Branching Flows: Discrete, Continuous, and Manifold Flow Matching with Splits and Deletions

ArXi:2511.09465v3 Announce Type: replace-cross Diffusion and flow matching approaches to generative modeling have shown promise in domains where the state space is continuous, such as image generation or protein folding & design, and discrete, exemplified by diffusion large language models. They offer a natural fit when the number of elements in a state is fixed in advance (e.g. images), but require ad hoc solutions when, for example, the length of a response from a large language model, or the number of amino acids in a protein chain is not known a priori.