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@adrn
Created April 16, 2026 18:08
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{
"cells": [
{
"cell_type": "code",
"execution_count": 5,
"id": "3f57f219",
"metadata": {},
"outputs": [],
"source": [
"import jax\n",
"import jax.numpy as jnp\n",
"import jax.random as jr\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from scipy.stats import binned_statistic\n",
"\n",
"jax.config.update(\"jax_enable_x64\", True)\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "dd344962",
"metadata": {},
"source": [
"## Make fake data:\n",
"\n",
"Some fake data that looks like our abundance trends with z:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "3af857bf",
"metadata": {},
"outputs": [],
"source": [
"ndata = 10_000\n",
"\n",
"key = jr.key(42)\n",
"keys = jr.split(key, 4)\n",
"fake_z = jr.normal(keys[0], ndata) * 2.0\n",
"fake_mg_fe = jr.normal(keys[1], ndata) * 0.5 + 0.2 * jnp.abs(fake_z)\n",
"fake_mg_fe_err = jr.uniform(keys[2], ndata, minval=0.05, maxval=0.1)\n",
"fake_mg_fe += jr.normal(keys[3], ndata) * fake_mg_fe_err"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "ffc42e0b",
"metadata": {},
"outputs": [],
"source": [
"z_bins = np.arange(-5, 5 + 1e-3, 0.1)\n",
"\n",
"stat1 = binned_statistic(\n",
" fake_z, fake_mg_fe / fake_mg_fe_err**2, bins=z_bins, statistic=\"sum\"\n",
")\n",
"stat2 = binned_statistic(fake_z, 1 / fake_mg_fe_err**2, bins=z_bins, statistic=\"sum\")\n",
"\n",
"stat_std = binned_statistic(fake_z, fake_mg_fe, bins=z_bins, statistic='std')\n",
"stat_count = binned_statistic(fake_z, fake_mg_fe, bins=z_bins, statistic='count')\n",
"intrinsic_scatter = stat_std.statistic / np.sqrt(stat_count.statistic)\n",
"\n",
"mean_mg_fe = stat1.statistic / stat2.statistic\n",
"mean_mg_fe_err = np.sqrt(1 / stat2.statistic + intrinsic_scatter**2)\n",
"z_binc = 0.5 * (z_bins[1:] + z_bins[:-1])"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "1e7b68a9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '[Mg/Fe]')"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 296,
"width": 440
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 4))\n",
"plt.scatter(fake_z, fake_mg_fe, s=1, alpha=0.5)\n",
"plt.errorbar(\n",
" z_binc, mean_mg_fe, yerr=mean_mg_fe_err, color=\"C2\", linestyle=\"\", marker=\".\"\n",
")\n",
"plt.xlabel(\"z\")\n",
"plt.ylabel(\"[Mg/Fe]\")"
]
},
{
"cell_type": "markdown",
"id": "25fd8a68",
"metadata": {},
"source": [
"## Fit a mixture of sech^2 models:\n",
"\n",
"The ${\\rm sech}^2(z)$ profile is a common function used to model the vertical density distribution of stars in galactic disks. This might be TMI, but it comes from solving the Poisson equation assuming an isothermal and equilibrium distribution function for the stars in a thin disk. Real galactic disks are not isothermal or in equilibrium, and the Milky Way's vertical distribution typically requires a mixture of two or more profiles to get a good fit because of the thin/thick disk structure. \n",
"\n",
"So we'll try out a model to prodict [Mg/Fe] as a function of z that is a mixture of two ${\\rm sech}^2$ profiles. Defining $Y = [{\\rm Mg/Fe}]$, then the model is:\n",
"$$\n",
"Y(z) = \n",
" A_1 \\, \\textrm{sech}^2\\left(\\frac{z}{h_1}\\right) + \n",
" A_2 \\, \\textrm{sech}^2\\left(\\frac{z}{h_2}\\right)\n",
"$$\n",
"and a reminder that:\n",
"$$\n",
" \\textrm{sech}(x) = \\frac{1}{\\cosh(x)}\n",
"$$\n",
"\n",
"The parameters $A_1$ and $A_2$ are the amplitudes of the two components, and $h_1$ and $h_2$ are the scale heights."
