scholarly journals Adaptive Kernel Canonical Correlation Analysis Algorithms for Nonparametric Identification of Wiener and Hammerstein Systems

2008 ◽  
Vol 2008 (1) ◽  
Author(s):  
Steven Van Vaerenbergh ◽  
Javier Vía ◽  
Ignacio Santamaría
Keyword(s):  
Correlation Analysis ◽  
Canonical Correlation Analysis ◽  
Canonical Correlation ◽  
Nonparametric Identification ◽  
Hammerstein Systems ◽  
Adaptive Kernel ◽  
Kernel Canonical Correlation Analysis

scholarly journals Local kernel canonical correlation analysis with application to virtual drug screening

2011 ◽  
Vol 5 (3) ◽  
pp. 2169-2196 ◽  
Author(s):  
Daniel Samarov ◽  
J. S. Marron ◽  
Yufeng Liu ◽  
Christopher Grulke ◽  
Alexander Tropsha
Keyword(s):  
Correlation Analysis ◽  
Canonical Correlation Analysis ◽  
Drug Screening ◽  
Canonical Correlation ◽  
Kernel Canonical Correlation Analysis ◽  
Virtual Drug Screening

Robust kernel canonical correlation analysis to detect gene-gene co-associations: A case study in genetics

2019 ◽  
Vol 17 (04) ◽  
pp. 1950028 ◽  
Author(s):  
Md. Ashad Alam ◽  
Osamu Komori ◽  
Hong-Wen Deng ◽  
Vince D. Calhoun ◽  
Yu-Ping Wang
Keyword(s):  
Correlation Analysis ◽  
Canonical Correlation Analysis ◽  
Canonical Correlation ◽  
Enrichment Analysis ◽  
Superior Performance ◽  
Covariance Operator ◽  
Contaminated Data ◽  
Cross Covariance ◽  
Kernel Canonical Correlation Analysis ◽  
Kernel Cca

The kernel canonical correlation analysis based U-statistic (KCCU) is being used to detect nonlinear gene–gene co-associations. Estimating the variance of the KCCU is however computationally intensive. In addition, the kernel canonical correlation analysis (kernel CCA) is not robust to contaminated data. Using a robust kernel mean element and a robust kernel (cross)-covariance operator potentially enables the use of a robust kernel CCA, which is studied in this paper. We first propose an influence function-based estimator for the variance of the KCCU. We then present a non-parametric robust KCCU, which is designed for dealing with contaminated data. The robust KCCU is less sensitive to noise than KCCU. We investigate the proposed method using both synthesized and real data from the Mind Clinical Imaging Consortium (MCIC). We show through simulation studies that the power of the proposed methods is a monotonically increasing function of sample size, and the robust test statistics bring incremental gains in power. To demonstrate the advantage of the robust kernel CCA, we study MCIC data among 22,442 candidate Schizophrenia genes for gene–gene co-associations. We select 768 genes with strong evidence for shedding light on gene–gene interaction networks for Schizophrenia. By performing gene ontology enrichment analysis, pathway analysis, gene–gene network and other studies, the proposed robust methods can find undiscovered genes in addition to significant gene pairs, and demonstrate superior performance over several of current approaches.

A Kernel Canonical Correlation Analysis for Learning the Semantics of Text

2011 ◽  
pp. 263-282 ◽  
Author(s):  
Blaž Fortuna ◽  
Nello Cristianini ◽  
John Shawe-Taylor
Keyword(s):  
Correlation Analysis ◽  
Canonical Correlation Analysis ◽  
Canonical Correlation ◽  
Text Categorization ◽  
Semantic Space ◽  
Text Documents ◽  
Kernel Canonical Correlation Analysis ◽  
Text Query ◽  
Cross Lingual ◽  
General Method

We present a general method using kernel canonical correlation analysis (KCCA) to learn a semantic of text from an aligned multilingual collection of text documents. The semantic space provides a language-independent representation of text and enables a comparison between the text documents from different languages. In experiments, we apply the KCCA to the cross-lingual retrieval of text documents, where the text query is written in only one language, and to cross-lingual text categorization, where we trained a cross-lingual classifier.

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