Nexus Trimester - 2016 - Inference Problems Theme

Collection Nexus Trimester - 2016 - Inference Problems Theme

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Date(s) 28/04/2024

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Spatial coupling as a proof technique

By Nicolas Macris

This talk will outline a recent set of ideas on using spatially coupled ensembles to deduce properties of the underlying non-coupled ensemble. An application is a proof of the replica symmetric formula for conditionnal entropy of Low-Density-Parity-Check codes on arbitrary binary input memoryless channels, as well as a proof of the Maxwell area construction for such systems. Applications to lossy source coding and satisfiability will be discussed time permitting.

Information about the video

Date of recording 18/03/2016
Date of publication 08/04/2016
Institution IHP
Format MP4

Domain(s)

Computer Science

MSC codes

94A15 Information theory, general

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