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Conference Paper: STORM: a nonlinear model order reduction method via symmetric tensor decomposition
Title | STORM: a nonlinear model order reduction method via symmetric tensor decomposition |
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Authors | |
Issue Date | 2016 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194 |
Citation | The 21st Asia and South Pacific Design Automation Conference (ASP-DAC 2016), Macau, China, 25-28 January 2016, p. 557-562 How to Cite? |
Abstract | Nonlinear model order reduction has always been a challenging but important task in various science and engineering fields. In this paper, a novel symmetric tensor-based orderreduction method (STORM) is presented for simulating largescale nonlinear systems. The multidimensional data structure of symmetric tensors, as the higher order generalization of symmetric matrices, is utilized for the effective capture of highorder nonlinearities and efficient generation of compact models. Compared to the recent tensor-based nonlinear model order reduction (TNMOR) algorithm [1], STORM shows advantages in two aspects. First, STORM avoids the assumption of the existence of a low-rank tensor approximation. Second, with the use of the symmetric tensor decomposition, STORM allows significantly faster computation and less storage complexity than TNMOR. Numerical experiments demonstrate the superior computational efficiency and accuracy of STORM against existing nonlinear model order reduction methods. |
Persistent Identifier | http://hdl.handle.net/10722/216394 |
ISSN |
DC Field | Value | Language |
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dc.contributor.author | Deng, J | - |
dc.contributor.author | Liu, H | - |
dc.contributor.author | Batselier, K | - |
dc.contributor.author | Kwok, YK | - |
dc.contributor.author | Wong, N | - |
dc.date.accessioned | 2015-09-18T05:26:16Z | - |
dc.date.available | 2015-09-18T05:26:16Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | The 21st Asia and South Pacific Design Automation Conference (ASP-DAC 2016), Macau, China, 25-28 January 2016, p. 557-562 | - |
dc.identifier.issn | 2153-6961 | - |
dc.identifier.uri | http://hdl.handle.net/10722/216394 | - |
dc.description.abstract | Nonlinear model order reduction has always been a challenging but important task in various science and engineering fields. In this paper, a novel symmetric tensor-based orderreduction method (STORM) is presented for simulating largescale nonlinear systems. The multidimensional data structure of symmetric tensors, as the higher order generalization of symmetric matrices, is utilized for the effective capture of highorder nonlinearities and efficient generation of compact models. Compared to the recent tensor-based nonlinear model order reduction (TNMOR) algorithm [1], STORM shows advantages in two aspects. First, STORM avoids the assumption of the existence of a low-rank tensor approximation. Second, with the use of the symmetric tensor decomposition, STORM allows significantly faster computation and less storage complexity than TNMOR. Numerical experiments demonstrate the superior computational efficiency and accuracy of STORM against existing nonlinear model order reduction methods. | - |
dc.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000194 | - |
dc.relation.ispartof | Asia and South Pacific Design Automation Conference Proceedings | - |
dc.rights | Asia and South Pacific Design Automation Conference Proceedings. Copyright © IEEE. | - |
dc.rights | ©2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.title | STORM: a nonlinear model order reduction method via symmetric tensor decomposition | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Liu, H: htliu@eee.hku.hk | - |
dc.identifier.email | Batselier, K: kbatseli@hku.hk | - |
dc.identifier.email | Kwok, YK: ykwok@hku.hk | - |
dc.identifier.email | Wong, N: nwong@eee.hku.hk | - |
dc.identifier.authority | Kwok, YK=rp00128 | - |
dc.identifier.authority | Wong, N=rp00190 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/ASPDAC.2016.7428070 | - |
dc.identifier.scopus | eid_2-s2.0-84996844998 | - |
dc.identifier.hkuros | 253246 | - |
dc.identifier.spage | 557 | - |
dc.identifier.epage | 562 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 151221 | - |