Journal
ANNALS OF STATISTICS
Volume 36, Issue 3, Pages 1171-1220Publisher
INST MATHEMATICAL STATISTICS-IMS
DOI: 10.1214/009053607000000677
Keywords
machine learning; reproducing kernels; support vector machines; graphical models
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We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS) of functions defined on the data domain, expanded in terms of a kernel. Working in linear spaces of function has the benefit of facilitating the construction and analysis of learning algorithms while at the same time allowing large classes of functions. The latter include nonlinear functions as well as functions defined on nonvectorial data. We cover a wide range of methods, ranging from binary classifiers to sophisticated methods for estimation with structured data.
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