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» Stability of kernel-based interpolation
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COMPGEOM
2006
ACM
14 years 4 months ago
A sampling theory for compact sets in Euclidean space
Abstract We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size and the recently introduced weak feature size. Based on...
Frédéric Chazal, David Cohen-Steiner...
SMA
2010
ACM
206views Solid Modeling» more  SMA 2010»
13 years 8 months ago
A generalization for stable mixed finite elements
Mixed finite element methods solve a PDE involving two or more variables. In typical problems from electromagnetics and electrodiffusion, the degrees of freedom associated to the ...
Andrew Gillette, Chandrajit L. Bajaj
CORR
2010
Springer
64views Education» more  CORR 2010»
13 years 8 months ago
Dual Formulations of Mixed Finite Element Methods
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different varia...
Andrew Gillette, Chandrajit L. Bajaj
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
13 years 5 months ago
Robust controller design by convex optimization based on finite frequency samples of spectral models
Abstract-- Some frequency-domain controller design problems are solved using a finite number of frequency samples. Consequently, the performance and stability conditions are not gu...
Gorka Galdos, Alireza Karimi, Roland Longchamp
ICML
2004
IEEE
14 years 11 months ago
Learning with non-positive kernels
In this paper we show that many kernel methods can be adapted to deal with indefinite kernels, that is, kernels which are not positive semidefinite. They do not satisfy Mercer...
Alexander J. Smola, Cheng Soon Ong, Stéphan...