AGULLO, Emmanuel; BUTTARI, Alfredo; COULAUD, Olivier; EYRAUD-DUBOIS, Lionel; FAVERGE, Mathieu; FRANC, Alain; GUERMOUCHE, Abdou; JEGO, Antoine; PERESSONI, Romain; PRUVOST, Florent

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

AGULLO, Emmanuel
COmposabilité Numerique and parallèle pour le CAlcul haute performanCE [CONCACE]

BUTTARI, Alfredo
Algorithmes Parallèles et Optimisation [IRIT-APO]
Centre National de la Recherche Scientifique [CNRS]

COULAUD, Olivier
COmposabilité Numerique and parallèle pour le CAlcul haute performanCE [CONCACE]

Idioma

Communication dans un congrès

Este ítem está publicado en

International Parallel and Distributed Processing Symposium, International Parallel and Distributed Processing Symposium, IPDPS 2023 - 37th International Parallel and Distributed Processing Symposium, 2023-05-15, St. Petersburg, FL. 2023-06p. 357-367

Resumen en inglés

Dense matrix multiplication involving a symmetric input matrix (SYMM) is implemented in reference distributed-memory codes with the same data distribution as its general analogue (GEMM). We show that, when the symmetric matrix is dominant, such a 2D block-cyclic (2D BC) scheme leads to a lower arithmetic intensity (AI) of SYMM than that of GEMM by a factor of 2. We propose alternative data distributions preserving the memory benefit of SYMM of storing only half of the matrix while achieving up to the same AI as GEMM. We also show that, in the case we can afford the same memory footprint as GEMM, SYMM can achieve a higher AI. We propose a task-based design of SYMM independent of the data distribution. This design allows for scalable A-stationary SYMM with which all discussed data distributions, may they be very irregular, can be easily assessed. We have integrated the resulting code in a reduction dimension algorithm involving a randomized singular value decomposition dominated by SYMM. An experimental study shows a compelling impact on performance.< Leer menos

Palabras clave en inglés

Matrix multiplication

SYMM

GEMM

2DBC

task-based programming

Symmetric

SBC

TBC

2.5D

Proyecto ANR

Solveurs pour architectures hétérogènes utilisant des supports d'exécution, objectif scalabilité - ANR-19-CE46-0009

Orígen

Importado de Hal

Centros de investigación

BioGeCo (Biodiversité Gènes & Communautés) - UMR 1202