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» On Polynomial Time Computation over Unordered Structures
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MST
1998
76views more  MST 1998»
15 years 1 months ago
Sharply Bounded Alternation and Quasilinear Time
We de ne the sharply bounded hierarchy, SBH(QL), a hierarchy of classes within P, using quasilinear-time computation and quanti cation over strings of length logn. It generalizes ...
Stephen A. Bloch, Jonathan F. Buss, Judy Goldsmith
101
Voted
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
15 years 8 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
CORR
2006
Springer
117views Education» more  CORR 2006»
15 years 1 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain
104
Voted
BIRTHDAY
2009
Springer
15 years 8 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
110
Voted
CORR
2010
Springer
167views Education» more  CORR 2010»
15 years 2 months ago
Network Flow Algorithms for Structured Sparsity
We consider a class of learning problems that involve a structured sparsityinducing norm defined as the sum of -norms over groups of variables. Whereas a lot of effort has been pu...
Julien Mairal, Rodolphe Jenatton, Guillaume Obozin...