Flow Matching
Flow matching is a simulation-free generative modeling technique that learns a continuous transformation between a simple, known distribution and a complex target distribution by estimating the underlying vector field. Current research focuses on improving the efficiency and effectiveness of flow matching across diverse data types, including continuous data like images and time series, and discrete data such as graphs and molecular structures, often employing neural ordinary differential equations (NODEs) and incorporating techniques like optimal transport and Gaussian processes to enhance performance. This approach holds significant promise for various applications, from accelerating scientific simulations (e.g., molecular dynamics) and generating novel materials to improving image restoration and enabling more efficient reinforcement learning.
Papers
Flow Matching with Gaussian Process Priors for Probabilistic Time Series Forecasting
Marcel Kollovieh, Marten Lienen, David Lüdke, Leo Schwinn, Stephan Günnemann
Local Flow Matching Generative Models
Chen Xu, Xiuyuan Cheng, Yao Xie
PnP-Flow: Plug-and-Play Image Restoration with Flow Matching
Ségolène Martin, Anne Gagneux, Paul Hagemann, Gabriele Steidl
CaLMFlow: Volterra Flow Matching using Causal Language Models
Sizhuang He, Daniel Levine, Ivan Vrkic, Marco Francesco Bressana, David Zhang, Syed Asad Rizvi, Yangtian Zhang, Emanuele Zappala, David van Dijk