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» Imaginaries in Hilbert spaces
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ALT
2005
Springer
14 years 4 months ago
Measuring Statistical Dependence with Hilbert-Schmidt Norms
Abstract. We propose an independence criterion based on the eigenspectrum of covariance operators in reproducing kernel Hilbert spaces (RKHSs), consisting of an empirical estimate ...
Arthur Gretton, Olivier Bousquet, Alex J. Smola, B...
VLDB
1994
ACM
129views Database» more  VLDB 1994»
13 years 11 months ago
Hilbert R-tree: An Improved R-tree using Fractals
We propose a new R-tree structure that outperforms all the older ones. The heart of the idea is to facilitate the deferred splitting approach in R-trees. This is done by proposing...
Ibrahim Kamel, Christos Faloutsos
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 7 months ago
The Euclidean Distortion of Flat Tori
We show that for every n-dimensional lattice L the torus Rn /L can be embedded with distortion O(n
Ishay Haviv, Oded Regev
FOCM
2008
140views more  FOCM 2008»
13 years 7 months ago
Online Gradient Descent Learning Algorithms
This paper considers the least-square online gradient descent algorithm in a reproducing kernel Hilbert space (RKHS) without explicit regularization. We present a novel capacity i...
Yiming Ying, Massimiliano Pontil
MLQ
2000
73views more  MLQ 2000»
13 years 7 months ago
Sequential Continuity of Functions in Constructive Analysis
It is shown, constructively, that the mapping T AT is sequentially continuous with respect to the weak
Douglas S. Bridges, Ayan Mahalanobis