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Quantitative photoacoustic tomography (QPAT) is a recent hybrid imaging modality that couples optical tomography with ultrasound imaging to achieve high resolution imaging of optical properties of scattering media. Image reconstruction in…

Analysis of PDEs · Mathematics 2015-09-02 Tian Ding , Kui Ren , Sarah Vallelian

This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the…

Numerical Analysis · Mathematics 2024-06-07 Qingqing Yu , Bo Chen , Jiaru Wang , Yao Sun

This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks, directly through an indicator function…

Mathematical Physics · Physics 2012-12-27 Jingzhi Li , Jun Zou

Blind acoustic parameter estimation consists in inferring the acoustic properties of an environment from recordings of unknown sound sources. Recent works in this area have utilized deep neural networks trained either partially or…

Sound · Computer Science 2022-07-20 Prerak Srivastava , Antoine Deleforge , Emmanuel Vincent

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

Indirect experiments provide a valuable framework for estimating treatment effects in situations where conducting randomized control trials (RCTs) is impractical or unethical. Unlike RCTs, indirect experiments estimate treatment effects by…

Machine Learning · Computer Science 2023-12-06 Yash Chandak , Shiv Shankar , Vasilis Syrgkanis , Emma Brunskill

Objective: Quantitative technique based on In-line phase-contrast computed tomography with single scanning attracts more attention in application due to the flexibility of the implementation. However, the quantitative results usually suffer…

Medical Physics · Physics 2022-06-13 Suyu Liao , Shiwo Deng , Yining Zhu , Huitao Zhang , Peiping Zhu , Kai Zhang , Xing Zhao

This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the locally rough…

Numerical Analysis · Mathematics 2023-05-11 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

Informed speaker extraction aims to extract a target speech signal from a mixture of sources given prior knowledge about the desired speaker. Recent deep learning-based methods leverage a speaker discriminative model that maps a reference…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Mohamed Elminshawi , Wolfgang Mack , Emanuël A. P. Habets

A sound source was proposed for acoustic measurements of physical models of the human vocal tract. The physical models are produced by Fast Prototyping, based on Magnetic Resonance Imaging during prolonged vowel production. The sound…

Instrumentation and Detectors · Physics 2017-11-22 Antti Hannukainen , Juha Kuortti , Jarmo Malinen , Antti Ojalammi

In this work, we propose an innovative iterative direct sampling method to solve nonlinear elliptic inverse problems from a limited number of pairs of Cauchy data. It extends the original direct sampling method (DSM) by incorporating an…

Numerical Analysis · Mathematics 2025-03-04 Kazufumi Ito , Bangti Jin , Fengru Wang , Jun Zou

Source enumeration, the task of estimating the number of sources from the signal received by the array of antennas, is a critical problem in array signal processing. Numerous methods have been proposed to estimate the number of sources…

Signal Processing · Electrical Eng. & Systems 2025-07-03 Gokularam Muthukrishnan , Siva Shanmugam , Sheetal Kalyani

Weak measurements have thus far been considered instrumental in the so-called direct measurement of the quantum wavefunction [Nature (London) 474, 188 (2011)]. Here we show that direct measurement of the wavefunction can be obtained by…

Quantum Physics · Physics 2016-02-02 Giuseppe Vallone , Daniele Dequal

This paper investigates the problem of recovering source terms in abstract initial value problems (IVP) commonly used to model various scientific phenomena in physics, chemistry, economics, and other fields. We consider source terms of the…

Dynamical Systems · Mathematics 2024-01-30 Akram Aldroubi , Le Gong , Ilya Krishtal , Brendan Miller , Sumati Thareja

Quantitative acoustic microscopy (QAM) is a cutting-edge imaging modality that leverages very high-frequency ultrasound to characterize the acoustic and mechanical properties of biological tissues at microscopic resolutions. Radio-frequency…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Lorena Leon , Jonathan Mamou , Denis Kouamé , Adrian Basarab

This paper is concerned with the inverse problem of determining the shape of penetrable periodic scatterers from scattered field data. We propose a sampling method with a novel indicator function for solving this inverse problem. This…

Numerical Analysis · Mathematics 2023-05-24 Dinh-Liem Nguyen , Kale Stahl , Trung Truong

In this paper we propose an approach for \emph{simultaneous} identification of the \emph{absorption density} and the \emph{speed of sound} by photoacoustic measurements. Experimentally our approach can be realized with sliced photoacoustic…

Analysis of PDEs · Mathematics 2011-09-28 Andreas Kirsch , Otmar Scherzer

In this paper, we investigate the direct and linear inverse problems of identifying time-dependent and time-independent source terms in a time-fractional diffusion-wave equation, using measured data at an interior point of the time…

Analysis of PDEs · Mathematics 2025-08-11 Rahmonov Askar Ahmadovich

We investigate the inverse problem of recovering an initial source for the wave equation with fractional attenuation, motivated by photoacoustic tomography (PAT). The attenuation is modeled by a Caputo fractional derivative of order…

Analysis of PDEs · Mathematics 2025-10-10 Sebastian Acosta , Benjamin Palacios

The objective of quantitative photoacoustic tomography (QPAT) is to reconstruct optical and thermodynamic properties of heterogeneous media from data of absorbed energy distribution inside the media. There have been extensive theoretical…

Medical Physics · Physics 2019-10-08 Alexander V. Mamonov , Kui Ren