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» The computational complexity of choice sets
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AUTOMATICA
2008
75views more  AUTOMATICA 2008»
15 years 6 months ago
Optimal complexity reduction of polyhedral piecewise affine systems
This paper focuses on the NP-hard problem of reducing the complexity of piecewise polyhedral systems (e.g. polyhedral piecewise affine (PWA) systems). The results are fourfold. Fi...
Tobias Geyer, Fabio Danilo Torrisi, Manfred Morari
LOGCOM
2010
96views more  LOGCOM 2010»
15 years 5 months ago
The Complexity of the Warranted Formula Problem in Propositional Argumentation
The notion of warrant or justification is one of the central concepts in formal models of argumentation. The dialectical definition of warrant is expressed in terms of recursive...
Robin Hirsch, Nikos Gorogiannis
CORR
2012
Springer
183views Education» more  CORR 2012»
14 years 2 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
ICTAI
2008
IEEE
16 years 28 days ago
Answering Complex Questions Using Query-Focused Summarization Technique
Unlike simple questions, complex questions cannot be answered by simply extracting named entities. These questions require inferencing and synthesizing information from multiple d...
Yllias Chali, Shafiq R. Joty
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
16 years 21 days ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod