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» Polynomial Interpretations and the Complexity of Algorithms
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TIM
2010
144views Education» more  TIM 2010»
14 years 6 months ago
Extending Polynomial Chaos to Include Interval Analysis
Polynomial chaos theory (PCT) has been proven to be an efficient and effective way to represent and propagate uncertainty through system models and algorithms in general. In partic...
Antonello Monti, Ferdinanda Ponci, Marco Valtorta
ISSAC
2009
Springer
123views Mathematics» more  ISSAC 2009»
15 years 6 months ago
Schemes for deterministic polynomial factoring
In this work we relate the deterministic complexity of factoring polynomials (over finite fields) to certain combinatorial objects, we call m-schemes, that are generalizations o...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
15 years 5 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke
CORR
2010
Springer
147views Education» more  CORR 2010»
14 years 12 months ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche
88
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TCOM
2010
65views more  TCOM 2010»
14 years 6 months ago
Evaluation of the distance spectrum of variable-length finite-state codes
The class of variable-length finite-state joint source-channel codes is defined and a polynomial complexity algorithm for the evaluation of their distance spectrum presented. Issu...
Claudio Weidmann, Michel Kieffer