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» Lattice-valued convergence spaces and regularity
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FSS
2008
82views more  FSS 2008»
13 years 4 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger
JMLR
2006
143views more  JMLR 2006»
13 years 4 months ago
Consistency and Convergence Rates of One-Class SVMs and Related Algorithms
We determine the asymptotic behaviour of the function computed by support vector machines (SVM) and related algorithms that minimize a regularized empirical convex loss function i...
Régis Vert, Jean-Philippe Vert
COLT
2006
Springer
13 years 8 months ago
Uniform Convergence of Adaptive Graph-Based Regularization
Abstract. The regularization functional induced by the graph Laplacian of a random neighborhood graph based on the data is adaptive in two ways. First it adapts to an underlying ma...
Matthias Hein
ADCM
2007
114views more  ADCM 2007»
13 years 5 months ago
Convergence analysis of online algorithms
In this paper, we are interested in the analysis of regularized online algorithms associated with reproducing kernel Hilbert spaces. General conditions on the loss function and st...
Yiming Ying
SCL
2011
12 years 7 months ago
Regularity issues for the null-controllability of the linear 1-d heat equation
The fact that the heat equation is controllable to zero in any bounded domain of the euclidean space, any time T > 0 and from any open subset of the boundary is well known. On ...
Sorin Micu, Enrique Zuazua