Research map / Learning theory and algorithms / Optimal transport
Distributional Sliced-Wasserstein and Applications to Generative Modeling
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use DSW-100 instead of SW-10000 | generative modeling · LSUN | FID: 46 vs over 60 | Helped |
| use DSW instead of SW at similar computational time | generative modeling · CIFAR10 | FID: about 20 units lower | Helped |
| use DSW instead of SW at similar computational time | generative modeling · MNIST | Wasserstein-2: roughly 10% lower | Helped |
| use DSW-10 instead of PRW-5 | generative modeling · MNIST | Wasserstein-2 | Helped |
| use DSW-10 instead of PRW-5 | generative modeling · MNIST | computational time: 30 times faster | Helped |
| use PRW with 50-dimensional subspace instead of DSW-10 | generative modeling · MNIST | Wasserstein-2: about 29% | Helped |
| use PRW with 50-dimensional subspace instead of DSW-10 | generative modeling · MNIST | computational cost: around 40 times slower | Hurt |
| increase the number of gradient steps used to update the direction distribution (ablation) | DSW · MNIST | generative quality | Helped |
| increase the number of gradient steps used to update the direction distribution (ablation) | DSW · MNIST | computational speed | Hurt |
| remove the direction-diversity regularization (λ_C = 0) (ablation) | DSW · MNIST | projection-direction overlap (A_N): A_N gets close to 1 | Hurt |
| increase direction-diversity regularization to λ_C = 1000 (ablation) | DSW · MNIST | projection-direction overlap (A_N): A_N is close to 0.1 | Helped |
| use DGSW instead of uniform-sampling GSW | generative modeling · generative modeling experiments described in the appendices | generative quality | Helped |
Closest papers by meaning
- Markovian Sliced Wasserstein Distances: Beyond Independent Projections (NeurIPS 2023 · similarity 0.93)
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- Sliced Wasserstein with Random-Path Projecting Directions (ICML 2024 · similarity 0.90)
- Tree-Sliced Wasserstein Distance with Nonlinear Projection (ICML 2025 · similarity 0.90)
- Towards Understanding Gradient Dynamics of the Sliced-Wasserstein Distance via Critical Point Analysis (ICML 2025 · similarity 0.89)
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