Design of a High-Performance GEMM-like Tensor–Tensor Multiplication

DOI10.1145/3157733zbMath1484.65092arXiv1607.00145OpenAlexW2963137752WikidataQ113310097 ScholiaQ113310097MaRDI QIDQ4581393

Paul Springer, Paolo Bientinesi

Publication date: 17 August 2018

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00145

zbMATH Keywords

high-performance computingtensor contractionsmatrix-matrix multiplicationdomain-specific code generator

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Parallel numerical computation (65Y05) Numerical linear algebra (65F99)

Related Items (9)

Multidimensional Array Data Management ⋮ TSFC: A Structure-Preserving Form Compiler ⋮ Architecture-based and target-oriented algorithm optimization of high-order methods via complete-search tensor contraction ⋮ High-Performance Tensor Contraction without Transposition ⋮ A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems ⋮ Deneb: an open-source high-performance multi-physical flow solver based on high-order DRM-DG method ⋮ Strassen's Algorithm for Tensor Contraction ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes III. Code optimization via tensor contraction ⋮ Efficient high-order spectral element discretizations for building block operators of CFD

Uses Software

• TensorToolbox
• NWChem
• P3DFFT
• MADNESS
• MKL
• Algorithm 862
• Algorithm 679
• BLIS
• Tensorlab
• TensorFlow
• TTC
• AUGEM
• cuDNN
• HPTT
• CTF
• fbfft

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