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Two types of spatiotemporal chaos exhibited by ensembles of coupled nonlinear oscillators are analyzed using independent component analysis (ICA). For diffusively coupled complex Ginzburg-Landau oscillators that exhibit smooth amplitude…

Chaotic Dynamics · Physics 2007-06-13 H. Asano , H. Nakao

Independent Component Analysis (ICA) offers interpretable semantic components of embeddings. While ICA theory assumes that embeddings can be linearly decomposed into independent components, real-world data often do not satisfy this…

Computation and Language · Computer Science 2024-10-10 Momose Oyama , Hiroaki Yamagiwa , Hidetoshi Shimodaira

In this paper we derive a new framework for independent component analysis (ICA), called measure-transformed ICA (MTICA), that is based on applying a structured transform to the probability distribution of the observation vector, i.e.,…

Methodology · Statistics 2013-12-10 Koby Todros , Alfred O. Hero

Independent component analysis (ICA), as an approach to the blind source-separation (BSS) problem, has become the de-facto standard in many medical imaging settings. Despite successes and a large ongoing research effort, the limitation of…

Machine Learning · Computer Science 2016-03-23 R. Devon Hjelm , Sergey M. Plis , Vince C. Calhoun

Noise subtraction is a crucial process in gravitational wave (GW) data analysis to improve the sensitivity of interferometric detectors. While linear noise coupling has been extensively studied and successfully mitigated using methods such…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 Jun'ya Kume , Koh Ueno , Tatsuki Washimi , Jun'ichi Yokoyama , Takaaki Yokozawa , Yousuke Itoh

Compressive learning forms the exciting intersection between compressed sensing and statistical learning where one exploits forms of sparsity and structure to reduce the memory and/or computational complexity of the learning task. In this…

Machine Learning · Statistics 2021-10-18 Michael P. Sheehan , Mike E. Davies

We propose a new method of independent component analysis (ICA) in order to extract appropriate features from high-dimensional data. In general, matrix factorization methods including ICA have a problem regarding the interpretability of…

Machine Learning · Statistics 2024-10-18 Yusuke Endo , Koujin Takeda

We generalize the low-rank decomposition problem, such as principal and independent component analysis (PCA, ICA) for continuous-time vector-valued signals and provide a model-agnostic implicit neural signal representation framework to…

Machine Learning · Computer Science 2025-07-15 Shayan K. Azmoodeh , Krishna Subramani , Paris Smaragdis

Independent component analysis (ICA) is a fundamental problem in the field of signal processing, and numerous algorithms have been developed to address this issue. The core principle of these algorithms is to find a transformation matrix…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Liangliang Zhu , Zhebin Song , Xuesen Zhang , Meibin Qi

In recent years, Independent Component Analysis (ICA) has successfully been applied to remove noise and artifacts in images obtained from Three-dimensional Polarized Light Imaging (3D-PLI) at the mesoscale (i.e., 64 $\mu$m). Here, we…

Medical Physics · Physics 2020-12-01 Kai Benning , Miriam Menzel , Jan Reuter , Markus Axer

Nonlinear independent component analysis (ICA) provides an appealing framework for unsupervised feature learning, but the models proposed so far are not identifiable. Here, we first propose a new intuitive principle of unsupervised deep…

Machine Learning · Statistics 2016-05-23 Aapo Hyvarinen , Hiroshi Morioka

Independent component analysis (ICA) has been a popular dimension reduction tool in statistical machine learning and signal processing. In this paper, we present a convergence analysis for an online tensorial ICA algorithm, by viewing the…

Machine Learning · Computer Science 2021-07-30 Chris Junchi Li , Michael I. Jordan

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

This paper proposes a novel method of independent component analysis (ICA), which we name higher-order tensor ICA (HOT-ICA). HOT-ICA is a tensor ICA that makes effective use of the signal categories represented by the axes of a separating…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Seishiro Goto , Ryo Natsuaki , Akira Hirose

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…

Subjective classification of galaxies can mislead us in the quest of the origin regarding formation and evolution of galaxies since this is necessarily limited to a few features. The human mind is not able to apprehend the complex…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 Tanuka Chattopadhyay , Didier Fraix-Burnet , Saptarshi Mondal

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

We study the problem of learning disentangled signals from data using non-linear Independent Component Analysis (ICA). Motivated by advances in self-supervised learning, we propose to learn self-sufficient signals: A recovered signal should…

Machine Learning · Statistics 2025-12-02 Song Liu

Independent component analysis (ICA) is an unsupervised learning method popular in functional magnetic resonance imaging (fMRI). Group ICA has been used to search for biomarkers in neurological disorders including autism spectrum disorder…

Methodology · Statistics 2021-01-14 Yuxuan Zhao , David S. Matteson , Mary Beth Nebel , Stewart H. Mostofsky , Benjamin Risk

A blind source separation method is described to extract sources from data mixtures where the underlying sources are assumed to be sparse and uncorrelated. The approach used is to detect and analyse segments of time where one source exists…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Malcolm Woolfson
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