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Inversion-Free Evaluation of Nearest Neighbors in Method of Moments

Capek, Miloslav LU ; Jelinek, Lukas and Gustafsson, Mats LU orcid (2019) In IEEE Antennas and Wireless Propagation Letters 18(11). p.2311-2315
Abstract

A recently introduced technique of topology sensitivity in method of moments is extended by the possibility of adding degrees of freedom (reconstruct) into the underlying structure. The algebraic formulation is inversion-free, suitable for parallelization, and scales favorably with the number of unknowns. The reconstruction completes the nearest neighbors procedure for an evaluation of the smallest shape perturbation. The performance of the method is studied with a greedy search over a Hamming graph representing the structure in which initial positions are chosen from a random set. The method is shown to be an effective data mining tool for machine learning-related applications.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Antennas, numerical methods, optimization methods, shape sensitivity analysis, structural topology design
in
IEEE Antennas and Wireless Propagation Letters
volume
18
issue
11
article number
8695067
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85075030246
ISSN
1536-1225
DOI
10.1109/LAWP.2019.2912459
language
English
LU publication?
yes
id
97da0c94-6eb7-40b1-9d54-3e0ab1229773
date added to LUP
2019-11-29 14:09:38
date last changed
2022-04-02 23:09:48
@article{97da0c94-6eb7-40b1-9d54-3e0ab1229773,
  abstract     = {{<p>A recently introduced technique of topology sensitivity in method of moments is extended by the possibility of adding degrees of freedom (reconstruct) into the underlying structure. The algebraic formulation is inversion-free, suitable for parallelization, and scales favorably with the number of unknowns. The reconstruction completes the nearest neighbors procedure for an evaluation of the smallest shape perturbation. The performance of the method is studied with a greedy search over a Hamming graph representing the structure in which initial positions are chosen from a random set. The method is shown to be an effective data mining tool for machine learning-related applications.</p>}},
  author       = {{Capek, Miloslav and Jelinek, Lukas and Gustafsson, Mats}},
  issn         = {{1536-1225}},
  keywords     = {{Antennas; numerical methods; optimization methods; shape sensitivity analysis; structural topology design}},
  language     = {{eng}},
  number       = {{11}},
  pages        = {{2311--2315}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Antennas and Wireless Propagation Letters}},
  title        = {{Inversion-Free Evaluation of Nearest Neighbors in Method of Moments}},
  url          = {{http://dx.doi.org/10.1109/LAWP.2019.2912459}},
  doi          = {{10.1109/LAWP.2019.2912459}},
  volume       = {{18}},
  year         = {{2019}},
}