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Optimizing Distributional Geometry Alignment with Optimal Transport for Generative Dataset Distillation
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Reformulates generative dataset distillation as optimal transport distance minimization, using OT-guided diffusion sampling, IPC-aware label-image-aligned soft relabeling, and batch-wise Sinkhorn logit matching to reach state-of-the-art accuracy on ImageNet-1K and other datasets.
Problem
Large-scale dataset distillation methods match only global distributional statistics and miss instance-level and intra-class structure, leading to poor generalization of models trained on distilled sets.
Approach
Formulates dataset distillation as minimizing a Wasserstein/OT distance decomposed into three stages: Sinkhorn-OT guidance in latent diffusion sampling against real class latents, IPC-dependent teacher ensembles for soft labels, and batch-wise Sinkhorn logit matching for student training.
Key results
- On ImageNet-1K ResNet-18 at IPC=10, the method reaches 52.9% (300 epochs) and 58.6% (1000 epochs), above DiT-IGD at 45.5%.
- On ImageNette with ResNet-18 at IPC=10 under soft labels, the method reaches 79.0% versus 74.8% for DiT-IGD.
- The added OT overhead is reported as under 1% of sampling and matching time.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use OT-based dataset distillation | ImageNet-1K, ResNet-18 · ImageNet-1K, IPC=10 | top-1 accuracy: 45.5 -> 52.9 | Helped |
| use OT-based dataset distillation | ImageNet-100, ResNet-18 · ImageNet-100, IPC=10 | top-1 accuracy: 36.0 -> 47.7 | Helped |
| use OT-based dataset distillation | CIFAR-100, ConvNet-3 · CIFAR-100, IPC=10 | top-1 accuracy: 47.2$\pm$0.4 -> 50.7$\pm$0.2 | Helped |
| add OT-guided diffusion sampling (ablation) | ImageNette hard-label distillation · ImageNette, IPC=10, ConvNet-6 | top-1 accuracy: 61.9 -> 67.0 | Helped |
| add OT-guided diffusion sampling (ablation) | ImageNette hard-label distillation · ImageNette, IPC=10, ResNetAP-10 | top-1 accuracy: 66.5 -> 68.0 | Helped |
| add OT-guided diffusion sampling (ablation) | ImageNette hard-label distillation · ImageNette, IPC=10, ResNet-18 | top-1 accuracy: 67.7 -> 69.1 | Helped |
| add IPC-aware soft relabeling (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ConvNet-6 | top-1 accuracy: 74.3 -> 74.5 | Helped |
| add IPC-aware soft relabeling (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ResNetAP-10 | top-1 accuracy: 76.4 -> 77.8 | Helped |
| add IPC-aware soft relabeling (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ResNet-18 | top-1 accuracy: 77.8 -> 79.0 | Helped |
| add OT-based student logit matching (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ConvNet-6 | top-1 accuracy: 73.2 -> 74.5 | Helped |
| add OT-based student logit matching (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ResNetAP-10 | top-1 accuracy: 75.9 -> 77.8 | Helped |
| add OT-based student logit matching (ablation) | ImageNette soft-label distillation · ImageNette, IPC=10, ResNet-18 | top-1 accuracy: 77.5 -> 79.0 | Helped |
Limitations
- OT hyperparameters (lambda, beta weights) are tuned per dataset in tables, and robustness is only shown on a limited grid.
- Relies on the IGD and EDC configurations and pretrained DiT/VAE, so gains are tied to those pipelines.
Experimental setup
Datasets: ImageNet-1K ImageNette ImageNet-100 CIFAR-100
Benchmarks: ImageNet-1K ImageNette ImageNet-100 CIFAR-100
Metrics: top-1 test accuracy runtime
Baselines: DM IDC DATM SRe2L RDED EDC DiT-IGD D4M
Builds on: IGD EDC Minimax Sinkhorn distance
Closest papers by meaning
- D^4: Dataset Distillation via Disentangled Diffusion Model (CVPR 2024 · similarity 0.88)
- Continuous-Time Distribution Matching for Few-Step Diffusion Distillation (NeurIPS 2026 · similarity 0.88)
- Dataset Distillation of 3D Point Clouds via Distribution Matching (NeurIPS 2025 · similarity 0.88)
- Improved Distribution Matching Distillation for Fast Image Synthesis (NeurIPS 2024 · similarity 0.87)
- Rectifying Soft-Label Entangled Bias in Long-Tailed Dataset Distillation (NeurIPS 2025 · similarity 0.87)
- DELT: A Simple Diversity-driven EarlyLate Training for Dataset Distillation (CVPR 2025 · similarity 0.87)
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