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Unsupervised two-view learning, or detection of dependencies between two paired data sets, is typically done by some variant of canonical correlation analysis (CCA). CCA searches for a linear projection for each view, such that the…

Machine Learning · Statistics 2016-11-18 Leo Lahti , Samuel Myllykangas , Sakari Knuutila , Samuel Kaski

In many settings, we have multiple data sets (also called views) that capture different and overlapping aspects of the same phenomenon. We are often interested in finding patterns that are unique to one or to a subset of the views. For…

Machine Learning · Computer Science 2015-07-15 Rong Ge , James Zou

A core task in multi-modal learning is to integrate information from multiple feature spaces (e.g., text and audio), offering modality-invariant essential representations of data. Recent research showed that, classical tools such as {\it…

Machine Learning · Computer Science 2024-10-02 Subash Timilsina , Sagar Shrestha , Xiao Fu

Deep learning techniques have been successfully used in learning a common representation for multi-view data, wherein the different modalities are projected onto a common subspace. In a broader perspective, the techniques used to…

Computer Vision and Pattern Recognition · Computer Science 2017-11-02 Gaurav Bhatt , Piyush Jha , Balasubramanian Raman

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 build on the interpretation of the Economic Complexity method as Correspondence Analysis (CA), and propose that the Canonical form of CA (CCA), which originated in the ecology literature, can be used to calculate multi-dimensional…

General Economics · Economics 2024-09-04 Önder Nomaler , Bart Verspagen

Multi-view data, that is matched sets of measurements on the same subjects, have become increasingly common with advances in multi-omics technology. Often, it is of interest to find associations between the views that are related to the…

Machine Learning · Statistics 2020-10-02 Yunfeng Zhang , Irina Gaynanova

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

Describing the dimension reduction (DR) techniques by means of probabilistic models has recently been given special attention. Probabilistic models, in addition to a better interpretability of the DR methods, provide a framework for further…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Mehran Safayani , Saeid Momenzadeh

Canonical correlation analysis (CCA) has been one of the most popular methods for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs). Despite its efficiency, a potential problem is…

Machine Learning · Statistics 2014-01-17 Yu Zhang , Guoxu Zhou , Jing Jin , Xingyu Wang , Andrzej Cichocki

This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard approach of (co-) clustering as we use the…

Machine Learning · Statistics 2010-09-21 David R. Hardoon , Kristiaan Pelcksman

Contrastive learning is a powerful framework for learning self-supervised representations that generalize well to downstream supervised tasks. We show that multiple existing contrastive learning methods can be reinterpreted as learning…

Machine Learning · Computer Science 2023-02-16 Daniel D. Johnson , Ayoub El Hanchi , Chris J. Maddison

Recent advances in deep reinforcement learning require a large amount of training data and generally result in representations that are often over specialized to the target task. In this work, we present a methodology to study the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Erik Wijmans , Julian Straub , Dhruv Batra , Irfan Essa , Judy Hoffman , Ari Morcos

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

It can be challenging to perform an integrative statistical analysis of multi-view high-dimensional data acquired from different experiments on each subject who participated in a joint study. Canonical Correlation Analysis (CCA) is a…

Methodology · Statistics 2023-10-31 Siddhesh Kulkarni , Subhadip Pal , Jeremy T. Gaskins

We present a facial landmark position correlation analysis as well as its applications. Although numerous facial landmark detection methods have been presented in the literature, few of them explicitly take into account the inherent…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Yongzhe Yan , Stefan Duffner , Priyanka Phutane , Anthony Berthelier , Christophe Blanc , Christophe Garcia , Thierry Chateau

Multimodal learning has mainly focused on learning large models on, and fusing feature representations from, different modalities for better performances on downstream tasks. In this work, we take a detour from this trend and study the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-08 Yifeng Shi , Marc Niethammer

Correlated component analysis as proposed by Dmochowski et al. (2012) is a tool for investigating brain process similarity in the responses to multiple views of a given stimulus. Correlated components are identified under the assumption…

Machine Learning · Statistics 2018-02-08 Simon Kamronn , Andreas Trier Poulsen , Lars Kai Hansen

We characterise some of the quirks and shortcomings in the exploration of Visual Dialogue - a sequential question-answering task where the questions and corresponding answers are related through given visual stimuli. To do so, we develop an…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Daniela Massiceti , Puneet K. Dokania , N. Siddharth , Philip H. S. Torr

Clustering multi-view data has been a fundamental research topic in the computer vision community. It has been shown that a better accuracy can be achieved by integrating information of all the views than just using one view individually.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Ming Yin , Weitian Huang , Junbin Gao