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This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

Machine Learning · Statistics 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

We address the characterization of classical fractional random noise via quantum probes. In particular, we focus on estimation and discrimination problems involving the fractal dimension of the trajectories of a system subject to fractional…

Quantum Physics · Physics 2015-06-18 Matteo G. A. Paris

Our understanding of physical systems generally depends on our ability to match complex computational modelling with measured experimental outcomes. However, simulations with large parameter spaces suffer from inverse problem instabilities,…

Plasma Physics · Physics 2020-01-22 M. F. Kasim , T. P. Galligan , J. Topp-Mugglestone , G. Gregori , S. M. Vinko

Noise measurements are a probe beyond simple electronic transport that can reveal additional information about electronic correlations and inelastic processes. Here we report noise measurements in individual electromigrated nanojunctions,…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 P. J. Wheeler , Ruoyu Chen. , D. Natelson

Recent advances in associative memory design through strutured pattern sets and graph-based inference algorithms have allowed the reliable learning and retrieval of an exponential number of patterns. Both these and classical associative…

Neural and Evolutionary Computing · Computer Science 2013-06-04 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav Varshney

Nuclear astrophysics simulations aiming to study the origin of the elements in stars require a multitude of nuclear physics input. Both systematic model dependent and statistically correlated uncertainties need to be considered. An…

Solar and Stellar Astrophysics · Physics 2013-10-18 M. G. Bertolli , F. Herwig , M. Pignatari , T. Kawano

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

Machine Learning · Computer Science 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

Reliability analysis aims at estimating the failure probability of an engineering system. It often requires multiple runs of a limit-state function, which usually relies on computationally intensive simulations. Traditionally, these…

Computation · Statistics 2024-01-22 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

While particle trajectories encode information on their governing potentials, potentials can be challenging to robustly extract from trajectories. Measurement errors may corrupt a particle's position, and sparse sampling of the potential…

Data Analysis, Statistics and Probability · Physics 2022-02-08 J. Shepard Bryan , Prithviraj Basak , John Bechhoefer , Steve Presse

Sparse linear inverse problems appear in a variety of settings, but often the noise contaminating observations cannot accurately be described as bounded by or arising from a Gaussian distribution. Poisson observations in particular are a…

Statistics Theory · Mathematics 2018-02-14 Xin Jiang , Patricia Reynaud-Bouret , Vincent Rivoirard , Laure Sansonnet , Rebecca Willett

Accurate characterization of quantum systems is essential for the development of quantum technologies, particularly in the noisy intermediate-scale quantum (NISQ) era. While traditional methods for Hamiltonian learning and noise…

Quantum Physics · Physics 2025-07-18 Gubio G. de Lima , Iann Cunha , Leonardo Kleber Castelano

With the use of theory developed earlier, bulk effects in ultracold neutron coherent inelastic scattering are considered both for solid and liquid target samples related to energy and momentum exchange with phonon and diffusion-like modes.…

Nuclear Theory · Physics 2009-11-10 A. L. Barabanov , S. T. Belyaev

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Many inverse problems arising in engineering and applied sciences involve unknown quantities with pronounced spatial inhomogeneity, such as localized defects or spatially varying material properties, making reliable uncertainty…

Numerical Analysis · Mathematics 2026-02-10 Babak Maboudi Afkham , Tomas Soto , Mirza Karamehmedovic , Lassi Roininen

Evaluated nuclear data uncertainties are often perceived as unrealistic, most often because they are thought to be too small. The impact of this issue in applied nuclear science has been discussed widely in recent years. Commonly suggested…

Data Analysis, Statistics and Probability · Physics 2020-04-28 R. Capote , S. Badikov , A. Carlson , I. Duran , F. Gunsing , D. Neudecker , V. G. Pronyaev , P. Schillebeeckx , G. Schnabel , D. L. Smith , A. Wallner

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

Label noise is a critical factor that degrades the generalization performance of deep neural networks, thus leading to severe issues in real-world problems. Existing studies have employed strategies based on either loss or uncertainty to…

Machine Learning · Computer Science 2020-08-17 Wonyoung Shin , Jung-Woo Ha , Shengzhe Li , Yongwoo Cho , Hoyean Song , Sunyoung Kwon

In quantum sensing and metrology, an important class of measurement is the continuous linear measurement, in which the detector is coupled to the system of interest linearly and continuously in time. One key aspect involved is the quantum…

Quantum Physics · Physics 2017-01-26 Haixing Miao

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan