A Theory of Mean Field Approximation

Part of Advances in Neural Information Processing Systems 11 (NIPS 1998)

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Toshiyuki Tanaka


I present a theory of mean field approximation based on information ge(cid:173) ometry. This theory includes in a consistent way the naive mean field approximation, as well as the TAP approach and the linear response the(cid:173) orem in statistical physics, giving clear information-theoretic interpreta(cid:173) tions to them.