Glassy Nature of the Hard Phase in Inference Problems

An algorithmically hard phase is described in a range of inference problems: Even if the signal can be reconstructed with a small error from an information-theoretic point of view, known algorithms fail unless the noise-to-signal ratio is sufficiently small. This hard phase is typically understood a...

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Bibliographic Details
Main Authors: Fabrizio Antenucci, Silvio Franz, Pierfrancesco Urbani, Lenka Zdeborová
Format: Article
Language:English
Published: American Physical Society 2019-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.9.011020