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Kernel (statistics)

About: Kernel (statistics) is a(n) research topic. Over the lifetime, 29181 publication(s) have been published within this topic receiving 638765 citation(s). The topic is also known as: kernel function & kernel functions.

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Papers
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Open accessBook
Christopher M. Bishop1Institutions (1)
17 Aug 2006-
Abstract: Probability Distributions.- Linear Models for Regression.- Linear Models for Classification.- Neural Networks.- Kernel Methods.- Sparse Kernel Machines.- Graphical Models.- Mixture Models and EM.- Approximate Inference.- Sampling Methods.- Continuous Latent Variables.- Sequential Data.- Combining Models.

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Topics: Kernel method (60%), Kernel (statistics) (60%), Graphical model (58%) ...read more

22,762 Citations


BookDOI: 10.1201/9781315140919
01 Jan 1986-
Abstract: Introduction. Survey of Existing Methods. The Kernel Method for Univariate Data. The Kernel Method for Multivariate Data. Three Important Methods. Density Estimation in Action.

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15,308 Citations


Journal ArticleDOI: 10.1109/34.1000236
Dorin Comaniciu1, Peter Meer1Institutions (1)
Abstract: A general non-parametric technique is proposed for the analysis of a complex multimodal feature space and to delineate arbitrarily shaped clusters in it. The basic computational module of the technique is an old pattern recognition procedure: the mean shift. For discrete data, we prove the convergence of a recursive mean shift procedure to the nearest stationary point of the underlying density function and, thus, its utility in detecting the modes of the density. The relation of the mean shift procedure to the Nadaraya-Watson estimator from kernel regression and the robust M-estimators; of location is also established. Algorithms for two low-level vision tasks discontinuity-preserving smoothing and image segmentation - are described as applications. In these algorithms, the only user-set parameter is the resolution of the analysis, and either gray-level or color images are accepted as input. Extensive experimental results illustrate their excellent performance.

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Topics: Mean-shift (63%), Smoothing (58%), Estimator (56%) ...read more

11,014 Citations


Open access
Christopher M. Bishop1Institutions (1)
01 Jan 2006-
Abstract: Probability Distributions.- Linear Models for Regression.- Linear Models for Classification.- Neural Networks.- Kernel Methods.- Sparse Kernel Machines.- Graphical Models.- Mixture Models and EM.- Approximate Inference.- Sampling Methods.- Continuous Latent Variables.- Sequential Data.- Combining Models.

...read more

Topics: Kernel method (60%), Kernel (statistics) (60%), Graphical model (58%) ...read more

10,141 Citations


Open accessJournal ArticleDOI: 10.1162/089976698300017467
01 Jul 1998-Neural Computation
Abstract: A new method for performing a nonlinear form of principal component analysis is proposed. By the use of integral operator kernel functions, one can efficiently compute principal components in high-dimensional feature spaces, related to input space by some nonlinear map—for instance, the space of all possible five-pixel products in 16 × 16 images. We give the derivation of the method and present experimental results on polynomial feature extraction for pattern recognition.

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Topics: Kernel principal component analysis (69%), Kernel method (63%), Polynomial kernel (63%) ...read more

7,611 Citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202252
20212,173
20201,950
20191,821
20181,718
20171,639

Top Attributes

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Topic's top 5 most impactful authors

Bernhard Schölkopf

107 papers, 24.8K citations

Arthur Gretton

105 papers, 10.3K citations

Johan A. K. Suykens

76 papers, 1.8K citations

Jose C. Principe

73 papers, 2.5K citations

Kenji Fukumizu

58 papers, 4.5K citations

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