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Latent variable discovery is a central problem in data analysis with a broad range of applications in applied science. In this work, we consider data given as an invertible mixture of two statistically independent components and assume that…

机器学习 · 统计学 2023-03-08 Uri Shaham , Jonathan Svirsky , Ori Katz , Ronen Talmon

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…

机器学习 · 统计学 2024-10-18 Yusuke Endo , Koujin Takeda

Principal Component Analysis (PCA) is one of the most used tools for extracting low-dimensional representations of data, in particular for time series. Performances are known to strongly depend on the quality (amount of noise) and the…

应用统计 · 统计学 2024-12-16 Mariia Legenkaia , Laurent Bourdieu , Rémi Monasson

Independent Component Analysis (ICA) recently has attracted attention in the statistical literature as an alternative to elliptical models. Whereas k-dimensional elliptical densities depend on one single unspecified radial density, however,…

统计方法学 · 统计学 2013-12-17 Marc Hallin , Chintan Mehta

Major construction and initial-phase operation of a second-generation gravitational-wave detector KAGRA has been completed. The entire 3-km detector is installed underground in a mine in order to be isolated from background seismic…

广义相对论与量子宇宙学 · 物理学 2020-07-06 T. Akutsu , M. Ando , S. Araki , A. Araya , T. Arima , N. Aritomi , H. Asada , Y. Aso , S. Atsuta , K. Awai , L. Baiotti , M. A. Barton , D. Chen , K. Cho , K. Craig , R. DeSalvo , K. Doi , K. Eda , Y. Enomoto , R. Flaminio , S. Fujibayashi , Y. Fujii , M. -K. Fujimoto , M. Fukushima , T. Furuhata , A. Hagiwara , S. Haino , S. Harita , K. Hasegawa , M. Hasegawa , K. Hashino , K. Hayama , N. Hirata , E. Hirose , B. Ikenoue , Y. Inoue , K. Ioka , H. Ishizaki , Y. Itoh , D. Jia , T. Kagawa , T. Kaji , T. Kajita , M. Kakizaki , H. Kakuhata , M. Kamiizumi , S. Kanbara , N. Kanda , S. Kanemura , M. Kaneyama , J. Kasuya , Y. Kataoka , K. Kawaguchi , N. Kawai , S. Kawamura , F. Kawazoe , C. Kim , J. Kim , J. C. Kim , W. Kim , N. Kimura , Y. Kitaoka , K. Kobayashi , Y. Kojima , K. Kokeyama , K. Komori , K. Kotake , K. Kubo , R. Kumar , T. Kume , K. Kuroda , Y. Kuwahara , H. -K. Lee , H. -W. Lee , C. -Y. Lin , Y. Liu , E. Majorana , S. Mano , M. Marchio , T. Matsui , N. Matsumoto , F. Matsushima , Y. Michimura , N. Mio , O. Miyakawa , K. Miyake , A. Miyamoto , T. Miyamoto , K. Miyo , S. Miyoki , W. Morii , S. Morisaki , Y. Moriwaki , Y. Muraki , M. Murakoshi , M. Musha , K. Nagano , S. Nagano , K. Nakamura , T. Nakamura , H. Nakano , M. Nakano , M. Nakano , H. Nakao , K. Nakao , T. Narikawa , W. -T. Ni , T. Nonomura , Y. Obuchi , J. J. Oh , S. -H. Oh , M. Ohashi , N. Ohishi , M. Ohkawa , N. Ohmae , K. Okino , K. Okutomi , K. Ono , Y. Ono , K. Oohara , S. Ota , J. Park , F. E. Peña Arellano , I. M. Pinto , M. Principe , N. Sago , M. Saijo , T. Saito , Y. Saito , S. Saitou , K. Sakai , Y. Sakakibara , Y. Sasaki , S. Sato , T. Sato , Y. Sato , T. Sekiguchi , Y. Sekiguchi , M. Shibata , K. Shiga , Y. Shikano , T. Shimoda , H. Shinkai , A. Shoda , N. Someya , K. Somiya , E. J. Son , T. Starecki , A. Suemasa , Y. Sugimoto , Y. Susa , H. Suwabe , T. Suzuki , Y. Tachibana , H. Tagoshi , S. Takada , H. Takahashi , R. Takahashi , A. Takamori , H. Takeda , H. Tanaka , K. Tanaka , T. Tanaka , D. Tatsumi , S. Telada , T. Tomaru , K. Tsubono , S. Tsuchida , L. Tsukada , T. Tsuzuki , N. Uchikata , T. Uchiyama , T. Uehara , S. Ueki , K. Ueno , F. Uraguchi , T. Ushiba , M. H. P. M. van Putten , S. Wada , T. Wakamatsu , T. Yaginuma , K. Yamamoto , S. Yamamoto , T. Yamamoto , K. Yano , J. Yokoyama , T. Yokozawa , T. H. Yoon , H. Yuzurihara , S. Zeidler , Y. Zhao , L. Zheng , K. Agatsuma , Y. Akiyama , N. Arai , M. Asano , A. Bertolini , M. Fujisawa , R. Goetz , J. Guscott , Y. Hashimoto , Y. Hayashida , E. Hennes , K. Hirai , T. Hirayama , H. Ishitsuka , J. Kato , A. Khalaidovski , S. Koike , A. Kumeta , T. Miener , M. Morioka , C. L. Mueller , T. Narita , Y. Oda , T. Ogawa , T. Sekiguchi , H. Tamura , D. B. Tanner , C. Tokoku , M. Toritani , T. Utsuki , M. Uyeshima , J. van den Brand , J. van Heijningen , S. Yamaguchi , A. Yanagida

