{
"cells": [
{
"cell_type": "markdown",
"id": "52600e30-6b0c-4bdb-a610-0f51cc432dc3",
"metadata": {},
"source": [
"# Purpose\n",
"* playing around with `numpyro.do` using the example from [Causal Inference 2: Illustrating Interventions via a Toy Example](https://www.inference.vc/causal-inference-2-illustrating-interventions-in-a-toy-example/)\n",
"\n",
"## Notes and links\n",
"* [Interventions `pyro.do`](https://nbviewer.jupyter.org/github/altdeep/causalML/blob/master/tutorials/1-introduction/3_GMM_lecture.ipynb#Interventions)\n",
"* [Numpyro `do`](http://num.pyro.ai/en/latest/handlers.html?highlight=handlers.do#do)\n",
"* [causalML/tutorials/](https://github.com/altdeep/causalML/tree/master/tutorials)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "f94eb842-9b7f-496c-87fa-e2bc7ebc2edb",
"metadata": {},
"outputs": [],
"source": [
"import jax\n",
"import jax.numpy as jnp\n",
"import numpy as np\n",
"import arviz as az\n",
"import numpyro\n",
"import numpyro.distributions as dist\n",
"from numpyro.infer.util import Predictive\n",
"import pandas as pd\n",
"from numpyro.infer import MCMC, NUTS\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "a0b0d066-0fa3-4426-b1ee-cfc552696492",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%reload_ext autoreload\n",
"%autoreload 2\n",
"%load_ext watermark"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "896e2613-29c2-4ae0-ba60-4f0f517912fa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python implementation: CPython\n",
"Python version : 3.8.11\n",
"IPython version : 7.18.1\n",
"\n",
"arviz : 0.11.2\n",
"jax : 0.2.19\n",
"matplotlib: 3.4.3\n",
"numpy : 1.20.3\n",
"pandas : 1.3.2\n",
"scipy : 1.6.2\n",
"numpyro : 0.7.2\n",
"\n",
"Compiler : GCC 7.5.0\n",
"OS : Linux\n",
"Release : 4.19.193-1-MANJARO\n",
"Machine : x86_64\n",
"Processor : \n",
"CPU cores : 4\n",
"Architecture: 64bit\n",
"\n"
]
}
],
"source": [
"%watermark -v -m -p arviz,jax,matplotlib,numpy,pandas,scipy,numpyro"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "133ad128-5130-4a54-b151-6cb01b7e4aa8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Git hash: aa5231eb37d37213751dcf9b64b44ae3058e56c4\n",
"\n",
"Git branch: master\n",
"\n"
]
}
],
"source": [
"%watermark -gb"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "c7f346d4-c4da-4313-8c65-736747177149",
"metadata": {},
"outputs": [],
"source": [
"rng_key = jax.random.PRNGKey(2)\n",
"keys = jax.random.split(rng_key, 6)\n",
"\n",
"num_warmup = 5000\n",
"num_samples = 100_000\n",
"num_chains = 1"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d85f361d-2b3d-415c-8058-cf8c924c45eb",
"metadata": {},
"outputs": [],
"source": [
"def conditional_continous(\n",
" dataf: pd.DataFrame, *, column_x: str, column_y: str, lower: float, upper: float\n",
"):\n",
" return dataf[((dataf[column_x] >= lower) & (dataf[column_x] <= upper))][\n",
" column_y\n",
" ].values"
]
},
{
"cell_type": "markdown",
"id": "4efe0c34-290d-46f1-a330-e36f07a22ce8",
"metadata": {},
"source": [
"## Define Models"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f82383b6-bba7-4d9a-af3d-2c7285033110",
"metadata": {},
"outputs": [],
"source": [
"def model_01():\n",
" x = numpyro.sample(\"x\", dist.Normal(0, 1))\n",
" _y = numpyro.sample(\"_y\", dist.Normal(0, 1))\n",
" y = numpyro.deterministic(\"y\", x + 1 + jnp.sqrt(3) * _y)\n",
" return x, y\n",
"\n",
"\n",
"def model_02():\n",
" _y = numpyro.sample(\"_y\", dist.Normal(0, 1))\n",
" _x = numpyro.sample(\"_x\", dist.Normal(0, 1))\n",
" y = numpyro.deterministic(\"y\", 1 + 2 * _y)\n",
" x = numpyro.deterministic(\"x\", (y - 1) / 4 + jnp.sqrt(3) * _x / 2)\n",
" return x, y\n",
"\n",
"\n",
"def model_03():\n",
" _z = numpyro.sample(\"_z\", dist.Normal(0, 1))\n",
" _y = numpyro.sample(\"_y\", dist.Normal(0, 1))\n",
" y = numpyro.deterministic(\"y\", _z + 1 + jnp.sqrt(3) * _y)\n",
" x = numpyro.deterministic(\"x\", _z)\n",
" return x, y"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "96107b53-c0cd-41c8-b70b-db40fcad4b0a",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"numpyro.render_model(model_01, (), render_distributions=True)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "fb0fda20-bf2a-4839-a609-e7b17070db68",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"numpyro.render_model(model_02, (), render_distributions=True)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "5086e6fa-ec42-40a5-99c2-414b77ba712e",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"numpyro.render_model(model_03, (), render_distributions=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "46aa50de-dccf-406f-ba72-53bebcc6dbf6",
"metadata": {},
"outputs": [],
"source": [
"data_joint = {}\n",
"lower_ = 2.9\n",
"upper_ = 3.0\n",
"intervention = 3.0"
]
},
{
"cell_type": "markdown",
"id": "e9f7d0a9-90b8-4820-a9ea-69ab66b9f0bb",
"metadata": {},
"source": [
"## Model 01"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "f8494e6e-0d3d-4567-9af5-007b9f52dbb7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"sample: 100%|██████████| 105000/105000 [00:38<00:00, 2742.28it/s, 3 steps of size 9.76e-01. acc. prob=0.90]\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" mean std median 5.0% 95.0% n_eff r_hat\n",
" _y 0.00 1.00 0.00 -1.65 1.62 102491.14 1.00\n",
" x -0.00 1.00 -0.01 -1.67 1.64 104170.39 1.00\n",
" y 1.00 2.00 1.01 -2.28 4.28 102543.25 1.00\n",
"\n",
"Number of divergences: 0\n"
]
}
],
"source": [
"kernel = NUTS(model_01)\n",
"mcmc = MCMC(\n",
" kernel, num_warmup=num_warmup, num_samples=num_samples, num_chains=num_chains\n",
")\n",
"mcmc.run(keys[0])\n",
"mcmc.print_summary(exclude_deterministic=False)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "73578fa5-9f98-46f1-bb8e-20c347e7a1fa",
"metadata": {},
"outputs": [],
"source": [
"ds_01 = az.from_numpyro(mcmc)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "a2beb885-132c-46c4-9f06-4178971113d3",
"metadata": {},
"outputs": [
{
"data": {
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\n",
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