]
},
{
"cell_type": "code",
"execution_count": 74,
"id": "8fe7a3f5",
"metadata": {},
"outputs": [],
"source": [
"def mixture_of_sech2(z, A1, A2, h1, h2):\n",
" return A1 * (1 / jnp.cosh(z / h1)) ** 2 + A2 * (1 / jnp.cosh(z / h2)) ** 2"
]
},
{
"cell_type": "markdown",
"id": "0a6443b8",
"metadata": {},
"source": [
"Let's plot what this looks like compared to a parabola in z for some choice of parameters (motivated by the rough thin/thick disk scale heights):"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "bea182e1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(-3.0, 1.0)]"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 296,
"width": 440
}
},
"output_type": "display_data"
}
],
"source": [
"z_grid = np.linspace(-3, 3, 1000)\n",
"\n",
"fig, ax = plt.subplots(figsize=(6, 4))\n",
"\n",
"ax.plot(\n",
" z_grid,\n",
" mixture_of_sech2(z_grid, -1.0, -0.8, 0.3, 0.8),\n",
" color=\"C1\",\n",
" label=\"mixture of sech^2\",\n",
")\n",
"ax.plot(z_grid, 5 * z_grid**2 - 2, color=\"C2\", label=\"parabola\")\n",
"ax.set(ylim=(-3, 1))"
]
},
{
"cell_type": "markdown",
"id": "d0585aa6",
"metadata": {},
"source": [
"### Infer the parameters of the mixture of sech^2 model using numpyro:\n",
"\n",
"So far, we have been using optimization to find the best-fit parameters of our models. But now we're going to introduce a new concept: Markov Chain Monte Carlo (MCMC) sampling. This is a powerful technique for inferring the _posterior probability distribution_ of model parameters given some data and a likelihood function. We can expand on this more next time we meet, but the power of this is that it gives us a way to quantify the uncertainty in our parameter estimates."
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "d45bfc74",
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"\n",
"import numpyro\n",
"import numpyro.distributions as dist\n",
"import numpyro.infer as infer"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a3d0c38d",
"metadata": {},
"outputs": [],
"source": [
"def model(data):\n",
" A1 = numpyro.sample(\"A1\", dist.TruncatedNormal(-1.0, 5.0, low=None, high=0.0))\n",
" A2 = numpyro.sample(\"A2\", dist.TruncatedNormal(-1.0, 5.0, low=None, high=0.0))\n",
" h1 = numpyro.sample(\"h1\", dist.Uniform(0.1, 1.0))\n",
" d_h2 = numpyro.sample(\"d_h2\", dist.Uniform(0.1, 1.0))\n",
" h2 = h1 + d_h2\n",
" offset = numpyro.sample(\"offset\", dist.Normal(0.0, 5.0))\n",
"\n",
" model_y = mixture_of_sech2(data[\"z\"], A1, A2, h1, h2) + offset\n",
"\n",
" numpyro.sample(\"obs\", dist.Normal(model_y, data[\"mg_fe_err\"]), obs=data[\"mg_fe\"])"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "10c563bd",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/67/2zgxpmyd2z183j4k6r33nf740000gr/T/ipykernel_96572/2713004518.py:1: UserWarning: There are not enough devices to run parallel chains: expected 2 but got 1. Chains will be drawn sequentially. If you are running MCMC in CPU, consider using `numpyro.set_host_device_count(2)` at the beginning of your program. You can double-check how many devices are available in your system using `jax.local_device_count()`.\n",
" sampler = infer.MCMC(\n",
"sample: 100%|██████████| 2000/2000 [00:00<00:00, 2063.65it/s, 15 steps of size 2.79e-01. acc. prob=0.93]\n",
"sample: 100%|██████████| 2000/2000 [00:00<00:00, 2052.69it/s, 3 steps of size 2.64e-01. acc. prob=0.91] \n"
]
}
],
"source": [
"sampler = infer.MCMC(\n",
" infer.NUTS(model),\n",
" num_warmup=1000,\n",
" num_samples=1000,\n",
" num_chains=2,\n",
")\n",
"data = {\"z\": z_binc, \"mg_fe\": mean_mg_fe, \"mg_fe_err\": mean_mg_fe_err}\n",
"sampler.run(jr.PRNGKey(0), data=data)\n",
"samples = sampler.get_samples()"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "2995c240",
"metadata": {},
"outputs": [
{
"data": {
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"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>hdi_3%</th>\n",
" <th>hdi_97%</th>\n",
