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DMIN
2006
115views Data Mining» more  DMIN 2006»
14 years 11 months ago
Indexing Spatio-Temporal Trajectories with Orthogonal Polynomials
Abstract-- In this paper we consider d-dimensional spatiotemporal data (d 1) and ways to approximate and index it. We focus on indexing such data for similarity matching using orth...
Elena Braynova
SIAMJO
2010
107views more  SIAMJO 2010»
14 years 4 months ago
Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Etienne de Klerk, Monique Laurent
88
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SIAMMAX
2010
103views more  SIAMMAX 2010»
14 years 4 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
DAM
2006
78views more  DAM 2006»
14 years 9 months ago
Hybrid rounding techniques for knapsack problems
We address the classical knapsack problem and a variant in which an upper bound is imposed on the number of items that can be selected. We show that appropriate combinations of ro...
Monaldo Mastrolilli, Marcus Hutter
DGCI
2006
Springer
15 years 1 months ago
Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard
This paper deals with the complexity of the decomposition of a digital surface into digital plane segments (DPS for short). We prove that the decision problem (does there exist a ...
Isabelle Sivignon, David Coeurjolly