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» Algorithms for trigonometric polynomials
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135
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TRIER
2002
15 years 13 days ago
Polynomial Constants are Decidable
Constant propagation aims at identifying expressions that always yield a unique constant value at run-time. It is well-known that constant propagation is undecidable for programs w...
Markus Müller-Olm, Helmut Seidl
110
Voted
ISAAC
2010
Springer
240views Algorithms» more  ISAAC 2010»
14 years 10 months ago
Interpretation of Stream Programs: Characterizing Type 2 Polynomial Time Complexity
We study polynomial time complexity of type 2 functionals. For that purpose, we introduce a first order functional stream language. We give criteria, named well-founded, on such pr...
Hugo Férée, Emmanuel Hainry, Mathieu...
91
Voted
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
16 years 1 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
83
Voted
LICS
2005
IEEE
15 years 6 months ago
A Polynomial Time Presburger Criterion and Synthesis for Number Decision Diagrams
Number Decision Diagrams (NDD) are the automatabased symbolic representation for manipulating sets of integer vectors encoded as strings of digit vectors (least or most significa...
Jérôme Leroux
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 4 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski