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@adrn
Created November 8, 2024 20:13
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2024-09-26T21:27:29.522420Z",
"iopub.status.busy": "2024-09-26T21:27:29.522209Z",
"iopub.status.idle": "2024-09-26T21:27:30.439956Z",
"shell.execute_reply": "2024-09-26T21:27:30.439660Z",
"shell.execute_reply.started": "2024-09-26T21:27:29.522394Z"
}
},
"outputs": [],
"source": [
"from dataclasses import dataclass\n",
"from functools import partial\n",
"from typing import Callable, Any\n",
"\n",
"import jax\n",
"import jax.numpy as jnp\n",
"\n",
"jax.config.update(\"jax_enable_x64\", True)\n",
"import diffrax\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-09-26T21:27:30.531003Z",
"iopub.status.busy": "2024-09-26T21:27:30.530852Z",
"iopub.status.idle": "2024-09-26T21:27:30.536114Z",
"shell.execute_reply": "2024-09-26T21:27:30.535661Z",
"shell.execute_reply.started": "2024-09-26T21:27:30.530992Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Array([1., 0., 0.], dtype=float64)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@dataclass\n",
"class BasePotential:\n",
" def __post_init__(self):\n",
" self.potential = jax.jit(self._potential)\n",
" self.gradient = jax.jit(jax.grad(self.potential, argnums=1))\n",
"\n",
"\n",
"@dataclass\n",
"class ConstantPotential(BasePotential):\n",
" def _potential(self, t, x):\n",
" return 0.0\n",
"\n",
"\n",
"@dataclass\n",
"class ConstantAccelerationPotential(BasePotential):\n",
" k: float | jax.Array\n",
"\n",
" def _potential(self, t, x):\n",
" return jnp.sum(self.k * x)\n",
"\n",
"\n",
"@dataclass\n",
"class KeplerPotential(BasePotential):\n",
" k: float\n",
"\n",
" def _potential(self, t, x):\n",
" return -self.k / jnp.sqrt(jnp.sum(x**2))\n",
"\n",
"\n",
"@dataclass\n",
"class PlummerPotential(BasePotential):\n",
" k: float\n",
" b: float\n",
"\n",
" def _potential(self, t, x):\n",
" r = jnp.sqrt(jnp.sum(x**2))\n",
" return -self.k / jnp.sqrt(r**2 + self.b**2)\n",
"\n",
"\n",
"potential = ConstantAccelerationPotential(k=jnp.array([1., 0, 0]))\n",
"# potential = KeplerPotential(1.)\n",
"potential.gradient(1., jnp.array([10., 0, 0]))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def w_dot(potential: BasePotential, t: float, w: jax.Array) -> jax.Array:\n",
" ndim = w.shape[0] // 2\n",
" accel = -potential.gradient(t, w[:ndim])\n",
" return jnp.concatenate((w[ndim:], accel))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def compute_orbit(\n",
" potential: BasePotential,\n",
" w0: jax.Array,\n",
" solver: diffrax.AbstractSolver = diffrax.Dopri5(),\n",
" **kwargs: Any,\n",
") -> jax.Array:\n",
" term = diffrax.ODETerm(lambda t, w, _: w_dot(potential, t, w))\n",
" sol = diffrax.diffeqsolve(term, y0=w0, solver=solver, **kwargs)\n",
" return sol.ys\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"true_potential = PlummerPotential(k=1., b=1.)\n",
"true_t1 = 10.0\n",
"dt0 = 0.1\n",
"\n",
"data0 = {\"w1\": jnp.array([1.0, 0, 0, 0.2]), \"w2\": jnp.array([1.0, 0, 0, 0.1])}\n",
"true_orbits = {}\n",
"data = {}\n",
"for k, w0 in data0.items():\n",
" true_orbits[k] = compute_orbit(\n",
" true_potential,\n",
" w0,\n",
" solver=diffrax.Dopri5(),\n",
" t0=0.,\n",
" t1=true_t1,\n",
" dt0=dt0,\n",
" saveat=diffrax.SaveAt(ts=jnp.linspace(0, true_t1, 128)),\n",
" )\n",
