Face recognition using kernel principal component analysis [PDF]
A kernel principal component analysis (PCA) was previously proposed as a nonlinear extension of a PCA. The basic idea is to first map the input space into a feature space via nonlinear mapping and then compute the principal components in that feature space. This article adopts the kernel PCA as a mechanism for extracting facial features.
Kim, Kwang In +2 more
core +11 more sources
Online Kernel Principal Component Analysis: A Reduced-Order Model [PDF]
Kernel principal component analysis (kernel-PCA) is an elegant nonlinear extension of one of the most used data analysis and dimensionality reduction techniques, the principal component analysis. In this paper, we propose an online algorithm for kernel-PCA. To this end, we examine a kernel-based version of Oja's rule, initially put forward to extract a
Honeine, Paul
core +7 more sources
Kernel Near Principal Component Analysis [PDF]
We propose a novel algorithm based on Principal Component Analysis (PCA). First, we present an interesting approximation of PCA using Gram-Schmidt orthonormalization. Next, we combine our approximation with the kernel functions from Support Vector Machines (SVMs) to provide a nonlinear generalization of PCA.
Martin, Shawn B.
openaire +3 more sources
Kernel principal component analysis (KPCA) for the de-noising of communication signals [PDF]
This paper is concerned with the problem of de-noising for non-linear signals. Principal Component Analysis (PCA) cannot be applied to non-linear signals however it is known that using kernel functions, a non-linear signal can be transformed into a ...
Koutsogiannis, G., Soraghan, J.J.
core +4 more sources
Comparison Between The Method of Principal Component Analysis And Principal Component Analysis Kernel For Imaging Dimensionality Reduction [PDF]
This paper tackles with two methods to dimensionality reduction, namely principal component analysis (PCA ) in the case of linear combinations and kernel principal component analysis method in the case of nonlinear combinations to digital image ...
Assel Muslim Essa, Asmaa Ghalib Alrawi
doaj +1 more source
Cohort-based kernel principal component analysis with Multi-path Service Routing in Federated Learning [PDF]
Federated Learning (FL) is a machine learning (ML) strategy that is performed in a decentralized environment. The training is performed locally by the client on the global model shared by the server. Federated learning has recently been used as a service
Hira S. Sikandar +9 more
core +1 more source
JEDi: java essential dynamics inspector — a molecular trajectory analysis toolkit
Background Principal component analysis (PCA) is commonly applied to the atomic trajectories of biopolymers to extract essential dynamics that describe biologically relevant motions. Although application of PCA is straightforward, specialized software to
Charles C. David +2 more
doaj +1 more source
Statistical properties of kernel principal component analysis [PDF]
The properties of the eigenvalues of Gram matrices are studied in a non-asymptotic setting. Using local Rademacher averages, we provide data-dependent and tight bounds for their convergence towards eigenvalues of the corresponding kernel operator. We perform these computations in a functional analytic framework which allows to deal implicitly with ...
Blanchard, Gilles +2 more
openaire +7 more sources
Hyperspectral image classification based on spectral-spatial kernel principal component analysis network [PDF]
Hyperspectral imagery contains both spectral information and spatial relationships among pixels. How to combine spatial information with spectral information effectively has always been a research hotspot of hyperspectral image classification.
Fan Yanguo, Hou Shizhe, Yu Dingfeng
doaj +1 more source
Robust Kernel Principal Component Analysis With ℓ2,1-Regularized Loss Minimization
Principal component analysis (PCA) is a widely used unsupervised method for dimensionality reduction. The kernelized version is called kernel principal component analysis (KPCA), which can capture the nonlinear data structure.
Duo Wang, Toshihisa Tanaka
doaj +1 more source

