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Kernel Factory: An ensemble of kernel machines [PDF]
We propose an ensemble method for kernel machines. The training data is randomly split into a number of mutually exclusive partitions defined by a row and column parameter. Each partition forms an input space and is transformed by an automatically selected kernel function into a kernel matrix K.
M. BALLINGS, D. VAN DEN POEL
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Advances in kernel methods: support vector learning
, 1999Introduction to support vector learning roadmap. Part 1 Theory: three remarks on the support vector method of function estimation, Vladimir Vapnik generalization performance of support vector machines and other pattern classifiers, Peter Bartlett and ...
B. Scholkopf, C. Burges, Alex Smola
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An introduction to kernel-based learning algorithms
IEEE Trans. Neural Networks, 2001This paper provides an introduction to support vector machines, kernel Fisher discriminant analysis, and kernel principal component analysis, as examples for successful kernel-based learning methods.
K. Müller+4 more
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Reproducing kernel particle methods
, 1995A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed.
Wing Kam Liu, S. Jun, Y. Zhang
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A reliable data-based bandwidth selection method for kernel density estimation
, 1991We present a new method for data-based selection of the bandwidth in kernel density estimation which has excellent properties. It improves on a recent procedure of Park and Marron (which itself is a good method) in various ways. First, the new method has
S. Sheather, M. C. Jones
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Mathematical Social Sciences, 1992
We provide a better lower bound \(\varepsilon_{**}\) such that the kernel is a subset of the strong \(\varepsilon\)-core if \(\varepsilon\geq\varepsilon_{**}\).
Ching Yu Kan, Chih Chang
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We provide a better lower bound \(\varepsilon_{**}\) such that the kernel is a subset of the strong \(\varepsilon\)-core if \(\varepsilon\geq\varepsilon_{**}\).
Ching Yu Kan, Chih Chang
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An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
, 2016Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral ...
V. Paulsen, M. Raghupathi
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Partitionable Kernels for Mapping Kernels
2011 IEEE 11th International Conference on Data Mining, 2011Many of tree kernels in the literature are designed tanking advantage of the mapping kernel framework. The most important advantage of using this framework is that we have a strong theorem to examine positive definiteness of the resulting tree kernels.
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Canadian Journal of Mathematics, 1961
Let V be a paracompact real analytic manifold of dimension n ≥ 1. Following the terminology of the theory of distributions of Schwartz (4), is the linear space of infinitely differentiable functions with compact support in V with the appropriate inductive limit topology, is the Frechet space of infinitely differentiable functions on V, is the dual ...
J. De Barros-Neto, F. E. Browder
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Let V be a paracompact real analytic manifold of dimension n ≥ 1. Following the terminology of the theory of distributions of Schwartz (4), is the linear space of infinitely differentiable functions with compact support in V with the appropriate inductive limit topology, is the Frechet space of infinitely differentiable functions on V, is the dual ...
J. De Barros-Neto, F. E. Browder
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Journal of Economic Theory, 1997
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