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Multisample Flow Matching: Straightening Flows with Minibatch Couplings
Aram-Alexandre Pooladian · Heli Ben-Hamu · Carles Domingo i Enrich · Brandon Amos · Yaron Lipman · Ricky T. Q. Chen

Tue Jul 25 02:00 PM -- 04:30 PM (PDT) @ Exhibit Hall 1 #535

Simulation-free methods for training continuous-time generative models construct probability paths that go between noise distributions and individual data samples. Recent works, such as Flow Matching, derived paths that are optimal for each data sample. However, these algorithms rely on independent data and noise samples, and do not exploit underlying structure in the data distribution for constructing probability paths. We propose Multisample Flow Matching, a more general framework that uses non-trivial couplings between data and noise samples while satisfying the correct marginal constraints. At small overhead costs, this generalization allows us to (i) reduce gradient variance during training, (ii) obtain straighter flows for the learned vector field, which allows us to generate high-quality samples using fewer function evaluations, and (iii) obtain transport maps with low cost in high dimensions, which has applications beyond generative modeling. Importantly, we do so in a completely simulation-free manner with a simple minimization objective. We show that our proposed methods improve sample consistency on downsampled ImageNet data sets, and lead to better low-cost sample generation.

Author Information

Aram-Alexandre Pooladian (New York University)
Heli Ben-Hamu (Weizmann Institute of Science)
Carles Domingo i Enrich (New York University)
Brandon Amos (Meta)
Yaron Lipman (Meta AI, WIS)
Ricky T. Q. Chen (Meta AI)

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