" data[k] = true_orbits[k][-1]\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 352,
"width": 712
}
},
"output_type": "display_data"
}
],
"source": [
"compare_potential = PlummerPotential(k=1.5, b=1.)\n",
"\n",
"fig, axes = plt.subplots(1, 2, figsize=(10, 5), layout=\"tight\")\n",
"\n",
"ax = axes[0]\n",
"for k, orbit in true_orbits.items():\n",
" ax.plot(orbit[:, 0], orbit[:, 1])\n",
" ax.scatter(data[k][0], data[k][1])\n",
"\n",
"ax = axes[1]\n",
"for k in true_orbits:\n",
" compare_orbit = compute_orbit(\n",
" compare_potential,\n",
" data[k],\n",
" solver=diffrax.Dopri5(),\n",
" t0=true_t1,\n",
" t1=0,\n",
" dt0=-dt0,\n",
" saveat=diffrax.SaveAt(ts=jnp.linspace(true_t1, 0, 128)),\n",
" )\n",
" ax.plot(compare_orbit[:, 0], compare_orbit[:, 1])\n",
" ax.scatter(data[k][0], data[k][1])"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"@partial(jax.jit, static_argnums=(1, ))\n",
"def ln_likelihood(\n",
" pars: dict[str, Any],\n",
" PotentialClass: type[BasePotential],\n",
" data: dict[str, jax.Array],\n",
" t1: float,\n",
" dt0: float,\n",
" std_x: float,\n",
" std_v: float,\n",
" solver: diffrax.AbstractSolver = diffrax.Dopri5(),\n",
") -> float:\n",
"\n",
" potential = PotentialClass(**pars)\n",
" w1 = compute_orbit(potential, data[\"w1\"], solver, t0=0.0, t1=t1, dt0=dt0)[0]\n",
" w2 = compute_orbit(potential, data[\"w2\"], solver, t0=0.0, t1=t1, dt0=dt0)[0]\n",
"\n",
" ndim = w1.shape[0] // 2\n",
" ll_x = jnp.sum((w1[:ndim] - w2[:ndim])**2 / std_x**2)\n",
" ll_v = jnp.sum((w1[ndim:] - w2[ndim:])**2 / std_v**2)\n",
" return -0.5 * (ll_x + ll_v)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Array(-5000.00001512, dtype=float64)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ln_likelihood(\n",
" {\"k\": true_potential.k, \"b\": true_potential.b},\n",
" PlummerPotential,\n",
" data,\n",
" t1=-true_t1,\n",
" dt0=-0.1,\n",
" std_x=1e-3,\n",
" std_v=1e-3\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [],
"source": [
"func = partial(\n",
" ln_likelihood,\n",
" PotentialClass=PlummerPotential,\n",
" data=data,\n",
" t1=-true_t1,\n",
" dt0=-0.1,\n",
" std_x=0.05,\n",
" std_v=0.05\n",
")\n",
"func = jax.vmap(func, in_axes=({\"k\": 0, \"b\": 0}, ))"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"k_grid1d = jnp.linspace(0.1, 5., 128)\n",
"b_grid1d = jnp.linspace(0.1, 5., 128)\n",
"k_grid, b_grid = jnp.array(jnp.meshgrid(k_grid1d, b_grid1d)).reshape(2, -1)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'b')"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 440,
"width": 440
}
},
"output_type": "display_data"
}
],
"source": [
"lls = func({\"k\": k_grid, \"b\": b_grid}).reshape(k_grid1d.shape + b_grid1d.shape)\n",
"plt.pcolormesh(k_grid1d, b_grid1d, jnp.exp(lls - lls.max()), shading=\"auto\")\n",
"plt.axvline(true_potential.k, color=\"tab:blue\", ls=\"--\")\n",
"plt.axhline(true_potential.b, color=\"tab:blue\", ls=\"--\")\n",
"plt.xlabel(\"k\")\n",
"plt.ylabel(\"b\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"gist_info": {
"create_date": "2024-09-26T21:27:54Z",
"gist_id": "17c4d9f829ba5cb31f24849c2022e40a",
"gist_url": "https://gist.github.com/adrn/17c4d9f829ba5cb31f24849c2022e40a"
},
"kernelspec": {
"display_name": ".venv",
"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": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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