{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 13. Models With Memory"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install -q numpyro arviz"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import warnings\n",
"\n",
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"\n",
"import jax.numpy as jnp\n",
"from jax import lax, random\n",
"from jax.scipy.special import expit\n",
"\n",
"import numpyro\n",
"import numpyro.distributions as dist\n",
"from numpyro.diagnostics import effective_sample_size\n",
"from numpyro.infer import MCMC, NUTS, Predictive\n",
"\n",
"if \"SVG\" in os.environ:\n",
" %config InlineBackend.figure_formats = [\"svg\"]\n",
"warnings.formatwarning = lambda message, category, *args, **kwargs: \"{}: {}\\n\".format(\n",
" category.__name__, message\n",
")\n",
"az.style.use(\"arviz-darkgrid\")\n",
"numpyro.set_platform(\"cpu\")\n",
"numpyro.set_host_device_count(4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
"
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" \n",
" \n",
" | \n",
" density | \n",
" pred | \n",
" size | \n",
" surv | \n",
" propsurv | \n",
"
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" \n",
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" 0 | \n",
" 10 | \n",
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" big | \n",
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" 1.0 | \n",
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" 2 | \n",
" 10 | \n",
" no | \n",
" big | \n",
" 7 | \n",
" 0.7 | \n",
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" 3 | \n",
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" 1.0 | \n",
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" 4 | \n",
" 10 | \n",
" no | \n",
" small | \n",
" 9 | \n",
" 0.9 | \n",
"
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" \n",
"
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"
"
],
"text/plain": [
" density pred size surv propsurv\n",
"0 10 no big 9 0.9\n",
"1 10 no big 10 1.0\n",
"2 10 no big 7 0.7\n",
"3 10 no big 10 1.0\n",
"4 10 no small 9 0.9"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reedfrogs = pd.read_csv(\"../data/reedfrogs.csv\", sep=\";\")\n",
"d = reedfrogs\n",
"d.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "16f40dccda04471cb23cf10bbedabc7a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2f4d0b2f45ed4dad8b40be5de3d864d2",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e9214d10c40749bdaeb0bd94a6692a2e",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c9df1c0e64b94baeb22a3961dede9dcc",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# make the tank cluster variable\n",
"d[\"tank\"] = jnp.arange(d.shape[0])\n",
"\n",
"dat = dict(S=d.surv.values, N=d.density.values, tank=d.tank.values)\n",
"\n",
"\n",
"# approximate posterior\n",
"def model(tank, N, S):\n",
" a = numpyro.sample(\"a\", dist.Normal(0, 1.5), sample_shape=tank.shape)\n",
" logit_p = a[tank]\n",
" numpyro.sample(\"S\", dist.Binomial(N, logits=logit_p), obs=S)\n",
"\n",
"\n",
"m13_1 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_1.run(random.PRNGKey(0), **dat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.3"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2ff9cb0094984a22b09d43672f305066",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4e5e0bf19668489ea49baf0a9b95e17c",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "579ac158e9424633aa38fcabd07aaec6",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "075b7c617d4b417da9687c879554e659",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def model(tank, N, S):\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma = numpyro.sample(\"sigma\", dist.Exponential(1))\n",
" a = numpyro.sample(\"a\", dist.Normal(a_bar, sigma), sample_shape=tank.shape)\n",
" logit_p = a[tank]\n",
" numpyro.sample(\"S\", dist.Binomial(N, logits=logit_p), obs=S)\n",
"\n",
"\n",
"m13_2 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_2.run(random.PRNGKey(0), **dat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.4"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n",
"UserWarning: For one or more samples the posterior variance of the log predictive densities exceeds 0.4. This could be indication of WAIC starting to fail. \n",
"See http://arxiv.org/abs/1507.04544 for details\n",
"UserWarning: For one or more samples the posterior variance of the log predictive densities exceeds 0.4. This could be indication of WAIC starting to fail. \n",
"See http://arxiv.org/abs/1507.04544 for details\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" rank | \n",
" waic | \n",
" p_waic | \n",
" d_waic | \n",
" weight | \n",
" se | \n",
" dse | \n",
" warning | \n",
" waic_scale | \n",
"
\n",
" \n",
" \n",
" \n",
" m13.2 | \n",
" 0 | \n",
" 200.729635 | \n",
" 21.306688 | \n",
" 0.000000 | \n",
" 1.000000e+00 | \n",
" 7.149090 | \n",
" 0.000000 | \n",
" True | \n",
" deviance | \n",
"
\n",
" \n",
" m13.1 | \n",
" 1 | \n",
" 215.670229 | \n",
" 26.160694 | \n",
" 14.940594 | \n",
" 1.154632e-13 | \n",
" 4.379542 | \n",
" 3.857661 | \n",
" True | \n",
" deviance | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" rank waic p_waic d_waic weight se \\\n",
"m13.2 0 200.729635 21.306688 0.000000 1.000000e+00 7.149090 \n",
"m13.1 1 215.670229 26.160694 14.940594 1.154632e-13 4.379542 \n",
"\n",
" dse warning waic_scale \n",
"m13.2 0.000000 True deviance \n",
"m13.1 3.857661 True deviance "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.compare(\n",
" {\"m13.1\": az.from_numpyro(m13_1), \"m13.2\": az.from_numpyro(m13_2)},\n",
" ic=\"waic\",\n",
" scale=\"deviance\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.5"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# extract NumPyro samples\n",
"post = m13_2.get_samples()\n",
"\n",
"# compute median intercept for each tank\n",
"# also transform to probability with logistic\n",
"d[\"propsurv.est\"] = expit(jnp.mean(post[\"a\"], 0))\n",
"\n",
"# display raw proportions surviving in each tank\n",
"plt.plot(jnp.arange(1, 49), d.propsurv, \"o\", alpha=0.5, zorder=3)\n",
"plt.gca().set(ylim=(-0.05, 1.05), xlabel=\"tank\", ylabel=\"proportion survival\")\n",
"plt.gca().set(xticks=[1, 16, 32, 48], xticklabels=[1, 16, 32, 48])\n",
"\n",
"# overlay posterior means\n",
"plt.plot(jnp.arange(1, 49), d[\"propsurv.est\"], \"ko\", mfc=\"w\")\n",
"\n",
"# mark posterior mean probability across tanks\n",
"plt.gca().axhline(y=jnp.mean(expit(post[\"a_bar\"])), c=\"k\", ls=\"--\", lw=1)\n",
"\n",
"# draw vertical dividers between tank densities\n",
"plt.gca().axvline(x=16.5, c=\"k\", lw=0.5)\n",
"plt.gca().axvline(x=32.5, c=\"k\", lw=0.5)\n",
"plt.annotate(\"small tanks\", (8, 0), ha=\"center\")\n",
"plt.annotate(\"medium tanks\", (16 + 8, 0), ha=\"center\")\n",
"plt.annotate(\"large tanks\", (32 + 8, 0), ha=\"center\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.6"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# show first 100 populations in the posterior\n",
"plt.subplot(xlim=(-3, 4), ylim=(0, 0.35), xlabel=\"log-odds survive\", ylabel=\"Density\")\n",
"for i in range(100):\n",
" x = jnp.linspace(-3, 4, 101)\n",
" plt.plot(\n",
" x,\n",
" jnp.exp(dist.Normal(post[\"a_bar\"][i], post[\"sigma\"][i]).log_prob(x)),\n",
" \"k\",\n",
" alpha=0.2,\n",
" )\n",
"plt.show()\n",
"\n",
"# sample 8000 imaginary tanks from the posterior distribution\n",
"idxs = random.randint(random.PRNGKey(1), (8000,), minval=0, maxval=1999)\n",
"sim_tanks = dist.Normal(post[\"a_bar\"][idxs], post[\"sigma\"][idxs]).sample(\n",
" random.PRNGKey(2)\n",
")\n",
"\n",
"# transform to probability and visualize\n",
"az.plot_kde(expit(sim_tanks), bw=0.3)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.7"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"a_bar = 1.5\n",
"sigma = 1.5\n",
"nponds = 60\n",
"Ni = jnp.repeat(jnp.array([5, 10, 25, 35]), repeats=15)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.8"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"a_pond = dist.Normal(a_bar, sigma).sample(random.PRNGKey(5005), (nponds,))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.9"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"dsim = pd.DataFrame(dict(pond=range(1, nponds + 1), Ni=Ni, true_a=a_pond))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.10"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n"
]
}
],
"source": [
"print(type(range(3)))\n",
"print(type(jnp.arange(3)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.11"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"dsim[\"Si\"] = dist.Binomial(dsim.Ni.values, logits=dsim.true_a.values).sample(\n",
" random.PRNGKey(0)\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.12"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"dsim[\"p_nopool\"] = dsim.Si / dsim.Ni"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.13"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0ff063349e744370afbc9988791a7c67",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "1fd9da563a954219bea47561ac36ebea",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "b3d0b10ebb5c4b779563a780d608b24a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a68246c63af444ae82b9ed9733dbaa96",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dat = dict(Si=dsim.Si.values, Ni=dsim.Ni.values, pond=dsim.pond.values - 1)\n",
"\n",
"\n",
"def model(pond, Ni, Si):\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma = numpyro.sample(\"sigma\", dist.Exponential(1))\n",
" a_pond = numpyro.sample(\n",
" \"a_pond\", dist.Normal(a_bar, sigma), sample_shape=pond.shape\n",
" )\n",
" logit_p = a_pond[pond]\n",
" numpyro.sample(\"Si\", dist.Binomial(Ni, logits=logit_p), obs=Si)\n",
"\n",
"\n",
"m13_3 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_3.run(random.PRNGKey(0), **dat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.14"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.5% 94.5% n_eff r_hat\n",
" a_bar 1.55 0.28 1.54 1.09 1.97 2640.58 1.00\n",
" a_pond[0] 3.01 1.36 2.89 0.89 5.11 2146.07 1.00\n",
" a_pond[1] 3.03 1.39 2.91 0.76 5.06 2518.07 1.00\n",
" a_pond[2] 0.74 0.89 0.71 -0.65 2.18 3881.46 1.00\n",
" a_pond[3] 3.01 1.31 2.90 1.14 5.21 2339.89 1.00\n",
" a_pond[4] 2.99 1.35 2.85 0.83 5.02 2502.75 1.00\n",
" a_pond[5] 2.97 1.35 2.82 0.85 5.04 2394.69 1.00\n",
" a_pond[6] -0.04 0.83 -0.03 -1.27 1.35 2422.02 1.00\n",
" a_pond[7] 3.01 1.36 2.89 0.88 5.06 1866.54 1.00\n",
" a_pond[8] 1.66 1.07 1.59 -0.10 3.25 3248.79 1.00\n",
" a_pond[9] 1.62 1.03 1.52 -0.08 3.12 2579.92 1.00\n",
"a_pond[10] -1.72 1.09 -1.64 -3.41 -0.03 3104.02 1.00\n",
"a_pond[11] -1.74 1.13 -1.63 -3.57 -0.09 2501.22 1.00\n",
"a_pond[12] 3.00 1.35 2.87 0.68 4.90 2192.21 1.00\n",
"a_pond[13] 3.05 1.39 2.88 0.85 5.25 2250.77 1.00\n",
"a_pond[14] -0.04 0.84 -0.03 -1.40 1.29 3785.95 1.00\n",
"a_pond[15] 1.51 0.75 1.46 0.33 2.67 3063.76 1.00\n",
"a_pond[16] 3.40 1.25 3.25 1.43 5.30 2503.37 1.00\n",
"a_pond[17] 2.24 0.94 2.16 0.72 3.66 3027.82 1.00\n",
"a_pond[18] 3.44 1.31 3.30 1.27 5.35 2444.29 1.00\n",
"a_pond[19] 0.59 0.69 0.57 -0.55 1.65 3086.36 1.00\n",
"a_pond[20] 1.55 0.80 1.50 0.26 2.74 2602.71 1.00\n",
"a_pond[21] 2.28 0.94 2.23 0.80 3.73 2771.97 1.00\n",
"a_pond[22] 0.58 0.64 0.57 -0.48 1.57 2846.15 1.00\n",
"a_pond[23] -1.07 0.70 -1.03 -2.23 -0.01 2388.72 1.00\n",
"a_pond[24] 3.43 1.29 3.29 1.38 5.28 1926.15 1.00\n",
"a_pond[25] 1.54 0.76 1.49 0.39 2.79 3489.25 1.00\n",
"a_pond[26] 3.43 1.30 3.26 1.43 5.53 1902.42 1.00\n",
"a_pond[27] 1.06 0.71 1.03 -0.10 2.12 2640.76 1.00\n",
"a_pond[28] 2.25 0.94 2.17 0.82 3.71 3871.51 1.00\n",
"a_pond[29] -0.21 0.63 -0.20 -1.24 0.77 3303.80 1.00\n",
"a_pond[30] -3.19 0.99 -3.06 -4.73 -1.70 1657.59 1.00\n",
"a_pond[31] -0.17 0.40 -0.16 -0.77 0.50 3286.27 1.00\n",
"a_pond[32] 0.82 0.43 0.81 0.10 1.47 3592.00 1.00\n",
"a_pond[33] 0.64 0.41 0.64 -0.05 1.25 2996.21 1.00\n",
"a_pond[34] -1.75 0.56 -1.70 -2.61 -0.84 3351.40 1.00\n",
"a_pond[35] 1.72 0.54 1.70 0.85 2.61 3152.36 1.00\n",
"a_pond[36] 0.82 0.43 0.81 0.22 1.60 2752.63 1.00\n",
"a_pond[37] 4.02 1.20 3.87 2.22 5.90 1909.16 1.00\n",
"a_pond[38] 4.01 1.16 3.88 2.18 5.62 2083.64 1.00\n",
"a_pond[39] 3.07 0.87 2.98 1.73 4.44 2040.58 1.00\n",
"a_pond[40] 3.06 0.88 2.98 1.65 4.35 1979.37 1.00\n",
"a_pond[41] 1.73 0.56 1.70 0.89 2.65 3205.70 1.00\n",
"a_pond[42] 3.06 0.87 2.97 1.70 4.40 2023.91 1.00\n",
"a_pond[43] 2.47 0.67 2.41 1.35 3.46 2418.37 1.00\n",
"a_pond[44] 3.07 0.85 2.97 1.74 4.36 2668.19 1.00\n",
"a_pond[45] -1.29 0.41 -1.26 -1.88 -0.62 3217.64 1.00\n",
"a_pond[46] 1.44 0.42 1.42 0.74 2.08 2950.12 1.00\n",
"a_pond[47] 0.23 0.33 0.22 -0.29 0.74 3520.28 1.00\n",
"a_pond[48] 0.58 0.36 0.57 -0.05 1.10 3651.30 1.00\n",
"a_pond[49] 3.33 0.81 3.26 2.05 4.60 2688.02 1.00\n",
"a_pond[50] 1.27 0.39 1.26 0.64 1.90 3220.04 1.00\n",
"a_pond[51] 3.35 0.83 3.30 2.10 4.65 2192.53 1.00\n",
"a_pond[52] 2.39 0.59 2.37 1.40 3.22 2908.23 1.00\n",
"a_pond[53] 0.71 0.35 0.70 0.14 1.28 3976.04 1.00\n",
"a_pond[54] 0.34 0.34 0.35 -0.18 0.91 3431.03 1.00\n",
"a_pond[55] 2.80 0.70 2.76 1.71 3.82 2395.95 1.00\n",
"a_pond[56] 2.10 0.54 2.06 1.28 2.97 2852.21 1.00\n",
"a_pond[57] 0.58 0.35 0.58 -0.00 1.13 3492.97 1.00\n",
"a_pond[58] 0.46 0.35 0.47 -0.02 1.07 3989.22 1.00\n",
"a_pond[59] 3.34 0.81 3.26 2.09 4.57 2403.33 1.00\n",
" sigma 1.87 0.26 1.86 1.46 2.25 877.63 1.00\n",
"\n",
"Number of divergences: 0\n"
]
}
],
"source": [
"m13_3.print_summary(0.89)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.15"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"post = m13_3.get_samples()\n",
"dsim[\"p_partpool\"] = jnp.mean(expit(post[\"a_pond\"]), 0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.16"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"dsim[\"p_true\"] = expit(dsim.true_a.values)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.17"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"nopool_error = (dsim.p_nopool - dsim.p_true).abs()\n",
"partpool_error = (dsim.p_partpool - dsim.p_true).abs()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.18"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(range(1, 61), nopool_error, label=\"nopool\", alpha=0.8)\n",
"plt.gca().set(xlabel=\"pond\", ylabel=\"absolute error\")\n",
"plt.scatter(\n",
" range(1, 61),\n",
" partpool_error,\n",
" label=\"partpool\",\n",
" s=50,\n",
" edgecolor=\"black\",\n",
" facecolor=\"none\",\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.19"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"dsim[\"nopool_error\"] = nopool_error\n",
"dsim[\"partpool_error\"] = partpool_error\n",
"nopool_avg = dsim.groupby(\"Ni\")[\"nopool_error\"].mean()\n",
"partpool_avg = dsim.groupby(\"Ni\")[\"partpool_error\"].mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.20"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "1aa01cf0b87349d889d271d2b1a3242d",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/2000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a2a0a669cc5b41a08f9988d42dcf9cae",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/2000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a3eff3961ab24edf85a68333f91566ed",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/2000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9d833c6daba646e1a701ba90f05fe488",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/2000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a_bar = 1.5\n",
"sigma = 1.5\n",
"nponds = 60\n",
"Ni = jnp.repeat(jnp.array([5, 10, 25, 35]), repeats=15)\n",
"a_pond = dist.Normal(a_bar, sigma).sample(random.PRNGKey(5006), (nponds,))\n",
"dsim = pd.DataFrame(dict(pond=range(1, nponds + 1), Ni=Ni, true_a=a_pond))\n",
"dsim[\"Si\"] = dist.Binomial(dsim.Ni.values, logits=dsim.true_a.values).sample(\n",
" random.PRNGKey(0)\n",
")\n",
"dsim[\"p_nopool\"] = dsim.Si / dsim.Ni\n",
"newdat = dict(Si=dsim.Si.values, Ni=dsim.Ni.values, pond=dsim.pond.values - 1)\n",
"m13_3new = MCMC(\n",
" NUTS(m13_3.sampler.model), num_warmup=1000, num_samples=1000, num_chains=4\n",
")\n",
"m13_3new.run(random.PRNGKey(0), **newdat)\n",
"\n",
"post = m13_3new.get_samples()\n",
"dsim[\"p_partpool\"] = jnp.mean(expit(post[\"a_pond\"]), 0)\n",
"dsim[\"p_true\"] = expit(dsim.true_a.values)\n",
"nopool_error = (dsim.p_nopool - dsim.p_true).abs()\n",
"partpool_error = (dsim.p_partpool - dsim.p_true).abs()\n",
"plt.scatter(range(1, 61), nopool_error, label=\"nopool\", alpha=0.8)\n",
"plt.gca().set(xlabel=\"pond\", ylabel=\"absolute error\")\n",
"plt.scatter(\n",
" range(1, 61),\n",
" partpool_error,\n",
" label=\"partpool\",\n",
" s=50,\n",
" edgecolor=\"black\",\n",
" facecolor=\"none\",\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.21"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ebfb5bd45d744df584607eb6e1b092c8",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2a53b34c765d4eb7abbf2b516a77feb8",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5777b61f605a4a4d900c94e6512e6f86",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2e062b1bdbce4b7ea1d5ae6fd436942e",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of divergences: 7\n"
]
}
],
"source": [
"chimpanzees = pd.read_csv(\"../data/chimpanzees.csv\", sep=\";\")\n",
"d = chimpanzees\n",
"d[\"treatment\"] = 1 + d.prosoc_left + 2 * d.condition\n",
"\n",
"dat_list = dict(\n",
" pulled_left=d.pulled_left.values,\n",
" actor=d.actor.values - 1,\n",
" block_id=d.block.values - 1,\n",
" treatment=d.treatment.values - 1,\n",
")\n",
"\n",
"\n",
"def model(actor, block_id, treatment, pulled_left=None, link=False):\n",
" # hyper-priors\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma_a = numpyro.sample(\"sigma_a\", dist.Exponential(1))\n",
" sigma_g = numpyro.sample(\"sigma_g\", dist.Exponential(1))\n",
" # adaptive priors\n",
" a = numpyro.sample(\"a\", dist.Normal(a_bar, sigma_a), sample_shape=(7,))\n",
" g = numpyro.sample(\"g\", dist.Normal(0, sigma_g), sample_shape=(6,))\n",
" b = numpyro.sample(\"b\", dist.Normal(0, 0.5), sample_shape=(4,))\n",
" logit_p = a[actor] + g[block_id] + b[treatment]\n",
" if link:\n",
" numpyro.deterministic(\"p\", expit(logit_p))\n",
" numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
"\n",
"\n",
"m13_4 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_4.run(random.PRNGKey(0), **dat_list)\n",
"print(\"Number of divergences:\", m13_4.get_extra_fields()[\"diverging\"].sum())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.22"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.0% 95.0% n_eff r_hat\n",
" a[0] -0.38 0.37 -0.38 -0.98 0.22 597.32 1.00\n",
" a[1] 4.67 1.29 4.49 2.78 6.67 948.84 1.00\n",
" a[2] -0.69 0.37 -0.70 -1.30 -0.07 566.81 1.00\n",
" a[3] -0.70 0.39 -0.69 -1.36 -0.09 512.00 1.00\n",
" a[4] -0.39 0.37 -0.39 -1.01 0.19 546.34 1.00\n",
" a[5] 0.56 0.38 0.56 -0.08 1.15 607.70 1.00\n",
" a[6] 2.09 0.47 2.10 1.26 2.81 757.08 1.00\n",
" a_bar 0.57 0.72 0.57 -0.61 1.74 1482.01 1.00\n",
" b[0] -0.11 0.30 -0.11 -0.59 0.37 614.87 1.00\n",
" b[1] 0.41 0.30 0.41 -0.07 0.93 623.30 1.00\n",
" b[2] -0.46 0.31 -0.45 -0.99 -0.01 574.28 1.00\n",
" b[3] 0.30 0.30 0.31 -0.18 0.81 620.34 1.00\n",
" g[0] -0.18 0.23 -0.13 -0.56 0.10 556.08 1.01\n",
" g[1] 0.05 0.20 0.03 -0.24 0.41 613.18 1.01\n",
" g[2] 0.06 0.19 0.03 -0.26 0.38 596.79 1.00\n",
" g[3] 0.02 0.19 0.01 -0.28 0.34 947.51 1.00\n",
" g[4] -0.03 0.19 -0.01 -0.35 0.27 933.78 1.00\n",
" g[5] 0.13 0.22 0.09 -0.21 0.47 485.27 1.00\n",
" sigma_a 2.03 0.65 1.93 1.06 2.96 1194.46 1.00\n",
" sigma_g 0.23 0.18 0.19 0.00 0.47 309.51 1.01\n",
"\n",
"Number of divergences: 7\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m13_4.print_summary()\n",
"post = m13_4.get_samples(group_by_chain=True)\n",
"az.plot_forest(post, combined=True, hdi_prob=0.89) # also plot\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.23"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ce50e5b3aac749009d018fc0c99aad6a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a2b6afe8815e424cb9acd7eaa279f128",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ef58b82922b1442895852a7aaef92e74",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a29c399b7c5e4dd0933836f1810e5679",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def model(actor, treatment, pulled_left):\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma_a = numpyro.sample(\"sigma_a\", dist.Exponential(1))\n",
" a = numpyro.sample(\"a\", dist.Normal(a_bar, sigma_a), sample_shape=(7,))\n",
" b = numpyro.sample(\"b\", dist.Normal(0, 0.5), sample_shape=(4,))\n",
" logit_p = a[actor] + b[treatment]\n",
" numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
"\n",
"\n",
"m13_5 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_5.run(\n",
" random.PRNGKey(14),\n",
" dat_list[\"actor\"],\n",
" dat_list[\"treatment\"],\n",
" dat_list[\"pulled_left\"],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.24"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" rank | \n",
" waic | \n",
" p_waic | \n",
" d_waic | \n",
" weight | \n",
" se | \n",
" dse | \n",
" warning | \n",
" waic_scale | \n",
"
\n",
" \n",
" \n",
" \n",
" m13.5 | \n",
" 0 | \n",
" 531.103967 | \n",
" 8.554003 | \n",
" 0.000000 | \n",
" 1.0 | \n",
" 19.200204 | \n",
" 0.000000 | \n",
" False | \n",
" deviance | \n",
"
\n",
" \n",
" m13.4 | \n",
" 1 | \n",
" 532.297533 | \n",
" 10.828377 | \n",
" 1.193565 | \n",
" 0.0 | \n",
" 19.411863 | \n",
" 1.873273 | \n",
" False | \n",
" deviance | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" rank waic p_waic d_waic weight se dse \\\n",
"m13.5 0 531.103967 8.554003 0.000000 1.0 19.200204 0.000000 \n",
"m13.4 1 532.297533 10.828377 1.193565 0.0 19.411863 1.873273 \n",
"\n",
" warning waic_scale \n",
"m13.5 False deviance \n",
"m13.4 False deviance "
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.compare(\n",
" {\"m13.4\": az.from_numpyro(m13_4), \"m13.5\": az.from_numpyro(m13_5)},\n",
" ic=\"waic\",\n",
" scale=\"deviance\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.25"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "b93a66d90e3145f3b4239eaa7e85b00e",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "06c1c27107e44f4cafbc37c94f64a7af",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ff4201d1e36b4f96b07949769c47cb80",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2c66a5d7b74c476f85ce14d34cff8119",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
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]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of divergences: 10\n"
]
},
{
"data": {
"text/plain": [
"{'m13.4': DeviceArray([-0.11273014, 0.41450262, -0.45547444, 0.30242366], dtype=float32),\n",
" 'm13.6': DeviceArray([-0.11401905, 0.3812172 , -0.44742095, 0.27241236], dtype=float32)}"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def model(actor, block_id, treatment, pulled_left):\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma_a = numpyro.sample(\"sigma_a\", dist.Exponential(1))\n",
" sigma_g = numpyro.sample(\"sigma_g\", dist.Exponential(1))\n",
" sigma_b = numpyro.sample(\"sigma_b\", dist.Exponential(1))\n",
" a = numpyro.sample(\"a\", dist.Normal(a_bar, sigma_a), sample_shape=(7,))\n",
" g = numpyro.sample(\"g\", dist.Normal(0, sigma_g), sample_shape=(6,))\n",
" b = numpyro.sample(\"b\", dist.Normal(0, sigma_b), sample_shape=(4,))\n",
" logit_p = a[actor] + g[block_id] + b[treatment]\n",
" numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
"\n",
"\n",
"m13_6 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_6.run(random.PRNGKey(16), **dat_list)\n",
"print(\"Number of divergences:\", m13_6.get_extra_fields()[\"diverging\"].sum())\n",
"{\n",
" \"m13.4\": jnp.mean(m13_4.get_samples()[\"b\"], 0),\n",
" \"m13.6\": jnp.mean(m13_6.get_samples()[\"b\"], 0),\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.26"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "92406c5eb23f40d3a217833df2a31a4e",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4e64f6997eaf4dac96a6f8d38c494e87",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "67f0cadebcbe4125b47cfcf0b0641348",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "1e5500f20edd4fb6bc42d34205fddc17",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.0% 95.0% n_eff r_hat\n",
" v 1.24 2.58 1.22 -2.75 4.49 4.12 1.59\n",
" x 43.93 349.99 0.01 -43.64 51.78 49.60 1.06\n",
"\n",
"Number of divergences: 201\n"
]
}
],
"source": [
"def model():\n",
" v = numpyro.sample(\"v\", dist.Normal(0, 3))\n",
" x = numpyro.sample(\"x\", dist.Normal(0, jnp.exp(v)))\n",
"\n",
"\n",
"m13_7 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_7.run(random.PRNGKey(0))\n",
"m13_7.print_summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.27"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "aded23913a6845e4816acf635c0ba397",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "98a9a208903d4b57998d44647eff36f5",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "792d6c4ac3654a22a6c9522075ea0f90",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "3dce091e26724d549f642957084a4795",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.0% 95.0% n_eff r_hat\n",
" v -0.04 3.00 -0.13 -4.85 5.01 2019.83 1.00\n",
" x 2.92 149.31 -0.00 -26.96 30.74 1719.69 1.00\n",
" z -0.02 0.98 -0.01 -1.66 1.57 1963.93 1.00\n",
"\n",
"Number of divergences: 0\n"
]
}
],
"source": [
"def model():\n",
" v = numpyro.sample(\"v\", dist.Normal(0, 3))\n",
" z = numpyro.sample(\"z\", dist.Normal(0, 1))\n",
" numpyro.deterministic(\"x\", z * jnp.exp(v))\n",
"\n",
"\n",
"m13_7nc = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_7nc.run(random.PRNGKey(0))\n",
"m13_7nc.print_summary(exclude_deterministic=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.28"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "71f7c86ed00645c9a8d518c48cfb88b6",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6dc6d03d838d4f2ca9a50d3585e99e0b",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "264b77e1e6cc4a18ad3d6f246171448d",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "90117906da6c41f7abf0cec243a8516a",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"DeviceArray(11, dtype=int32)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m13_4b = MCMC(\n",
" NUTS(m13_4.sampler.model, target_accept_prob=0.99),\n",
" num_warmup=500,\n",
" num_samples=500,\n",
" num_chains=4,\n",
")\n",
"m13_4b.run(random.PRNGKey(13), **dat_list)\n",
"jnp.sum(m13_4b.get_extra_fields()[\"diverging\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.29"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "af1617d99e164bdc8a0f50988e9389d3",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "165bd0558d434d669b3d1aeb2188d3d3",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "eb37291d3d664534a36e7566174b530d",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6b4575a617514d27bd43a78aadd1f701",
"version_major": 2,
"version_minor": 0
},
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" 0%| | 0/1000 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of divergences: 0\n"
]
}
],
"source": [
"def model(actor, block_id, treatment, pulled_left):\n",
" a_bar = numpyro.sample(\"a_bar\", dist.Normal(0, 1.5))\n",
" sigma_a = numpyro.sample(\"sigma_a\", dist.Exponential(1))\n",
" sigma_g = numpyro.sample(\"sigma_g\", dist.Exponential(1))\n",
" z = numpyro.sample(\"z\", dist.Normal(0, 1), sample_shape=(7,))\n",
" x = numpyro.sample(\"x\", dist.Normal(0, 1), sample_shape=(6,))\n",
" b = numpyro.sample(\"b\", dist.Normal(0, 0.5), sample_shape=(4,))\n",
" logit_p = a_bar + z[actor] * sigma_a + x[block_id] * sigma_g + b[treatment]\n",
" numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
"\n",
"\n",
"m13_4nc = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"m13_4nc.run(random.PRNGKey(16), **dat_list)\n",
"print(\"Number of divergences:\", m13_4nc.get_extra_fields()[\"diverging\"].sum())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.30"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" neff_c | \n",
" neff_nc | \n",
"
\n",
" \n",
" \n",
" \n",
" b[0] | \n",
" 615.0 | \n",
" 1095.0 | \n",
"
\n",
" \n",
" b[1] | \n",
" 623.0 | \n",
" 1072.0 | \n",
"
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" \n",
" b[2] | \n",
" 574.0 | \n",
" 904.0 | \n",
"
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" \n",
" b[3] | \n",
" 620.0 | \n",
" 987.0 | \n",
"
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" \n",
" a[0] | \n",
" 597.0 | \n",
" 382.0 | \n",
"
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" \n",
" a[1] | \n",
" 949.0 | \n",
" 1045.0 | \n",
"
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" \n",
" a[2] | \n",
" 567.0 | \n",
" 379.0 | \n",
"
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" \n",
" a[3] | \n",
" 512.0 | \n",
" 383.0 | \n",
"
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" a[4] | \n",
" 546.0 | \n",
" 369.0 | \n",
"
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" \n",
" a[5] | \n",
" 608.0 | \n",
" 367.0 | \n",
"
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" \n",
" a[6] | \n",
" 757.0 | \n",
" 640.0 | \n",
"
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" \n",
" g[0] | \n",
" 556.0 | \n",
" 1675.0 | \n",
"
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" \n",
" g[1] | \n",
" 613.0 | \n",
" 2287.0 | \n",
"
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" \n",
" g[2] | \n",
" 597.0 | \n",
" 1947.0 | \n",
"
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" \n",
" g[3] | \n",
" 948.0 | \n",
" 2062.0 | \n",
"
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" \n",
" g[4] | \n",
" 934.0 | \n",
" 2232.0 | \n",
"
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" \n",
" g[5] | \n",
" 485.0 | \n",
" 1443.0 | \n",
"
\n",
" \n",
" a_bar | \n",
" 1482.0 | \n",
" 429.0 | \n",
"
\n",
" \n",
" sigma_a | \n",
" 1194.0 | \n",
" 647.0 | \n",
"
\n",
" \n",
" sigma_g | \n",
" 310.0 | \n",
" 849.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" neff_c neff_nc\n",
"b[0] 615.0 1095.0\n",
"b[1] 623.0 1072.0\n",
"b[2] 574.0 904.0\n",
"b[3] 620.0 987.0\n",
"a[0] 597.0 382.0\n",
"a[1] 949.0 1045.0\n",
"a[2] 567.0 379.0\n",
"a[3] 512.0 383.0\n",
"a[4] 546.0 369.0\n",
"a[5] 608.0 367.0\n",
"a[6] 757.0 640.0\n",
"g[0] 556.0 1675.0\n",
"g[1] 613.0 2287.0\n",
"g[2] 597.0 1947.0\n",
"g[3] 948.0 2062.0\n",
"g[4] 934.0 2232.0\n",
"g[5] 485.0 1443.0\n",
"a_bar 1482.0 429.0\n",
"sigma_a 1194.0 647.0\n",
"sigma_g 310.0 849.0"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"neff_c = {\n",
" k: effective_sample_size(v)\n",
" for k, v in m13_4.get_samples(group_by_chain=True).items()\n",
"}\n",
"neff_nc = {\n",
" k: effective_sample_size(v)\n",
" for k, v in m13_4nc.get_samples(group_by_chain=True).items()\n",
"}\n",
"par_names = []\n",
"keys_c = [\"b\", \"a\", \"g\", \"a_bar\", \"sigma_a\", \"sigma_g\"]\n",
"keys_nc = [\"b\", \"z\", \"x\", \"a_bar\", \"sigma_a\", \"sigma_g\"]\n",
"for k in keys_c:\n",
" if jnp.ndim(neff_c[k]) == 0:\n",
" par_names += [k]\n",
" else:\n",
" par_names += [k + \"[{}]\".format(i) for i in range(neff_c[k].size)]\n",
"neff_c = jnp.concatenate([neff_c[k].reshape(-1) for k in keys_c])\n",
"neff_nc = jnp.concatenate([neff_nc[k].reshape(-1) for k in keys_nc])\n",
"neff_table = pd.DataFrame(dict(neff_c=neff_c, neff_nc=neff_nc))\n",
"neff_table.index = par_names\n",
"neff_table.round()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.31"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"chimp = 2\n",
"d_pred = dict(\n",
" actor=jnp.repeat(chimp, 4) - 1,\n",
" treatment=jnp.arange(4),\n",
" block_id=jnp.repeat(1, 4) - 1,\n",
")\n",
"p = Predictive(m13_4.sampler.model, m13_4.get_samples())(\n",
" random.PRNGKey(0), link=True, **d_pred\n",
")[\"p\"]\n",
"p_mu = jnp.mean(p, 0)\n",
"p_ci = jnp.percentile(p, q=jnp.array([5.5, 94.5]), axis=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.32"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'a': DeviceArray([ 0.17939359, 3.2472124 , -0.42817664, -0.3104607 ,\n",
" 0.09759563], dtype=float32),\n",
" 'a_bar': DeviceArray([ 0.57802844, 0.5723409 , 0.24400227, -0.14573385,\n",
" 0.60223407], dtype=float32),\n",
" 'b': DeviceArray([-0.35315567, 0.07911116, -0.7404461 , -0.29147664,\n",
" -0.1611932 ], dtype=float32),\n",
" 'g': DeviceArray([-0.06372303, -0.07348639, -0.07706347, -0.00371453,\n",
" 0.11766291], dtype=float32),\n",
" 'sigma_a': DeviceArray([2.015479 , 2.4767263, 3.077415 , 1.6289241, 1.7870352], dtype=float32),\n",
" 'sigma_g': DeviceArray([0.05992268, 0.21187922, 0.09104711, 0.2905614 , 0.26771992], dtype=float32)}"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"post = m13_4.get_samples()\n",
"{k: v.reshape(-1)[:5] for k, v in post.items()}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code 13.33"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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