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Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

Optimization and Control · Mathematics 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

Monte Carlo simulation is an unbiased numerical tool for studying classical and quantum many-body systems. One of its bottlenecks is the lack of general and efficient update algorithm for large size systems close to phase transition or with…

Strongly Correlated Electrons · Physics 2017-01-11 Junwei Liu , Yang Qi , Zi Yang Meng , Liang Fu

Many natural systems exhibit cyclo-stationary behavior characterized by periodic forcing such as annual and diurnal cycles. We present a data-driven method leveraging recent advances in score-based generative modeling to construct…

Chaotic Dynamics · Physics 2025-09-03 Ludovico Theo Giorgini , Tobias Bischoff , Andre Noguiera Souza

We introduce a framework that enables efficient sampling from learned probability distributions for MRI reconstruction. Different from conventional deep learning-based MRI reconstruction techniques, samples are drawn from the posterior…

Machine Learning · Computer Science 2023-07-21 Guanxiong Luo , Moritz Blumenthal , Martin Heide , Martin Uecker

This paper presents a tool for addressing a key component in many algorithms for planning robot trajectories under uncertainty: evaluation of the safety of a robot whose actions are governed by a closed-loop feedback policy near a nominal…

Robotics · Computer Science 2017-06-05 Edward Schmerling , Marco Pavone

This paper proposes a practical implementation of sliding mode control (SMC) that utilizes partial modeling compensation. Sliding mode control is well known for its effectiveness as a model free control approach, however, its effectiveness…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Gangfeng Yan , Khalid Abidi

Stable gait generation is a crucial problem for legged robot locomotion as this impacts other critical performance factors such as, e.g. mobility over an uneven terrain and power consumption. Gait generation stability results from the…

Robotics · Computer Science 2023-07-18 Vyacheslav Kovalev , Anna Shkromada , Henni Ouerdane , Pavel Osinenko

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

Grand canonical Monte Carlo (GCMC) simulations are essential for screening metal-organic frameworks (MOFs) for gas adsorption, yet their accuracy is limited by underlying interatomic potentials. Universal machine-learned interatomic…

Materials Science · Physics 2026-02-17 Connor W. Edwards , Fengxu Yang , Konstantin Stracke , Jack D. Evans

We resolve difficulties in training and sampling from a discrete generative model by learning a smoothed energy function, sampling from the smoothed data manifold with Langevin Markov chain Monte Carlo (MCMC), and projecting back to the…

The low-variance direct simulation Monte Carlo (LVDSMC) is a powerful method to simulate low-speed rarefied gas flows. However, in the near-continuum flow regime, due to limitations on the time step and spatial cell size, it takes plenty of…

Fluid Dynamics · Physics 2022-10-18 Liyan Luo , Qi Li , Lei Wu

We propose an approach to simulating trajectories of multiple interacting agents (road users) based on transformers and probabilistic graphical models (PGMs), and apply it to the Waymo SimAgents challenge. The transformer baseline is based…

Machine Learning · Computer Science 2024-07-01 Xinghua Lou , Meet Dave , Shrinu Kushagra , Miguel Lazaro-Gredilla , Kevin Murphy

We generalize a simple Monte Carlo (MC) model for dilute gases to consider the transport behavior of positrons and electrons in Percus-Yevick model liquids under highly non-equilibrium conditions, accounting rigorously for coherent…

Computational Physics · Physics 2015-04-22 W. J. Tattersall , D. G. Cocks , G. J. Boyle , R. D. White

Permanent Magnet Synchronous Motors (PMSMs) are widely employed in high-performance drive systems owing to their high efficiency and power density. However, nonlinear dynamics, parameter uncertainties, and load disturbances complicate their…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Mubarak Badamasi Aremu , Abdullah Ajasa , Ali Nasir

We present a novel Exchange Monte Carlo (EMC) method designed for application in continuous-space Path Integral Monte Carlo (PIMC) simulations at finite temperature. Traditional PIMC methods for bosonic systems suffer from long…

Statistical Mechanics · Physics 2026-05-26 Xun Zhao , Synge Todo

Car-following behavior is fundamental to traffic flow theory, yet traditional models often fail to capture the stochasticity of naturalistic driving. This paper introduces a new car-following modeling category called the empirical…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Sungyong Chung , Yanlin Zhang , Nachuan Li , Dana Monzer , Alireza Talebpour

Recent work has suggested using Monte Carlo methods based on piecewise deterministic Markov processes (PDMPs) to sample from target distributions of interest. PDMPs are non-reversible continuous-time processes endowed with momentum, and…

Machine Learning · Statistics 2024-06-28 Paul Fearnhead , Sebastiano Grazzi , Chris Nemeth , Gareth O. Roberts

Path integral Monte Carlo (PIMC) simulations have become an important tool for the investigation of the statistical mechanics of quantum systems. I discuss some of the history of applying the Monte Carlo method to non-relativistic quantum…

History and Philosophy of Physics · Physics 2016-11-23 Tilman Sauer

Over the last few years, sampling-based stochastic optimal control (SOC) frameworks have shown impressive performances in reinforcement learning (RL) with applications in robotics. However, such approaches require a large amount of samples…

Systems and Control · Computer Science 2014-12-10 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

We propose a Stochastic MPC (SMPC) formulation for autonomous driving at traffic intersections which incorporates multi-modal predictions of surrounding vehicles for collision avoidance constraints. The multi-modal predictions are obtained…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Chris Meissen , H. Eric Tseng , Francesco Borrelli