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Independent component analysis (ICA) has often been used as a tool to model natural image statistics by separating multivariate signals in the image into components that are assumed to be independent. However, these estimated components…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Zhimin Chen , Darius Parvin , Maedbh King , Susan Hao

Independent component analysis (ICA) has been used in many applications, including self-interference cancellation for in-band full-duplex wireless systems and anomaly detection in industrial internet of things. This paper presents a…

Signal Processing · Electrical Eng. & Systems 2022-05-03 Hsi-Hung Lu , Chung-An Shen , Mohammed E. Fouda , Ahmed M. Eltawil

With the emergence of wireless sensor networks (WSNs), many traditional signal processing tasks are required to be computed in a distributed fashion, without transmissions of the raw data to a centralized processing unit, due to the limited…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Cem Ates Musluoglu , Alexander Bertrand

Advances in computational cognitive neuroimaging research are related to the availability of large amounts of labeled brain imaging data, but such data are scarce and expensive to generate. While powerful data generation mechanisms, such as…

Image and Video Processing · Electrical Eng. & Systems 2021-07-15 Badr Tajini , Hugo Richard , Bertrand Thirion

Fast Independent Component Analysis (FastICA) is a component separation algorithm based on the levels of non-Gaussianity. Here we apply the FastICA to the component separation problem of the microwave background including carbon monoxide…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Kiyotomo Ichiki , Ryohei Kaji , Hiroaki Yamamoto , Tsutomu T. Takeuchi , Yasuo Fukui

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

Independent component analysis is commonly applied to functional magnetic resonance imaging (fMRI) data to extract independent components (ICs) representing functional brain networks. While ICA produces reliable group-level estimates,…

Methodology · Statistics 2020-06-05 Amanda F. Mejia , David Bolin , Yu Ryan Yue , Jiongran Wang , Brian S. Caffo , Mary Beth Nebel

Independent component analysis (ICA) is linked up with the problem of estimating a non linear functional of a density, for which optimal estimators are well known. The precision of ICA is analyzed from the viewpoint of functional spaces in…

Statistics Theory · Mathematics 2007-06-13 Pascal Barbedor

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

Independent Component Analysis (ICA) has recently been shown to be a promising new path in data analysis and de-trending of exoplanetary time series signals. Such approaches do not require or assume any prior or auxiliary knowledge on the…

Earth and Planetary Astrophysics · Physics 2015-06-15 I. P. Waldmann

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

Spatial Independent Component Analysis (ICA) is an increasingly used data-driven method to analyze functional Magnetic Resonance Imaging (fMRI) data. To date, it has been used to extract sets of mutually correlated brain regions without…

Applications · Statistics 2011-02-08 G. Varoquaux , S. Sadaghiani , P. Pinel , A. Kleinschmidt , J. B. Poline , B. Thirion

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

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

[Abridged] An increasing number of astronomical instruments (on Earth and space-based) provide hyperspectral images, that is three-dimensional data cubes with two spatial dimensions and one spectral dimension. The intrinsic limitation in…

Instrumentation and Methods for Astrophysics · Physics 2021-03-17 Axel Boulais , Olivier Berné , Guillaume Faury , Yannick Deville

We analyze the dynamics of an online algorithm for independent component analysis in the high-dimensional scaling limit. As the ambient dimension tends to infinity, and with proper time scaling, we show that the time-varying joint empirical…

Machine Learning · Computer Science 2017-11-08 Chuang Wang , Yue M. Lu

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

Decomposing surface electromyography (EMG) into the spike trains of individual motor neurons is a long-standing inverse problem and a key step toward motor-neuron-driven neural interfaces such as prosthetics and exoskeletons. The standard…

Despite a lack of theoretical understanding, deep neural networks have achieved unparalleled performance in a wide range of applications. On the other hand, shallow representation learning with component analysis is associated with rich…

Machine Learning · Computer Science 2018-03-20 Calvin Murdock , Ming-Fang Chang , Simon Lucey
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