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09/14/2023
On Annihilators of Explicit Polynomial Maps
We study the algebraic complexity of annihilators of polynomials maps. I...
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01/04/2023
New Lower Bounds against Homogeneous Non-Commutative Circuits
We give several new lower bounds on size of homogeneous non-commutative ...
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02/26/2022
Transparency Beyond VNP in the Monotone Setting
Recently Hrubes and Yehudayoff (2021) showed a connection between the mo...
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03/01/2021
Separating ABPs and Some Structured Formulas in the Non-Commutative Setting
The motivating question for this work is a long standing open problem, p...
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02/25/2021
Generalized Parametric Path Problems
Parametric path problems arise independently in diverse domains, ranging...
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04/29/2020
On the Existence of Algebraically Natural Proofs
For every constant c > 0, we show that there is a family {P_N, c} of pol...
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11/26/2019
A Quadratic Lower Bound for Algebraic Branching Programs and Formulas
We show that any Algebraic Branching Program (ABP) computing the polynom...
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11/26/2019
A Quadratic Lower Bound for Algebraic Branching Programs
We show that any Algebraic Branching Program (ABP) computing the polynom...
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12/26/2018