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Kernel principal component analysis information


In the field of multivariate statistics, kernel principal component analysis (kernel PCA)[1] is an extension of principal component analysis (PCA) using techniques of kernel methods. Using a kernel, the originally linear operations of PCA are performed in a reproducing kernel Hilbert space.

  1. ^ Schölkopf, Bernhard; Smola, Alex; Müller, Klaus-Robert (1998). "Nonlinear Component Analysis as a Kernel Eigenvalue Problem". Neural Computation. 10 (5): 1299–1319. CiteSeerX 10.1.1.100.3636. doi:10.1162/089976698300017467. S2CID 6674407.

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Kernel principal component analysis

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statistics, kernel principal component analysis (kernel PCA) is an extension of principal component analysis (PCA) using techniques of kernel methods. Using...

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variables, called principal components Kernel principal component analysis, an extension of principal component analysis using techniques of kernel methods ANOVA-simultaneous...

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Nonlinear dimensionality reduction

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dimensionality reduction, such as singular value decomposition and principal component analysis. Consider a dataset represented as a matrix (or a database table)...

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Principal component regression

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In statistics, principal component regression (PCR) is a regression analysis technique that is based on principal component analysis (PCA). More specifically...

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Kernel method

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operating with kernels include the kernel perceptron, support-vector machines (SVM), Gaussian processes, principal components analysis (PCA), canonical...

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learning approaches based on artificial neural networks, kernel principal component analysis (KPCA), decision trees with boosting, random forest and automatic...

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algorithms for ICA include infomax, FastICA, JADE, and kernel-independent component analysis, among others. In general, ICA cannot identify the actual...

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popular dimension-reduction methods such as kernel principal component analysis, transfer component analysis, and covariance operator inverse regression...

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IDistance K-nearest neighbors algorithm Kernel methods for vector output Kernel principal component analysis Leabra Linde–Buzo–Gray algorithm Local outlier...

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Semidefinite embedding

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the observation that kernel Principal Component Analysis (kPCA) does not reduce the data dimensionality, as it leverages the Kernel trick to non-linearly...

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distribution Kernel density estimation Kernel Fisher discriminant analysis Kernel methods Kernel principal component analysis Kernel regression Kernel smoother...

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statistics, kernel Fisher discriminant analysis (KFD), also known as generalized discriminant analysis and kernel discriminant analysis, is a kernelized version...

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PCA as demonstrated by Ren et al. Principal component analysis can be employed in a nonlinear way by means of the kernel trick. The resulting technique is...

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divisive) K-means clustering Correlation clustering Kernel principal component analysis (Kernel PCA) Boosting (meta-algorithm) Bootstrap aggregating...

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Models (GMMs) Hidden Markov Models (HMMs) Kernel density estimation (KDE) Kernel Principal Component Analysis (KPCA) K-Means Clustering Least-Angle Regression...

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{\displaystyle n_{l}} principal component (PC) of the projection layer l {\displaystyle l} output in the feature domain induced by the kernel. To reduce the...

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FM) licensed to serve Petaluma, California, United States Kernel principal component analysis This disambiguation page lists articles associated with the...

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in sociology and economics. Affinity propagation Kernel principal component analysis Cluster analysis Spectral graph theory Demmel, J. "CS267: Notes for...

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geometric data analysis and statistical shape analysis, principal geodesic analysis is a generalization of principal component analysis to a non-Euclidean...

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Empirical orthogonal functions

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term is also interchangeable with the geographically weighted Principal components analysis in geophysics. The i th basis function is chosen to be orthogonal...

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generalization to EV. This incorporates Kernel principal component analysis, a non-linear version of Principal Component Analysis, to capture higher order correlations...

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coefficient Angles between flats Principal component analysis Linear discriminant analysis Regularized canonical correlation analysis Singular value decomposition...

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reduction: (Kernel) Fisher discriminant analysis (FDA), Spectral Regression Discriminant Analysis (SRDA), (kernel) Principal component analysis (PCA) Kernel-based...

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contribute to the development of the components of the system and free software. An analysis of the Linux kernel in 2017 showed that well over 85% of...

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as the Karhunen-Loève decomposition. A rigorous analysis of functional principal components analysis was done in the 1970s by Kleffe, Dauxois and Pousse...

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the LDA method. LDA is also closely related to principal component analysis (PCA) and factor analysis in that they both look for linear combinations of...

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regression) is a statistical method that bears some relation to principal components regression; instead of finding hyperplanes of maximum variance between...

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Bayes. The hyperparameters typically specify a prior covariance kernel. In case the kernel should also be inferred nonparametrically from the data, the critical...

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