Gauging variational inference

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Computing of partition function is the most important statistical inference task arising in applications of graphical models (GM). Since it is computationally intractable, approximate methods have been used in practice, where mean-field (MF) and belief propagation (BP) are arguably the most popular and successful approaches of a variational type. In this paper, we propose two new variational schemes, coined Gauged-MF (G-MF) and Gauged-BP (G-BP), improving MF and BP, respectively. Both provide lower bounds for the partition function by utilizing the so-called gauge transformation which modifies factors of GM while keeping the partition function invariant. Moreover, we prove that both G-MF and G-BP are exact for GMs with a single loop of a special structure, even though the bare MF and BP perform badly in this case. Our extensive experiments indeed confirm that the proposed algorithms outperform and generalize MF and BP.
Publisher
IOP PUBLISHING LTD
Issue Date
2019-12
Language
English
Citation

Machine Learning 2019

ISSN
1742-5468
DOI
10.1088/1742-5468/ab3217
URI
http://hdl.handle.net/10203/273493
Appears in Collection
EE-Conference Papers(학술회의논문)
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