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Principal component analysis (PCA) is a popular dimension reduction technique often used to visualize high-dimensional data structures. In genomics, this can involve millions of variables, but only tens to hundreds of observations.…

Statistics Theory · Mathematics 2020-06-11 Kristoffer Hellton , Magne Thoresen

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

Finding overcomplete latent representations of data has applications in data analysis, signal processing, machine learning, theoretical neuroscience and many other fields. In an overcomplete representation, the number of latent features…

Machine Learning · Computer Science 2021-06-10 Jesse A. Livezey , Alejandro F. Bujan , Friedrich T. Sommer

Recently, nonlinear ICA has surfaced as a popular alternative to the many heuristic models used in deep representation learning and disentanglement. An advantage of nonlinear ICA is that a sophisticated identifiability theory has been…

Machine Learning · Statistics 2023-11-29 Hermanni Hälvä , Jonathan So , Richard E. Turner , Aapo Hyvärinen

Independent component analysis (ICA) decomposes multivariate data into mutually independent components (ICs). The ICA model is subject to a constraint that at most one of these components is Gaussian, which is required for model…

Methodology · Statistics 2018-05-18 Ze Jin , Benjamin B. Risk , David S. Matteson

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

This study utilizes Independent Component Analysis (ICA) to unveil a consistent semantic structure within embeddings of words or images. Our approach extracts independent semantic components from the embeddings of a pre-trained model by…

Computation and Language · Computer Science 2023-11-03 Hiroaki Yamagiwa , Momose Oyama , Hidetoshi Shimodaira

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

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

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

Linear principal component analysis (PCA) learns (semi-)orthogonal transformations by orienting the axes to maximize variance. Consequently, it can only identify orthogonal axes whose variances are clearly distinct, but it cannot identify…

Machine Learning · Computer Science 2024-07-02 Fahdi Kanavati , Lucy Katsnith , Masayuki Tsuneki

Despite the strong performance achieved by reinforcement learning-trained information-seeking agents, learning in open-ended web environments remains severely constrained by low signal-to-noise feedback. Text-based parsers often discard…

Machine Learning · Computer Science 2026-02-12 Cong Pang , Xuyu Feng , Yujie Yi , Zixuan Chen , Jiawei Hong , Tiankuo Yao , Nang Yuan , Jiapeng Luo , Lewei Lu , Xin Lou

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

To interpret molecular dynamics simulations of biomolecular systems, systematic dimensionality reduction methods are commonly employed. Among others, this includes principal component analysis (PCA) and time-lagged independent component…

Biomolecules · Quantitative Biology 2022-07-20 Georg Diez , Daniel Nagel , Gerhard Stock

Automatic image aesthetics assessment is important for a wide variety of applications such as on-line photo suggestion, photo album management and image retrieval. Previous methods have focused on mapping the holistic image content to a…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Dong Liu , Rohit Puri , Nagendra Kamath , Subhabrata Bhattachary

We apply both distance-based (Jin and Matteson, 2017) and kernel-based (Pfister et al., 2016) mutual dependence measures to independent component analysis (ICA), and generalize dCovICA (Matteson and Tsay, 2017) to MDMICA, minimizing…

Methodology · Statistics 2018-05-18 Ze Jin , David S. Matteson

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

The Independent Component Analysis (ICA) algorithm is implemented as a neural network for separating signals of different origin in astrophysical sky maps. Due to its self-organizing capability, it works without prior assumptions on the…

The analysis of the wavelength-dependent albedo of exoplanets represents a direct way to provide insight of their atmospheric composition and to constrain theoretical planetary atmosphere modelling. Wavelength-dependent albedo can be…

Instrumentation and Methods for Astrophysics · Physics 2019-10-09 Paolo Di Marcantonio , Carlo Morossi , Mariagrazia Franchini , Holger Lehmann

Finding relationships between multiple views of data is essential both for exploratory analysis and as pre-processing for predictive tasks. A prominent approach is to apply variants of Canonical Correlation Analysis (CCA), a classical…

Machine Learning · Statistics 2016-01-11 Ziyuan Lin , Jaakko Peltonen
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