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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

Recent developments in regularized Canonical Correlation Analysis (CCA) promise powerful methods for high-dimensional, multiview data analysis. However, justifying the structural assumptions behind many popular approaches remains a…

Methodology · Statistics 2025-11-18 Lennie Wells , Kumar Thurimella , Sergio Bacallado

Sparse canonical correlation analysis (CCA) is a useful statistical tool to detect latent information with sparse structures. However, sparse CCA works only for two datasets, i.e., there are only two views or two distinct objects. To…

Machine Learning · Computer Science 2020-04-24 Jia Cai , Kexin Lv , Junyi Huo , Xiaolin Huang , Jie Yang

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

We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic gradient based optimization algorithms have been recently…

Machine Learning · Computer Science 2016-11-15 Weiran Wang , Jialei Wang , Dan Garber , Nathan Srebro

Canonical correlation analysis is a classic well-known multivariate statistical method focusing on the relationships between two sets of variables. The visualisation of those relationships can be achieved by means of a biplot of the…

Methodology · Statistics 2026-04-02 Jan Graffelman

We consider the problem of sparse canonical correlation analysis (CCA), i.e., the search for two linear combinations, one for each multivariate, that yield maximum correlation using a specified number of variables. We propose an efficient…

Computation · Statistics 2008-01-18 Ami Wiesel , Mark Kliger , Alfred O. Hero

We present Deep Tensor Canonical Correlation Analysis (DTCCA), a method to learn complex nonlinear transformations of multiple views (more than two) of data such that the resulting representations are linearly correlated in high order. The…

Machine Learning · Computer Science 2020-05-26 Hok Shing Wong , Li Wang , Raymond Chan , Tieyong Zeng

We present RandomizedCCA, a randomized algorithm for computing canonical analysis, suitable for large datasets stored either out of core or on a distributed file system. Accurate results can be obtained in as few as two data passes, which…

Machine Learning · Statistics 2014-11-14 Paul Mineiro , Nikos Karampatziakis

In high-dimensional settings, Canonical Correlation Analysis (CCA) often fails, and existing sparse methods force an untenable choice between computational speed and statistical rigor. This work introduces a fast and provably consistent…

Methodology · Statistics 2025-07-16 Zixuan Wu , Elena Tuzhilina , Claire Donnat

Drug discovery is the process of identifying compounds which have potentially meaningful biological activity. A major challenge that arises is that the number of compounds to search over can be quite large, sometimes numbering in the…

Applications · Statistics 2012-02-16 Daniel Samarov , J. S. Marron , Yufeng Liu , Christopher Grulke , Alexander Tropsha

In this paper, we propose a deep probabilistic multi-view model that is composed of a linear multi-view layer based on probabilistic canonical correlation analysis (CCA) description in the latent space together with deep generative networks…

Machine Learning · Computer Science 2020-03-10 Mahdi Karami , Dale Schuurmans

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

We introduce new methods for estimating and evaluating embeddings of words in more than fifty languages in a single shared embedding space. Our estimation methods, multiCluster and multiCCA, use dictionaries and monolingual data; they do…

Computation and Language · Computer Science 2016-05-24 Waleed Ammar , George Mulcaire , Yulia Tsvetkov , Guillaume Lample , Chris Dyer , Noah A. Smith

Noun phrases and Relation phrases in open knowledge graphs are not canonicalized, leading to an explosion of redundant and ambiguous subject-relation-object triples. Existing approaches to solve this problem take a two-step approach. First,…

Computation and Language · Computer Science 2021-09-29 Sarthak Dash , Gaetano Rossiello , Nandana Mihindukulasooriya , Sugato Bagchi , Alfio Gliozzo

Image classification is a primary task in data analysis where explainable models are crucially demanded in various applications. Although amounts of methods have been proposed to obtain explainable knowledge from the black-box classifiers,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Ruitao Xie , Jingbang Chen , Limai Jiang , Rui Xiao , Yi Pan , Yunpeng Cai

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

In this paper linear canonical correlation analysis (LCCA) is generalized by applying a structured transform to the joint probability distribution of the considered pair of random vectors, i.e., a transformation of the joint probability…

Methodology · Statistics 2015-06-03 Koby Todros , Alfred O. Hero

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

Combining the predictions of multiple trained models through ensembling is generally a good way to improve accuracy by leveraging the different learned features of the models, however it comes with high computational and storage costs.…

Machine Learning · Computer Science 2024-07-09 Stefan Horoi , Albert Manuel Orozco Camacho , Eugene Belilovsky , Guy Wolf
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