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We describe a novel method to compute the components of dynamo tensors from direct magnetohydrodynamic (MHD) simulations. Our method relies upon an extension and generalisation of the standard H\"ogbom CLEAN algorithm widely used in radio…

Astrophysics of Galaxies · Physics 2024-04-24 Abhijit B. Bendre , Jennifer Schober , Prasun Dhang , Kandaswamy Subramanian

Computer simulators are often used as a substitute of complex real-life phenomena which are either expensive or infeasible to experiment with. This paper focuses on how to efficiently solve the inverse problem for an expensive to evaluate…

Methodology · Statistics 2022-11-03 Pritam Ranjan , Joseph Resch , Abhyuday Mandal

The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data,…

Numerical Analysis · Mathematics 2020-02-11 Toby Sanders , Rodrigo B. Platte , Robert D. Skeel

Near-infrared spectroscopy (NIRS) including diffuse optical tomography is an imaging modality which makes use of diffuse light propagation in random media. When optical properties of a random medium is investigated from boundary…

Computational Physics · Physics 2019-08-27 Yu Jiang , Yoko Hoshi , Manabu Machida , Gen Nakamura

Markov chain Monte Carlo (MCMC) simulation methods are widely used to assess parametric uncertainties of hydrologic models conditioned on measurements of observable state variables. However, when the model is CPU-intensive and…

Optimization and Control · Mathematics 2018-06-18 Jiangjiang Zhang , Jun Man , Guang Lin , Laosheng Wu , Lingzao Zeng

This paper studies the estimation of cascaded channels in passive intelligent reflective surface (IRS)- aided multiple-input multiple-output (MIMO) systems employing hybrid precoders and combiners. We propose a low-complexity solution that…

Signal Processing · Electrical Eng. & Systems 2023-03-14 K. F. Masood , J. Tong , J. Xi , J. Yuan , Y. Yu

The efficient resolution of Bayesian inverse problems remains challenging due to the high computational cost of traditional sampling methods. In this paper, we propose a novel framework that integrates Conditional Flow Matching (CFM) with a…

Machine Learning · Computer Science 2025-05-20 Daniil Sherki , Ivan Oseledets , Ekaterina Muravleva

Inverse scattering problems have many important applications. In this paper, given limited aperture data, we propose a Bayesian method for the inverse acoustic scattering to reconstruct the shape of an obstacle. The inverse problem is…

Analysis of PDEs · Mathematics 2019-05-30 Zhaoxiang Li , Zhiliang Deng , Jiguang Sun

In this work we propose and numerically analyze an algorithm for detection of a contaminant source using a dynamic sensor network. The algorithm is motivated using a global probabilistic optimization problem and is based on the analysis of…

Probability · Mathematics 2015-10-21 Sergio A. Almada Monter , Amarjit Budhiraja , Jan Hannig

The contrast source inversion (CSI) method and the subspace-based optimization method (SOM) are first proposed in 1997 and 2009, respectively, and subsequently modified. The two methods and their variants share several properties and thus…

Numerical Analysis · Mathematics 2026-03-25 Qiao Hu , Bo Zhang , Haiwen Zhang

Causal discovery is fundamental to scientific research, yet traditional statistical algorithms face significant challenges, including expensive data collection, redundant computation for known relations, and unrealistic assumptions. While…

Computation and Language · Computer Science 2025-10-13 Tao Feng , Lizhen Qu , Niket Tandon , Gholamreza Haffari

Ensemble smoother (ES) has been widely used in inverse modeling of hydrologic systems. However, for problems where the distribution of model parameters is multimodal, using ES directly would be problematic. One popular solution is to use a…

Optimization and Control · Mathematics 2018-02-27 Jiangjiang Zhang , Guang Lin , Weixuan Li , Laosheng Wu , Lingzao Zeng

We propose a systematic method to directly identify a sensor fault estimation filter from plant input/output data collected under fault-free condition. This problem is challenging, especially when omitting the step of building an explicit…

Systems and Control · Computer Science 2015-05-11 Yiming Wan , Tamas Keviczky , Michel Verhaegen

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Numerical Analysis · Mathematics 2017-11-15 Matthias Morzfeld , Marcus S. Day , Ray W. Grout , George Shu Heng Pau , Stefan A. Finsterle , John B. Bell

Inverse scattering problems are critical in electromagnetic imaging and medical diagnostics but are challenged by their nonlinearity and diverse measurement scenarios. This paper proposes a physics-informed deep contrast source inversion…

Computational Physics · Physics 2025-08-15 Haoran Sun , Daoqi Liu , Hongyu Zhou , Maokun Li , Shenheng Xu , Fan Yang

Diffusion models have emerged as powerful generative priors for solving inverse imaging problems. However, their practical deployment is hindered by the substantial computational cost of slow, multi-step sampling. Although Consistency…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Amirreza Tanevardi , Pooria Abbas Rad Moghadam , Seyed Mohammad Eshtehardian , Sajjad Amini , Babak Khalaj

In the scope of "AI for Science", solving inverse problems is a longstanding challenge in materials and drug discovery, where the goal is to determine the hidden structures given a set of desirable properties. Deep generative models are…

Machine Learning · Computer Science 2022-12-05 Jiaxin Zhang , Sirui Bi , Victor Fung

To reduce the complexity of infrared spectroscopy hardware while maintaining performance, a data informed, task-specific, spectral collection approach termed Sparse Infrared Spectroscopy (SIRS) is developed. Using a numerically based…

Chemical Physics · Physics 2025-06-27 Mira Welner , Andre Hazbun , Thomas Beechem

A novel iterative Equivalent Surface Current (iESC) algorithm has been developed to simulate the electromagnetic scattering of electrically large dielectric objects with relatively smooth surfaces. The iESC algorithm corrects the surface…

Computational Engineering, Finance, and Science · Computer Science 2020-07-29 Shaolin Liao , Lu Ou

The efficient importance sampling (EIS) method is a general principle for the numerical evaluation of high-dimensional integrals that uses the sequential structure of target integrands to build variance minimising importance samplers.…

Computation · Statistics 2013-09-27 Marcel Scharth , Robert Kohn