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CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 4 months ago
Arithmetic circuits: the chasm at depth four gets wider
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Pascal Koiran
STACS
2010
Springer
13 years 11 months ago
Weakening Assumptions for Deterministic Subexponential Time Non-Singular Matrix Completion
Kabanets and Impagliazzo [KI04] show how to decide the circuit polynomial identity testing problem (CPIT) in deterministic subexponential time, assuming hardness of some explicit ...
Maurice Jansen
COCO
2004
Springer
119views Algorithms» more  COCO 2004»
13 years 8 months ago
Tight Lower Bounds for Certain Parameterized NP-Hard Problems
Based on the framework of parameterized complexity theory, we derive tight lower bounds on the computational complexity for a number of well-known NP-hard problems. We start by pr...
Jianer Chen, Benny Chor, Mike Fellows, Xiuzhen Hua...
ICALP
2010
Springer
13 years 9 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
IPL
2007
111views more  IPL 2007»
13 years 4 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov