Path-Guided Flow Matching for Dataset Distillation
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Dataset distillation compresses large datasets into compact synthetic sets with comparable performance in training models. Despite recent progress on diffusion-based distillation, this type of method typically depends on heuristic guidance or prototype assignment, which comes with time-consuming sampling and trajectory instability and thus hurts downstream generalization especially under strong control or low IPC. We propose Path-Guided Flow Matching (PGFM), the first flow matching-based framework for generative distillation, which enables fast deterministic synthesis by solving an ODE in a few steps. PGFM conducts flow matching in the latent space of a frozen VAE to learn class-conditional transport from Gaussian noise to data distribution. Particularly, we develop a continuous path-to-prototype guidance algorithm for ODE-consistent path control, which allows trajectories to reliably land on assigned prototypes while preserving diversity and efficiency. Extensive experiments across high-resolution benchmarks demonstrate that PGFM matches or surpasses prior diffusion-based distillation approaches with fewer steps of sampling while delivering competitive performance with remarkably improved efficiency, e.g., 7.6× more efficient than the diffusion-based counterparts with 78% mode coverage.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 24 of its 32 references that are in the map. First posted on arXiv 5 Feb 2026.
Builds on
24 of 32 references.
Closest ancestors · 6
Same direction, newest first
- 2025Gaussian Mixture Flow Matching Models7 Apr
- 2024Flow Matching Guide and Code9 Dec
- 2023Flow Matching in Latent Space17 Jul
- 2023Flow Matching on General Geometries7 Feb
- 2022Flow Matching for Generative Modeling6 Oct
- 2022Rectified Flow: A Marginal Preserving Approach to Optimal Transport29 Sep
Other references · 18
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2022Scalable Diffusion Models with Transformerscited by 5,931
- 2022Classifier-Free Diffusion Guidancecited by 5,717
- 2017Learning Efficient Convolutional Networks through Network Slimmingcited by 673
- 2020Dataset Condensation with Gradient Matchingcited by 510
- 2022Dataset Distillation by Matching Training Trajectoriescited by 437
- 2016Tutorial on Variational Autoencoderscited by 404
- 2021Dataset Condensation with Distribution Matchingcited by 362
- 2015Quantized Convolutional Neural Networks for Mobile Devicescited by 212
- 2022Dataset Distillation via Factorizationcited by 115
- 2023Efficient Dataset Distillation via Minimax Diffusioncited by 81
- 2019Centripetal SGD for Pruning Very Deep Convolutional Networks with Complicated Structurecited by 76
6 more
- 2024D4M: Dataset Distillation via Disentangled Diffusion Modelcited by 76
- 2021Towards Mixed-Precision Quantization of Neural Networks via Constrained Optimizationcited by 57
- 2023M3D: Dataset Condensation by Minimizing Maximum Mean Discrepancycited by 49
- 2025Dataset Distillation with Neural Characteristic Function: A Minmax Perspectivecited by 45
- 2023Dataset Condensation via Generative Modelcited by 15
- 2025GeoDM: Geometry-aware Distribution Matching for Dataset Distillationcited by 3
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- 2026Path-independent Flow Matching for Multi-parameter Generative Dynamics
- 2025Shortcutting Pre-trained Flow Matching Diffusion Models is Almost Free Lunch
- 2026ODE-free Neural Flow Matching for One-Step Generative Modeling
- 2026Consistent Distribution Matching for Data-Free Diffusion Distillation
- 2025Diff2Flow: Training Flow Matching Models via Diffusion Model Alignment
- 2026Mean Flow Distillation: Robust and Stable Distillation for Flow Matching Models
- 2026Efficient Dataset Distillation for Pre-Trained Self-Supervised Models via Statistical Flow Matching
- 2024Flow map matching with stochastic interpolants: A mathematical framework for consistency models