S-AMP for Non-linear Observation Models

Burak Cakmak, Ole Winther, Bernard Henri Fleury

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

7 Citationer (Scopus)
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Abstract

Recently we presented the S-AMP approach, an extension of approximate message passing (AMP), to be able to handle general invariant matrix ensembles. In this contribution we extend S-AMP to non-linear observation models. We obtain generalized AMP (GAMP) as the special case when the measurement matrix has zero-mean iid Gaussian entries. Our derivation is based upon 1) deriving expectation-propagation-(EP)-like equations from the stationary-points equations of the Gibbs free energy under first- and second-moment constraints and 2) applying additive free convolution in free probability theory to get low-complexity updates for the second moment quantities.
OriginalsprogEngelsk
TitelIEEE International Symposium on Information Theory (ISIT), 2015
Antal sider5
ForlagIEEE Press
Publikationsdato2015
Sider2807 - 2811
ISBN (Trykt)978-1-4673-7704-1
DOI
StatusUdgivet - 2015
Begivenhed2015 IEEE International Symposium on Information Theory (ISIT) - Hong Kong, Hong Kong
Varighed: 14 jun. 201519 jun. 2015

Konference

Konference2015 IEEE International Symposium on Information Theory (ISIT)
Land/OmrådeHong Kong
ByHong Kong
Periode14/06/201519/06/2015
NavnI E E E International Symposium on Information Theory. Proceedings
ISSN2157-8095

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