This paper extends recent work on nonlinear Independent Component Analysis (ICA) by introducing a theoretical framework for nonlinear Independent Subspace Analysis (ISA) in the presence of auxiliary variables. Observed high dimensional…

音频与语音处理 · 电气工程与系统科学 2020-07-28 Amrith Setlur , Barnabas Poczos , Alan W Black

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

统计理论 · 数学 2012-06-05 Richard J. Samworth , Ming Yuan

The random superposition of many weak sources will produce a stochastic background of gravitational waves that may dominate the response of the LISA (Laser Interferometer Space Antenna) gravitational wave observatory. Unless something can…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Neil J. Cornish

The data taken by the advanced LIGO and Virgo gravitational-wave detectors contains short duration noise transients that limit the significance of astrophysical detections and reduce the duty cycle of the instruments. As the advanced…

天体物理仪器与方法 · 物理学 2017-01-25 Jade Powell , Alejandro Torres-Forné , Ryan Lynch , Daniele Trifirò , Elena Cuoco , Marco Cavaglià , Ik Siong Heng , José A. Font

Principal component analysis (PCA) is one of the most widely used dimension reduction and multivariate statistical techniques. From a probabilistic perspective, PCA seeks a low-dimensional representation of data in the presence of…

机器学习 · 计算机科学 2021-01-06 Chihao Zhang , Kuo Gai , Shihua Zhang

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,…

统计方法学 · 统计学 2020-06-05 Amanda F. Mejia , David Bolin , Yu Ryan Yue , Jiongran Wang , Brian S. Caffo , Mary Beth Nebel

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction that is useful for various data science problems. However, many applications involve heterogeneous data that varies in quality due to noise…

机器学习 · 统计学 2023-11-14 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

Principal Components Analysis (PCA) and Independent Component Analysis (ICA) are used to identify global patterns in solar and space data. PCA seeks orthogonal modes of the two-point correlation matrix constructed from a data set. It…

天体物理学 · 物理学 2009-11-13 A. C. Cadavid , J. K. Lawrence , A. Ruzmaikin

In many dynamical probes of a quantum system, quite often multiple eigenmodes are excited. Therefore, the experimental data can be quite messy due to the mixing of different modes, as well as the background noise, despite that each mode…

量子物理 · 物理学 2019-04-11 Yadong Wu , Hui Zhai

Infrasonic and seismic waves are supposed to be the main contributors to the gravity-gradient noise (Newtonian noise) of the third generation subterranean gravitational-wave detectors. This noise will limit the sensitivity of the instrument…

天体物理仪器与方法 · 物理学 2019-07-02 Edit Fenyvesi , József Molnár , Sándor Czellár

The NUclei of GAlaxies (NUGA) project is a combined effort to carry out a high-resolution (<1'') interferometer CO survey of a sample of 12 nearby AGN spiral hosts, using the IRAM array. We map the distribution and dynamics of molecular gas…

In this article, nonstationary mixing and source models are combined for developing new fast and accurate algorithms for Independent Component or Vector Extraction (ICE/IVE), one of which stands for a new extension of the well-known…

信号处理 · 电气工程与系统科学 2022-11-23 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

We show that an insulated electrostatic gate can be used to strongly suppress ubiquitous background charge noise in Schottky-gated GaAs/AlGaAs devices. Via a 2-D self-consistent simulation of the conduction band profile we show that this…

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…

机器学习 · 计算机科学 2014-08-04 Zaid Albataineh , Fathi M. Salem

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.…

机器学习 · 统计学 2017-07-28 Hiroaki Sasaki , Michael U. Gutmann , Hayaru Shouno , Aapo Hyvärinen