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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import jax.numpy as np\n", | |
"from jax import jit, grad, lax\n", | |
"from jax.config import config; config.update(\"jax_platform_name\", \"gpu\")\n", | |
"\n", | |
"import numpyro.distributions as dist\n", | |
"from numpyro.examples.datasets import SP500, load_dataset\n", | |
"from numpyro.handlers import sample\n", | |
"from numpyro.hmc_util import initialize_model\n", | |
"from numpyro.mcmc import hmc" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"_, fetch = load_dataset(SP500, shuffle=False)\n", | |
"dates, returns = fetch()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def potential_fn(x):\n", | |
" return ((x - returns) ** 2).mean()\n", | |
"\n", | |
"@jit\n", | |
"def loop(x):\n", | |
" def body_fn(i, x):\n", | |
" return x + 0.01 * grad(potential_fn)(x)\n", | |
"\n", | |
" return lax.fori_loop(0, 1000, body_fn, x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"36.1 ms ± 2.84 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" | |
] | |
} | |
], | |
"source": [ | |
"%%timeit\n", | |
"loop(np.array(0.))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"DeviceArray(-9989383., dtype=float32)" | |
] | |
}, | |
"execution_count": 24, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"loop(np.array(0.))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Here is the result in CPU." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"161 µs ± 1.81 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" | |
] | |
} | |
], | |
"source": [ | |
"%%timeit\n", | |
"loop(np.array(0.))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import torch\n", | |
"\n", | |
"def loop(x):\n", | |
" def body_fn(i, x):\n", | |
" y = potential_fn(x)\n", | |
" return x + 0.01 * torch.autograd.grad(y, x)[0]\n", | |
" \n", | |
" for i in range(1000):\n", | |
" x = body_fn(i, x)\n", | |
" return x" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"returns = torch.from_numpy(returns).float()\n", | |
"x = torch.tensor(0., requires_grad=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"344 ms ± 9.17 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" | |
] | |
} | |
], | |
"source": [ | |
"%%timeit\n", | |
"loop(x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"tensor(-9989380., grad_fn=<AddBackward0>)" | |
] | |
}, | |
"execution_count": 20, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"loop(x)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python (pydata)", | |
"language": "python", | |
"name": "pydata" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.8" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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