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Parallel Zolotarev-SVD for the analysis of rocket combustion data

Hoppe, Fabian and Knechtges, Philipp and Rüttgers, Alexander (2023) Parallel Zolotarev-SVD for the analysis of rocket combustion data. SIAM Conference on Computational Science and Engineering (CSE23), 26. Feb. - 03. Mrz. 2023, Amsterdam.

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Singular value decomposition (SVD), also known as principal component analysis (PCA), is one of the oldest and most fundamental, but also very powerful mathematical tools in data science. This poster is concerned with the application of modern high-performance SVD algorithms to problems arising in, e.g., the context of rocket combustion at the German Aerospace Center (DLR). We report on our implementation within the PyTorch- and mpi4py-based HPC-data analytics software HEAT (Helmholtz Analytics Toolkit) developed at DLR, JSC, and KIT (Götz et al., 2020 IEEE International Conference on Big Data, pp. 276-287). The core of our SVD implementation is formed by the highly parallelizable Zolotarev-SVD algorithm proposed by Y. Nakatsukasa and R.W. Freund (2016, SIAM Review, Vol. 58, No. 3, pp. 461-493). We present numerical experiments on the respective scaling behavior. Moreover, depending on the concrete problem type, other well-known techniques, such as randomized or incremental algorithms, are shown to allow for further reduction of the computational costs.

Item URL in elib:https://elib.dlr.de/194222/
Document Type:Conference or Workshop Item (Poster)
Title:Parallel Zolotarev-SVD for the analysis of rocket combustion data
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Knechtges, PhilippUNSPECIFIEDhttps://orcid.org/0000-0002-4849-0593147326981
Rüttgers, AlexanderUNSPECIFIEDhttps://orcid.org/0000-0001-6347-9272UNSPECIFIED
Date:28 February 2023
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Keywords:SVD, PCA, Singular Value Decomposition, HPC, High Performance Computing, Data Analytics, Heat, Helmholtz Analytics Toolkit
Event Title:SIAM Conference on Computational Science and Engineering (CSE23)
Event Location:Amsterdam
Event Type:international Conference
Event Dates:26. Feb. - 03. Mrz. 2023
Organizer:Society for Industrial and Applied Mathematics (SIAM)
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Basic research in the field of machine learning, R - HPDA implementation
Location: Köln-Porz
Institutes and Institutions:Institute for Software Technology > High-Performance Computing
Institute for Software Technology
Deposited By: Hoppe, Fabian
Deposited On:27 Mar 2023 13:51
Last Modified:24 Nov 2023 08:18

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