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At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

Correspondence analysis (CA) is a popular technique to visualize the relationship between two categorical variables. CA uses the data from a two-way contingency table and is affected by the presence of outliers. The supplementary points…

Methodology · Statistics 2026-01-05 Qianqian Qi , David J. Hessen , Aike N. Vonk , Peter G. M. van der Heijden

We study the problem of acoustic feature learning in the setting where we have access to another (non-acoustic) modality for feature learning but not at test time. We use deep variational canonical correlation analysis (VCCA), a recently…

Computer Vision and Pattern Recognition · Computer Science 2017-09-01 Qingming Tang , Weiran Wang , Karen Livescu

In this paper, we introduce Functional Generalized Canonical Correlation Analysis (FGCCA), a new framework for exploring associations between multiple random processes observed jointly. The framework is based on the multiblock Regularized…

Methodology · Statistics 2023-10-12 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

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

Tensor canonical correlation analysis (TCCA) has garnered significant attention due to its effectiveness in capturing high-order correlations in multi-view learning. However, existing TCCA methods often underemphasize the characterization…

Optimization and Control · Mathematics 2025-12-10 Yanjiao Zhu , Wanquan Liu , Xianchao Xiu , Jianqin Sun

This paper proposes a deep learning-based approach for in-situ process monitoring that captures nonlinear relationships between in-control high-dimensional process signature signals and offline product quality data. Specifically, we…

Applications · Statistics 2025-09-25 Xiaoyang Song , Wenbo Sun , Metin Kayitmazbatir , Jionghua , Jin

Independent Component Analysis (ICA) aims to recover independent latent variables from observed mixtures thereof. Causal Representation Learning (CRL) aims instead to infer causally related (thus often statistically dependent) latent…

The diversity of retinal imaging devices poses a significant challenge: domain shift, which leads to performance degradation when applying the deep learning models trained on one domain to new testing domains. In this paper, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2021-10-07 Peng Liu , Charlie T. Tran , Bin Kong , Ruogu Fang

We propose Cooperative Component Analysis (CoCA), a new method for unsupervised multi-view analysis: it identifies the component that simultaneously captures significant within-view variance and exhibits strong cross-view correlation. The…

Methodology · Statistics 2024-07-25 Daisy Yi Ding , Alden Green , Min Woo Sun , Robert Tibshirani

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

Motivation: Biomedical studies increasingly produce multi-view high-dimensional datasets (e.g., multi-omics) that demand integrative analysis. Existing canonical correlation analysis (CCA) and generalized CCA methods address at most two of…

Machine Learning · Statistics 2025-02-27 Rong Wu , Ziqi Chen , Gen Li , Hai Shu

The accumulation of time-series data and the absence of labels make time-series Anomaly Detection (AD) a self-supervised deep learning task. Single-normality-assumption-based methods, which reveal only a certain aspect of the whole…

Machine Learning · Computer Science 2023-04-18 Rui Wang , Chongwei Liu , Xudong Mou , Kai Gao , Xiaohui Guo , Pin Liu , Tianyu Wo , Xudong Liu

Representational similarity analysis (RSA) is a multivariate technique to investigate cortical representations of objects or constructs. While avoiding ill-posed matrix inversions that plague multivariate approaches in the presence of many…

Methodology · Statistics 2021-12-03 Roberto Viviani

Image orientation detection requires high-level scene understanding. Humans use object recognition and contextual scene information to correctly orient images. In literature, the problem of image orientation detection is mostly confronted…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Kunal Swami , Pranav P. Deshpande , Gaurav Khandelwal , Ajay Vijayvargiya

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

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

We introduce three novel semi-parametric extensions of probabilistic canonical correlation analysis with identifiability guarantees. We consider moment matching techniques for estimation in these models. For that, by drawing explicit links…

Machine Learning · Statistics 2016-06-06 Anastasia Podosinnikova , Francis Bach , Simon Lacoste-Julien

In this work, we establish the sufficient conditions under which nonlinear Canonical Correlation Analysis (CCA) recovers ground-truth latent factors up to an affine transformation. By transporting the analysis from the observation space to…

Machine Learning · Computer Science 2026-05-29 Zhiwei Han , Stefan Matthes , Hao Shen

Inferring the relations between two images is an important class of tasks in computer vision. Examples of such tasks include computing optical flow and stereo disparity. We treat the relation inference tasks as a machine learning problem…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Yao Lu , Zhirong Yang , Juho Kannala , Samuel Kaski