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""" | ||
This scripts shows how to run BIRDS in parallel using MPI4PY. | ||
The parallelization is done across the number of parameters that are sampled | ||
in each epoch from the posterior candidate. | ||
As an example we consider the SIR model. | ||
""" | ||
import argparse | ||
import torch | ||
import networkx | ||
import normflows as nf | ||
import numpy as np | ||
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from birds.models.sir import SIR | ||
from birds.calibrator import Calibrator | ||
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def make_model(n_agents, n_timesteps, device): | ||
graph = networkx.watts_strogatz_graph(n_agents, 10, 0.1) | ||
return SIR(graph=graph, n_timesteps=n_timesteps, device=device) | ||
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def make_flow(): | ||
# Define flows | ||
K = 4 | ||
latent_size = 3 | ||
hidden_units = 64 | ||
hidden_layers = 2 | ||
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flows = [] | ||
for _ in range(K): | ||
flows += [ | ||
nf.flows.AutoregressiveRationalQuadraticSpline( | ||
latent_size, hidden_layers, hidden_units | ||
) | ||
] | ||
flows += [nf.flows.LULinearPermute(latent_size)] | ||
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# Set prior and q0 | ||
q0 = nf.distributions.DiagGaussian(3, trainable=False) | ||
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# Construct flow model | ||
flow = nf.NormalizingFlow(q0=q0, flows=flows) | ||
return flow | ||
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def train_flow(flow, model, true_data, n_epochs, n_samples_per_epoch): | ||
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# Define a prior | ||
prior = torch.distributions.MultivariateNormal(-2.0 * torch.ones(3), torch.eye(3)) | ||
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optimizer = torch.optim.AdamW(flow.parameters(), lr=1e-3) | ||
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# We set the regularisation weight to 10. | ||
w = 100 | ||
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# Note that we can track the progress of the training by using tensorboard. | ||
# tensorboard --logdir=runs | ||
calibrator = Calibrator( | ||
model=model, | ||
posterior_estimator=flow, | ||
prior=prior, | ||
data=true_data, | ||
optimizer=optimizer, | ||
w=w, | ||
n_samples_per_epoch=n_samples_per_epoch, | ||
) | ||
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# and we run for 500 epochs without early stopping. | ||
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calibrator.run(n_epochs=n_epochs, max_epochs_without_improvement=np.inf) | ||
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if __name__ == "__main__": | ||
# parse arguments from cli | ||
parser = argparse.ArgumentParser() | ||
parser.add_argument("--n_epochs", type=int, default=500) | ||
parser.add_argument("--n_agents", type=int, default=1000) | ||
parser.add_argument("--n_timesteps", type=int, default=100) | ||
parser.add_argument("--n_samples_per_epoch", type=int, default=5) | ||
parser.add_argument("--device_ids", type=list, default=["cpu"]) | ||
args = parser.parse_args() | ||
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# device of this rank | ||
device = args.device_ids[mpi_rank] | ||
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model = make_model(args.n_agents, args.n_timesteps, device=device) | ||
true_parameters = torch.tensor( | ||
[0.05, 0.05, 0.05], device=device | ||
).log10() # SIR takes log parameters | ||
true_data = model(true_parameters) | ||
flow = make_flow() | ||
train_flow(flow, model, true_data, args.n_epochs, args.n_samples_per_epoch) |