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Workshop: NeurIPS 2023 Workshop: Machine Learning and the Physical Sciences

On Representations of Mean-Field Variational Inference

Soumyadip Ghosh · Yingdong Lu · Tomasz Nowicki · Edith Zhang


We obtain representations of Mean-Field Variational Inference (MFVI) in the forms of gradient flows on product spaces, quasilinear partial differential equations and McKean-Vlasov diffusion processes. These new interpretations not only provide new understanding of MFVI, but also allows us to conduct new analysis on its convergence.

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