Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.

Favaro, Federico - Dufrechou, Ernesto - Ezzatti, Pablo - Oliver, Juan Pablo

Resumen:

The solution of sparse triangular linear systems (sptrsv) is the bottleneck of many numerical methods. Thus, it is crucial to count with efficient implementations of such kernel, at least for commonly used platforms. In this sense, Field–Programmable Gate Arrays (FPGAs) have evolved greatly in the last years, entering the HPC hardware ecosystem largely due to their superior energy–efficiency relative to more established accelerators. Up until recently, the design for FPGAs implied the use of low–level Hardware Description Languages (HDL) such as VHDL or Verilog. Nowadays, manufacturers are making a large effort to adopt High–Level Synthesis languages like C/C++ or OpenCL, but the gap between their performance and that of HDLs is not yet fully studied. This work focuses on the performance offered by FPGAs to compute the sptrsv using OpenCL. For this purpose, we implement different parallel variants of this kernel and experimentally evaluate several setups, varying among others the work–group size, the number of compute units, the unroll–factor and the vectorization–factor.


Detalles Bibliográficos
2020
FPGAs
Sparse linear algebra
SPTRSV
Power consumption
Inglés
Universidad de la República
COLIBRI
https://link.springer.com/chapter/10.1007/978-3-030-44534-8_20
https://hdl.handle.net/20.500.12008/31512
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Favaro, Federico
author2 Dufrechou, Ernesto
Ezzatti, Pablo
Oliver, Juan Pablo
author2_role author
author
author
author_facet Favaro, Federico
Dufrechou, Ernesto
Ezzatti, Pablo
Oliver, Juan Pablo
author_role author
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dc.contributor.filiacion.none.fl_str_mv Favaro Federico, Universidad de la República (Uruguay). Facultad de Ingeniería.
Dufrechou Ernesto, Universidad de la República (Uruguay). Facultad de Ingeniería.
Ezzatti Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.
Oliver Juan Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.
dc.creator.none.fl_str_mv Favaro, Federico
Dufrechou, Ernesto
Ezzatti, Pablo
Oliver, Juan Pablo
dc.date.accessioned.none.fl_str_mv 2022-05-09T12:27:25Z
dc.date.available.none.fl_str_mv 2022-05-09T12:27:25Z
dc.date.issued.none.fl_str_mv 2020
dc.description.abstract.none.fl_txt_mv The solution of sparse triangular linear systems (sptrsv) is the bottleneck of many numerical methods. Thus, it is crucial to count with efficient implementations of such kernel, at least for commonly used platforms. In this sense, Field–Programmable Gate Arrays (FPGAs) have evolved greatly in the last years, entering the HPC hardware ecosystem largely due to their superior energy–efficiency relative to more established accelerators. Up until recently, the design for FPGAs implied the use of low–level Hardware Description Languages (HDL) such as VHDL or Verilog. Nowadays, manufacturers are making a large effort to adopt High–Level Synthesis languages like C/C++ or OpenCL, but the gap between their performance and that of HDLs is not yet fully studied. This work focuses on the performance offered by FPGAs to compute the sptrsv using OpenCL. For this purpose, we implement different parallel variants of this kernel and experimentally evaluate several setups, varying among others the work–group size, the number of compute units, the unroll–factor and the vectorization–factor.
dc.description.es.fl_txt_mv Publicado en: Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, (LNCS, volume 12083), Springer, Cham, pp. 258-268
dc.format.extent.es.fl_str_mv 11 p.
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dc.identifier.citation.es.fl_str_mv Favaro, F., Dufrechou, E., Ezzatti, P.y otros. Exploring FPGA optimizations to compute sparse numerical linear algebra kernels [Preprint]. Publicado en : Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, vol. 12083. Springer, Cham. DOI:10.1007/978-3-030-44534-8_20
dc.identifier.uri.none.fl_str_mv https://link.springer.com/chapter/10.1007/978-3-030-44534-8_20
https://hdl.handle.net/20.500.12008/31512
dc.language.iso.none.fl_str_mv en
eng
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv FPGAs
Sparse linear algebra
SPTRSV
Power consumption
dc.title.none.fl_str_mv Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
dc.type.version.none.fl_str_mv info:eu-repo/semantics/submittedVersion
