J. Landsberg

activity

19952023

most citedRanks of tensors and a generalization of secant varieties

90 citations · 333 across the 51 of their papers we have counts for

collaborators

Showing 2019 · cs.CCShow all

2 papers · 2 filters

cs.CC2019★ 2 cited

Towards finding hay in a haystack: explicit tensors of border rank greater than $2.02 m$ in $C^{m} \otimes C^{m} \otimes C^{m}$

J. M. Landsberg, Mateusz Michałek

We write down an explicit sequence of tensors in $C^{m} \otimes C^{m} \otimes C^{m}$ , for all $m$ sufficiently large, having border rank at least $2.02 m$ , overcoming a longstanding barrier…

cs.CC2019★ 13 cited

Rank and border rank of Kronecker powers of tensors and Strassen's laser method

Austin Conner, Fulvio Gesmundo, Joseph M. Landsberg +1

We prove that the border rank of the Kronecker square of the little Coppersmith-Winograd tensor $T_{c w, q}$ is the square of its border rank for $q > 2$ and that the border rank of…

Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in Cm⊗Cm⊗Cm

Rank and border rank of Kronecker powers of tensors and Strassen's laser method

Towards finding hay in a haystack: explicit tensors of border rank greater than $2.02 m$ in $C^{m} \otimes C^{m} \otimes C^{m}$