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Describing the dimension reduction (DR) techniques by means of probabilistic models has recently been given special attention. Probabilistic models, in addition to a better interpretability of the DR methods, provide a framework for further…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Mehran Safayani , Saeid Momenzadeh

In this paper, we compared the general forms of CCA and PLS on three simulated and two empirical datasets, all having large sample sizes. We took successively smaller subsamples of these data to evaluate sensitivity, reliability, and…

Methodology · Statistics 2022-06-28 Anthony R McIntosh

We investigate the identifiability of nonlinear Canonical Correlation Analysis (CCA) in a multi-view setup, where each view is generated by an unknown nonlinear map applied to a linear mixture of shared latents and view-private noise.…

Machine Learning · Computer Science 2026-03-02 Zhiwei Han , Stefan Matthes , Hao Shen

We study the problem of acoustic feature learning in the setting where we have access to another (non-acoustic) modality for feature learning but not at test time. We use deep variational canonical correlation analysis (VCCA), a recently…

Computer Vision and Pattern Recognition · Computer Science 2017-09-01 Qingming Tang , Weiran Wang , Karen Livescu

Canonical correlation analysis is a widely used multivariate statistical technique for exploring the relation between two sets of variables. This paper considers the problem of estimating the leading canonical correlation directions in…

Statistics Theory · Mathematics 2015-10-16 Chao Gao , Zongming Ma , Zhao Ren , Harrison H. Zhou

In order to encode additional statistical information in data fusion and transfer learning applications, we introduce a generalized covariance constraint for the matching component analysis (MCA) transfer learning technique. We provide a…

Machine Learning · Computer Science 2022-12-15 Nick Lorenzo , Sean O'Rourke , Theresa Scarnati

Disease prediction or classification using health datasets involve using well-known predictors associated with the disease as features for the models. This study considers multiple data components of an individual's health, using the…

Machine Learning · Computer Science 2016-08-18 Aileme Omogbai

Linking two data sources is a basic building block in numerous computer vision problems. Canonical Correlation Analysis (CCA) achieves this by utilizing a linear optimizer in order to maximize the correlation between the two views. Recent…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Aviv Eisenschtat , Lior Wolf

We propose using canonical correlation analysis (CCA) to generate features from sequences of medical billing codes. Applying this novel use of CCA to a database of medical billing codes for patients with diverticulitis, we first demonstrate…

Machine Learning · Statistics 2017-01-09 Corinne L. Jones , Sham M. Kakade , Lucas W. Thornblade , David R. Flum , Abraham D. Flaxman

Canonical correlation analysis (CCA) is a state-of-the-art method for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interface (BCI) systems. Various extended methods have been developed, and…

Neurons and Cognition · Quantitative Biology 2018-07-03 Yangsong Zhang , Erwei Yin , Fali Li , Yu Zhang , Toshihisa Tanaka , Qibin Zhao , Yan Cui , Peng Xu , Dezhong Yao , Daqing Guo

This paper deals with asymptotics for multiple-set linear canonical analysis (MSLCA). A definition of this analysis, that adapts the classical one to the context of Euclidean random variables, is given and properties of the related…

Statistics Theory · Mathematics 2017-04-24 Guy Martial Nkiet

Multimodal signals are more powerful than unimodal data for emotion recognition since they can represent emotions more comprehensively. In this paper, we introduce deep canonical correlation analysis (DCCA) to multimodal emotion…

Machine Learning · Computer Science 2019-08-16 Wei Liu , Jie-Lin Qiu , Wei-Long Zheng , Bao-Liang Lu

Sparse Canonical Correlation Analysis (CCA) has received considerable attention in high-dimensional data analysis to study the relationship between two sets of random variables. However, there has been remarkably little theoretical…

Statistics Theory · Mathematics 2013-11-26 Mengjie Chen , Chao Gao , Zhao Ren , Harrison H. Zhou

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

Machine Learning · Statistics 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

We address the problem of predicting a target ordinal variable based on observable features consisting of functional profiles. This problem is crucial, especially in decision-making driven by sensor systems, when the goal is to assess an…

Generalized Eigenvalue Problems (GEPs) encompass a range of interesting dimensionality reduction methods. Development of efficient stochastic approaches to these problems would allow them to scale to larger datasets. Canonical Correlation…

Machine Learning · Computer Science 2023-01-10 James Chapman , Ana Lawry Aguila , Lennie Wells

Generalized principal component analysis (GLM-PCA) facilitates dimension reduction of non-normally distributed data. We provide a detailed derivation of GLM-PCA with a focus on optimization. We also demonstrate how to incorporate…

Machine Learning · Computer Science 2019-07-08 F. William Townes

To understand the biology of cancer, joint analysis of multiple data modalities, including imaging and genomics, is crucial. The involved nature of gene-microenvironment interactions necessitates the use of algorithms which treat both data…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Vaishnavi Subramanian , Benjamin Chidester , Jian Ma , Minh N. Do

We extend multi-way, multivariate ANOVA-type analysis to cases where one covariate is the view, with features of each view coming from different, high-dimensional domains. The different views are assumed to be connected by having paired…

Machine Learning · Statistics 2009-12-17 Ilkka Huopaniemi , Tommi Suvitaival , Janne Nikkilä , Matej Orešič , Samuel Kaski

Clustered and longitudinal data are pervasive in scientific studies, from prenatal health programs to clinical trials and public health surveillance. Such data often involve non-Gaussian responses--including binary, categorical, and count…

Methodology · Statistics 2025-09-19 Yibo Wang , Chenlei Leng , Cheng Yong Tang