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Created August 9, 2023 15:01
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fit_flat_model_check_obs_noise.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "67bd240f-1763-4be8-90af-0bdf988fbdb1",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/nfs/scistore12/hpcgrp/jyeung/miniconda3/envs/gpjax-0.6.7/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
" from .autonotebook import tqdm as notebook_tqdm\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Checking GPU or CPU:\n",
"cpu\n",
"Checking done\n"
]
}
],
"source": [
"# import blackjax # terrible to install\n",
"import jax\n",
"import jax.numpy as jnp\n",
"import jax.random as jr\n",
"import jax.tree_util as jtu\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import tensorflow_probability.substrates.jax as tfp\n",
"from jax.config import config\n",
"\n",
"from jaxtyping import install_import_hook\n",
"with install_import_hook(\"gpjax\", \"beartype.beartype\"):\n",
" import gpjax as gpx\n",
"import gpjax as gpx\n",
"\n",
"import numpy as np\n",
"\n",
"# Enable Float64 for more stable matrix inversions.\n",
"config.update(\"jax_enable_x64\", True)\n",
"tfd = tfp.distributions\n",
"key = jr.PRNGKey(123)\n",
"plt.style.use(\n",
" \"https://raw.githubusercontent.com/JaxGaussianProcesses/GPJax/main/docs/examples/gpjax.mplstyle\"\n",
")\n",
"cols = mpl.rcParams[\"axes.prop_cycle\"].by_key()[\"color\"]\n",
"\n",
"\n",
"import datetime\n",
"jdate = datetime.datetime.now().date()\n",
"\n",
"# force CPU: save memory\n",
"jax.config.update('jax_platform_name', 'cpu')\n",
"\n",
"print(\"Checking GPU or CPU:\")\n",
"from jax.lib import xla_bridge\n",
"print(xla_bridge.get_backend().platform)\n",
"jax.default_backend()\n",
"jax.devices()\n",
"print(\"Checking done\")\n",
"\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "19e82416-a3e2-43fc-8a24-3afa58cc623a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 2., 0., 1., 0., 7., 7., 4., 1., 8., 4., 12., 8., 11.,\n",
" 10., 12., 18., 12., 15., 23., 21., 32., 18., 24., 12., 22., 27.,\n",
" 22., 20., 17., 19., 17., 14., 15., 14., 16., 8., 7., 5., 1.,\n",
" 5., 1., 4., 2., 0., 1., 0., 0., 0., 0., 1.]),\n",
" array([-2.590723 , -2.22452536, -1.85832773, -1.4921301 , -1.12593247,\n",
" -0.75973484, -0.39353721, -0.02733957, 0.33885806, 0.70505569,\n",
" 1.07125332, 1.43745095, 1.80364858, 2.16984622, 2.53604385,\n",
" 2.90224148, 3.26843911, 3.63463674, 4.00083437, 4.36703201,\n",
" 4.73322964, 5.09942727, 5.4656249 , 5.83182253, 6.19802016,\n",
" 6.5642178 , 6.93041543, 7.29661306, 7.66281069, 8.02900832,\n",
" 8.39520595, 8.76140359, 9.12760122, 9.49379885, 9.85999648,\n",
" 10.22619411, 10.59239174, 10.95858938, 11.32478701, 11.69098464,\n",
" 12.05718227, 12.4233799 , 12.78957753, 13.15577517, 13.5219728 ,\n",
" 13.88817043, 14.25436806, 14.62056569, 14.98676332, 15.35296096,\n",
" 15.71915859]),\n",
" <BarContainer object of 50 artists>)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 660x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# simulate some data\n",
"mean1 = 6\n",
"var1 = 9\n",
"obs_noise1 = jnp.sqrt(var1)\n",
"N = 500\n",
"\n",
"tmax = 1\n",
"xvec = jnp.linspace(0, tmax, N, endpoint = False).reshape(-1, 1)\n",
"yvec1 = mean1 + jax.random.normal(jr.PRNGKey(1), (N, 1)) * obs_noise1\n",
"\n",
"fig, axs = plt.subplots(1)\n",
"axs.hist(yvec1.reshape(-1), bins = 50, alpha = 0.5, label = 'yvec1')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "29c8f399-a842-4d45-814d-9b5986313912",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"9.792602878664741\n"
]
}
],
"source": [
"var1check = jnp.var(yvec1, ddof = 1)\n",
"print(var1check)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6ac4fd2d-8369-4ff0-996f-d0d1158ab4cb",
"metadata": {},
"outputs": [],
"source": [
"# fit constant kernel, check obs_noise\n",
"from dataclasses import dataclass\n",
"from gpjax.base.param import param_field\n",
"import tensorflow_probability.substrates.jax.bijectors as tfb\n",
"from gpjax.typing import (\n",
" Array,\n",
" ScalarFloat,\n",
")\n",
"from jaxtyping import Float, Integer\n",
"\n",
"@dataclass\n",
"class ConstantKernelToy(gpx.kernels.AbstractKernel):\n",
" r\"\"\"Constant kernel\"\"\"\n",
" sigma2: ScalarFloat = param_field(jnp.array(0.01), bijector=tfb.Softplus(), trainable = True)\n",
" name: str=\"Constant\"\n",
"\n",
" def __call__(self, x1: Float[Array, \" D\"], x2: Float[Array, \" D\"]) -> ScalarFloat:\n",
" r\"\"\"Compute constant kernel\n",
"\n",
" # from GPFlow: https://github.com/GPflow/GPflow/blob/develop/gpflow/kernels/statics.py\n",
" The Constant (aka Bias) kernel. Functions drawn from a GP with this kernel\n",
" are constant, i.e. f(x) = c, with c ~ N(0, sigma2). The kernel equation is\n",
"\n",
" k(x, y) = sigma2\n",
"\n",
" where:\n",
" sigma2 is the variance parameter.\n",
" \"\"\"\n",