description Publicado en: Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, (LNCS, volume 12083), Springer, Cham, pp. 258-268
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identifier_str_mv Favaro, F., Dufrechou, E., Ezzatti, P.y otros. Exploring FPGA optimizations to compute sparse numerical linear algebra kernels [Preprint]. Publicado en : Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, vol. 12083. Springer, Cham. DOI:10.1007/978-3-030-44534-8_20
instacron_str Universidad de la República
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publishDate 2020
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Favaro Federico, Universidad de la República (Uruguay). Facultad de Ingeniería.Dufrechou Ernesto, Universidad de la República (Uruguay). Facultad de Ingeniería.Ezzatti Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.Oliver Juan Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.2022-05-09T12:27:25Z2022-05-09T12:27:25Z2020Favaro, F., Dufrechou, E., Ezzatti, P.y otros. Exploring FPGA optimizations to compute sparse numerical linear algebra kernels [Preprint]. Publicado en : Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, vol. 12083. Springer, Cham. DOI:10.1007/978-3-030-44534-8_20https://link.springer.com/chapter/10.1007/978-3-030-44534-8_20https://hdl.handle.net/20.500.12008/31512Publicado en: Applied Reconfigurable Computing. Architectures, Tools, and Applications. ARC 2020. Lecture Notes in Computer Science, (LNCS, volume 12083), Springer, Cham, pp. 258-268The solution of sparse triangular linear systems (sptrsv) is the bottleneck of many numerical methods. Thus, it is crucial to count with efficient implementations of such kernel, at least for commonly used platforms. In this sense, Field–Programmable Gate Arrays (FPGAs) have evolved greatly in the last years, entering the HPC hardware ecosystem largely due to their superior energy–efficiency relative to more established accelerators. Up until recently, the design for FPGAs implied the use of low–level Hardware Description Languages (HDL) such as VHDL or Verilog. Nowadays, manufacturers are making a large effort to adopt High–Level Synthesis languages like C/C++ or OpenCL, but the gap between their performance and that of HDLs is not yet fully studied. This work focuses on the performance offered by FPGAs to compute the sptrsv using OpenCL. For this purpose, we implement different parallel variants of this kernel and experimentally evaluate several setups, varying among others the work–group size, the number of compute units, the unroll–factor and the vectorization–factor.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2022-05-05T23:00:20Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) FDEO20.pdf: 310307 bytes, checksum: 57ba733c51fb39e1299884cf90cd9e12 (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2022-05-06T18:56:30Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) FDEO20.pdf: 310307 bytes, checksum: 57ba733c51fb39e1299884cf90cd9e12 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-05-09T12:27:25Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) FDEO20.pdf: 310307 bytes, checksum: 57ba733c51fb39e1299884cf90cd9e12 (MD5) Previous issue date: 202011 p.application/pdfenengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)FPGAsSparse linear algebraSPTRSVPower consumptionExploring FPGA optimizations to compute sparse numerical linear algebra kernels.Preprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFavaro, FedericoDufrechou, ErnestoEzzatti, PabloOliver, Juan PabloLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/31512/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/31512/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse
spellingShingle Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
Favaro, Federico
FPGAs
Sparse linear algebra
SPTRSV
Power consumption
status_str submittedVersion
title Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
title_full Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
title_fullStr Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
title_full_unstemmed Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
title_short Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
title_sort Exploring FPGA optimizations to compute sparse numerical linear algebra kernels.
topic FPGAs
Sparse linear algebra
SPTRSV
Power consumption
url https://link.springer.com/chapter/10.1007/978-3-030-44534-8_20
https://hdl.handle.net/20.500.12008/31512