McDonnell, Mark D., 1975-, Amblard, Pierre-Olivier and Stocks, Nigel G.. (2009) Stochastic pooling networks. Journal of Statistical Mechanics: Theory and Experiment, Vol.2009 (January 2009). Article: P01012. ISSN 1742-5468

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Abstract

We introduce and define the concept of a stochastic pooling network (SPN), as a model for sensor systems where redundancy and two forms of 'noise' lossy compression and randomness - interact in surprising ways. Our approach to analysing SPNs is information theoretic. We de. ne an SPN as a network with multiple nodes that each produce noisy and compressed measurements of the same information. An SPN must combine all these measurements into a single further compressed network output, in a way dictated solely by naturally occurring physical properties - i.e. pooling - and yet cause no (or negligible) reduction in mutual information. This means that SPNs exhibit redundancy reduction as an emergent property of pooling. The SPN concept is applicable to examples in biological neural coding, nanoelectronics, distributed sensor networks, digital beamforming arrays, image processing, multiaccess communication networks and social networks. In most cases the randomness is assumed to be unavoidably present rather than deliberately introduced. We illustrate the central properties of SPNs for several case studies, where pooling occurs by summation, including nodes that are noisy scalar quantizers, and nodes with conditionally Poisson statistics. Other emergent properties of SPNs and some unsolved problems are also briefly discussed.

Item Type:	Journal Article
Subjects:	T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Divisions:	Faculty of Science > Engineering
Journal or Publication Title:	Journal of Statistical Mechanics: Theory and Experiment
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	1742-5468
Date:	January 2009
Volume:	Vol.2009
Number:	January 2009
Number of Pages:	18
Page Range:	Article: P01012
Identification Number:	10.1088/1742-5468/2009/01/P01012
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Australian Research Council Post Doctoral Fellowship, Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	DP0770747, EP/ D051894/1 (EPSRC), EP/C523334/1 (EPSRC)
URI:	http://wrap.warwick.ac.uk/id/eprint/28677

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