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Markov chain Monte Carlo methods are a powerful and commonly used family of numerical methods for sampling from complex probability distributions. As applications of these methods increase in size and complexity, the need for efficient…

Numerical Analysis · Mathematics 2019-01-31 Colin Cotter , Simon Cotter , Paul Russell

Pool-based Active Learning (AL) has achieved great success in minimizing labeling cost by sequentially selecting informative unlabeled samples from a large unlabeled data pool and querying their labels from oracle/annotators. However,…

Machine Learning · Computer Science 2022-07-05 Xueying Zhan , Zeyu Dai , Qingzhong Wang , Qing Li , Haoyi Xiong , Dejing Dou , Antoni B. Chan

The multilevel Monte Carlo (MLMC) method for continuous-time Markov chains, first introduced by Anderson and Higham (SIAM Multiscal Model. Simul. 10(1), 2012), is a highly efficient simulation technique that can be used to estimate various…

Numerical Analysis · Mathematics 2022-11-08 Chiheb Ben Hammouda , Nadhir Ben Rached , Raul Tempone

Monte Carlo simulations of neutronic systems are computationally intensive and demand significant memory resources for high-fidelity modeling. Compressed sensing enables accurate reconstruction of signals from significantly fewer samples…

Computational Physics · Physics 2026-02-10 Ethan Lame , Camille Palmer , Todd Palmer , Ilham Variansyah

This paper deals with the estimation of rare event probabilities using importance sampling (IS), where an optimal proposal distribution is computed with the cross-entropy (CE) method. Although, IS optimized with the CE method leads to an…

Computation · Statistics 2020-02-05 Patrick Héas

This letter proposes a novel and highly efficient distribution system state estimation (DSSE) algorithm with nonlinear measurements from supervisory control and data acquisition (SCADA) systems. Conventional DSSE, i.e., a weighted least…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Ying Zhang , Jianhui Wang

Simple Monte Carlo is a versatile computational method with a convergence rate of $O(n^{-1/2})$. It can be used to estimate the means of random variables whose distributions are unknown. Bernoulli random variables, $Y$, are widely used to…

Numerical Analysis · Mathematics 2014-11-06 Lan Jiang , Fred J. Hickernell

Computer simulations of photon transport through an absorbing and/or scattering medium form an important research tool in astrophysics. Nearly all software codes performing such simulations for three-dimensional geometries employ the Monte…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 Peter Camps , Maarten Baes

When recovering a sparse signal from noisy compressive linear measurements, the distribution of the signal's non-zero coefficients can have a profound effect on recovery mean-squared error (MSE). If this distribution was apriori known, then…

Information Theory · Computer Science 2015-06-05 Jeremy P. Vila , Philip Schniter

The At-Most-One (AMO) constraint is a special case of cardinality constraint that requires at most one variable from a set of Boolean variables to be set to TRUE. AMO is important for modeling problems as Boolean satisfiability (SAT) from…

Artificial Intelligence · Computer Science 2020-06-11 Pavel Surynek

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

Statistical Mechanics · Physics 2007-05-23 A. Brandt , V. Ilyin

Cr\'epey, Frikha, and Louzi (2025) introduced a multilevel stochastic approximation scheme to compute the value-at-risk of a financial loss that is only simulatable by Monte Carlo. The best complexity of the scheme is in…

Risk Management · Quantitative Finance 2026-04-14 Stéphane Crépey , Noufel Frikha , Azar Louzi , Jonathan Spence

The MIEZE (Modulation of Intensity with Zero Effort) technique is a variant of neutron resonance spin echo (NRSE), which has proven to be a unique neutron scattering technique for measuring with high energy resolution in magnetic fields.…

Instrumentation and Detectors · Physics 2013-04-22 T. Weber , G. Brandl , R. Georgii , W. Häußler , S. Weichselbaumer , P. Böni

We propose to use deep neural networks for generating samples in Monte Carlo integration. Our work is based on non-linear independent components estimation (NICE), which we extend in numerous ways to improve performance and enable its…

Machine Learning · Computer Science 2019-09-04 Thomas Müller , Brian McWilliams , Fabrice Rousselle , Markus Gross , Jan Novák

Safety evaluation of self-driving technologies has been extensively studied. One recent approach uses Monte Carlo based evaluation to estimate the occurrence probabilities of safety-critical events as safety measures. These Monte Carlo…

Methodology · Statistics 2019-07-19 Zhiyuan Huang , Mansur Arief , Henry Lam , Ding Zhao

Simulated annealing - moving from a tractable distribution to a distribution of interest via a sequence of intermediate distributions - has traditionally been used as an inexact method of handling isolated modes in Markov chain samplers.…

Computational Physics · Physics 2007-05-23 Radford M. Neal

In the field of structural reliability, the Monte-Carlo estimator is considered as the reference probability estimator. However, it is still untractable for real engineering cases since it requires a high number of runs of the model. In…

Methodology · Statistics 2015-03-19 V. Dubourg , F. Deheeger , B. Sudret

Importance sampling (IS) is a widely used simulation method for estimating rare event probabilities. In IS, the relative variance of an estimator is the most common measure of estimator accuracy, and the focus of existing literature is on…

Statistics Theory · Mathematics 2026-01-05 Julie Choi , Peter Glynn

In this letter, we consider an intelligent reflecting surface (IRS) assisted Guassian multiple-input multiple-output (MIMO) wiretap channel in which a multi-antenna transmitter communicates with a multi-antenna receiver in the presence of a…

Information Theory · Computer Science 2020-02-05 Limeng Dong , Hui-Ming Wang

Low-earth-orbit (LEO) satellite communication systems that use millimeter-wave frequencies rely on large antenna arrays with hybrid analog-digital architectures for rapid beam steering. LEO satellites are only visible from the ground for…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Anders Malthe Westerkam , Amélia Struyf , Dimitri Lederer , Troels Pedersen , François Quitin