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Nonlinear independent component analysis (ICA) aims to uncover the true latent sources from their observable nonlinear mixtures. Despite its significance, the identifiability of nonlinear ICA is known to be impossible without additional…

Machine Learning · Computer Science 2023-11-03 Yujia Zheng , Kun Zhang

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

Data integration is the problem of combining multiple data groups (studies, cohorts) and/or multiple data views (variables, features). This task is becoming increasingly important in many disciplines due to the prevalence of large and…

Methodology · Statistics 2019-11-13 Jonatan Kallus , Patrik Johansson , Sven Nelander , Rebecka Jörnsten

We deal with a model where a set of observations is obtained by a linear superposition of unknown components called sources. The problem consists in recovering the sources without knowing the linear transform. We extend the well-known…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Marc Castella

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data that is widely used in observational sciences. In its classic form, ICA relies on modeling the data as linear mixtures of non-Gaussian…

Machine Learning · Statistics 2018-08-01 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

Independent component analysis (ICA), is a blind source separation method that is becoming increasingly used to separate brain and non-brain related activities in electroencephalographic (EEG) and other electrophysiological recordings. It…

Signal Processing · Electrical Eng. & Systems 2022-10-18 Gwenevere Frank , Scott Makeig , Arnaud Delorme

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

Methodology · Statistics 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov

Multi-regional interaction among neuronal populations underlies the brain's processing of rich sensory information in our daily lives. Recent neuroscience and neuroimaging studies have increasingly used naturalistic stimuli and experimental…

Neurons and Cognition · Quantitative Biology 2021-06-08 Yu Takagi , Laurence T. Hunt , Ryu Ohata , Hiroshi Imamizu , Jun-ichiro Hirayama

Recent advances in nonlinear Independent Component Analysis (ICA) provide a principled framework for unsupervised feature learning and disentanglement. The central idea in such works is that the latent components are assumed to be…

Machine Learning · Statistics 2020-06-23 Hermanni Hälvä , Aapo Hyvärinen

Spatial Independent Components Analysis (ICA) is increasingly used in the context of functional Magnetic Resonance Imaging (fMRI) to study cognition and brain pathologies. Salient features present in some of the extracted Independent…

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

Machine Learning · Statistics 2018-11-21 Amichai Painsky

Recent advances in neuroscience data acquisition allow for the simultaneous recording of large populations of neurons across multiple brain areas while subjects perform complex cognitive tasks. Interpreting these data requires us to index…

Neurons and Cognition · Quantitative Biology 2020-10-27 Yu Takagi , Steven W. Kennerley , Jun-ichiro Hirayama , Laurence T. Hunt

This paper considers a novel problem, bi-level graphical modeling, in which multiple individual graphical models can be considered as variants of a common group-level graphical model and inference of both the group- and individual-level…

Methodology · Statistics 2021-08-12 Lin Zhang , Andrew DiLernia , Karina Quevedo , Jazmin Camchong , Kelvin Lim , Wei Pan1

Independent component analysis (ICA) is a blind source separation method to recover source signals of interest from their mixtures. Most existing ICA procedures assume independent sampling. Second-order-statistics-based source separation…

Machine Learning · Statistics 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

Identifying the causal relations between interested variables plays a pivotal role in representation learning as it provides deep insights into the dataset. Identifiability, as the central theme of this approach, normally hinges on…

Machine Learning · Computer Science 2024-08-13 Boyang Sun , Ignavier Ng , Guangyi Chen , Yifan Shen , Qirong Ho , Kun Zhang

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data widely used in observational sciences. In its classical form, ICA relies on modeling the data as a linear mixture of non-Gaussian…

Machine Learning · Statistics 2017-11-30 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

Leveraging complementary relationships across modalities has recently drawn a lot of attention in multimodal emotion recognition. Most of the existing approaches explored cross-attention to capture the complementary relationships across the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 G Rajasekhar , Jahangir Alam

Measuring the relationship between any pair of variables is a rich and active area of research that is central to scientific practice. In contrast, characterizing the common information among any group of variables is typically a…

Machine Learning · Statistics 2017-06-20 Greg Ver Steeg , Shuyang Gao , Kyle Reing , Aram Galstyan

Image complexity assessment (ICA) is a challenging task in perceptual evaluation due to the subjective nature of human perception and the inherent semantic diversity in real-world images. Existing ICA methods predominantly rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Yuqing Luo , Yixiao Li , Jiang Liu , Jun Fu , Hadi Amirpour , Guanghui Yue , Baoquan Zhao , Padraig Corcoran , Hantao Liu , Wei Zhou