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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Sliced-Wasserstein Flows: Nonparametric Generative Modeling via Optimal Transport and Diffusions

ICML 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Flow matching and flow sampling · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Run SWF to transport particles toward the target distributionSWF · 2D Gaussian mixture modelsliced Wasserstein costHelped
Reuse training-stage projected quantile functions for new particlesSWF · 2D Gaussian mixture model test stagesliced Wasserstein costHurt
Increase the entropy regularization parameter λ (ablation)SWF · 2D Gaussian mixture modelparticle spreadHelped
Transport samples in autoencoder bottleneck spaceSWF · MNIST bottleneck featuressample qualityHelped
Transport samples in autoencoder bottleneck spaceSWF · CelebA bottleneck featuressample qualityHelped
Reduce dimension using an autoencoder instead of operating in the original image space (ablation)SWF · MNISTconvergence speedHelped
Reduce dimension using an autoencoder instead of operating in the original image space (ablation)SWF · CelebAconvergence speedHelped
Keep projection directions fixed throughout iterations (ablation)SWF · MNIST original image spacesample qualityHurt
Resample projection directions at each iteration (ablation)SWF · high-dimensional image dataconvergence speedHelped

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