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@dfm
Last active March 29, 2022 05:15
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Live coded notebooks for the GPRV workshop. Check out https://github.com/dfm/gprv for more self contained versions.
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{
"cells": [
{
"cell_type": "markdown",
"id": "f9198f9c-ceea-45fb-b76e-5997c96ca879",
"metadata": {},
"source": [
"# Introduction to `tinygp`"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "06019f61-2b83-40c1-b0f0-83733ae2138e",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/homebrew/Caskroom/miniforge/base/envs/tinygp/lib/python3.9/site-packages/jax/_src/lib/__init__.py:32: UserWarning: JAX on Mac ARM machines is experimental and minimally tested. Please see https://github.com/google/jax/issues/5501 in the event of problems.\n",
" warnings.warn(\"JAX on Mac ARM machines is experimental and minimally tested. \"\n"
]
}
],
"source": [
"import jax\n",
"\n",
"jax.config.update(\"jax_enable_x64\", True)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "aeec3ebc-d6fe-4366-b399-a7f3a1513350",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.2.0rc2.dev9+gcb8ebb3.d20220304\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import jaxopt\n",
"import jax.numpy as jnp\n",
"\n",
"import tinygp\n",
"\n",
"print(tinygp.__version__)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "617f8205-3ef5-4393-b01c-239bab30ed4b",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"random = np.random.default_rng(1)\n",
"x_grid = np.linspace(-2, 12, 1000)\n",
"x = np.append(\n",
" np.sort(random.uniform(0, 4, 500)),\n",
" np.sort(random.uniform(6, 10, 500)),\n",
")\n",
"yerr = 0.3\n",
"y = np.sin(2 * np.pi * x / (1.3 + 0.02 * (x - 5))) + random.normal(0, yerr, size=len(x))\n",
"plt.plot(x, y, \".k\");"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "262de24d-3614-4b5a-9316-f8cfdfc777e5",
"metadata": {},
"outputs": [],
"source": [
"kernel = 0.3 ** 2 * tinygp.kernels.Matern32(1.0) * tinygp.kernels.Cosine(1.3)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d5614c93-e38f-46a8-a26c-38c88cfe577a",
"metadata": {},
"outputs": [],
"source": [
"gp = tinygp.GaussianProcess(kernel, x, diag=yerr**2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "c4d4701e-b245-4ca5-8211-a40b79364247",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DeviceArray(-305.64092748, dtype=float64)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gp.log_probability(y)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b4ef1e7a-8aeb-47e8-af25-388514fbb245",
"metadata": {},
"outputs": [],
"source": [
"cond = gp.condition(y, x_grid)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "eceadb3f-56a1-4883-86fa-fbcc8d4c8a20",
"metadata": {},
"outputs": [],
"source": [
"mu = cond.gp.loc\n",
"std = np.sqrt(cond.gp.variance)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "29aa9e47-647e-4f24-99fa-41907e6cc2c0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, \".k\")\n",
"plt.plot(x_grid, mu)\n",
"plt.fill_between(x_grid, mu-std, mu+std, alpha=0.3);"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "fb98bf46-1122-48c2-acd5-8112a70995c2",
"metadata": {},
"outputs": [],
"source": [
"def build_gp(params):\n",
" kernel = jnp.exp(2 * params[\"log_amp\"])\n",
" kernel *= tinygp.kernels.quasisep.Matern32(jnp.exp(params[\"log_ell\"]))\n",
" kernel *= tinygp.kernels.quasisep.Cosine(jnp.exp(params[\"log_period\"]))\n",
" return tinygp.GaussianProcess(kernel, x, diag=yerr**2, mean=params[\"mean\"])\n",
"\n",
"params = {\n",
" \"log_amp\": jnp.log(0.3),\n",
" \"log_ell\": jnp.log(1.0),\n",
" \"log_period\": jnp.log(1.3),\n",
" \"mean\": jnp.zeros(()),\n",
"}\n",
"\n",
"@jax.jit\n",
"def loss(params):\n",
" return -build_gp(params).log_probability(y)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "fe36ab4e-eded-4bfb-836a-d886dfc4d8e6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(DeviceArray(305.64092748, dtype=float64),\n",
" {'log_amp': DeviceArray(-33.52697333, dtype=float64, weak_type=True),\n",
" 'log_ell': DeviceArray(-22.9551967, dtype=float64, weak_type=True),\n",
" 'log_period': DeviceArray(-61.0567007, dtype=float64, weak_type=True),\n",
" 'mean': DeviceArray(8.73596662, dtype=float64)})"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"jax.value_and_grad(loss)(params)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "db98a26b-06fe-4df9-a8cf-6eca342447ec",
"metadata": {},
"outputs": [],
"source": [
"opt = jaxopt.ScipyMinimize(fun=loss)\n",
"soln = opt.run(params)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "7d43b865-f6f0-444d-aab5-d5074e2294f8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DeviceArray(278.39507308, dtype=float64, weak_type=True)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"soln.state.fun_val"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "0042eecd-aaeb-4918-ab7b-1b969038cfb8",
"metadata": {},
"outputs": [],
"source": [
"gp = build_gp(soln.params)\n",
"cond = gp.condition(y, x_grid)\n",
"mu = cond.gp.loc\n",
"std = np.sqrt(cond.gp.variance)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "2e34d8c5-536f-42e1-8a36-d4695e3b2319",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, \".k\")\n",
"plt.plot(x_grid, mu)\n",
"plt.fill_between(x_grid, mu-std, mu+std, alpha=0.3);"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "25beaba0-0480-4aaa-b6b8-39078e670db0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"358 µs ± 6.96 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
}
],
"source": [
"loss(params).block_until_ready()\n",
"%timeit loss(params).block_until_ready()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "5cc8037c-49ab-4396-84de-d2b1eeba704f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"19.2 ms ± 2.39 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"loss(params).block_until_ready()\n",
"%timeit loss(params).block_until_ready()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "350cf75f-70ce-4b94-9f22-0cea3bdefe20",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.9.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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