- DISTAL: the distributed tensor algebra compiler
2022/03/15 by Rohan Yadav, Alex Aiken, Fredrik Kjolstad +1 · 1 voice · 4 citations
Computer Science · Mathematics · #Algebra over a field #Algorithms and Data Compression #Compiler #Computation #Computer science #Linear algebra #Mathematics #Parallel Computing and Optimization Techniques #Parallel computing #Programming language #Tensor (intrinsic definition) #Tensor algebra #Tensor decomposition and applications #Theoretical computer science
- Most Tensor Problems Are NP-Hard
2013/11/01 by Christopher J. Hillar, Lek-Heng Lim, Lek‐Heng Lim · 174 citations
Computer Science · Mathematics · #Algebra over a field #Bilinear form #Bilinear interpolation #Cartesian tensor #Combinatorics #Eigenvalues and eigenvectors #Exact solutions in general relativity #Jordan algebra #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Matrix norm #Multilinear algebra #Multilinear map #Norm (philosophy) #Numerical Methods and Algorithms #Physics #Pure mathematics #Quantum mechanics #Rank (graph theory) #Singular value #Symmetric tensor #Tensor (intrinsic definition) #Tensor algebra #Tensor decomposition and applications #Tensor density #Tensor field
- xPerm: fast index canonicalization for tensor computer algebra
2008/03/06 by José M. Martín-García, Jose M. Martin-Garcia · 22 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Byte #Computer science #Geometry #Identifier #Linear algebra #Mathematics #Matrix Theory and Algorithms #Permutation (music) #Polynomial #Programming language #Pulsars and Gravitational Waves Research #Pure mathematics #Software #Subalgebra #Subroutine #Symbolic computation #Tensor (intrinsic definition) #Tensor algebra #Tensor decomposition and applications #Unix #cs.SC #gr-qc #hep-th
- Crystalizing theq-analogue of universal enveloping algebras
1990/10/01 by Masaki Kashiwara · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Base (topology) #Cellular algebra #Combinatorics #Computer science #Crystal (programming language) #Direct product #Geometry #Graph #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Product (mathematics) #Pure mathematics #Tensor (intrinsic definition) #Tensor algebra #Tensor product