"], X_new, plot_samples=False, palette=\"bone_r\")\n", "\n", "# overlay a scatter of one draw of random points from the\n", "# posterior predictive distribution\n", "plt.plot(X_new, y_samples[\"y_pred\"][800, :].T, \"co\", ms=2, label=\"Predicted data\")\n", "\n", "# plot original data and true function\n", "plt.plot(X, y, \"ok\", ms=3, alpha=1.0, label=\"observed data\")\n", "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\")\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylim([-13, 13])\n", "plt.title(\"posterior predictive distribution, y_*\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-08-07T22:22:33.216443Z", "start_time": "2017-08-07T22:22:33.210493Z" } }, "source": [ "Notice that the posterior predictive density is wider than the conditional distribution of the noiseless function, and reflects the predictive distribution of the noisy data, which is marked as black dots. The light colored dots don't follow the spread of the predictive density exactly because they are a single draw from the posterior of the GP plus noise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `.predict`\n", "\n", "We can use the `.predict` method to return the mean and variance given a particular `point`. Since we used `find_MAP` in this example, `predict` returns the same mean and covariance that the distribution of `.conditional` has." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-09-04T05:16:41.567782Z", "start_time": "2017-09-04T05:16:40.547616Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n", "/env/miniconda3/lib/python3.7/site-packages/theano/tensor/basic.py:6611: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " result[diagonal_slice] = x\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# predict\n", "mu, var = gp.predict(X_new, point=mp, diag=True)\n", "sd = np.sqrt(var)\n", "\n", "# draw plot\n", "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.gca()\n", "\n", "# plot mean and 2σ intervals\n", "plt.plot(X_new, mu, \"r\", lw=2, label=\"mean and 2σ region\")\n", "plt.plot(X_new, mu + 2 * sd, \"r\", lw=1)\n", "plt.plot(X_new, mu - 2 * sd, \"r\", lw=1)\n", "plt.fill_between(X_new.flatten(), mu - 2 * sd, mu + 2 * sd, color=\"r\", alpha=0.5)\n", "\n", "# plot original data and true function\n", "plt.plot(X, y, \"ok\", ms=3, alpha=1.0, label=\"observed data\")\n", "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\")\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylim([-13, 13])\n", "plt.title(\"predictive mean and 2σ interval\")\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pymc3 3.9.0\n", "numpy 1.18.5\n", "scipy 1.4.1\n", "pandas 1.0.4\n", "last updated: Fri Jun 12 2020 \n", "\n", "CPython 3.7.7\n", "IPython 7.15.0\n", "watermark 2.0.2\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }