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New gradient methods for sensor selection problems

Author

Listed:
  • De Zhang
  • Mingqiang Li
  • Feng Zhang
  • Maojun Fan

Abstract

In this article, we consider the sensor selection problem of choosing T sensors from a set of m possible sensor measurements. The sensor selection problem is a combinational optimization problem. Evaluating the performance for each possible combination is impractical unless m and T are small. We relax the original selection problem to be a convex optimization problem and describe a projected gradient method with Barzilai–Borwein step size to solve the proposed relaxed problem. Numerical results demonstrate that the proposed algorithm converges faster than some classical algorithms. The solution obtained by the proposed algorithm is closer to the truth.

Suggested Citation

  • De Zhang & Mingqiang Li & Feng Zhang & Maojun Fan, 2019. "New gradient methods for sensor selection problems," International Journal of Distributed Sensor Networks, , vol. 15(3), pages 15501477198, March.
  • Handle: RePEc:sae:intdis:v:15:y:2019:i:3:p:1550147719839642
    DOI: 10.1177/1550147719839642
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    References listed on IDEAS

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    1. Yurii NESTEROV & Sebastian U. STICH, 2017. "Efficiency of the accelerated coordinate descent method on structured optimization problems," LIDAM Reprints CORE 2845, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. E. L. Lawler & D. E. Wood, 1966. "Branch-and-Bound Methods: A Survey," Operations Research, INFORMS, vol. 14(4), pages 699-719, August.
    3. Mingqiang Li & Congying Han & Ruxin Wang & Tiande Guo, 2017. "Shrinking gradient descent algorithms for total variation regularized image denoising," Computational Optimization and Applications, Springer, vol. 68(3), pages 643-660, December.
    4. Nguyen, Nam-Ky & Miller, Alan J., 1992. "A review of some exchange algorithms for constructing discrete D-optimal designs," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 489-498, November.
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