" <th>mcse_mean</th>\n",
" <th>mcse_sd</th>\n",
" <th>ess_bulk</th>\n",
" <th>ess_tail</th>\n",
" <th>r_hat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>A1</th>\n",
" <td>-0.007</td>\n",
" <td>0.007</td>\n",
" <td>-0.020</td>\n",
" <td>-0.000</td>\n",
" <td>0.000</td>\n",
" <td>0.0</td>\n",
" <td>1243.0</td>\n",
" <td>808.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A2</th>\n",
" <td>-0.707</td>\n",
" <td>0.018</td>\n",
" <td>-0.743</td>\n",
" <td>-0.676</td>\n",
" <td>0.001</td>\n",
" <td>0.0</td>\n",
" <td>1188.0</td>\n",
" <td>1095.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>d_h2</th>\n",
" <td>0.990</td>\n",
" <td>0.010</td>\n",
" <td>0.972</td>\n",
" <td>1.000</td>\n",
" <td>0.000</td>\n",
" <td>0.0</td>\n",
" <td>1140.0</td>\n",
" <td>797.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>h1</th>\n",
" <td>0.990</td>\n",
" <td>0.010</td>\n",
" <td>0.971</td>\n",
" <td>1.000</td>\n",
" <td>0.000</td>\n",
" <td>0.0</td>\n",
" <td>1095.0</td>\n",
" <td>944.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>offset</th>\n",
" <td>0.739</td>\n",
" <td>0.012</td>\n",
" <td>0.718</td>\n",
" <td>0.761</td>\n",
" <td>0.000</td>\n",
" <td>0.0</td>\n",
" <td>1171.0</td>\n",
" <td>1087.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"A1 -0.007 0.007 -0.020 -0.000 0.000 0.0 1243.0 808.0 \n",
"A2 -0.707 0.018 -0.743 -0.676 0.001 0.0 1188.0 1095.0 \n",
"d_h2 0.990 0.010 0.972 1.000 0.000 0.0 1140.0 797.0 \n",
"h1 0.990 0.010 0.971 1.000 0.000 0.0 1095.0 944.0 \n",
"offset 0.739 0.012 0.718 0.761 0.000 0.0 1171.0 1087.0 \n",
"\n",
" r_hat \n",
"A1 1.0 \n",
"A2 1.0 \n",
"d_h2 1.0 \n",
"h1 1.0 \n",
"offset 1.0 "
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"idata = az.from_numpyro(sampler)\n",
"az.summary(idata)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "854a7f3b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '[Mg/Fe]')"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 296,
"width": 440
}
},
"output_type": "display_data"
}
],
"source": [
"z_grid = np.linspace(-5, 5, 1000)\n",
"\n",
"plt.figure(figsize=(6, 4))\n",
"plt.errorbar(\n",
" z_binc, mean_mg_fe, yerr=mean_mg_fe_err, color=\"C2\", linestyle=\"\", marker=\".\"\n",
")\n",
"\n",
"# Plot draws from the posterior predictive distribution:\n",
"for i in range(100):\n",
" A1 = samples[\"A1\"][i]\n",
" A2 = samples[\"A2\"][i]\n",
" h1 = samples[\"h1\"][i]\n",
" h2 = h1 + samples[\"d_h2\"][i]\n",
" y_pred = mixture_of_sech2(z_grid, A1, A2, h1, h2) + samples[\"offset\"][i]\n",
" plt.plot(z_grid, y_pred, color=\"C1\", alpha=0.1, marker='')\n",
"\n",
"plt.xlabel(\"z\")\n",
"plt.ylabel(\"[Mg/Fe]\")"
]
},
{
"cell_type": "markdown",
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"So this model clearly does a better job of fitting the simulated data than the parabola, but still misses a bit toward the edges. We might need to add another or even more components to the model to get an even better fit, but you could try using this model already on the real data."
]
},
{
"cell_type": "markdown",
"id": "529ab051",
"metadata": {},
"source": [
"## Gaussian mixture model\n",
"\n",
"Instead of summing sech^2 profiles, we could also just sum Gaussians. For now, I can't think of a good reason why this would be better than summing sech^2 profiles, so we can just stick with that for now. But if you wanted to explore / try it out, you could just replace the sech^2 function with a Gaussian mixture in the model definition and then re-run the inference. Something like:"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "5ba94167",
"metadata": {},
"outputs": [],
"source": [
"def mixture_of_gaussians(z, A1, A2, h1, h2):\n",
" return A1 * jnp.exp(-0.5 * (z / h1) ** 2) + A2 * jnp.exp(-0.5 * (z / h2) ** 2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a1ecc975",
"metadata": {},
"outputs": [],
"source": []
}
],
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