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Linking between two data sources is a basic building block in numerous computer vision problems. In this paper, we set to answer a fundamental cognitive question: are prior correspondences necessary for linking between different domains?…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Yedid Hoshen , Lior Wolf

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

Methodology · Statistics 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

Cortical pyramidal neurons receive inputs from multiple distinct neural populations and integrate these inputs in separate dendritic compartments. We explore the possibility that cortical microcircuits implement Canonical Correlation…

Neurons and Cognition · Quantitative Biology 2021-03-29 David Lipshutz , Yanis Bahroun , Siavash Golkar , Anirvan M. Sengupta , Dmitri B. Chklovskii

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

We aim to analyze the relation between two random vectors that may potentially have both different number of attributes as well as realizations, and which may even not have a joint distribution. This problem arises in many practical…

Machine Learning · Statistics 2015-11-12 Hoang-Vu Nguyen , Jilles Vreeken

Canonical correlation analysis (CCA) is a popular statistical technique for exploring relationships between datasets. In recent years, the estimation of sparse canonical vectors has emerged as an important but challenging variant of the CCA…

Machine Learning · Statistics 2023-11-06 Qiuyun Zhu , Yves Atchade

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

Machine Learning · Statistics 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

Integrative analyses of different high dimensional data types are becoming increasingly popular. Similarly, incorporating prior functional relationships among variables in data analysis has been a topic of increasing interest as it helps…

Methodology · Statistics 2016-06-09 Sandra E. Safo , Shuzhao Li , Qi Long

Given two data matrices $X$ and $Y$, sparse canonical correlation analysis (SCCA) is to seek two sparse canonical vectors $u$ and $v$ to maximize the correlation between $Xu$ and $Yv$. However, classical and sparse CCA models consider the…

Machine Learning · Computer Science 2017-10-16 Wenwen Min , Juan Liu , Shihua Zhang

Modern biomedical studies often collect multi-view data, that is, multiple types of data measured on the same set of objects. A popular model in high-dimensional multi-view data analysis is to decompose each view's data matrix into a…

Machine Learning · Statistics 2022-09-19 Hai Shu , Zhe Qu , Hongtu Zhu

We study the sample complexity of canonical correlation analysis (CCA), \ie, the number of samples needed to estimate the population canonical correlation and directions up to arbitrarily small error. With mild assumptions on the data…

Machine Learning · Computer Science 2019-10-22 Chao Gao , Dan Garber , Nathan Srebro , Jialei Wang , Weiran Wang

Random features approach has been widely used for kernel approximation in large-scale machine learning. A number of recent studies have explored data-dependent sampling of features, modifying the stochastic oracle from which random features…

Machine Learning · Computer Science 2021-11-03 Yinsong Wang , Shahin Shahrampour

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

Modern vision pipelines increasingly rely on pretrained image encoders whose representations are reused across tasks and models, yet these representations are often overcomplete and model-specific. We propose a simple, training-free method…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Dylan B. Lewis , Jens Gregor , Hector Santos-Villalobos

The sparse canonical correlation analysis (SCCA) is a bi-multivariate association model that finds sparse linear combinations of two sets of variables that are maximally correlated with each other. In addition to the standard SCCA model, a…

Methodology · Statistics 2020-08-11 Kefei Liu , Qi Long , Li Shen

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

The pose problem is one of the bottlenecks in automatic face recognition. We argue that one of the diffculties in this problem is the severe misalignment in face images or feature vectors with different poses. In this paper, we propose that…

Computer Vision and Pattern Recognition · Computer Science 2015-07-30 Annan Li , Shiguang Shan , Xilin Chen , Bingpeng Ma , Shuicheng Yan , Wen Gao

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

We present a novel method for solving Canonical Correlation Analysis (CCA) in a sparse convex framework using a least squares approach. The presented method focuses on the scenario when one is interested in (or limited to) a primal…

Machine Learning · Statistics 2009-08-20 David R. Hardoon , John Shawe-Taylor

Background: The integration and analysis of multi-modal data are increasingly essential across various domains including bioinformatics. As the volume and complexity of such data grow, there is a pressing need for computational models that…

Machine Learning · Statistics 2025-04-17 Tianjian Yang , Wei Vivian Li
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