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This paper presents an analytical approach of the propagation of an acoustic wave through a normally distributed disordered lattice made up of Helmholtz resonators connected to a cylindrical duct. This approach allows to determine…

经典物理 · 物理学 2009-02-06 Olivier Richoux , E. Morand , L. Simon

In this paper, we analyze posterior consistency of a Bayesian data assimilation problem under discretization. We prove convergence rates for the discrete posterior to ground truth solution under both conforming discretization and finite…

数值分析 · 数学 2025-06-18 Erik Burman , Mingfei Lu

Since forced oscillations are exogenous to dynamic power system models, the models by themselves cannot predict when or where a forced oscillation will occur. Locating the sources of these oscillations, therefore, is a challenging problem…

系统与控制 · 计算机科学 2018-10-31 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

This paper investigates an inverse source problem for space-time fractional diffusion equations from a posteriori interior measurements. The uniqueness result is established by the memory effect of fractional derivatives and the unique…

数值分析 · 数学 2025-10-24 Kai Yu , Zhiyuan Li , Yikan Liu

The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by distant time-harmonic point sources. We aim at estimating the…

偏微分方程分析 · 数学 2019-09-04 Laure Dumaz , Josselin Garnier , Guilhem Lepoultier

We propose a novel method ($floZ$), based on normalizing flows, to estimate the Bayesian evidence (and its numerical uncertainty) from a pre-existing set of samples drawn from the unnormalized posterior distribution. We validate it on…

机器学习 · 统计学 2024-12-06 Rahul Srinivasan , Marco Crisostomi , Roberto Trotta , Enrico Barausse , Matteo Breschi

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

信号处理 · 电气工程与系统科学 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

This paper is a short guideline to the decomposition of a compressible velocity into vortical and compressible structures using standard flow solvers. In particular, this is a fast solution to get an idea of the compressible fields inside…

流体动力学 · 物理学 2023-08-10 Stefan Schoder

We consider audio decoding as an inverse problem and solve it through diffusion posterior sampling. Explicit conditioning functions are developed for input signal measurements provided by an example of a transform domain perceptual audio…

音频与语音处理 · 电气工程与系统科学 2024-09-13 Pedro J. Villasana T. , Lars Villemoes , Janusz Klejsa , Per Hedelin

This work considers an estimation task in compressive sensing, where the goal is to estimate an unknown signal from compressive measurements that are corrupted by additive pre-measurement noise (interference, or clutter) as well as…

机器学习 · 统计学 2013-11-25 Swayambhoo Jain , Akshay Soni , Jarvis Haupt

Acoustic emission (AE) is a widely used technology to study source mechanisms and material properties during high-pressure rock failure experiments. It is important to understand the physical quantities that acoustic emission sensors…

We formulate, and present a numerical method for solving, an inverse problem for inferring parameters of a deterministic model from stochastic observational data (quantities of interest). The solution, given as a probability measure, is…

数值分析 · 数学 2021-05-04 T. Butler , J. D. Jakeman , T. Wildey

In this paper, we investigate an inverse random source problem concerned with recovering the strength of a random, uncorrelated acoustic source from correlation measurements of emitted time-harmonic acoustic waves. Such problems arise in…

数值分析 · 数学 2026-02-25 Philipp Mickan , Thorsten Hohage

A common defect found when reproducing old vinyl and gramophone recordings with mechanical devices are the long pulses with significant low-frequency content caused by the interaction of the arm-needle system with deep scratches or even…

音频与语音处理 · 电气工程与系统科学 2024-11-12 Hugo Tremonte de Carvalho , Flávio Rainho Ávila , Luiz Wagner Pereira Biscainho

Inverse problems are often ill-posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability. This paper is…

数值分析 · 数学 2009-09-14 S. L. Cotter , M. Dashti , A. M. Stuart

This paper is concerned with inverse source problems for the acoustic wave equation in the full space R^3, where the source term is compactly supported in both time and spatial variables. The main goal is to investigate increasing stability…

偏微分方程分析 · 数学 2024-03-14 Chun Liu , Suliang Si , Guanghui Hu , Bo Zhang

Consider the scattering of a time-harmonic acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous acoustic medium. This paper concerns an inverse acoustic-elastic interaction problem, which is to determine the…

数值分析 · 数学 2020-04-22 Heping Dong , Jun Lai , Peijun Li

Superpositions of plane waves are known to approximate well the solutions of the Helmholtz equation. Their use in discretizations is typical of Trefftz methods for Helmholtz problems, aiming to achieve high accuracy with a small number of…

数值分析 · 数学 2023-12-21 Emile Parolin , Daan Huybrechs , Andrea Moiola

Localizing a moving sound source in the real world involves determining its direction-of-arrival (DOA) and distance relative to a microphone. Advancements in DOA estimation have been facilitated by data-driven methods optimized with large…

声音 · 计算机科学 2023-09-19 Saksham Singh Kushwaha , Iran R. Roman , Magdalena Fuentes , Juan Pablo Bello

Location information can be a valuable signal for audio segmentation tasks, especially as a complement to methods focusing on the content or qualities of the sources. Though audio source localization is typically performed using the…

音频与语音处理 · 电气工程与系统科学 2026-05-12 Matthew Maciejewski
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