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We give an information-theoretic interpretation of Canonical Correlation Analysis (CCA) via (relaxed) Wyner's common information. CCA permits to extract from two high-dimensional data sets low-dimensional descriptions (features) that…

Information Theory · Computer Science 2020-03-02 Michael Gastpar , Erixhen Sula

Deep CCA is a recently proposed deep neural network extension to the traditional canonical correlation analysis (CCA), and has been successful for multi-view representation learning in several domains. However, stochastic optimization of…

Machine Learning · Computer Science 2015-10-08 Weiran Wang , Raman Arora , Karen Livescu , Nathan Srebro

Integration of multi-omics data provides opportunities for revealing biological mechanisms related to certain phenotypes. We propose a novel method of multi-omics integration called supervised deep generalized canonical correlation analysis…

Quantitative Methods · Quantitative Biology 2022-04-21 Jeongyoung Hwang , Sehwan Moon , Hyunju Lee

Multiview analysis aims at extracting shared latent components from data samples that are acquired in different domains, e.g., image, text, and audio. Classic multiview analysis, e.g., canonical correlation analysis (CCA), tackles this…

Machine Learning · Computer Science 2020-06-24 Qi Lyu , Xiao Fu

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 (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

We present a fast algorithm for approximate Canonical Correlation Analysis (CCA). Given a pair of tall-and-thin matrices, the proposed algorithm first employs a randomized dimensionality reduction transform to reduce the size of the input…

Data Structures and Algorithms · Computer Science 2013-05-03 Haim Avron , Christos Boutsidis , Sivan Toledo , Anastasios Zouzias

Canonical correlation analysis (CCA) is a statistical learning method that seeks to build view-independent latent representations from multi-view data. This method has been successfully applied to several pattern analysis tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Hichem Sahbi

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

As convolutional neural networks (CNNs) become more accurate at object recognition, their representations become more similar to the primate visual system. This finding has inspired us and other researchers to ask if the implication also…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Cassidy Pirlot , Richard C. Gerum , Cory Efird , Joel Zylberberg , Alona Fyshe

In this paper, we propose an approach for learning binary hash codes for image retrieval. Canonical Correlation Analysis (CCA) is used to design two loss functions for training a neural network such that the correlation between the two…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Abin Jose , Daniel Filbert , Christian Rohlfing , Jens-Rainer Ohm

Canonical Correlation Analysis (CCA) is a method for analyzing pairs of random vectors; it learns a sequence of paired linear transformations such that the resultant canonical variates are maximally correlated within pairs while…

Methodology · Statistics 2023-08-23 Daniel Kessler , Elizaveta Levina

Deep neural networks need to make robust inference in the presence of occlusion, background clutter, pose and viewpoint variations -- to name a few -- when the task of person re-identification is considered. Attention mechanisms have…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Jieming Zhou , Soumava Kumar Roy , Pengfei Fang , Mehrtash Harandi , Lars Petersson

Classic and deep generalized canonical correlation analysis (GCCA) algorithms seek low-dimensional common representations of data entities from multiple ``views'' (e.g., audio and image) using linear transformations and neural networks,…

Machine Learning · Computer Science 2023-04-05 Sagar Shrestha , Xiao Fu

Since the beginning of the 21st century, the size, breadth, and granularity of data in biology and medicine has grown rapidly. In the example of neuroscience, studies with thousands of subjects are becoming more common, which provide…

The Canonical Correlation Analysis (CCA) family of methods is foundational in multiview learning. Regularised linear CCA methods can be seen to generalise Partial Least Squares (PLS) and be unified with a Generalized Eigenvalue Problem…

Machine Learning · Computer Science 2024-05-02 James Chapman , Lennie Wells , Ana Lawry Aguila

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

Optimization and Control · Mathematics 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

A multiple-perspective co-citation analysis method is introduced for characterizing and interpreting the structure and dynamics of co-citation clusters. The method facilitates analytic and sense making tasks by integrating network…

Computers and Society · Computer Science 2017-10-24 Chaomei Chen , Fidelia Ibekwe-SanJuan , Jianhua Hou

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

Methodology · Statistics 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

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