arXiv Machine Learning

Minimax-Optimal Predictive Flow Matching under Distribution Drift

The paper introduces DyProd-FM, a method for predictive flow matching that refits flow matching models on dyadic historical prefixes and selects among them using a sleeping Prod master. It achieves dynamic regret bounds of “~O(min{N_ω+1,1+√{TΩ}}) and ~O(min{N_μ+1,1+T^{1/3}V_μ^{2/3}}) in relative velocity risk variation Ω and target‑law variation V_μ, respectively, without requiring a drift budget. These bounds are shown to be optimal up to logarithmic factors for fixed, possibly nonconvex, neural classes.

arXiv Machine Learning
Jul 14

Velocity Scheduled Flow Matching

arXiv:2607. 11442v1 Announce Type: new Abstract: Flow matching trains a neural network to regress the conditional velocity along a linear interpolant between noise and data, and the number of network evaluations~(NFE) sets the cost of sampling.

By Vitalii Bondar
arXiv Machine Learning
Aug 31

When Can Conditional Flow Matching Replace Pointwise Negative Log-Likelihood?

The paper investigates when conditional flow matching (CFM) can replace pointwise negative log-likelihood (NLL) calculations. It shows that for linear Gaussian paths, the endpoint NLL can be exactly decomposed into entropy, a weighted CFM objective, and residual terms, meaning CFM-only estimates are exact only when these residuals cancel. The study finds that ordinary CFM is generally not a pointwise NLL estimator, and even weighted variants may not fully eliminate bias, especially in training or on‑policy settings, with experiments confirming these theoretical insights.

By Yansen Han, Hongxin Sun, Tao Lin
Hugging Face Trending Papers
Jul 13

Velocity Scheduled Flow Matching

Flow matching trains a neural network to regress the conditional velocity along a linear interpolant between noise and data, and the number of network evaluations~(NFE) sets the cost of sampling. The straight-line interpolant carries an implicit choice: the sample moves at constant speed throughout the trajectory.

arXiv Machine Learning
Oct 22

The Price of Current-Effect Inference in Nonstationary Multi-Armed Bandits

The paper studies the trade‑off between maximizing rewards and accurately estimating current treatment effects in nonstationary multi‑armed bandits. For $K$‑armed bandits with H"older‑smooth mean rewards, the authors derive minimax bounds on expected dynamic regret under a high‑probability simultaneous coverage requirement for all current effects. They propose the TRACE algorithm, which achieves a regret–precision trade‑off that separates reward‑learning regret from the unavoidable cost of refreshing current‑effect estimates, and extend the method with an empirical‑Bernstein e‑process to adapt exploration while preserving worst‑case guarantees.

By Sharan Sahu, Martin T. Wells