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» On LR(k)-Parsers of Polynomial Size
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IANDC
2006
102views more  IANDC 2006»
14 years 9 months ago
Polynomial certificates for propositional classes
This paper studies the complexity of learning classes of expressions in propositional logic from equivalence queries and membership queries. In particular, we focus on bounding th...
Marta Arias, Aaron Feigelson, Roni Khardon, Rocco ...
SPAA
2005
ACM
15 years 3 months ago
Parallelizing time with polynomial circuits
We study the problem of asymptotically reducing the runtime of serial computations with circuits of polynomial size. We give an algorithmic size-depth tradeoff for parallelizing ...
Ryan Williams
JSC
2007
80views more  JSC 2007»
14 years 9 months ago
Improved dense multivariate polynomial factorization algorithms
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
Grégoire Lecerf
ICASSP
2011
IEEE
14 years 1 months ago
Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomial-complexity solvability and algorithmic developments
The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. Howeve...
Anastasios T. Kyrillidis, George N. Karystinos
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
15 years 10 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka