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SIAMCO
2008
93views more  SIAMCO 2008»
15 years 3 months ago
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies ...
Jean-Michel Coron, Georges Bastin, Brigitte d'Andr...
SIAMNUM
2010
120views more  SIAMNUM 2010»
14 years 10 months ago
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross
Hyperbolic cross approximations by some classical orthogonal polynomials/functions in both bounded and unbounded domains are considered in this paper. Optimal error estimates in pr...
Jie Shen, Li-lian Wang
CIKM
2008
Springer
15 years 5 months ago
REDUS: finding reducible subspaces in high dimensional data
Finding latent patterns in high dimensional data is an important research problem with numerous applications. The most well known approaches for high dimensional data analysis are...
Xiang Zhang, Feng Pan, Wei Wang 0010
JMLR
2010
119views more  JMLR 2010»
14 years 10 months ago
Hubs in Space: Popular Nearest Neighbors in High-Dimensional Data
Different aspects of the curse of dimensionality are known to present serious challenges to various machine-learning methods and tasks. This paper explores a new aspect of the dim...
Milos Radovanovic, Alexandros Nanopoulos, Mirjana ...
JMLR
2010
186views more  JMLR 2010»
14 years 10 months ago
Dimensionality Estimation, Manifold Learning and Function Approximation using Tensor Voting
We address instance-based learning from a perceptual organization standpoint and present methods for dimensionality estimation, manifold learning and function approximation. Under...
Philippos Mordohai, Gérard G. Medioni