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We introduce a new general identifiable framework for principled disentanglement referred to as Structured Nonlinear Independent Component Analysis (SNICA). Our contribution is to extend the identifiability theory of deep generative models…

The statistical dependencies which independent component analysis (ICA) cannot remove often provide rich information beyond the linear independent components. It would thus be very useful to estimate the dependency structure from data.…

Machine Learning · Statistics 2017-07-28 Hiroaki Sasaki , Michael U. Gutmann , Hayaru Shouno , Aapo Hyvärinen

Structural and functional MRI studies of patients with post-stroke language deficits have contributed substantially to our understanding of how cognitive-behavioral impairments relate to the location of structural damage and to the…

Neurons and Cognition · Quantitative Biology 2016-10-14 Joseph C. Griffis , Rodolphe Nenert , Jane B. Allendorfer , Jerzy P. Szaflarski

Brain decoding involves the determination of a subject's cognitive state or an associated stimulus from functional neuroimaging data measuring brain activity. In this setting the cognitive state is typically characterized by an element of a…

Machine Learning · Statistics 2015-04-14 Nicole Croteau , Farouk S. Nathoo , Jiguo Cao , Ryan Budney

Early diagnosis of mild cognitive impairment (MCI) and subjective cognitive decline (SCD) utilizing multi-modal magnetic resonance imaging (MRI) is a pivotal area of research. While various regional and connectivity features from functional…

Image and Video Processing · Electrical Eng. & Systems 2024-01-17 Xiongri Shen , Zhenxi Song , Linling Li , Min Zhang , Lingyan Liang Honghai Liu , Demao Deng , Zhiguo Zhang

We propose a frequency domain method based on robust independent component analysis (RICA) to address the multichannel Blind Source Separation (BSS) problem of convolutive speech mixtures in highly reverberant environments. We impose…

Machine Learning · Computer Science 2014-08-04 Zaid Albataineh , Fathi M. Salem

Heterogeneous presentation of a neurological disorder suggests potential differences in the underlying pathophysiological changes that occur in the brain. We propose to model heterogeneous patterns of functional network differences using a…

Machine Learning · Computer Science 2021-04-16 Nicha C. Dvornek , Xiaoxiao Li , Juntang Zhuang , Pamela Ventola , James S. Duncan

Independent component analysis (ICA) is a fundamental data processing technique to decompose the captured signals into as independent as possible components. Computing the contrast function, which serves as a measure of independence of…

Quantum Physics · Physics 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

Independent component analysis (ICA) is a cornerstone of modern data analysis. Its goal is to recover a latent random vector S with independent components from samples of X=AS where A is an unknown mixing matrix. Critically, all existing…

Machine Learning · Statistics 2018-04-04 Nilin Abrahamsen , Philippe Rigollet

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…

There is a gap between the theoretical foundations of disentanglement and the practice of modern representation learning. Existing theoretical frameworks, particularly Independent Component Analysis (ICA) and its nonlinear variants, assume…

Machine Learning · Computer Science 2026-05-22 Edmond Cunningham

Independent Component Analysis (ICA) plays a central role in modern machine learning as a flexible framework for feature extraction. We introduce a horseshoe-type prior with a latent Polya-Gamma scale mixture representation, yielding…

Methodology · Statistics 2025-11-17 Jyotishka Datta , Soham Ghosh , Nicholas G. Polson

Due to the subjective nature of image quality assessment (IQA), assessing which image has better quality among a sequence of images is more reliable than assigning an absolute mean opinion score for an image. Thus, IQA models are evaluated…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Zewen Chen , Juan Wang , Bing Li , Chunfeng Yuan , Weiming Hu , Junxian Liu , Peng Li , Yan Wang , Youqun Zhang , Congxuan Zhang

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger

Nonlinear independent component analysis (nICA) aims at recovering statistically independent latent components that are mixed by unknown nonlinear functions. Central to nICA is the identifiability of the latent components, which had been…

Machine Learning · Computer Science 2022-06-15 Qi Lyu , Xiao Fu

We present a computational framework for analysis and visualization of non-linear functional connectivity in the human brain from resting state functional MRI (fMRI) data for purposes of recovering the underlying network community structure…

Neural and Evolutionary Computing · Computer Science 2014-07-16 Axel Wismüller , Xixi Wang , Adora M. DSouza , Mahesh B. Nagarajan

Dimensionality reduction is an important step in processing the hyperspectral images (HSI) to overcome the curse of dimensionality problem. Linear dimensionality reduction methods such as Independent component analysis (ICA) and Linear…

Machine Learning · Statistics 2021-07-15 Chippy Jayaprakash , Bharath Bhushan Damodaran , Sowmya V , K P Soman

Modern imaging techniques for probing brain function, including functional Magnetic Resonance Imaging, intrinsic and extrinsic contrast optical imaging, and magnetoencephalography, generate large data sets with complex content. In this…

Neurons and Cognition · Quantitative Biology 2009-11-10 P. P. Mitra , B. Pesaran

Multimodal image alignment is the process of finding spatial correspondences between images formed by different imaging techniques or under different conditions, to facilitate heterogeneous data fusion and correlative analysis. The…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Johan Öfverstedt , Joakim Lindblad , Nataša Sladoje

Independent Mechanism Analysis (IMA) seeks to address non-identifiability in nonlinear Independent Component Analysis (ICA) by assuming that the Jacobian of the mixing function has orthogonal columns. As typical in ICA, previous work…

Machine Learning · Statistics 2023-12-22 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf