Microwave Imaging Using Optimization With Variable Number of Dimensions

Kadlec, Petr; Marek, Martin

doi:10.1109/tci.2020.3041957

Cited by 4 publications

(2 citation statements)

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“…The VND problems have in common that their solution is built using more structurally similar segments and the optimal number of those segments is usually a priori unknown. The family of metameric problems contains a large variety of problems, starting from a wind farm turbine placement [14], composite laminate metamaterials design [15], and neural network architecture design [16], to biomedical inverse imaging [17]. A comprehensive review of VND problems can be found in [18].…”

Section: Introductionmentioning

confidence: 99%

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Multi-Objective PSO with Variable Number of Dimensions for Space Robot Path Optimization

Kadlec

2023

Algorithms

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This paper aims to solve the space robot pathfinding problem, formulated as a multi-objective (MO) optimization problem with a variable number of dimensions (VND). This formulation enables the search and comparison of potential solutions with different model complexities within a single optimization run. A novel VND MO algorithm based on the well-known particle swarm optimization (PSO) algorithm is introduced and thoroughly described in this paper. The novel VNDMOPSO algorithm is validated on a set of 21 benchmark problems with different dimensionality settings and compared with two other state-of-the-art VND MO algorithms. Then, it is applied to solve five different instances of the space robot pathfinding problem formulated as a VND MO problem where two objectives are considered: (1) the minimal distance of the selected path, and (2) the minimal energy cost (expressed as the number of turning points). VNDMOPSO shows at least comparable or better convergence on the benchmark problems and significantly better convergence properties on the VND pathfinding problems compared with other VND MO algorithms.

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Section: Introductionmentioning

confidence: 99%

“…Promising results of VNDPSO on single-objective problems such as printed circuit board decoupling [34], microwave imaging [17], or design of an antenna array [35] lead us to the idea of extending it to solve multi-objective problems as well. Therefore, the contributions of this paper can be summarized as follows.…”

Section: Introductionmentioning

confidence: 99%