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In this paper we address the problem of matching sets of vectors embedded in the same input space. We propose an approach which is motivated by canonical correlation analysis (CCA), a statistical technique which has proven successful in a…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

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

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

The principal component analysis (PCA) is widely used for data decorrelation and dimensionality reduction. However, the use of PCA may be impractical in real-time applications, or in situations were energy and computing constraints are…

Image and Video Processing · Electrical Eng. & Systems 2024-01-31 R. S. Oliveira , R. J. Cintra , F. M. Bayer , T. L. T. da Silveira , A. Madanayake , A. Leite

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

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

Generalized canonical correlation analysis (GCCA) aims at finding latent low-dimensional common structure from multiple views (feature vectors in different domains) of the same entities. Unlike principal component analysis (PCA) that…

Machine Learning · Statistics 2017-08-02 Xiao Fu , Kejun Huang , Mingyi Hong , Nicholas D. Sidiropoulos , Anthony Man-Cho So

Canonical correlation analysis (CCA) is a popular technique for learning representations that are maximally correlated across multiple views in data. In this paper, we extend the CCA based framework for learning a multiview mixture model.…

Machine Learning · Computer Science 2020-01-01 Nils Holzenberger , Raman Arora

Recently, two-dimensional canonical correlation analysis (2DCCA) has been successfully applied for image feature extraction. The method instead of concatenating the columns of the images to the one-dimensional vectors, directly works with…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Mehran Safayani , Seyed Hashem Ahmadi , Homayun Afrabandpey , Abdolreza Mirzaei

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

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

This paper presents Deep Dynamic Probabilistic Canonical Correlation Analysis (D2PCCA), a model that integrates deep learning with probabilistic modeling to analyze nonlinear dynamical systems. Building on the probabilistic extensions of…

Machine Learning · Computer Science 2025-02-10 Shiqin Tang , Shujian Yu , Yining Dong , S. Joe Qin

Two new algorithms are described for matching two dimensional coordinate lists of point sources that are signifcantly faster than previous methods. By matching rarely occurring triangles (or more complex shapes) in the two lists, and by…

Astrophysics · Physics 2009-11-13 V. Tabur

Background: Canonical correlation analysis (CCA) is a classic statistical tool for investigating complex multivariate data. Correspondingly, it has found many diverse applications, ranging from molecular biology and medicine to social…

Methodology · Statistics 2019-01-14 Takoua Jendoubi , Korbinian Strimmer

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

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

Methodology · Statistics 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

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

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

Machine Learning · Statistics 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

We describe a technique for structured prediction, based on canonical correlation analysis. Our learning algorithm finds two projections for the input and the output spaces that aim at projecting a given input and its correct output into…

Computation and Language · Computer Science 2017-11-21 Nikos Papasarantopoulos , Helen Jiang , Shay B. Cohen

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
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