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Flow Pocket
Flow Pocket trains an exactly invertible RealNVP density model on a curved five-armed pinwheel distribution. Eight affine coupling layers transform data into a standard Gaussian while tracking the exact change-of-variables log determinant.
The benchmark compares held-out negative log-likelihood and generated-sample MMD against a fitted full-covariance Gaussian and a five-component Gaussian mixture. It also measures forward/inverse cycle error to verify that the saved neural transform is numerically invertible.
Verified results
The flow trained on 40,000 samples and was evaluated on 10,000 independently generated samples.
| Model | Held-out NLL | Sample MMD |
|---|---|---|
| RealNVP | 2.2629 | 0.000236 |
| Five-component GMM | 2.5887 | 0.000436 |
| Full-covariance Gaussian | 3.3527 | 0.002800 |
The eight-coupling-layer RealNVP has 21,536 parameters. Its maximum absolute
forward/inverse reconstruction error over 2,000 held-out points was 5.78e-6.
MMD uses independently randomized 1,000-sample subsets and a shared median
distance bandwidth.
Reproduce
uv run python projects/flow-pocket/train.py
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