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A common task in inverse problems and imaging is finding a solution that is sparse, in the sense that most of its components vanish. In the framework of compressed sensing, general results guaranteeing exact recovery have been proven. In…

数值分析 · 数学 2021-04-29 Monica Pragliola , Daniela Calvetti , Erkki Somersalo

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple…

数值分析 · 数学 2023-07-19 Yan Chang , Yukun Guo , Hongyu Liu , Deyue Zhang

In Bayesian statistics, many problems can be expressed as the evaluation of the expectation of a quantity of interest with respect to the posterior distribution. Standard Monte Carlo method is often not applicable because the encountered…

统计计算 · 统计学 2011-10-11 James L. Beck , Konstantin M. Zuev

A method is presented to tackle the sign problem in the simulations of systems having indefinite or complex-valued measures. In general, this new approach is shown to yield statistical errors smaller than the crude Monte Carlo using…

高能物理 - 格点 · 物理学 2008-11-26 T D Kieu , C J Griffin

Calculating the inverse kinematics (IK) is a fundamental challenge in robotics. Compared to numerical or learning-based approaches, analytical IK provides higher efficiency and accuracy. However, existing analytical approaches are difficult…

机器人学 · 计算机科学 2025-08-22 Daniel Ostermeier , Jonathan Külz , Matthias Althoff

Ion-mobility spectrometry (IMS) is an analytical technique used to separate and identify ionized gas molecules based on their mobility in a carrier buffer gas. Such methods come in a large variety of versions that currently allow ion…

仪器与探测器 · 物理学 2013-03-15 Juan J. Ortiz , Guillermo P. Ortiz , Christian Nigri , Carlos Lasorsa

Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

计算工程、金融与科学 · 计算机科学 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

Among numerous blind source separation (BSS) methods, convolutive transfer function-based multichannel non-negative matrix factorization (CTF-MNMF) has demonstrated strong performance in highly reverberant environments by modeling…

声音 · 计算机科学 2025-10-06 Xuemai Xie , Xianrui Wang , Liyuan Zhang , Yichen Yang , Shoji Makino

The multivariate regression model basically offers the analysis of a single dataset with multiple responses. However, such a single-dataset analysis often leads to unsatisfactory results. Integrative analysis is an effective method to pool…

统计方法学 · 统计学 2023-04-18 Shuichi Kawano , Toshikazu Fukushima , Junichi Nakagawa , Mamoru Oshiki

Understanding grain-surface processes is crucial to interpreting the chemistry of the ISM. However, accurate surface chemistry models are computationally expensive and are difficult to integrate with gas-phase simulations. A new…

天体物理学 · 物理学 2009-11-13 R. T. Garrod

This paper proposes an uncertainty-aware marine pollution source tracking framework for unmanned surface vehicles (USVs). By integrating high-fidelity marine pollution dispersion simulation with informative path planning techniques, we…

机器人学 · 计算机科学 2025-11-12 Song Ma , Yanchao Wang , Richard Bucknall , Yuanchang Liu

We present a framework for simulating realistic inverse synthetic aperture radar images of automotive targets at millimeter wave frequencies. The model incorporates radar scattering phenomenology of commonly found vehicles along with…

信号处理 · 电气工程与系统科学 2021-03-19 Neeraj Pandey , Shobha Sundar Ram

This paper investigates the uplink cascaded channel estimation for intelligent-reflecting-surface (IRS)-assisted multi-user multiple-input-single-output systems. We focus on a sub-6 GHz scenario where the channel propagation is not sparse…

信号处理 · 电气工程与系统科学 2022-09-07 Huayan Guo , Vincent K. N. Lau

Chemicals released in the air can be extremely dangerous for human beings and the environment. Hyperspectral images can be used to identify chemical plumes, however the task can be extremely challenging. Assuming we know a priori that some…

数值分析 · 数学 2016-04-27 Antonio Cicone , Jingfang Liu , Haomin Zhou

The Hamiltonian Monte Carlo (HMC) method allows sampling from continuous densities. Favorable scaling with dimension has led to wide adoption of HMC by the statistics community. Modern auto-differentiating software should allow more…

统计计算 · 统计学 2022-08-17 Ian Langmore , Michael Dikovsky , Scott Geraedts , Peter Norgaard , Rob von Behren

We study sampling from posterior distributions in Bayesian linear inverse problems where $A$, the parameters to observables operator, is computationally expensive. In many applications, $A$ can be factored in a manner that facilitates the…

机器学习 · 统计学 2026-05-19 Youguang Chen , George Biros

Importance sampling (IS) is a Monte Carlo technique for the approximation of intractable distributions and integrals with respect to them. The origin of IS dates from the early 1950s. In the last decades, the rise of the Bayesian paradigm…

统计计算 · 统计学 2024-06-21 Víctor Elvira , Luca Martino

Iterative Synthetic Control Method is introduced in this study, a modification of the Synthetic Control Method (SCM) designed to improve its predictive performance by utilizing control units affected by the treatment in question. This…

计量经济学 · 经济学 2024-05-06 Andrii Melnychuk

This paper addresses the high dimensionality problem in blind source separation (BSS), where the number of sources is greater than two. Two pairwise iterative schemes are proposed to tackle this high dimensionality problem. The two pairwise…

声音 · 计算机科学 2016-04-19 Zaid Albataineh , Fathi M. Salem

We study an inverse random obstacle scattering problems in $\mathbb{R}^2$ where the scatterer is formulated by a Gaussian process defined on the angular parameter domain. Equipped with a modified covariance function which is mathematically…

数值分析 · 数学 2026-02-02 Zhiqi Sun , Xiang Xu , Yiwen Lin