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In this paper, we conduct a detailed investigation on the effect of independent component (IC)-based noise rejection methods in neural network classifier-based decoding of electroencephalography (EEG) data in different task datasets. We…

Human-Computer Interaction · Computer Science 2026-05-08 Taeho Kang , Yiyu Chen , Christian Wallraven

We propose a data processing technique that allows searches for a stochastic background of gravitational radiation with data from a single detector. Our technique exploits the difference between the coherence time of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Massimo Tinto , J. W. Armstrong

Network data analysis methods are the only way to properly separate real gravitational wave (GW) transient events from detector noise. They can be divided into two generic classes: the coincidence method and the coherent analysis. The…

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

A binary compact object early in its inspiral phase will be picked up by its nearly monochromatic gravitational radiation by LISA. But even this innocuous appearing candidate poses interesting detection challenges. The data that will be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Aaron Rogan , Sukanta Bose

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) 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…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

Integrated sensing and communication (ISAC) technology has been explored as a potential advancement for future wireless networks, striving to effectively use spectral resources for both communication and sensing. The integration of…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Alice Faisal , Ibrahim Al-Nahhal , Kyesan Lee , Octavia A. Dobre , Hyundong Shin

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

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

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio

The brain effortlessly solves blind source separation (BSS) problems, but the algorithm it uses remains elusive. In signal processing, linear BSS problems are often solved by Independent Component Analysis (ICA). To serve as a model of a…

Neural and Evolutionary Computing · Computer Science 2021-11-18 Yanis Bahroun , Dmitri B Chklovskii , Anirvan M Sengupta

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

Machine Learning · Statistics 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

Gravitational wave detectors like the Einstein Telescope and LISA generate long multivariate time series, which pose significant challenges in spectral density estimation due to a number of overlapping signals as well as the presence of…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Jianan Liu , Avi Vajpeyi , Renate Meyer , Kamiel Janssens , Jeung Eun Lee , Patricio Maturana-Russel , Nelson Christensen , Yixuan Liu

Blind source separation, particularly through independent component analysis (ICA), is widely utilized across various signal processing domains for disentangling underlying components from observed mixed signals, owing to its fully…

Methodology · Statistics 2026-01-06 Qiang Li , Shujian Yu , Liang Ma , Chen Ma , Jingyu Liu , Tulay Adali , Vince D. Calhoun

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

Armstrong et al. have recently presented new ways of combining signals to precisely cancel laser frequency noise in spaceborne interferometric gravitational wave detectors such as LISA. One of these combinations, the symmetrized Sagnac…

Astrophysics · Physics 2014-10-13 Craig J. Hogan , Peter L. Bender

Independent component analysis (ICA) is widely used to separate mixed signals and recover statistically independent components. However, in non-human primate neuroimaging studies, most ICA-recovered spatial maps are often dense. To extract…

Applications · Statistics 2025-09-23 Qiang Li , Liang Ma , Masoud Seraji , Shujian Yu , Yun Wang , Jingyu Liu , Vince D. Calhoun

We present a data analysis methodology for a model-independent reconstruction of the spectral shape of a stochastic gravitational wave background with LISA. We improve a previously proposed reconstruction algorithm that relied on a single…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-17 Raphael Flauger , Nikolaos Karnesis , Germano Nardini , Mauro Pieroni , Angelo Ricciardone , Jesús Torrado

Independent component analysis (ICA) is a widespread data exploration technique, where observed signals are modeled as linear mixtures of independent components. From a machine learning point of view, it amounts to a matrix factorization…

Machine Learning · Statistics 2019-05-28 Pierre Ablin , Alexandre Gramfort , Jean-François Cardoso , Francis Bach
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