Sampling via Stochastic Interpolants by Langevin-based Velocity and Initialization Estimation in Flow ODEs

arXiv — cs.LGWednesday, January 14, 2026 at 5:00:00 AM
  • A novel method for sampling from unnormalized Boltzmann densities has been proposed, utilizing a probability-flow ordinary differential equation (ODE) derived from linear stochastic interpolants. This approach employs a sequence of Langevin samplers to efficiently simulate the flow, generating samples from the interpolant distribution and estimating the velocity field governing the flow ODE. Extensive numerical experiments validate the method's efficiency across multimodal distributions and its effectiveness in Bayesian inference tasks.
  • This development is significant as it enhances the capability to sample from complex distributions, which is crucial for various applications in machine learning and statistical inference. By establishing convergence guarantees and demonstrating robust performance in challenging scenarios, the method could improve the accuracy and efficiency of sampling techniques in research and practical applications.
  • The introduction of this sampling method aligns with ongoing advancements in stochastic optimization and flow matching, highlighting a trend towards more efficient algorithms in artificial intelligence. The integration of Langevin dynamics with flow-based models reflects a growing interest in leveraging probabilistic frameworks to address challenges in high-dimensional data and complex inference tasks, suggesting a shift towards more sophisticated sampling strategies in the field.
— via World Pulse Now AI Editorial System

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