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» A General Polynomial Sieve
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SIAMMAX
2010
103views more  SIAMMAX 2010»
13 years 3 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
MKM
2009
Springer
14 years 3 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
ML
2007
ACM
108views Machine Learning» more  ML 2007»
13 years 8 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
DM
2008
107views more  DM 2008»
13 years 7 months ago
Set maps, umbral calculus, and the chromatic polynomial
Some important properties of the chromatic polynomial also hold for any polynomial set map satisfying pS(x + y) = TU=S pT (x)pU (y). Using umbral calculus, we give a formula for t...
Gus Wiseman
ICALP
2011
Springer
13 years 2 days ago
On Tree-Constrained Matchings and Generalizations
We consider the following Tree-Constrained Bipartite Matching problem: Given two rooted trees T1 = (V1, E1), T2 = (V2, E2) and a weight function w : V1 × V2 → R+, find a maximu...
Stefan Canzar, Khaled M. Elbassioni, Gunnar W. Kla...