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We propose a notation for tensors with named axes, which relieves the author, reader, and future implementers of machine learning models from the burden of keeping track of the order of axes and the purpose of each.
Die Grundlage der allgemeinen Relativitätstheorie
A. Einstein · 1916
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The extension of factor analysis to three-dimensional matrices
L. R. Tucker · 1964
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A relational model of data for large shared data banks
E. F. Codd · 1970
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Applications of negative dimensional tensors
Roger Penrose · 1971
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A precise definition of basic relational notations and of the relational algebra
Alain Pirotte · 1982
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Spinors and space-time , volume 1
R. Penrose and W. Rindler · 1984
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Matrix differential calculus with applications to simple, Hadamard, and Kronecker products
Jan R. Magnus and H. Neudecker · 1985
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A probabilistic relational model and algebra
Debabrata Dey and Sumit Sarkar · 1996
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A diagram notation for n-mode array equations
Bjørn K. Alsberg · 1997
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A probabilistic relational algebra for the integration of information retrieval and database systems
Norbert Fuhr and Thomas Rölleke · 1997
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An index formalism that generalizes the capabilities of matrix notation and algebra to n-way arrays
Richard A. Harshman · 2001
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Deep Learning
Ian Goodfellow, Yoshua Bengio, and Aaron Courville · 2016
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Tongfei Chen · 2017
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Nishant Sinha · 2018
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Yuxin Wu and Kaiming He · 2018
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Named tensors, 2019
Alexander Rush · 2019
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Named tensors, 2019
Torch Contributors · 2019
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Named axes and easy-to-revise parallelism, 2021
JAX authors · 2021
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Getting to the point: Index sets and parallelism-preserving autodiff for pointful array programming
Adam Paszke, Daniel D. Johnson, David Duvenaud, Dimitrios Vytiniotis, Alexey Radul, Matthew J. Johnson, Jonathan Ragan-Kelley, and Dougal Maclaurin · 2021
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Attention is all you need
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Łukasz Kaiser, and Illia Polosukhin · 2017
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Matt Bauman · 2018
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Computing higher order derivatives of matrix and tensor expressions
Soeren Laue, Matthias Mitterreiter, and Joachim Giesen · 2018
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Méthodes de calcul différentiel absolu et leurs applications
M. M. G. Ricci and T. Levi-Civita
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PyTorch documentation, 2022
PyTorch Contributors · 2022
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