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This paper is concerned with the analysis of correlation between two high-dimensional data sets when there are only few correlated signal components but the number of samples is very small, possibly much smaller than the dimensions of the…

Information Theory · Computer Science 2016-04-08 Yang Song , Peter J. Schreier , David Ramirez , Tanuj Hasija

Canonical Correlation Analysis (CCA) is widely used for multimodal data analysis and, more recently, for discriminative tasks such as multi-view learning; however, it makes no use of class labels. Recent CCA methods have started to address…

Machine Learning · Computer Science 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

Canonical correlation analysis (CCA) is a powerful technique for discovering whether or not hidden sources are commonly present in two (or more) datasets. Its well-appreciated merits include dimensionality reduction, clustering,…

Machine Learning · Computer Science 2018-08-15 Jia Chen , Gang Wang , Yanning Shen , Georgios B. Giannakis

Canonical correlation analysis is a classical technique for exploring the relationship between two sets of variables. It has important applications in analyzing high dimensional datasets originated from genomics, imaging and other fields.…

Methodology · Statistics 2016-04-05 Chao Gao , Zongming Ma , Harrison H. Zhou

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

Canonical correlation analysis (CCA) is a technique for finding correlated sets of features between two datasets. In this paper, we propose a novel extension of CCA to the online, streaming data setting: Sliding Window Informative Canonical…

Machine Learning · Statistics 2026-05-12 Arvind Prasadan

In the era of big data, reducing data dimensionality is critical in many areas of science. Widely used Principal Component Analysis (PCA) addresses this problem by computing a low dimensional data embedding that maximally explain variance…

Machine Learning · Statistics 2017-02-24 Soheil Feizi , David Tse

Finding relationships between multiple views of data is essential both for exploratory analysis and as pre-processing for predictive tasks. A prominent approach is to apply variants of Canonical Correlation Analysis (CCA), a classical…

Machine Learning · Statistics 2016-01-11 Ziyuan Lin , Jaakko Peltonen

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

This paper presents a robust matrix elastic net based canonical correlation analysis (RMEN-CCA) for multiple view unsupervised learning problems, which emphasizes the combination of CCA and the robust matrix elastic net (RMEN) used as…

Machine Learning · Computer Science 2017-11-16 Peng-Bo Zhang , Zhi-Xin Yang

This paper investigates fairness and bias in Canonical Correlation Analysis (CCA), a widely used statistical technique for examining the relationship between two sets of variables. We present a framework that alleviates unfairness by…

Machine Learning · Computer Science 2023-09-28 Zhuoping Zhou , Davoud Ataee Tarzanagh , Bojian Hou , Boning Tong , Jia Xu , Yanbo Feng , Qi Long , Li Shen

Incorporating prior knowledge into a data-driven modeling problem can drastically improve performance, reliability, and generalization outside of the training sample. The stronger the structural properties, the more effective these…

Robotics · Computer Science 2023-11-20 Wooyoung Chung , Daniel Polani , Stas Tiomkin

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies by finding maximally correlated embeddings of pairs of random variables. CA has found applications in fields ranging from…

Machine Learning · Computer Science 2020-07-01 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon

Sparse Canonical Correlation Analysis (SCCA) is a fundamental statistical tool for identifying linear relationships in high-dimensional, multi-view data. While minimax theory establishes an optimal sample complexity scaling additively with…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Mengchu Xu , Jian Wang , Yonina C. Eldar

Canonical Correlation Analysis (CCA) is a widely used statistical tool with both well established theory and favorable performance for a wide range of machine learning problems. However, computing CCA for huge datasets can be very slow…

Machine Learning · Statistics 2014-12-31 Yichao Lu , Dean P. Foster

Mobile network performance modeling typically assumes either a fixed cell's configuration or only considers a limited number of parameters. This prohibits the exploration of multidimensional, diverse configuration space for, e.g.,…

Networking and Internet Architecture · Computer Science 2024-07-10 Michał Panek , Ireneusz Jabłoński , Michał Woźniak

Many analyses of multivariate data focus on evaluating the dependence between two sets of variables, rather than the dependence among individual variables within each set. Canonical correlation analysis (CCA) is a classical data analysis…

Methodology · Statistics 2024-04-23 Jordan G. Bryan , Jonathan Niles-Weed , Peter D. Hoff

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

A new approach to the sparse Canonical Correlation Analysis (sCCA)is proposed with the aim of discovering interpretable associations in very high-dimensional multi-view, i.e.observations of multiple sets of variables on the same subjects,…

Machine Learning · Statistics 2019-09-18 Omid S. Solari , James B. Brown , Peter J. Bickel

This paper considers the problem of canonical-correlation analysis (CCA) (Hotelling, 1936) and, more broadly, the generalized eigenvector problem for a pair of symmetric matrices. These are two fundamental problems in data analysis and…

Machine Learning · Computer Science 2016-05-30 Rong Ge , Chi Jin , Sham M. Kakade , Praneeth Netrapalli , Aaron Sidford