  We tackle the problem of sampling from intractable high-dimensional density
functions, a fundamental task that often appears in machine learning and
statistics. We extend recent sampling-based approaches that leverage controlled
stochastic processes to model approximate samples from these target densities.
The main drawback of these approaches is that the training objective requires
full trajectories to compute, resulting in sluggish credit assignment issues
due to use of entire trajectories and a learning signal present only at the
terminal time. In this work, we present Diffusion Generative Flow Samplers
(DGFS), a sampling-based framework where the learning process can be tractably
broken down into short partial trajectory segments, via parameterizing an
additional "flow function". Our method takes inspiration from the theory
developed for generative flow networks (GFlowNets), allowing us to make use of
intermediate learning signals. Through various challenging experiments, we
demonstrate that DGFS achieves more accurate estimates of the normalization
constant than closely-related prior methods.
