2 citations · 2 across the 4 of their papers we have counts for
4 papers
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza +1
This paper addresses centroids, which are fundamental invariants of tensors. Our main results are as follows: (i) The construction of explicit tensors with very large centroids, wh…
Concise tensors of minimal border rank
Joachim Jelisiejew, J. M. Landsberg, Arpan Pal
We determine defining equations for the set of concise tensors of minimal border rank in when and the set of concise minimal border rank -gen…
Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions
Hang Huang, J. M. Landsberg, Jianfeng Lu
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 geometr…
Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity
Austin Conner, Hang Huang, J. M. Landsberg
We determine the border ranks of tensors that could potentially advance the known upper bound for the exponent of matrix multiplication. The Kronecker square of the small …