" return(self.sigma2.squeeze())\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "8f994010-9a0b-44b6-9c91-b9831db2414e",
"metadata": {},
"outputs": [],
"source": [
"\n",
"Data = gpx.Dataset(X=xvec, y=yvec1)\n",
"\n",
"\n",
"# mean1prior = jnp.float64(4)\n",
"meanf = gpx.mean_functions.Constant()\n",
"\n",
"sigma2prior = jnp.float64(0.0000001)\n",
"# kernelwhite = gpx.kernels.White()\n",
"kernelconstant = ConstantKernelToy(sigma2 = sigma2prior)\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "13860f9d-c381-4880-bb26-ddbf23e1db53",
"metadata": {},
"outputs": [],
"source": [
"# draw samples\n",
"prior = gpx.Prior(mean_function=meanf, kernel=kernelconstant)\n",
"\n",
"# prior = gpx.Prior(mean_function=meanf, kernel=kernel)\n",
"xtest = jnp.float64(Data.X[:, 0]).reshape(-1, 1)\n",
"prior_dist = prior.predict(xtest)\n",
"prior_mean = prior_dist.mean()\n",
"prior_std = prior_dist.variance()\n",
"samples = prior_dist.sample(seed=key, sample_shape=(20,))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "210c591f-6dc6-4693-bce8-1b0539ed8039",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x14e16c91b550>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 660x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(xtest, samples.T, alpha=0.5, color=cols[0], marker='o')\n",
"ax.plot(xtest, prior_mean, color=cols[1], label=\"Prior mean\")\n",
"ax.fill_between(\n",
" xtest.flatten(),\n",
" prior_mean - prior_std,\n",
" prior_mean + prior_std,\n",
" alpha=0.3,\n",
" color=cols[1],\n",
" label=\"Prior variance\",\n",
")\n",
"ax.legend(loc=\"best\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "4959a8fd-21c4-4005-b703-bc21f91a5fcd",
"metadata": {},
"outputs": [],
"source": [
"likelihood = gpx.Gaussian(num_datapoints=Data.n)\n",
"posterior = prior * likelihood"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1c428802-ff48-469f-bf03-68d383045e67",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Running: 100%|██████████| 5000/5000 [00:46<00:00, 106.86it/s, Value=1295.02]\n"
]
}
],
"source": [
"\n",
"negative_mll = gpx.objectives.ConjugateMLL(negative=True)\n",
"negative_mll = jax.jit(negative_mll)\n",
"negative_mll(posterior, train_data=Data)\n",
"\n",
"import optax as ox\n",
"opt_posterior, history = gpx.fit(\n",
" model=posterior,\n",
" objective=negative_mll,\n",
" train_data=Data,\n",
" optim=ox.adam(learning_rate=0.01),\n",
" num_iters=5000,\n",
" safe=True,\n",
" key=key,\n",
")\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b3b09048-17d2-4656-923b-8f8b6d69ab74",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Text(0.5, 0, 'Training iteration'),\n",
" Text(0, 0.5, 'Negative marginal log likelihood')]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 660x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(history, color=cols[1])\n",
"ax.set(xlabel=\"Training iteration\", ylabel=\"Negative marginal log likelihood\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "24aa7198-f35f-4934-a66e-fb8de3d33242",
"metadata": {},
"outputs": [],
"source": [
"latent_dist = opt_posterior.predict(xtest, train_data=Data)\n",
"predictive_dist = opt_posterior.likelihood(latent_dist)\n",
"\n",
"predictive_mean = predictive_dist.mean()\n",
"predictive_std = predictive_dist.stddev()\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "eeb900f5-a19d-47fb-a0e8-6abc107fbe38",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x14e13a170b90>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 900x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(7.5, 2.5))\n",
"ax.plot(xvec, yvec1, \"x\", label=\"Observations\", color=cols[0], alpha=0.5)\n",
"ax.fill_between(\n",
" xtest.squeeze(),\n",
" predictive_mean - 2 * predictive_std,\n",
" predictive_mean + 2 * predictive_std,\n",
" alpha=0.2,\n",
" label=\"Two sigma\",\n",
" color=cols[1],\n",
")\n",
"ax.plot(\n",
" xtest,\n",
" predictive_mean - 2 * predictive_std,\n",
" linestyle=\"--\",\n",
" linewidth=1,\n",
" color=cols[1],\n",
")\n",
"ax.plot(\n",
" xtest,\n",
" predictive_mean + 2 * predictive_std,\n",
" linestyle=\"--\",\n",
" linewidth=1,\n",
" color=cols[1],\n",
")\n",
"\n",
"ax.plot(xtest, predictive_mean, label=\"Predictive mean\", color=cols[1])\n",
"ax.legend(loc=\"center left\", bbox_to_anchor=(0.975, 0.5))\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "e11bed6f-1682-403e-b904-0139788ebcfd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Real obs noise: 3.0\n",
"Estimated obs noise: 7.2693954\n"
]
}
],
"source": [
"print('Real obs noise: %s' % obs_noise1)\n",
"print('Estimated obs noise: %s' % opt_posterior.likelihood.obs_noise)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d5db864b-d8f3-4a67-b91d-d5477e0f084a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "37a10ff1-0c2d-4549-8c54-ab3f780334fa",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "gpjax-0.6.7",
"language": "python",
"name": "gpjax-0.6.7"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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