2009 9th International Symposium on Communications and Information Technology 2009
DOI: 10.1109/iscit.2009.5341219
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Cross-Entropy optimization for sensor selection problems

Abstract: In this paper, we apply the Cross-Entropy optimization (CEO) to the problem of selecting k sensors from a set of m sensors for the purpose of minimizing the error in parameter estimation. The computational complexity of finding an optimal subset through exhaustive search can grow exponentially with the numbers (m and k) of sensors. The CEO is a generalized Monte Carlo technique to solve combinatorial optimization problems. The CEO method updates its parameters from the superior samples at the previous iteratio… Show more

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Cited by 32 publications
(26 citation statements)
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“…The concept of sensor selection has been extensively studied in the context of parameter and state estimation. The resulting minimum cardinality combinatorial problem has been tackled by using different tools, from convex relaxations, e.g., [11][12][13], to sub-modularity [14][15][16] and frame theory [17,18]. These tools have their pros and cons.…”
Section: State Of the Artmentioning
confidence: 99%
See 2 more Smart Citations
“…The concept of sensor selection has been extensively studied in the context of parameter and state estimation. The resulting minimum cardinality combinatorial problem has been tackled by using different tools, from convex relaxations, e.g., [11][12][13], to sub-modularity [14][15][16] and frame theory [17,18]. These tools have their pros and cons.…”
Section: State Of the Artmentioning
confidence: 99%
“…With this in place, the problem we want to solve is how to consistently select minimum rates, relays, and links so to guarantee a certain network performance and connectivity. We can formulate this as minimize r,T ,ν α 1 }r} 0`α2 }T } 0`α3 }ν} 0 (18a) subject to r i P r0, 1s, T ip P r0, 1s, (15), (16), (17),…”
Section: Sensor and Relay Selectionmentioning
confidence: 99%
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“…A heuristic based on convex relaxation is proposed such that the subset of sensors that minimizes the determinant of the estimator covariance matrix is selected. The work of Naeem et al [2009] further builds on Joshi and Boyd [2009] and proposes an algorithm based on the cross-entropy method for sensor selection. A similar problem of selecting noisy sensors for parameter estimation is presented in Msechu and Giannakis [2012], where the concept of sensor-centric data reduction based on censoring and quantization is proposed.…”
Section: Related Workmentioning
confidence: 99%
“…Convex optimization techniques have also been proven useful for experimental design [7,Chapter 7.5] with 1 [8], [9] and reweighted 1 norm minimization [10] approaches such as [11], [12], [13], [14]. Earlier work used information theoretic approaches like mutual information maximization [15], [16] and cross entropy optimization [17] or other search heuristics like genetic algorithms [18], tabu search [19] and branch-and-bound methods [20] to solve the sensor placement problems. Several recent works have also considered nonlinear sensor networks [13], tracking applications [21], [22], distributed sensing scenarios [23], [24], correlated noise models [25], estimation of continuous variables [26].…”
Section: Introductionmentioning
confidence: 99%