Zobrazeno 1 - 10
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pro vyhledávání: '"Landsberg J"'
Autor:
Huang, Hang, Landsberg, J. M.
Motivated by questions in theoretical computer science and quantum information theory, we study the classical problem of determining linear spaces of matrices of bounded rank. Spaces of bounded rank three were classified in 1983, and it has been a lo
Externí odkaz:
http://arxiv.org/abs/2306.14428
Autor:
Landsberg, J. M., Manivel, L.
We use representation theory to construct spaces of matrices of constant rank. These spaces are parametrized by the natural representation of the general linear group or the symplectic group. We present variants of this idea, with more complicated re
Externí odkaz:
http://arxiv.org/abs/2212.04228
Autor:
Landsberg, J. M.
This is a survey primarily about determining the border rank of tensors, especially those relevant for the study of the complexity of matrix multiplication. This is a subject that on the one hand is of great significance in theoretical computer scien
Externí odkaz:
http://arxiv.org/abs/2208.00857
We determine defining equations for the set of concise tensors of minimal border rank in $C^m\otimes C^m\otimes C^m$ when $m=5$ and the set of concise minimal border rank $1_*$-generic tensors when $m=5,6$. We solve this classical problem in algebrai
Externí odkaz:
http://arxiv.org/abs/2205.05713
Wave function ansatz based on the backflow transformation are widely used to parametrize anti-symmetric multivariable functions for many-body quantum problems. We study the geometric aspects of such ansatz, in particular we show that in general total
Externí odkaz:
http://arxiv.org/abs/2111.10314