NDLI: Constrained robust submodular sensor selection with application to multistatic sonar arrays

Content Provider	IET Digital Library
Author	Powers, Thomas Krout, David W. Bilmes, Jeff Atlas, Les
Abstract	The authors develop a framework to select a subset of sensors from a field in which the sensors have an ingrained independence structure. Given an arbitrary independence pattern, the authors construct a graph that denotes pairwise independence between sensors, which means those sensors may operate simultaneously without interfering. The set of all fully-connected subgraphs (cliques) of this independence graph forms the independent sets of matroids over which the authors maximise the average and minimum of a set of submodular objective functions. The average case is submodular, so it can be approximated. The minimum case is both non-submodular and inapproximable. The authors propose a novel algorithm GENSAT that exploits submodularity and, as a result, returns a near-optimal solution with approximation guarantees on a relaxed problem that are within a small factor of the average case scenario. The authors apply this framework to ping sequence optimisation for active multistatic sonar arrays by maximising sensor coverage for average and minimum case scenarios and derive lower bounds for minimum probability of detection for a fractional number of targets. In these ping sequence optimisation simulations, GENSAT exceeds the fractional lower bounds and reaches near-optimal performance, and submodular function optimisation vastly outperforms traditional approaches and nearly achieves optimal performance.
Starting Page	1776
Ending Page	1781
Page Count	6
ISSN	17518784
Volume Number	11
e-ISSN	17518792
Issue Number	Issue 12, Dec (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rsn/11/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rsn.2017.0075
Journal	IET Radar, Sonar & Navigation
Publisher Date	2017-08-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Active Multistatic Sonar Array Approximation Theory Arbitrary Independence Pattern Constrained Robust Submodular Sensor Selection Generalised Saturate GENSAT Independence Graph Formation Ingrained Independence Structure Interpolation And Function Approximation Numerical Analysis Optimisation Optimisation Technique Pairwise Independence Ping Sequence Optimisation Probability PSO Sensing Device And Transducers Sensor Array Sonar And Acoustic Radar Sonar Array Statistics Submodular Objective Function
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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