Compositional Generative Inference Using Diffusion-based Optimization

Authors: Sookwan Han, Hyunjun Lee
Primary area: generative models
Keywords: diffusion, composition, probablistic models, energy based models

Abstract:
Compositional generative tasks, despite being important and having potential applications, have not been thoroughly addressed due to the unclear formulation and the challenges associated with selecting composition strategies. In this paper, we propose a probabilistic graphical approach to tackle the problem of compositional generative tasks and alleviate these challenges. Our approach formulates the problem as a Bayesian inference problem using a representative bipartite Bayesian network. In this network, one set of random variables represents the generation targets, while the other set represents observable variables with explicit or implicit distribution information. To solve this problem, we employ variational inference on the marginal distribution of observable variables. We approximate this distribution using diffusion models. We view the diffusion models as approximate Markov Chain Monte Carlo (MCMC) samplers for the marginals. Based on this perspective, we introduce a novel MCMC-based inference algorithm that incorporates per-step optimization using aggregated objectives from the diffusion models. We demonstrate the generality of our method and conduct experiments to validate its applicability to various compositional generation tasks.

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