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Efficient and accurate numerical simulation of 3D acoustic wave propagation in heterogeneous media plays an important role in the success of seismic full waveform inversion (FWI) problem. In this work, we employed the combined scheme and…

Numerical Analysis · Computer Science 2019-05-13 Keran Li , Wenyuan Liao

The focus of this article is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such functions depend upon the use of particular conformal maps from…

Numerical Analysis · Mathematics 2014-05-05 Ben Adcock , Mark Richardson

Acoustic and entropy waves interacting in a duct with a steady heat source and mean flow are analysed using an asymptotic expansion (AE) for low frequencies. The analytical AE solutions are obtained by taking advantage of flow invariants…

Fluid Dynamics · Physics 2022-07-21 Jiaqi Nan , Jingxuan Li , Aimee S. Morgans , Lizi Qin , Lijun Yang

We introduce a new method to jointly reduce the dimension of the input and output space of a function between high-dimensional spaces. Choosing a reduced input subspace influences which output subspace is relevant and vice versa.…

Machine Learning · Statistics 2025-04-01 Qiao Chen , Elise Arnaud , Ricardo Baptista , Olivier Zahm

This paper tackles the data-driven approximation of unknown dynamical systems using Koopman-operator methods. Given a dictionary of functions, these methods approximate the projection of the action of the operator on the finite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Masih Haseli , Jorge Cortés

The pure tone hearing threshold is usually estimated from responses to stimuli at a set of standard frequencies. This paper describes a probabilistic approach to the estimation problem in which the hearing threshold is modelled as a smooth…

Applications · Statistics 2016-03-17 Marco Cox , Bert de Vries

We calculate frequency spectra of absolute optical instruments using the WKB approximation. The resulting eigenfrequencies approximate the actual values very accurately, in some cases they even give the exact values. Our calculations…

Optics · Physics 2014-06-16 Tomas Tyc

A new optimized band-pass filter for wavelengths is proposed to increase the optical temporal coherence of thermal light. The choice of parameters for this filter is based on solving an optimization problem for finding the most intensely…

Optics · Physics 2019-05-22 Anatoliy I Fisenko , Vladimir F Lemberg

This paper is concerned with a numerical solution of the acoustic scattering by a bounded impenetrable obstacle in three dimensions. The obstacle scattering problem is formulated as a boundary value problem in a bounded domain by using a…

Numerical Analysis · Mathematics 2020-01-17 Gang Bao , Mingming Zhang , Bin Hu , Peijun Li

Ordinary differential equations (ODEs) are commonly used to model dynamic behavior of a system. Because many parameters are unknown and have to be estimated from the observed data, there is growing interest in statistics to develop…

Statistics Theory · Mathematics 2010-01-13 Xin Qi , Hongyu Zhao

An optimisation scheme is developed to accurately represent the sub-grid scale forcing of a high dimensional chaotic ocean system. Using a simple parameterisation scheme, the velocity components of a 30km resolution shallow water ocean…

Atmospheric and Oceanic Physics · Physics 2015-05-20 Fenwick C. Cooper , Laure Zanna

We introduce Multi-level feature Fusion-based Periodicity Analysis Model (MF-PAM), a novel deep learning-based pitch estimation model that accurately estimates pitch trajectory in noisy and reverberant acoustic environments. Our model…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-11 Woo-Jin Chung , Doyeon Kim , Soo-Whan Chung , Hong-Goo Kang

In this paper, we consider signals with intra-wave frequency modulation. To handle this kind of signals effectively, we generalize our data-driven time-frequency analysis by using a shape function to describe the intra-wave frequency…

Information Theory · Computer Science 2016-04-27 Thomas Y. Hou , Zuoqiang Shi

Acoustic velocity vectors (AVVs) are related to the human's perception of sound at low frequencies and are widely used in Ambisonics. This paper proposes a spatial sound field reproduction algorithm called velocity matching, which…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-06 Jiarui Wang , Thushara Abhayapala , Jihui Aimee Zhang , Prasanga Samarasinghe

This work explores multi-modal inference in a high-dimensional simplified model, analytically quantifying the performance gain of multi-modal inference over that of analyzing modalities in isolation. We present the Bayes-optimal performance…

Machine Learning · Statistics 2025-09-30 Christian Keup , Lenka Zdeborová

Amplitude estimation is a fundamental quantum algorithmic primitive that enables quantum computers to achieve quadratic speedups for a large class of statistical estimation problems, including Monte Carlo methods. The main drawback from the…

The choice of an optimal time-frequency resolution is usually a difficult but important step in tasks involving speech signal classification, e.g., speech anti-spoofing. The variations of the performance with different choices of…

Sound · Computer Science 2021-10-12 Wei Liu , Meng Sun , Xiongwei Zhang , Hugo Van hamme , Thomas Fang Zheng

In deep tissue photoacoustic imaging the spatial resolution is inherently limited by the acoustic wavelength. Recently, it was demonstrated that it is possible to surpass the acoustic diffraction limit by analyzing fluctuations in a set of…

We propose that a pulsed quantum optomechanical system can be applied for the problem of quantum parameter estimation, which targets to yield higher precision of parameter estimation utilizing quantum resource than that using classical…

Quantum Physics · Physics 2016-02-17 Qiang Zheng , Yao Yao , Yong Li

This paper investigates existence of the nonstandard Pade approximants introduced by Cherkaev and Zhang in J. Comp. Phys. 2009 for approximating the spectral function of composites from effective properties at different frequencies. The…

Complex Variables · Mathematics 2010-02-25 Miao-jung Yvonne Ou
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