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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

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

Marine controlled source electromagnetic (CSEM) sensing method used for the detection of hydrocarbons based reservoirs in seabed logging application does not perform well due to the presence of the airwaves (or sea-surface). These airwaves…

Other Computer Science · Computer Science 2013-03-12 Adeel Ansari , Afza Bt Shafie , Abas B Md Said , Seema Ansari

Independent component analysis (ICA) studies mixtures of independent latent sources. An ICA model is identifiable if the mixing can be recovered uniquely. It is well-known that ICA is identifiable if and only if at most one source is…

Statistics Theory · Mathematics 2024-01-29 Kexin Wang , Anna Seigal

We apply the independent component analysis (ICA) to the real data from a gravitational wave detector for the first time. Specifically we use the iKAGRA data taken in April 2016, and calculate the correlations between the gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2020-06-03 KAGRA Collaboration , T. Akutsu , M. Ando , K. Arai , Y. Arai , S. Araki , A. Araya , N. Aritomi , H. Asada , Y. Aso , S. Atsuta , K. Awai , S. Bae , Y. Bae , L. Baiotti , R. Bajpai , M. A. Barton , K. Cannon , E. Capocasa , M. Chan , C. Chen , K. Chen , Y. Chen , H. Chu , Y-K. Chu , K. Craig , W. Creus , K. Doi , K. Eda , S. Eguchi , Y. Enomoto , R. Flaminio , Y. Fujii , M. -K. Fujimoto , M. Fukunaga , M. Fukushima , T. Furuhata , G. Ge , A. Hagiwara , S. Haino , K. Hasegawa , K. Hashino , H. Hayakawa , K. Hayama , Y. Himemoto , Y. Hiranuma , N. Hirata , S. Hirobayashi , E. Hirose , Z. Hong , B. H. Hsieh , G-Z. Huang , P. Huang , Y. Huang , B. Ikenoue , S. Imam , K. Inayoshi , Y. Inoue , K. Ioka , Y. Itoh , K. Izumi , K. Jung , P. Jung , T. Kaji , T. Kajita , M. Kakizaki , M. Kamiizumi , S. Kanbara , N. Kanda , S. Kanemura , M. Kaneyama , G. Kang , J. Kasuya , Y. Kataoka , K. Kawaguchi , N. Kawai , S. Kawamura , T. Kawasaki , C. Kim , J. C. Kim , W. S. Kim , Y. -M. Kim , N. Kimura , T. Kinugawa , S. Kirii , N. Kita , Y. Kitaoka , H. Kitazawa , Y. Kojima , K. Kokeyama , K. Komori , A. K. H. Kong , K. Kotake , C. Kozakai , R. Kozu , R. Kumar , J. Kume , C. Kuo , H-S. Kuo , S. Kuroyanagi , K. Kusayanagi , K. Kwak , H. K. Lee , H. M. Lee , H. W. Lee , R. Lee , M. Leonardi , C. Lin , C-Y. Lin , F-L. Lin , G. C. Liu , Y. Liu , L. Luo , E. Majorana , S. Mano , M. Marchio , T. Matsui , F. Matsushima , Y. Michimura , N. Mio , O. Miyakawa , A. Miyamoto , T. Miyamoto , Y. Miyazaki , K. Miyo , S. Miyoki , W. Morii , S. Morisaki , Y. Moriwaki , T. Morozumi , M. Musha , K. Nagano , S. Nagano , K. Nakamura , T. Nakamura , H. Nakano , M. Nakano , K. Nakao , R. Nakashima , T. Narikawa , L. Naticchioni , R. Negishi , L. Nguyen Quynh , W. -T. Ni , A. Nishizawa , Y. Obuchi , T. Ochi , W. Ogaki , J. J. Oh , S. H. Oh , M. Ohashi , N. Ohishi , M. Ohkawa , K. Okutomi , K. Oohara , C. P. Ooi , S. Oshino , K. Pan , H. Pang , J. Park , F. E. Pena Arellano , I. Pinto , N. Sago , M. Saijo , S. Saito , Y. Saito , K. Sakai , Y. Sakai , Y. Sakai , Y. Sakuno , M. Sasaki , Y. Sasaki , S. Sato , T. Sato , T. Sawada , T. Sekiguchi , Y. Sekiguchi , N. Seto , S. Shibagaki , M. Shibata , R. Shimizu , T. Shimoda , K. Shimode , H. Shinkai , T. Shishido , A. Shoda , K. Somiya , E. J. Son , H. Sotani , A. Suemasa , R. Sugimoto , T. Suzuki , T. Suzuki , H. Tagoshi , H. Takahashi , R. Takahashi , A. Takamori , S. Takano , H. Takeda , M. Takeda , H. Tanaka , K. Tanaka , K. Tanaka , T. Tanaka , T. Tanaka , S. Tanioka , E. N. Tapia San Martin , D. Tatsumi , S. Telada , T. Tomaru , Y. Tomigami , T. Tomura , F. Travasso , L. Trozzo , T. Tsang , K. Tsubono , S. Tsuchida , T. Tsuzuki , D. Tuyenbayev , N. Uchikata , T. Uchiyama , A. Ueda , T. Uehara , S. Ueki , K. Ueno , G. Ueshima , F. Uraguchi , T. Ushiba , M. H. P. M. van Putten , H. Vocca , S. Wada , T. Wakamatsu , J. Wang , C. Wu , H. Wu , S. Wu , W-R. Xu , T. Yamada , A. Yamamoto , K. Yamamoto , K. Yamamoto , S. Yamamoto , T. Yamamoto , K. Yokogawa , J. Yokoyama , T. Yokozawa , T. H. Yoon , T. Yoshioka , H. Yuzurihara , S. Zeidler , Y. Zhao , Z. -H. Zhu

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

Methodology · Statistics 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen

Nonlinear independent component analysis (ICA) aims to recover the underlying independent latent sources from their observable nonlinear mixtures. How to make the nonlinear ICA model identifiable up to certain trivial indeterminacies is a…

Machine Learning · Computer Science 2024-02-27 Yujia Zheng , Ignavier Ng , Kun Zhang

We develop a new neural network based independent component analysis (ICA) method by directly minimizing the dependence amongst all extracted components. Using the matrix-based R{\'e}nyi's $\alpha$-order entropy functional, our network can…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Hongming Li , Shujian Yu , Jose C. Principe

We consider independent component analysis of binary data. While fundamental in practice, this case has been much less developed than ICA for continuous data. We start by assuming a linear mixing model in a continuous-valued latent space,…

Machine Learning · Computer Science 2022-08-03 Antti Hyttinen , Vitória Barin-Pacela , Aapo Hyvärinen

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

Background: Independent Component Analysis (ICA) is a widespread tool for exploration and denoising of electroencephalography (EEG) or magnetoencephalography (MEG) signals. In its most common formulation, ICA assumes that the signal matrix…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

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

Independent Component Analysis (ICA) - one of the basic tools in data analysis - aims to find a coordinate system in which the components of the data are independent. Most popular ICA methods use kurtosis as a metric of non-Gaussianity to…

Machine Learning · Statistics 2018-02-16 P. Spurek , P. Rola , J. Tabor , A. Czechowski

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) 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

Principal Component Analysis (PCA) is widely used for dimensionality reduction and data analysis. However, PCA results are adversely affected by outliers often observed in real-world data. Existing robust PCA methods are often…

Computational Engineering, Finance, and Science · Computer Science 2025-06-23 Timbwaoga Aime Judicael Ouermi , Jixian Li , Chris R. Johnson

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

A central problem in unsupervised deep learning is how to find useful representations of high-dimensional data, sometimes called "disentanglement". Most approaches are heuristic and lack a proper theoretical foundation. In linear…

Machine Learning · Computer Science 2023-09-06 Aapo Hyvarinen , Ilyes Khemakhem , Hiroshi Morioka

Independent component analysis (ICA) is a method to extract a set of time-series data using ``statistical independency" of each component. We applied ICA to extract gravitational wave (GW) signals directly from the detector data. Our idea…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Rika Shimomura , Yuuichi Tabe , Hisaaki Shinkai

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA is one of the most successful ICA algorithms. Although it seems reasonable to improve the performance of F…

Machine Learning · Statistics 2022-02-09 YunPeng Li