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arXiv · 2505.19646

Energy-based generator matching: A neural sampler for general state space

Dongyeop Woo·Minsu Kim·Minkyu Kim·Kiyoung Seong·Sungsoo Ahn
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Abstract

We propose Energy-based generator matching (EGM), a modality-agnostic approach to train generative models from energy functions in the absence of data. Extending the recently proposed generator matching, EGM enables training of arbitrary continuous-time Markov processes, e.g., diffusion, flow, and jump, and can generate data from continuous, discrete, and a mixture of two modalities. To this end, we propose estimating the generator matching loss using self-normalized importance sampling with an additional bootstrapping trick to reduce variance in the importance weight. We validate EGM on both discrete and multimodal tasks up to 100 and 20 dimensions, respectively.

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Dongyeop Woo, Minsu Kim, Minkyu Kim, Kiyoung Seong, Sungsoo Ahn. 2025-11-19. Energy-based generator matching: A neural sampler for general state space. https://arxiv.org/abs/2505.19646

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