Expanding Flow Maps

TL;DR - Expanding Flow Maps extend flow-based generative models to outputs whose dimensionality or length can grow during generation. This enables efficient few-step generation of variable-size objects such as graphs and sequences.

• Introduces expanding interpolants that add state dimensions using conditional noise.
• Factors each map into a learned expand operator and a transport map for joint expansion and denoising.
• Supports continuous spaces and discrete simplices, including variable-size graphs and variable-length sequences.
• Recovers fixed-dimensional flow models when expansion is the identity operation.