research
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12/28/2022
Partial Degeneration of Tensors
Tensors are often studied by introducing preorders such as restriction a...
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11/14/2022
Border complexity via elementary symmetric polynomials
In (ToCT'20) Kumar surprisingly proved that every polynomial can be appr...
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11/01/2022
Persistent Tensors and Multiqudit Entanglement Transformation
We construct a lower bound of the tensor rank for a new class of tensors...
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05/04/2022
Degree-restricted strength decompositions and algebraic branching programs
We analyze Kumar's recent quadratic algebraic branching program size low...
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12/28/2020
Weighted Slice Rank and a Minimax Correspondence to Strassen's Spectra
Structural and computational understanding of tensors is the driving for...
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03/06/2020
Barriers for rectangular matrix multiplication
We study the algorithmic problem of multiplying large matrices that are ...
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11/06/2019
Variety Membership Testing, Algebraic Natural Proofs, and Geometric Complexity Theory
We study the variety membership testing problem in the case when the var...
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11/06/2017
On the complexity of hazard-free circuits
The problem of constructing hazard-free Boolean circuits dates back to t...
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08/27/2017
