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» Arithmetic Circuits and the Hadamard Product of Polynomials
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FSTTCS
2009
Springer
13 years 11 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
STOC
2010
ACM
204views Algorithms» more  STOC 2010»
14 years 2 months ago
On the Hardness of the Noncommutative Determinant
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...
Vikraman Arvind and Srikanth Srinivasan
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 4 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
CRYPTO
2009
Springer
89views Cryptology» more  CRYPTO 2009»
13 years 11 months ago
Linear Algebra with Sub-linear Zero-Knowledge Arguments
We suggest practical sub-linear size zero-knowledge arguments for statements involving linear algebra. Given commitments to matrices over a finite field, we give a sub-linear siz...
Jens Groth
DAC
2008
ACM
14 years 5 months ago
The synthesis of robust polynomial arithmetic with stochastic logic
As integrated circuit technology plumbs ever greater depths in the scaling of feature sizes, maintaining the paradigm of deterministic Boolean computation is increasingly challeng...
Weikang Qian, Marc D. Riedel