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We describe a Monte Carlo method to approximate the maximum likelihood estimate (MLE), when there are missing data and the observed data likelihood is not available in closed form. This method uses simulated missing data that are…

Statistics Theory · Mathematics 2007-08-22 Yun Ju Sung , Charles J. Geyer

We present a general sample reweighting scheme and its underlying theory for the integration of an unknown function with low dimensionality. Our method produces better results than standard weighting schemes for common sampling strategies,…

Graphics · Computer Science 2019-08-07 Jerry Jinfeng Guo , Elmar Eisemann

Bias originates from both data and algorithmic design, often exacerbated by traditional fairness methods that fail to address the subtle impacts of protected attributes. This study introduces an approach to mitigate bias in machine learning…

Machine Learning · Computer Science 2024-10-08 Khadija Zanna , Akane Sano

This paper describes the use of weighted Monte Carlo events to accurately approximate integrals of functions of the experimentally measured kinematical vectors and their dependence on physical parameters. This technique is demonstrated in…

High Energy Physics - Experiment · Physics 2015-06-25 G. K. Fanourakis , D. Fassouliotis , S. E. Tzamarias

Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen

We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fields. Our goal is to construct provably-efficient importance…

Probability · Mathematics 2015-09-29 Konstantinos Spiliopoulos

The montecarlo method, which is quite commonly used to solve maximum entropy problems in statistical physics, can actually be used to solve inverse problems in a much wider context. The probability distribution which maximizes entropy can…

Statistical Mechanics · Physics 2007-05-23 Jan Naudts

We provide an overview of the status of Monte-Carlo event generators for high-energy particle physics. Guided by the experimental needs and requirements, we highlight areas of active development, and opportunities for future improvements.…

High Energy Physics - Phenomenology · Physics 2025-02-28 J. M. Campbell , M. Diefenthaler , T. J. Hobbs , S. Höche , J. Isaacson , F. Kling , S. Mrenna , J. Reuter , S. Alioli , J. R. Andersen , C. Andreopoulos , A. M. Ankowski , E. C. Aschenauer , A. Ashkenazi , M. D. Baker , J. L. Barrow , M. van Beekveld , G. Bewick , S. Bhattacharya , N. Bhuiyan , C. Bierlich , E. Bothmann , P. Bredt , A. Broggio , A. Buckley , A. Butter , J. M. Butterworth , E. P. Byrne , C. M. Carloni Calame , S. Chakraborty , X. Chen , M. Chiesa , J. T. Childers , J. Cruz-Martinez , J. Currie , N. Darvishi , M. Dasgupta , A. Denner , F. A. Dreyer , S. Dytman , B. K. El-Menoufi , T. Engel , S. Ferrario Ravasio , D. Figueroa , L. Flower , J. R. Forshaw , R. Frederix , A. Friedland , S. Frixione , H. Gallagher , K. Gallmeister , S. Gardiner , R. Gauld , J. Gaunt , A. Gavardi , T. Gehrmann , A. Gehrmann-De Ridder , L. Gellersen , W. Giele , S. Gieseke , F. Giuli , E. W. N. Glover , M. Grazzini , A. Grohsjean , C. Gütschow , K. Hamilton , T. Han , R. Hatcher , G. Heinrich , I. Helenius , O. Hen , V. Hirschi , M. Höfer , J. Holguin , A. Huss , P. Ilten , S. Jadach , A. Jentsch , S. P. Jones , W. Ju , S. Kallweit , A. Karlberg , T. Katori , M. Kerner , W. Kilian , M. M. Kirchgaeßer , S. Klein , M. Knobbe , C. Krause , F. Krauss , J. Lang , J. -N. Lang , G. Lee , S. W. Li , M. A. Lim , J. M. Lindert , D. Lombardi , L. Lönnblad , M. Löschner , N. Lurkin , Y. Ma , P. Machado , V. Magerya , A. Maier , I. Majer , F. Maltoni , M. Marcoli , G. Marinelli , M. R. Masouminia , P. Mastrolia , O. Mattelaer , J. Mazzitelli , J. McFayden , R. Medves , P. Meinzinger , J. Mo , P. F. Monni , G. Montagna , T. Morgan , U. Mosel , B. Nachman , P. Nadolsky , R. Nagar , Z. Nagy , D. Napoletano , P. Nason , T. Neumann , L. J. Nevay , O. Nicrosini , J. Niehues , K. Niewczas , T. Ohl , G. Ossola , V. Pandey , A. Papadopoulou , A. Papaefstathiou , G. Paz , M. Pellen , G. Pelliccioli , T. Peraro , F. Piccinini , L. Pickering , J. Pires , W. Płaczek , S. Plätzer , T. Plehn , S. Pozzorini , S. Prestel , C. T. Preuss , A. C. Price , S. Quackenbush , E. Re , D. Reichelt , L. Reina , C. Reuschle , P. Richardson , M. Rocco , N. Rocco , M. Roda , A. Rodriguez Garcia , S. Roiser , J. Rojo , L. Rottoli , G. P. Salam , M. Schönherr , S. Schuchmann , S. Schumann , R. Schürmann , L. Scyboz , M. H. Seymour , F. Siegert , A. Signer , G. Singh Chahal , A. Siódmok , T. Sjöstrand , P. Skands , J. M. Smillie , J. T. Sobczyk , D. Soldin , D. E. Soper , A. Soto-Ontoso , G. Soyez , G. Stagnitto , J. Tena-Vidal , O. Tomalak , F. Tramontano , S. Trojanowski , Z. Tu , S. Uccirati , T. Ullrich , Y. Ulrich , M. Utheim , A. Valassi , A. Verbytskyi , R. Verheyen , M. Wagman , D. Walker , B. R. Webber , L. Weinstein , O. White , J. Whitehead , M. Wiesemann , C. Wilkinson , C. Williams , R. Winterhalder , C. Wret , K. Xie , T-Z. Yang , E. Yazgan , G. Zanderighi , S. Zanoli , K. Zapp

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

Robotics · Computer Science 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos

Many practical problems involve estimating low dimensional statistical quantities with high-dimensional models and datasets. Several approaches address these estimation tasks based on the theory of influence functions, such as…

Computation · Statistics 2024-03-11 Raj Agrawal , Sam Witty , Andy Zane , Eli Bingham

We consider two recent suggestions for how to perform an empirically motivated Monte Carlo study to help select a treatment effect estimator under unconfoundedness. We show theoretically that neither is likely to be informative except under…

Econometrics · Economics 2019-04-18 Arun Advani , Toru Kitagawa , Tymon Słoczyński

Data analyses in hadron collider physics depend on background simulations performed by Monte Carlo (MC) event generators. However, calculational limitations and non-perturbative effects require approximate models with adjustable parameters.…

High Energy Physics - Phenomenology · Physics 2011-04-20 Andy Buckley , Hendrik Hoeth , Heiko Lacker , Holger Schulz , Jan Eike von Seggern

Accurate estimates of long-term risk probabilities and their gradients are critical for many stochastic safe control methods. However, computing such risk probabilities in real-time and in unseen or changing environments is challenging.…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Zhuoyuan Wang , Yorie Nakahira

We introduce a variant of the Hybrid Monte Carlo (HMC) algorithm to address large-deviation statistics in stochastic hydrodynamics. Based on the path-integral approach to stochastic (partial) differential equations, our HMC algorithm…

Computational Physics · Physics 2019-10-29 G. Margazoglou , L. Biferale , R. Grauer , K. Jansen , D. Mesterházy , T. Rosenow , R. Tripiccione

Probabilistic prediction of sequences from images and other high-dimensional data is a key challenge, particularly in risk-sensitive applications. In these settings, it is often desirable to quantify the uncertainty associated with the…

Machine Learning · Computer Science 2024-10-31 Qidong Yang , Weicheng Zhu , Joseph Keslin , Laure Zanna , Tim G. J. Rudner , Carlos Fernandez-Granda

Metamodels, or the regression analysis of Monte Carlo simulation results, provide a powerful tool to summarize simulation findings. However, an underutilized approach is the multilevel metamodel (MLMM) that accounts for the dependent data…

Methodology · Statistics 2025-11-21 Joshua Gilbert , Luke Miratrix

We propose using neural networks to detect data departures from a given reference model, with no prior bias on the nature of the new physics responsible for the discrepancy. The virtues of neural networks as unbiased function approximants…

High Energy Physics - Phenomenology · Physics 2019-01-16 Raffaele Tito D'Agnolo , Andrea Wulzer

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

Engineering risk is concerned with the likelihood of failure and the scenarios when it occurs. The sensitivity of failure probability to change in system parameters is relevant to risk-informed decision making. Computing sensitivity is at…

Methodology · Statistics 2025-12-19 Siu-Kui Au , Zi-Jun Cao
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