Inversion-Free Evaluation of Nearest Neighbors in Method of Moments
(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:
https://lup.lub.lu.se/record/97da0c94-6eb7-40b1-9d54-3e0ab1229773
- author
- Capek, Miloslav LU ; Jelinek, Lukas and Gustafsson, Mats LU
- organization
- publishing date
- 2019
- 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}}, }