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This paper introduces an area-based source separation method designed for virtual meeting scenarios. The aim is to preserve speech signals from an unspecified number of sources within a defined spatial area in front of a linear microphone…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-20 Martin Strauss , Okan Köpüklü

Time-resolved magnetic sensing is of great importance from fundamental studies to applications in physical and biological sciences. Recently the nitrogen-vacancy (NV) defect center in diamond has been developed as a promising sensor of…

We propose a new unsupervised and non-parametric method to detect change points in intricate quasi-periodic signals. The detection relies on optimal transport theory combined with topological analysis and the bootstrap procedure. The…

Machine Learning · Computer Science 2022-11-15 Nikolay Shvetsov , Nazar Buzun , Dmitry V. Dylov

A unified approach to derive optimal finite differences is presented which combines three critical elements for numerical performance especially for multi-scale physical problems, namely, order of accuracy, spectral resolution and…

Computational Physics · Physics 2019-10-23 Komal Kumari , Raktim Bhattacharya , Diego A. Donzis

This paper is concerned with identification of a spatial source function from final time observation in a bi-parabolic equation, where the full source function is assumed to be a product of time dependent and a space dependent function. Due…

Analysis of PDEs · Mathematics 2023-05-03 Subhankar Mondal , M. Thamban Nair

Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory mono-components, like the groundbreaking Empirical Mode…

Numerical Analysis · Mathematics 2024-01-30 Giovanni Barbarino , Antonio Cicone

Following an earthquake, it is vital to quickly evaluate the safety of the impacted areas. Damage detection systems, powered by computer vision and deep learning, can assist experts in this endeavor. However, the lack of extensive, labeled…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Piercarlo Dondi , Alessio Gullotti , Michele Inchingolo , Ilaria Senaldi , Chiara Casarotti , Luca Lombardi , Marco Piastra

We propose a new solution to the blind source separation problem that factors mixed time-series signals into a sum of spatiotemporal modes, with the constraint that the temporal components are intrinsic mode functions (IMF's). The key…

Numerical Analysis · Mathematics 2018-06-25 Seth M. Hirsh , Bingni W. Brunton , J. Nathan Kutz

A method is proposed, based on scan statistics, to detect, identify, and localize illicit radiological material using mobile sensors in an urban environment. Our method handles varying levels of background radiation that change according to…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Michael D. Porter , Alphonse Akakpo

Consider a source that produces independent copies of a triplet of jointly distributed random variables, $\{X_{i},Y_{i},Z_{i}\}_{i=1}^{\infty}$. The process $\{X_{i}\}$ is observed at the encoder, and is supposed to be reproduced at two…

Information Theory · Computer Science 2008-12-18 Alina Maor , Neri Merhav

In this paper, we consider a multiple-input single-output (MISO) linear time-varying system whose output is a superposition of scaled and time-frequency shifted versions of inputs. The goal of this paper is to determine system…

Information Theory · Computer Science 2020-11-24 Shahedeh Sayyari , Sajad Daei , Farzan Haddadi

We study the seismic inverse problem for the recovery of subsurface properties in acoustic media. In order to reduce the ill-posedness of the problem, the heterogeneous wave speed parameter to be recovered is represented using a limited…

Analysis of PDEs · Mathematics 2020-09-10 Florian Faucher , Otmar Scherzer , Hélène Barucq

The important question of absolute dating of seismic phenomena has been the study of several researchers over the past few decades. The relevant research has concentrated on 'energy traps' of minerals, such as quartz or feldspar, which may…

We present a new method of analysis of measure-preserving dynamical systems, based on frequency analysis and ergodic theory, which extends our earlier work [1]. Our method employs the novel concept of harmonic time average [2], and is…

Chaotic Dynamics · Physics 2014-07-29 Zoran Levnajić , Igor Mezić

Resonance frequencies can provide useful information on the deformation occurring during fracturing experiments or $CO_2$ management, complementary to the microseismic event distribution. An accurate time-frequency representation is of…

Geophysics · Physics 2013-01-08 Roberto H. Herrera , Jean-Baptiste Tary , Mirko van der Baan

The physical position is crucial in location-aware services or protocols based on geographic information, where localization is performed given a set of sensor measurements for acquiring the position of an object with respect to a certain…

Applications · Statistics 2022-04-14 Wu Junfeng , Mu Biqiang , Yi Xinlei , Wei Jieqiang , Johansson Karl Henrik

Based on the principles of information theory, measure theory, and theoretical computer science, we introduce a signal deconvolution method with a wide range of applications to coding theory, particularly in zero-knowledge one-way…

Information Theory · Computer Science 2024-12-23 Hector Zenil , Felipe S. Abrahão , Luan C. S. M. Ozelim

In this paper, a fresh procedure to handle image mixtures by means of blind signal separation relying on a combination of second order and higher order statistics techniques are introduced. The problem of blind signal separation is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Felipe P. do Carmo , Joaquim T. de Assis , Vania V. Estrela , Alessandra M. Coelho

Transseries expansions build upon ordinary power series methods by including additional basis elements such as exponentials and logarithms. Alternative summation methods can then be used to "resum" series to obtain more efficient…

Dynamical Systems · Mathematics 2021-12-08 Inês Aniceto , Daniel Hasenbichler , Christopher J. Howls , Christopher J. Lustri

Over short time intervals planetary ephemerides have been traditionally represented in analytical form as finite sums of periodic terms or sums of Poisson terms that are periodic terms with polynomial amplitudes. Nevertheless, this…

Instrumentation and Methods for Astrophysics · Physics 2017-01-26 Yanning Fu , Jacques Laskar
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