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In causal inference with ordinal outcomes, several interpretable estimands are functions of the probability that the potential outcome under one treatment is larger than that under another treatment for the same unit. This probability…

Methodology · Statistics 2026-05-13 Peiyu He , Fan Li

Given two sets of variables, derived from a common set of samples, sparse Canonical Correlation Analysis (CCA) seeks linear combinations of a small number of variables in each set, such that the induced canonical variables are maximally…

Machine Learning · Statistics 2016-05-31 Megasthenis Asteris , Anastasios Kyrillidis , Oluwasanmi Koyejo , Russell Poldrack

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

Machine Learning · Computer Science 2020-06-18 Benjamin Dutton

Ordinal data occur frequently in the social sciences. When applying principal component analysis (PCA), however, those data are often treated as numeric implying linear relationships between the variables at hand, or non-linear PCA is…

Applications · Statistics 2023-01-18 Aisouda Hoshiyar , Henk A. L. Kiers , Jan Gertheiss

Canonical correlation analysis (CCA) is a technique to find statistical dependencies between a pair of multivariate data. However, its application to high dimensional data is limited due to the resulting time complexity. While the…

Machine Learning · Computer Science 2020-12-29 Naoko Koide-Majima , Kei Majima

Functional data analysis, which handles data arising from curves, surfaces, volumes, manifolds and beyond in a variety of scientific fields, is a rapidly developing area in modern statistics and data science in the recent decades. The…

Methodology · Statistics 2020-08-21 Xiaoke Zhang , Wu Xue , Qiyue Wang

The main idea of canonical correlation analysis (CCA) is to map different views onto a common latent space with maximum correlation. We propose a deep interpretable variational canonical correlation analysis (DICCA) for multi-view learning.…

Machine Learning · Statistics 2022-03-03 Lin Qiu , Lynn Lin , Vernon M. Chinchilli

Attribute detection is crucial for many computer vision tasks, as it enables systems to describe properties such as color, texture, and material. Current approaches often rely on labor-intensive annotation processes which are inherently…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Marco Garosi , Alessandro Conti , Gaowen Liu , Elisa Ricci , Massimiliano Mancini

Canonical correlation analysis (CCA) is a technique for measuring the association between two multivariate data matrices. A regularized modification of canonical correlation analysis (RCCA) which imposes an $\ell_2$ penalty on the CCA…

Methodology · Statistics 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

Canonical Correlation Analysis, CCA, is a widely used multivariate method in omics research for integrating high dimensional datasets. CCA identifies hidden links by deriving linear projections of features maximally correlating datasets.…

Methodology · Statistics 2025-10-31 Nuria Senar , Aeilko H. Zwinderman , Michel H. Hof and

The canonical correlation analysis (CCA) is commonly used to analyze data sets with paired data, e.g. measurements of gene expression and metabolomic intensities of the same experiments. This allows to find interesting relationships between…

We present deep variational canonical correlation analysis (VCCA), a deep multi-view learning model that extends the latent variable model interpretation of linear CCA to nonlinear observation models parameterized by deep neural networks.…

Machine Learning · Computer Science 2017-02-28 Weiran Wang , Xinchen Yan , Honglak Lee , Karen Livescu

Reducing the number of false discoveries is presently one of the most pressing issues in the life sciences. It is of especially great importance for many applications in neuroimaging and genomics, where datasets are typically…

Methodology · Statistics 2018-06-26 Alexej Gossmann , Pascal Zille , Vince Calhoun , Yu-Ping Wang

Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

Machine Learning · Computer Science 2016-03-01 Weiran Wang , Karen Livescu

Canonical correlation analysis (CCA) is a valuable method for interpreting cross-covariance across related datasets of different dimensionality. There are many potential applications of CCA to neuroimaging data analysis. For instance, CCA…

Quantitative Methods · Quantitative Biology 2015-03-06 Natalia Y. Bilenko , Jack L. Gallant

Incorporating covariates into functional principal component analysis (PCA) can substantially improve the representation efficiency of the principal components and predictive performance. However, many existing functional PCA methods do not…

Methodology · Statistics 2023-08-22 Fei Ding , Shiyuan He , David E. Jones , Jianhua Z. Huang

In order to address complex systems, apply pattern recongnition on their evolution could play an key role to understand their dynamics. Global patterns are required to detect emergent concepts and trends, some of them with qualitative…

Artificial Intelligence · Computer Science 2011-08-05 Gonzalo A. Aranda-Corral , Joaquín Borrego-Díaz , Juan Galán-Páez

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

Feature selection refers to the process of selecting useful features for machine learning tasks, and it is also a key step for structural health monitoring (SHM). This paper proposes a fast feature selection algorithm by efficiently…

Machine Learning · Statistics 2024-09-11 Sikai Zhang , Tingna Wang , Keith Worden , Limin Sun , Elizabeth J. Cross

Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional…

Statistics Theory · Mathematics 2018-01-23 Zhuang Ma , Xiaodong Li