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Gravitational wave (GW) detectors, such as LIGO, Virgo, and KAGRA, detect faint signals from distant astrophysical events. However, their high sensitivity also makes them susceptible to background noise, which can obscure these signals.…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Tom Dooney , Harsh Narola , Stefano Bromuri , R. Lyana Curier , Chris Van Den Broeck , Sarah Caudill , Daniel Stanley Tan

Symbolic representations of time series have proven to be effective for time series classification, with many recent approaches including SAX-VSM, BOSS, WEASEL, and MrSEQL. The key idea is to transform numerical time series to symbolic…

Machine Learning · Computer Science 2022-03-16 Thach Le Nguyen , Georgiana Ifrim

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

Simplex identification via split augmented Lagrangian (SISAL) is a popularly-used algorithm in blind unmixing of hyperspectral images. Developed by Jos\'{e} M. Bioucas-Dias in 2009, the algorithm is fundamentally relevant to tackling…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Chujun Huang , Mingjie Shao , Wing-Kin Ma , Anthony Man-Cho So

Rational approximation schemes for reconstructing periodic signals from samples with poorly separated spectral content are described. These methods are automatic and adaptive, requiring no tuning or manual parameter selection. Collectively,…

Numerical Analysis · Mathematics 2021-12-10 Heather Wilber , Anil Damle , Alex Townsend

The extraction of a desired speech signal from a noisy environment has become a challenging issue. In the recent years, the scientific community has particularly focused on multichannel techniques which are dealt with in this review. In…

Sound · Computer Science 2013-01-01 Adel Hidri , Souad Meddeb , Hamid Amiri

Seismic data noise processing is an important part of seismic exploration data processing, and the effect of noise elimination is directly related to the follow-up processing of data. In response to this problem, many authors have proposed…

Geophysics · Physics 2024-10-28 Junheng Peng , Yong Li , Zhangquan Liao , Xuben Wang , Xingyu Yang

We consider the well-studied problem of decomposing a vector time series signal into components with different characteristics, such as smooth, periodic, nonnegative, or sparse. We describe a simple and general framework in which the…

Machine Learning · Computer Science 2022-09-21 Bennet E. Meyers , Stephen P. Boyd

Signal extraction out of background noise is a common challenge in high precision physics experiments, where the measurement output is often a continuous data stream. To improve the signal to noise ratio of the detection, witness sensors…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Gabriele Vajente , Yiwen Huang , Maximiliano Isi , Jenne C. Driggers , Jeffrey S. Kissel , Marek J. Szczepanczyk , Salvatore Vitale

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

This paper presents a robust multi-channel speaker extraction algorithm designed to handle inaccuracies in reference information. While existing approaches often rely solely on either spatial or spectral cues to identify the target speaker,…

Sound · Computer Science 2025-12-24 Aviad Eisenberg , Sharon Gannot , Shlomo E. Chazan

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

We propose an algorithm to impute and forecast a time series by transforming the observed time series into a matrix, utilizing matrix estimation to recover missing values and de-noise observed entries, and performing linear regression to…

Machine Learning · Computer Science 2019-04-29 Anish Agarwal , Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

Although it is widely understood that pulsar timing observations generally contain time-correlated stochastic signals (TCSSs; red timing noise is of this type), most data analysis techniques that have been developed make an assumption that…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Rutger van Haasteren , Yuri Levin

In the analysis of High-Energy Physics data, it is frequently desired to separate resonant signals from a smooth, non-resonant background. This paper introduces a new technique - functional decomposition (FD) - to accomplish this task. It…

Data Analysis, Statistics and Probability · Physics 2018-05-15 Ryan Edgar , Dante Amidei , Christopher Grud , Karishma Sekhon

In this paper we observe a set, possibly a continuum, of signals corrupted by noise. Each signal is a finite mixture of an unknown number of features belonging to a continuous dictionary. The continuous dictionary is parametrized by a real…

Machine Learning · Statistics 2024-02-26 Cristina Butucea , Jean-François Delmas , Anne Dutfoy , Clément Hardy

The proliferation of spectroscopic data across various scientific and engineering fields necessitates automated processing. We introduce OASIS (Omni-purpose Analysis of Spectra via Intelligent Systems), a machine learning (ML) framework for…

Machine Learning · Computer Science 2025-09-16 Chris Young , Juejing Liu , Marie L. Mortensen , Yifu Feng , Elizabeth Li , Zheming Wang , Xiaofeng Guo , Kevin M. Rosso , Xin Zhang

We propose an efficient algorithm for reconstructing one-dimensional wide-band line spectra from their Fourier data in a bounded interval $[-\Omega,\Omega]$. While traditional subspace methods such as MUSIC achieve super-resolution for…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Zetao Fei , Hai Zhang

LISA is the proposed ESA-NASA gravitational wave detector in the 0.1 mHz - 0.1 Hz band. LISA Pathfinder is the down-scaled version of a single LISA arm. The arm -- named Doppler link -- can be treated as a differential accelerometer,…

General Relativity and Quantum Cosmology · Physics 2012-04-20 Giuseppe Congedo

Music Structure Analysis (MSA) consists of representing a song in sections (such as ``chorus'', ``verse'', ``solo'' etc), and can be seen as the retrieval of a simplified organization of the song. This work presents a new algorithm, called…

Sound · Computer Science 2023-09-27 Axel Marmoret , Jérémy E. Cohen , Frédéric Bimbot