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» On the Complexity of the Interlace Polynomial
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ECCC
2010
79views more  ECCC 2010»
15 years 6 months ago
IP = PSPACE using Error Correcting Codes
The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem ...
Or Meir
ICASSP
2011
IEEE
14 years 10 months ago
Global convergence of independent component analysis based on semidefinite programming relaxation
In the independent component analysis, polynomial functions of higher order statistics are often used as cost functions. However, such cost functions usually have many local minim...
Shotaro Akaho, Jun Fujiki
STOC
2010
ACM
204views Algorithms» more  STOC 2010»
16 years 3 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
ICCAD
2004
IEEE
121views Hardware» more  ICCAD 2004»
16 years 3 months ago
Factoring and eliminating common subexpressions in polynomial expressions
Polynomial expressions are used to compute a wide variety of mathematical functions commonly found in signal processing and graphics applications, which provide good opportunities...
Anup Hosangadi, Farzan Fallah, Ryan Kastner
PDCAT
2009
Springer
16 years 21 days ago
Balanced Dense Polynomial Multiplication on Multi-Cores
Abstract— In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix multiplication in numerical computation. We present efficient implementati...
Marc Moreno Maza, Yuzhen Xie