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11/14/2022
Complete Decomposition of Symmetric Tensors in Linear Time and Polylogarithmic Precision
We study symmetric tensor decompositions, i.e. decompositions of the inp...
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10/11/2021
Black Box Absolute Reconstruction for Sums of Powers of Linear Forms
We study the decomposition of multivariate polynomials as sums of powers...
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06/03/2020
On tensor rank and commuting matrices
Obtaining superlinear lower bounds on tensor rank is a major open proble...
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12/04/2019
Derandomization and absolute reconstruction for sums of powers of linear forms
We study the decomposition of multivariate polynomials as sums of powers...
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05/13/2019
Orthogonal tensor decomposition and orbit closures from a linear algebraic perspective
We study orthogonal decompositions of symmetric and ordinary tensors usi...
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04/01/2019
Intersection multiplicity of a sparse curve and a low-degree curve
Let F(x, y) ∈C[x,y] be a polynomial of degree d and let G(x,y) ∈C[x,y] b...
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07/10/2018
Orbits of monomials and factorization into products of linear forms
This paper is devoted to the factorization of multivariate polynomials i...
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09/11/2017
Root Separation for Trinomials
We give a separation bound for the complex roots of a trinomial f ∈Z[X]....
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07/19/2016