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The main idea of canonical correlation analysis (CCA) is to map different views onto a common latent space with maximum correlation. We propose a deep interpretable variational canonical correlation analysis (DICCA) for multi-view learning.…

Machine Learning · Statistics 2022-03-03 Lin Qiu , Lynn Lin , Vernon M. Chinchilli

This paper presents Correlated Nystrom Views (XNV), a fast semi-supervised algorithm for regression and classification. The algorithm draws on two main ideas. First, it generates two views consisting of computationally inexpensive random…

Machine Learning · Statistics 2013-11-06 Brian McWilliams , David Balduzzi , Joachim M. Buhmann

Disentangled representations, where the higher level data generative factors are reflected in disjoint latent dimensions, offer several benefits such as ease of deriving invariant representations, transferability to other tasks,…

Machine Learning · Computer Science 2018-12-31 Abhishek Kumar , Prasanna Sattigeri , Avinash Balakrishnan

Multiple views of data, both naturally acquired (e.g., image and audio) and artificially produced (e.g., via adding different noise to data samples), have proven useful in enhancing representation learning. Natural views are often handled…

Machine Learning · Computer Science 2022-04-12 Qi Lyu , Xiao Fu , Weiran Wang , Songtao Lu

We present deep variational canonical correlation analysis (VCCA), a deep multi-view learning model that extends the latent variable model interpretation of linear CCA to nonlinear observation models parameterized by deep neural networks.…

Machine Learning · Computer Science 2017-02-28 Weiran Wang , Xinchen Yan , Honglak Lee , Karen Livescu

In a typical supervised machine learning setting, the predictions on all test instances are based on a common subset of features discovered during model training. However, using a different subset of features that is most informative for…

Machine Learning · Computer Science 2021-06-10 Yasitha Warahena Liyanage , Daphney-Stavroula Zois , Charalampos Chelmis

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

We consider the problem of identifying the signal shared between two one-dimensional target variables, in the presence of additional multivariate observations. Canonical Correlation Analysis (CCA)-based methods have traditionally been used…

Machine Learning · Computer Science 2023-06-28 Alexander Rakowski , Christoph Lippert

In this paper, we propose a deep probabilistic multi-view model that is composed of a linear multi-view layer based on probabilistic canonical correlation analysis (CCA) description in the latent space together with deep generative networks…

Machine Learning · Computer Science 2020-03-10 Mahdi Karami , Dale Schuurmans

In recent years, deep discriminative models have achieved extraordinary performance on supervised learning tasks, significantly outperforming their generative counterparts. However, their success relies on the presence of a large amount of…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Gaurav Pandey , Ambedkar Dukkipati

We present a unified framework for studying the identifiability of representations learned from simultaneously observed views, such as different data modalities. We allow a partially observed setting in which each view constitutes a…

An inductive probabilistic classification rule must generally obey the principles of Bayesian predictive inference, such that all observed and unobserved stochastic quantities are jointly modeled and the parameter uncertainty is fully…

Machine Learning · Statistics 2015-03-25 Henrik Nyman , Jie Xiong , Johan Pensar , Jukka Corander

We introduce a conceptually simple yet effective model for self-supervised representation learning with graph data. It follows the previous methods that generate two views of an input graph through data augmentation. However, unlike…

Machine Learning · Computer Science 2021-10-29 Hengrui Zhang , Qitian Wu , Junchi Yan , David Wipf , Philip S. Yu

Canonical Correlation Analysis (CCA) is a classic technique for multi-view data analysis. To overcome the deficiency of linear correlation in practical multi-view learning tasks, various CCA variants were proposed to capture nonlinear…

Machine Learning · Computer Science 2019-07-05 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor Tsang

Image classification models tend to make decisions based on peripheral attributes of data items that have strong correlation with a target variable (i.e., dataset bias). These biased models suffer from the poor generalization capability…

Machine Learning · Computer Science 2021-10-26 Jungsoo Lee , Eungyeup Kim , Juyoung Lee , Jihyeon Lee , Jaegul Choo

The problem of finding a reduced dimensionality representation of categorical variables while preserving their most relevant characteristics is fundamental for the analysis of complex data. Specifically, given a co-occurrence matrix of two…

Machine Learning · Computer Science 2012-12-12 Amir Globerson , Gal Chechik , Naftali Tishby

Deep latent-variable models learn representations of high-dimensional data in an unsupervised manner. A number of recent efforts have focused on learning representations that disentangle statistically independent axes of variation by…

Correlations between factors of variation are prevalent in real-world data. Exploiting such correlations may increase predictive performance on noisy data; however, often correlations are not robust (e.g., they may change between domains,…

Machine Learning · Computer Science 2022-12-26 Christina M. Funke , Paul Vicol , Kuan-Chieh Wang , Matthias Kümmerer , Richard Zemel , Matthias Bethge

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

We introduce a conditional generative model for learning to disentangle the hidden factors of variation within a set of labeled observations, and separate them into complementary codes. One code summarizes the specified factors of variation…

Machine Learning · Computer Science 2016-11-11 Michael Mathieu , Junbo Zhao , Pablo Sprechmann , Aditya Ramesh , Yann LeCun
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