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  5. Risk Bounds for Regularized Least-squares Algorithm with Operator-valued kernels

Risk Bounds for Regularized Least-squares Algorithm with Operator-valued kernels

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Author(s)
Vito, Ernesto De
•
Caponnetto, Andrea
Date Issued
May 16, 2005
Series/Report no.
Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory
Abstract
We show that recent results in [3] on risk bounds for regularized least-squares on reproducing kernel Hilbert spaces can be straightforwardly extended to the vector-valued regression setting. We first briefly introduce central concepts on operator-valued kernels. Then we show how risk bounds can be expressed in terms of a generalization of effective dimension.
Subjects
AI
optimal rates
reproducing kernel Hilbert space
effective dimension
Persistent DSpace Link
http://hdl.handle.net/1721.1/30543
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