66 lines
2.3 KiB
Python
66 lines
2.3 KiB
Python
import torch
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from pi0mini.flow import FlowMatching
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def _time_view(t: torch.Tensor, target: torch.Tensor) -> torch.Tensor:
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return t.reshape(t.shape[0], *([1] * (target.ndim - 1)))
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def test_training_batch_obeys_linear_path() -> None:
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flow = FlowMatching()
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action = torch.tensor([[[1.0, -2.0], [0.5, 3.0]], [[-1.0, 0.0], [2.5, -0.5]]])
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x_t, t, velocity = flow.training_batch(
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action, generator=torch.Generator().manual_seed(123)
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)
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noise = action - velocity
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expected = (1.0 - _time_view(t, action)) * noise + _time_view(t, action) * action
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torch.testing.assert_close(x_t, expected)
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assert x_t.shape == action.shape
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assert torch.all((t >= 0.0) & (t <= 1.0))
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def test_training_batch_is_reproducible() -> None:
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action = torch.randn(3, 16, 2)
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flow = FlowMatching()
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a = flow.training_batch(action, generator=torch.Generator().manual_seed(9))
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b = flow.training_batch(action, generator=torch.Generator().manual_seed(9))
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for left, right in zip(a, b):
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torch.testing.assert_close(left, right)
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def test_training_times_use_low_biased_shifted_beta() -> None:
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flow = FlowMatching()
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times = flow.sample_training_times(
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100_000,
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device="cpu",
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dtype=torch.float32,
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generator=torch.Generator().manual_seed(17),
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)
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assert torch.all(times >= 0.0)
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assert torch.all(times <= 0.999)
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# E[0.999 * (1 - Beta(1.5, 1))] = 0.3996. This also guards
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# against accidentally reverting to a uniform or high-time-biased draw.
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assert abs(float(times.mean()) - 0.3996) < 0.005
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def test_loss_is_velocity_mse() -> None:
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flow = FlowMatching()
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target = torch.tensor([[[1.0, -1.0], [0.0, 2.0]]])
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prediction = target + torch.tensor([[[1.0, 1.0], [2.0, 0.0]]])
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torch.testing.assert_close(flow.loss(prediction, target), torch.tensor(1.5))
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def test_exact_vector_field_integrates_to_action() -> None:
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flow = FlowMatching(inference_steps=10)
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action = torch.tensor([[[0.25, -0.5], [1.0, 2.0]], [[-2.0, 0.75], [0.0, 0.5]]])
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def exact_field(x_t: torch.Tensor, t: torch.Tensor) -> torch.Tensor:
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return (action.to(x_t) - x_t) / (1.0 - _time_view(t, x_t))
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sample = flow.sample(exact_field, tuple(action.shape), action.device,
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generator=torch.Generator().manual_seed(5))
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torch.testing.assert_close(sample, action, atol=1e-5, rtol=1e-5)
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