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» On condition numbers of polynomial eigenvalue problems
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FOCS
2002
IEEE
14 years 13 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
ICDE
2008
IEEE
123views Database» more  ICDE 2008»
14 years 8 months ago
Handling Non-linear Polynomial Queries over Dynamic Data
Applications that monitor functions over rapidly and unpredictably changing data, express their needs as continuous queries. Our focus is on a rich class of queries, expressed as p...
Shetal Shah, Krithi Ramamritham
UAI
2004
13 years 8 months ago
PAC-learning Bounded Tree-width Graphical Models
We show that the class of strongly connected graphical models with treewidth at most k can be properly efficiently PAC-learnt with respect to the Kullback-Leibler Divergence. Prev...
Mukund Narasimhan, Jeff A. Bilmes
SIAMJO
2008
108views more  SIAMJO 2008»
13 years 7 months ago
Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
This paper discusses how to find the global minimum of functions that are summations of small polynomials ("small" means involving a small number of variables). Some spa...
Jiawang Nie, James Demmel
IS
2010
13 years 6 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley