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We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic gradient based optimization algorithms have been recently…

Machine Learning · Computer Science 2016-11-15 Weiran Wang , Jialei Wang , Dan Garber , Nathan Srebro

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

While transformer-based models have achieved state-of-the-art results in a variety of classification and generation tasks, their black-box nature makes them challenging for interpretability. In this work, we present a novel visual…

Computation and Language · Computer Science 2023-11-22 Raymond Li , Ruixin Yang , Wen Xiao , Ahmed AbuRaed , Gabriel Murray , Giuseppe Carenini

This work introduces a novel approach to achieving architecture-agnostic equivariance in deep learning, particularly addressing the limitations of traditional layerwise equivariant architectures and the inefficiencies of the existing…

Machine Learning · Computer Science 2024-11-18 Siba Smarak Panigrahi , Arnab Kumar Mondal

Graph convolutional neural network (GCN) has effectively boosted the multi-label image recognition task by introducing label dependencies based on statistical label co-occurrence of data. However, in previous methods, label correlation is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Yun Wang , Tong Zhang , Zhen Cui , Chunyan Xu , Jian Yang

Canonical Correlation Analysis (CCA) is a widely used statistical tool with both well established theory and favorable performance for a wide range of machine learning problems. However, computing CCA for huge datasets can be very slow…

Machine Learning · Statistics 2014-12-31 Yichao Lu , Dean P. Foster

Graphical models have been popularly used for capturing conditional independence structure in multivariate data, which are often built upon independent and identically distributed observations, limiting their applicability to complex…

Methodology · Statistics 2025-07-03 Yuwen Wang , Changyu Liu , Xin He , Junhui Wang

Classical canonical correlation analysis (CCA) requires matrices to be low dimensional, i.e. the number of features cannot exceed the sample size. Recent developments in CCA have mainly focused on the high-dimensional setting, where the…

Methodology · Statistics 2021-06-09 Wenjia Wang , Yi-Hui Zhou

The comparison of heterogeneous samples extensively exists in many applications, especially in the task of image classification. In this paper, we propose a simple but effective coupled neural network, called Deeply Coupled Autoencoder…

Computer Vision and Pattern Recognition · Computer Science 2014-02-11 Wen Wang , Zhen Cui , Hong Chang , Shiguang Shan , Xilin Chen

Canonical correlation analysis is a statistical technique that is used to find relations between two sets of variables. An important extension in pattern analysis is to consider more than two sets of variables. This problem can be expressed…

Machine Learning · Computer Science 2013-02-06 Jan Rupnik , Primoz Skraba , John Shawe-Taylor , Sabrina Guettes

We extend the decomposition approach for learning Bayesian networks (BNs) proposed by (Xie et. al.) to learning multivariate regression chain graphs (MVR CGs), which include BNs as a special case. The same advantages of this decomposition…

Artificial Intelligence · Computer Science 2020-02-26 Mohammad Ali Javidian , Marco Valtorta

Graph contrastive learning (GCL) learns node and graph representations by contrasting multiple views of the same graph. Existing methods typically rely on fixed, handcrafted views-usually a local and a global perspective, which limits their…

Machine Learning · Computer Science 2026-05-12 Yanan Zhao , Feng Ji , Jingyang Dai , Jiaze Ma , Keyue Jiang , Kai Zhao , Wee Peng Tay

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

Due to the wide range of timescales that are present in macromolecular systems, hierarchical multiscale strategies are necessary for their computational study. Coarse-graining (CG) allows to establish a link between different system…

Understanding relationships across multiple imaging modalities is central to neuroimaging research. We introduce the Integrative Variational Autoencoder (InVA), the first hierarchical VAE framework for image-on-image regression in…

Image and Video Processing · Electrical Eng. & Systems 2025-09-15 Bowen Lei , Yeseul Jeon , Rajarshi Guhaniyogi , Aaron Scheffler , Bani Mallick , Alzheimer's Disease Neuroimaging Initiatives

Graph few-shot learning, which aims to classify nodes from novel classes with only a few labeled examples, is a widely studied problem in graph learning. However, existing methods often face two key limitations. First, the predominant graph…

Artificial Intelligence · Computer Science 2026-05-26 Renchu Guan , Yajun Wang , Chunli Guo , Bowen Cao , Fausto Giunchiglia , Wei Pang , Yonghao Liu , Xiaoyue Feng

Multi-view learning leverages correlations between different sources of data to make predictions in one view based on observations in another view. A popular approach is to assume that, both, the correlations between the views and the…

Machine Learning · Computer Science 2014-04-29 Behrouz Behmardi , Cedric Archambeau , Guillaume Bouchard

Unsupervised hashing methods have attracted widespread attention with the explosive growth of large-scale data, which can greatly reduce storage and computation by learning compact binary codes. Existing unsupervised hashing methods attempt…

Computer Vision and Pattern Recognition · Computer Science 2023-01-09 Huibing Wang , Mingze Yao , Guangqi Jiang , Zetian Mi , Xianping Fu

We develop a novel probabilistic generative model based on the variational autoencoder approach. Notable aspects of our architecture are: a novel way of specifying the latent variables prior, and the introduction of an ordinality enforcing…

Machine Learning · Statistics 2018-12-20 Joel Jaskari , Jyri J. Kivinen

This paper addresses unsupervised representation learning on tabular data containing multiple views generated by distinct sources of measurement. Traditional methods, which tackle this problem using the multi-view framework, are constrained…

Machine Learning · Computer Science 2023-06-01 Tennison Liu , Jeroen Berrevoets , Zhaozhi Qian , Mihaela van der Schaar
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