Hilbert space

Known as: Linear Algebra/Hilbert Spaces, Hilbert space dimension, Separable Hilbert space 
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector… (More)
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Papers overview

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Highly Cited
2010
Highly Cited
2010
Hidden Markov Models (HMMs) are important tools for modeling sequence data. However, they are restricted to discrete latent… (More)
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Highly Cited
2010
Highly Cited
2010
A Hilbert space embedding for probability measures has recently been proposed (Gretton et al., 2007; Smola et al., 2007), with… (More)
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Highly Cited
2008
Highly Cited
2008
A Hilbert space embedding for probability measures has recently been proposed, with applications including dimensionality… (More)
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Highly Cited
2005
Highly Cited
2005
We propose an independence criterion based on the eigenspectrum of covariance operators in reproducing kernel Hilbert spaces… (More)
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Highly Cited
2005
Highly Cited
2005
Several methods for solving systems of equilibrium problems in Hilbert spaces – and for finding best approximations thereof – are… (More)
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Highly Cited
2004
Highly Cited
2004
This paper describes the Jensen-Shannon divergence (JSD) and Hilbert space embedding. With natural definitions making these… (More)
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Highly Cited
2004
Highly Cited
2004
We propose a novel method of dimensionality reduction for supervised learning problems. Given a regression or classification… (More)
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Highly Cited
2001
Highly Cited
2001
Several schemes for linear mapping of multidimensional space have been proposed for many applications such as access methods for… (More)
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Highly Cited
2001
Highly Cited
2001
A family of regularized least squares regression models in a Reproducing Kernel Hilbert Space is extended by the kernel partial… (More)
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Highly Cited
1989
Highly Cited
1989
A representation theorem for infinite-dimensional, linear control systems is proved in the context of strongly continuous… (More)
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