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08/10/2023
Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model
In this paper, we settle a conjecture due to Sturmfels and Uhler concern...
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09/23/2020
Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity
We determine the border ranks of tensors that could potentially advance ...
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11/18/2019
New lower bounds for matrix multiplication and the 3x3 determinant
Let M_〈 u,v,w〉∈ C^uv⊗ C^vw⊗ C^wu denote the matrix multiplication tensor...
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09/20/2019
Tensors with maximal symmetries
We classify tensors with maximal and next to maximal dimensional symmetr...
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09/10/2019
Kronecker powers of tensors and Strassen's laser method
We answer a question, posed implicitly by Coppersmith-Winogrand and Buer...
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11/13/2018
A geometric study of Strassen's asymptotic rank conjecture and its variants
We establish basic information about the set of tight tensors, the tenso...
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11/15/2017