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@tillahoffmann
Created March 31, 2023 17:59
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "5a97891e",
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"from scipy import optimize\n",
"from tqdm.notebook import tqdm"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "878449cf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x13fba9930>,\n",
" <matplotlib.lines.Line2D at 0x13fba9990>,\n",
" <matplotlib.lines.Line2D at 0x13fb1eda0>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 921.6x691.2 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate `m` Gaussian process realizations each with `n` observations on a grid.\n",
"np.random.seed(0)\n",
"n = 128\n",
"m = 256\n",
"\n",
"# Marginal scale, squared-exponential length scale, and nugget variance.\n",
"sigma = 1\n",
"length_scale = 24\n",
"eps = 1e-6\n",
"\n",
"# Evaluate the cholesky decomposition, draw samples, and visualize a few of them.\n",
"x = np.arange(n)\n",
"cov = sigma ** 2 * np.exp(- (x[:, None] - x) ** 2 / (2 * length_scale ** 2)) \\\n",
" + eps * np.eye(n)\n",
"cholesky = np.linalg.cholesky(cov)\n",
"ys = np.random.normal(0, 1, (m, n)) @ cholesky.T\n",
"\n",
"plt.plot(x, ys[:3].T)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "49f4e9cb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 921.6x691.2 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def evaluate_basis_functions(n: int, p: int, offset: float = 0) -> None:\n",
" \"\"\"\n",
" Evaluate sinusoidal basis functions.\n",
" \n",
" Args:\n",
" n: Number of grid points.\n",
" p: Number of basis functions.\n",
" offset: Angular offset, e.g., pi / 2 for cosines.\n",
" \n",
" Returns:\n",
" Basis function matrix with shape `(p, n)`.\n",
" \"\"\"\n",
" theta = 2 * np.pi * np.arange(n) / n\n",
" return np.asarray([np.sin(offset + i * theta) for i in range(p)])\n",
"\n",
"\n",
"def fit_basis_functions(y: np.ndarray, basis_functions: np.ndarray) -> None:\n",
" \"\"\"\n",
" Minimize the MSE between the signal and a reconstruction using basis functions.\n",
" \n",
" Args:\n",
" y: Signal vector.\n",
" basis_functions: Basis function matrix with shape `(p, n)`.\n",
" \n",
" Returns:\n",
" Mapping comprising\n",
" \n",
" - fit: scipy fit object.\n",
" - yhat: Reconstructed signal.\n",
" - coefficients: Coefficients for each basis function.\n",
" - mse: Mean squared error.\n",
" \"\"\"\n",
" \n",
" fit = optimize.minimize(\n",
" lambda coefs: np.nanmean((coefs @ basis_functions - y) ** 2), \n",
" np.random.normal(0, 1e-3, basis_functions.shape[0]),\n",
" )\n",
" assert fit.success\n",
" yhat = fit.x @ basis_functions\n",
" mse = np.nanmean((yhat - y) ** 2)\n",
" return {\n",
" \"fit\": fit,\n",
" \"yhat\": yhat,\n",
" \"mse\": mse,\n",
" \"coefficients\": fit.x\n",
" }\n",
"\n",
"\n",
"def evaluate_example_basis_functions(n: int, p: int) -> dict:\n",
" \"\"\"\n",
" Construct `2 * p` example basis functions with `n` elements.\n",
" \"\"\"\n",
" sin = evaluate_basis_functions(n, 2 * p)\n",
" \n",
" sinp = sin.copy()\n",
" sinp[0] = 1\n",
" \n",
" return {\n",
" \"sin\": sin,\n",
" \"sin+\": sinp,\n",
" \"cos\": evaluate_basis_functions(n, 2 * p, offset=np.pi / 2),\n",
" \"sin-cos\": np.vstack([\n",
" evaluate_basis_functions(n, p),\n",
" evaluate_basis_functions(n, p, offset=np.pi / 2),\n",
" ]),\n",
" }\n",
"\n",
"\n",
"idx = 3\n",
"fig, axes = plt.subplots(1, 2, sharex=True, sharey=True)\n",
"\n",
"p = 5\n",
"for ax, padding in zip(axes, [0, 16]):\n",
" y = np.pad(ys[idx], padding, constant_values=np.nan)\n",
" _x = np.arange(y.size) - padding\n",
" ax.plot(_x, y, color=\"k\", lw=2, zorder=9, ls=\"--\")\n",
" \n",
" for key, basis_functions in evaluate_example_basis_functions(y.size, p).items():\n",
" fit = fit_basis_functions(y, basis_functions)\n",
" ax.plot(_x, fit[\"yhat\"], label=f\"{key}: {fit['mse']:.3f}\", alpha=0.8)\n",
" ax.legend(fontsize=\"small\")\n",
" ax.set_xlabel(\"$x$\")\n",
" ax.set_ylabel(\"$y$\")\n",
" ax.set_title(f\"{2 * p} bases; padding = {padding}\")\n",
" ax.axvline(0, color=\"gray\", ls=\":\")\n",
" ax.axvline(n - 1, color=\"gray\", ls=\":\")\n",
" ax.axhline(0, color=\"gray\", ls=\":\")\n",
" ax.set_ylim(top=2)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "96d12581",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "f37d9c1ff2bb4ca88a85ce9f37253f70",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/8 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do the reconstruction for variable amounts of padding and record the MSEs. We pad on both sides\n",
"# rather than just on the right because it helps the sin-transform pick up non-zero GP values near the\n",
"# boundary.\n",
"\n",
"paddings = 2 * np.arange(8)\n",
"mses = {}\n",
"p = 5\n",
"for padding in tqdm(paddings):\n",
" example_basis_functions = evaluate_example_basis_functions(n + 2 * padding, p)\n",
" for y in ys:\n",
" y = np.pad(y, padding, constant_values=np.nan)\n",
" for key, basis_functions in example_basis_functions.items():\n",
" assert basis_functions.shape[0] == 2 * p, \"expected 2 * p basis functions\"\n",
" fit = fit_basis_functions(y, basis_functions)\n",
" mses.setdefault(key, []).append(fit[\"mse\"])\n",
" \n",
"mses = {key: np.reshape(value, (paddings.size, m)) for key, value in mses.items()}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "a2cb00db",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 921.6x691.2 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"for key, value in mses.items():\n",
" m = value.mean(axis=1)\n",
" s = value.std(axis=1) / np.sqrt(value.shape[1] - 1)\n",
" line, = ax.plot(paddings, m, label=key)\n",
" ax.fill_between(paddings, m - s, m + s, color=line.get_color(), alpha=0.2)\n",
" \n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"padding\")\n",
"ax.set_ylabel(\"mse\")\n",
"fig.tight_layout()"
]
}
],
"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": "3.10.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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