Implications of recompression for grid-based low-rank approximation techniques

Jon T. Kelley; Tian Yao; Yaniv Brick; Ali E. Yilmaz

doi:10.1109/APUSNCURSINRSM.2019.8888626

Implications of recompression for grid-based low-rank approximation techniques

Jon T. Kelley, Tian Yao, Yaniv Brick, Ali E. Yilmaz

Department of Electrical & Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Low-rank compression of moment matrix blocks, representing interactions between clusters of vector basis/testing functions, is often done by a rank-revealing analysis of a simplified grid-to-grid interaction matrix, followed by inter/anterpolation and recompression. While this can provide a close estimate of the rank, it can lead to large errors in the compressed representation due to misrepresentation by grids of the underlying relative orientations of the vector functions. The potential hazard is demonstrated via a simplified example for the dyadic formulation.

Original language	English
Title of host publication	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	789-790
Number of pages	2
ISBN (Electronic)	9781728106922
DOIs	https://doi.org/10.1109/APUSNCURSINRSM.2019.8888626
State	Published - 1 Jul 2019
Event	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Atlanta, United States Duration: 7 Jul 2019 → 12 Jul 2019

Publication series

Name	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings

Conference

Conference	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019
Country/Territory	United States
City	Atlanta
Period	7/07/19 → 12/07/19

Access to Document

10.1109/APUSNCURSINRSM.2019.8888626

Cite this

Kelley, J. T., Yao, T., Brick, Y., & Yilmaz, A. E. (2019). Implications of recompression for grid-based low-rank approximation techniques. In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings (pp. 789-790). [8888626] (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APUSNCURSINRSM.2019.8888626

Kelley, Jon T. ; Yao, Tian ; Brick, Yaniv ; Yilmaz, Ali E. / Implications of recompression for grid-based low-rank approximation techniques. 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 789-790 (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings).

@inproceedings{62b69eb4cf4e4c27a987edd9afaf1948,

title = "Implications of recompression for grid-based low-rank approximation techniques",

abstract = "Low-rank compression of moment matrix blocks, representing interactions between clusters of vector basis/testing functions, is often done by a rank-revealing analysis of a simplified grid-to-grid interaction matrix, followed by inter/anterpolation and recompression. While this can provide a close estimate of the rank, it can lead to large errors in the compressed representation due to misrepresentation by grids of the underlying relative orientations of the vector functions. The potential hazard is demonstrated via a simplified example for the dyadic formulation.",

author = "Kelley, {Jon T.} and Tian Yao and Yaniv Brick and Yilmaz, {Ali E.}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 ; Conference date: 07-07-2019 Through 12-07-2019",

year = "2019",

month = jul,

day = "1",

doi = "10.1109/APUSNCURSINRSM.2019.8888626",

language = "English",

series = "2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "789--790",

booktitle = "2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings",

address = "United States",

}

Kelley, JT, Yao, T, Brick, Y & Yilmaz, AE 2019, Implications of recompression for grid-based low-rank approximation techniques. in 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings., 8888626, 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 789-790, 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019, Atlanta, United States, 7/07/19. https://doi.org/10.1109/APUSNCURSINRSM.2019.8888626

Implications of recompression for grid-based low-rank approximation techniques. / Kelley, Jon T.; Yao, Tian; Brick, Yaniv; Yilmaz, Ali E.

2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 789-790 8888626 (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Implications of recompression for grid-based low-rank approximation techniques

AU - Kelley, Jon T.

AU - Yao, Tian

AU - Brick, Yaniv

AU - Yilmaz, Ali E.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - Low-rank compression of moment matrix blocks, representing interactions between clusters of vector basis/testing functions, is often done by a rank-revealing analysis of a simplified grid-to-grid interaction matrix, followed by inter/anterpolation and recompression. While this can provide a close estimate of the rank, it can lead to large errors in the compressed representation due to misrepresentation by grids of the underlying relative orientations of the vector functions. The potential hazard is demonstrated via a simplified example for the dyadic formulation.

AB - Low-rank compression of moment matrix blocks, representing interactions between clusters of vector basis/testing functions, is often done by a rank-revealing analysis of a simplified grid-to-grid interaction matrix, followed by inter/anterpolation and recompression. While this can provide a close estimate of the rank, it can lead to large errors in the compressed representation due to misrepresentation by grids of the underlying relative orientations of the vector functions. The potential hazard is demonstrated via a simplified example for the dyadic formulation.

UR - http://www.scopus.com/inward/record.url?scp=85075242362&partnerID=8YFLogxK

U2 - 10.1109/APUSNCURSINRSM.2019.8888626

DO - 10.1109/APUSNCURSINRSM.2019.8888626

M3 - Conference contribution

AN - SCOPUS:85075242362

T3 - 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings

SP - 789

EP - 790

BT - 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019

Y2 - 7 July 2019 through 12 July 2019

ER -

Kelley JT, Yao T, Brick Y, Yilmaz AE. Implications of recompression for grid-based low-rank approximation techniques. In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 789-790. 8888626. (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings). https://doi.org/10.1109/APUSNCURSINRSM.2019.8888626

Implications of recompression for grid-based low-rank approximation techniques

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this