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Paper · arXiv

Symmetry Guarantees Statistic Recovery in Variational Inference

Variational inference (VI) is a central tool in modern machine learning, used to approximate an intractable target density by optimising over a tractable family of distributions. As the variational family cannot typically represent the target exactly, guarantees on the quality of the resulting approximation are crucial for understanding which of its properties VI can faithfully capture. Recent work has identified instances in which symmetries of the target and the variational family enable the recovery of certain statistics, even under model misspecification. However, these guarantees are inherently problem-specific and offer little insight into the fundamental mechanism by which symmetry...

AuthorsDaniel Marks, Dario Paccagnan, Mark van der Wilk
Primary categorystat.ML
Published20 April 2026
Last updated at source20 April 2026
stat.MLcs.LG
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