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Model counting of Disjunctive Normal Form (DNF) formulas is a critical problem in applications such as probabilistic inference and network reliability. For example, it is often used for query evaluation in probabilistic databases. Due to…

Data Structures and Algorithms · Computer Science 2026-01-16 Paul Burkhardt , David G. Harris , Kevin T Schmitt

A large hadron machine like the LHC with its high track multiplicities always asks for powerful tools that drastically reduce the large background while selecting signal events efficiently. Actually such tools are widely needed and used in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Markward Britsch , Nikolai Gagunashvili , Michael Schmelling

Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

Computational Physics · Physics 2026-02-16 Michael Kim , Wei Cai

The recently-introduced self-learning Monte Carlo method is a general-purpose numerical method that speeds up Monte Carlo simulations by training an effective model to propose uncorrelated configurations in the Markov chain. We implement…

Strongly Correlated Electrons · Physics 2017-10-11 Yuki Nagai , Huitao Shen , Yang Qi , Junwei Liu , Liang Fu

This paper examines the use of Monte Carlo simulations to understand statistical concepts in A/B testing and Randomized Controlled Trials (RCTs). We discuss the applicability of simulations in understanding false positive rates and estimate…

Applications · Statistics 2024-11-12 Márton Trencséni

Taking into account future risk is essential for an autonomously operating robot to find online not only the best but also a safe action to execute. In this paper, we build upon the recently introduced formulation of probabilistic…

Artificial Intelligence · Computer Science 2024-11-12 Andrey Zhitnikov , Vadim Indelman

A procedure for unfolding the true distribution from experimental data is presented. Machine learning methods are applied for simultaneous identification of an apparatus function and solving of an inverse problem. A priori information about…

Data Analysis, Statistics and Probability · Physics 2011-05-26 Nikolai Gagunashvili

Accurate force fields are necessary for predictive molecular simulations. However, developing force fields that accurately reproduce experimental properties is challenging. Here, we present a machine learning directed, multiobjective…

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

Statistical Mechanics · Physics 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

Computation · Statistics 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

Reinforcement Learning (RL) controllers have generated excitement within the control community. The primary advantage of RL controllers relative to existing methods is their ability to optimize uncertain systems independently of explicit…

Machine Learning · Computer Science 2021-12-07 Max Mowbray , Panagiotis Petsagkourakis , Ehecatl Antonio del Río Chanona , Dongda Zhang

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

Machine Learning · Statistics 2024-05-21 Sohail Reddy , Hillary Fairbanks

Hamiltonian Monte Carlo (HMC) is a powerful and accurate method to sample from the posterior distribution in Bayesian inference. However, HMC techniques are computationally demanding for Bayesian neural networks due to the high…

Machine Learning · Statistics 2025-09-11 Ponkrshnan Thiagarajan , Tamer A. Zaki , Michael D. Shields

In recent years deep neural networks have been successfully applied to the domains of reinforcement learning \cite{bengio2009learning,krizhevsky2012imagenet,hinton2006reducing}. Deep reinforcement learning \cite{mnih2015human} is reported…

Machine Learning · Computer Science 2020-05-19 Huihui Zhang , Wu Huang

Many inverse problems in nuclear fusion and high-energy astrophysics research, such as the optimization of tokamak reactor geometries or the inference of black hole parameters from interferometric images, necessitate high-dimensional…

Machine Learning · Computer Science 2025-05-09 Jonathan Gorard , Ammar Hakim , Hong Qin , Kyle Parfrey , Shantenu Jha

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

Machine Learning · Statistics 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

Probabilistic (or Bayesian) modeling and learning offers interesting possibilities for systematic representation of uncertainty using probability theory. However, probabilistic learning often leads to computationally challenging problems.…

Computation · Statistics 2018-03-14 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

In the past two decades, machine learning potentials (MLP) have reached a level of maturity that now enables applications to large-scale atomistic simulations of a wide range of systems in chemistry, physics and materials science. Different…

Chemical Physics · Physics 2021-07-09 Emir Kocer , Tsz Wai Ko , Jörg Behler

Machine learning promises to deliver powerful new approaches to neutron scattering from magnetic materials. Large scale simulations provide the means to realise this with approaches including spin-wave, Landau Lifshitz, and Monte Carlo…

Computational Physics · Physics 2020-11-12 Anjana M. Samarakoon , D. Alan Tennant
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