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Probabilistic machine learning models are often insufficient to help with decisions on interventions because those models find correlations - not causal relationships. If observational data is only available and experimentation are…

Artificial Intelligence · Computer Science 2021-05-13 Marios Papamichalis , Abhishek Ray , Ilias Bilionis , Karthik Kannan , Rajiv Krishnamurthy

Generalized correlation analysis (GCA) is concerned with uncovering linear relationships across multiple datasets. It generalizes canonical correlation analysis that is designed for two datasets. We study sparse GCA when there are…

Machine Learning · Statistics 2023-02-07 Sheng Gao , Zongming Ma

Explainable AI (XAI) is critical for building trust in complex machine learning models, yet mainstream attribution methods often provide an incomplete, static picture of a model's final state. By collapsing a feature's role into a single…

Machine Learning · Computer Science 2025-11-03 Hamed Najafi , Dongsheng Luo , Jason Liu

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

Real-world applications of machine learning models often confront data distribution shifts, wherein discrepancies exist between the training and test data distributions. In the common multi-domain multi-class setup, as the number of classes…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Haoxiang Wang , Haozhe Si , Huajie Shao , Han Zhao

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

A key goal of unsupervised learning is to go beyond density estimation and sample generation to reveal the structure inherent within observed data. Such structure can be expressed in the pattern of interactions between explanatory latent…

Machine Learning · Computer Science 2022-11-11 Changmin Yu , Hugo Soulat , Neil Burgess , Maneesh Sahani

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

Optimization and Control · Mathematics 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

Functional connectivity analysis is an important tool for characterizing interactions among brain regions, particularly in studies of neurodegenerative disorders such as Alzheimer's disease (AD). Gaussian graphical models (GGMs) provide a…

Methodology · Statistics 2026-04-14 Panpan Zhang , Shiying Xiao , W. Hudson Robb , Dandan Liu , Angela L. Jefferson , Jun Yan

As one of the most important affective signals, facial affect analysis (FAA) is essential for developing human-computer interaction systems. Early methods focus on extracting appearance and geometry features associated with human affects…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Yang Liu , Xingming Zhang , Yante Li , Jinzhao Zhou , Xin Li , Guoying Zhao

Objective: The coupling between neuronal populations and its magnitude have been shown to be informative for various clinical applications. One method to estimate brain connectivity is with electroencephalography (EEG) from which the…

Computational Engineering, Finance, and Science · Computer Science 2017-05-08 Loukianos Spyrou , Mario Parra , Javier Escudero

Heterogeneity is an unwanted variation when analyzing aggregated datasets from multiple sources. Though different methods have been proposed for heterogeneity adjustment, no systematic theory exists to justify these methods. In this work,…

Methodology · Statistics 2016-02-18 Jianqing Fan , Han Liu , Weichen Wang , Ziwei Zhu

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

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

Applications · Statistics 2020-05-08 Vitor G. C. da Silva , Kelly C. M. Gonçalves , João B. M. Pereira

Data-fusion involves the integration of multiple related datasets. The statistical file-matching problem is a canonical data-fusion problem in multivariate analysis, where the objective is to characterise the joint distribution of a set of…

Methodology · Statistics 2021-04-08 Daniel Ahfock , Saumyadipta Pyne , Geoffrey J. McLachlan

To understand the biological characteristics of neurological disorders with functional connectivity (FC), recent studies have widely utilized deep learning-based models to identify the disease and conducted post-hoc analyses via explainable…

Machine Learning · Computer Science 2023-10-09 Eunsong Kang , Da-woon Heo , Jiwon Lee , Heung-Il Suk

Independent Component Analysis (ICA) is a computational technique for revealing latent factors that underlie sets of measurements or signals. It has become a standard technique in functional neuroimaging. In functional neuroimaging, so…

Background: Predicting the efficacy of combination therapies is a critical challenge in clinical decision-making, particularly for diseases requiring multi-drug regimens. Traditional evidence synthesis methods, such as component network…

Quantitative Methods · Quantitative Biology 2025-03-31 Dipayan Sengupta , Saumya Panda

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

Machine Learning · Computer Science 2020-06-18 Benjamin Dutton

In many scenarios, the observational data needed for causal inferences are spread over two data files. In particular, we consider scenarios where one file includes covariates and the treatment measured on one set of individuals, and a…

Methodology · Statistics 2020-09-22 Sharmistha Guha , Jerome P. Reiter , Andrea Mercatanti
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