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Sequential Monte Carlo (SMC) samplers are powerful tools for Bayesian inference but suffer from high computational costs due to their reliance on large particle ensembles for accurate estimates. We introduce persistent sampling (PS), an…

Machine Learning · Statistics 2025-06-24 Minas Karamanis , Uroš Seljak

This paper proposes a novel framework for addressing the challenge of autonomous overtaking and obstacle avoidance, which incorporates the overtaking path planning into Gaussian Process-based model predictive control (GPMPC). Compared with…

Robotics · Computer Science 2021-01-26 Wenjun Liu , Chang Liu , Guang Chen , Peng Hang , Alois Knoll

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Reliable autonomous driving relies on large-scale, well-labeled data and robust models. However, manual data collection is resource-intensive, and traditional simulation suffers from a persistent reality gap. While recent generative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Kaicong Huang , Talha Azfar , Weisong Shi , Ruimin Ke

In this paper, we present an iterative Model Predictive Control (MPC) design for piecewise nonlinear systems. We consider finite time control tasks where the goal of the controller is to steer the system from a starting configuration to a…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Ugo Rosolia , Aaron D. Ames

Molecular Dynamics (MD) is a powerful computational microscope for probing protein functions. However, the need for fine-grained integration and the long timescales of biomolecular events make MD computationally expensive. To address this,…

Machine Learning · Computer Science 2026-03-30 Kacper Kapuśniak , Cristian Gabellini , Michael Bronstein , Prudencio Tossou , Francesco Di Giovanni

Reliably simulating two-dimensional many-body quantum dynamics with projected entangled pair states (PEPS) has long been a difficult challenge. In this work, we overcome this barrier for low-energy quantum dynamics by developing a stable…

Strongly Correlated Electrons · Physics 2026-01-29 Yantao Wu , Jannes Nys

The Direct Simulation Monte Carlo (DSMC) method is widely employed for simulating rarefied nonequilibrium gas flows. With advances in aerospace engineering and micro/nano-scale technologies, gas flows exhibit the coexistence of rarefied and…

Computational Physics · Physics 2025-07-01 Hao Jin , Sha Liu , Sirui Yang , Junzhe Cao , Congshan Zhuo , Chengwen Zhong

Bimanual mobile manipulation requires a seamless integration between high-level semantic reasoning and safe, compliant physical interaction - a challenge that end-to-end models approach opaquely and classical controllers lack the context to…

In vehicle trajectory tracking tasks, the simplest approach is the Pure Pursuit (PP) Control. However, this single-point preview tracking strategy fails to consider vehicle model constraints, compromising driving safety. Model Predictive…

Robotics · Computer Science 2025-08-06 Yonghao Fu , Cheng Hu , Haokun Xiong , Zhanpeng Bao , Wenyuan Du , Edoardo Ghignone , Michele Magno , Lei Xie , Hongye Su

This paper presents a systematic method for the selection of the Model Predictive Control (MPC) stage cost. We match the MPC feedback law to a proportional-integral (PI) controller, which we efficiently tune by high-performance Monte Carlo…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Morten Ryberg Wahlgreen , John Bagterp Jørgensen , Mario Zanon

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

Machine Learning · Statistics 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

Strongly Correlated Electrons · Physics 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

The "backward simulation" of a stochastic process is defined as the stochastic dynamics that trace a time-reversed path from the target region to the initial configuration. If the probabilities calculated by the original simulation are…

Data Analysis, Statistics and Probability · Physics 2019-01-29 Shinichi Takayanagi , Yukito Iba

A general synthetic iterative scheme is proposed to solve the Enskog equation within a Monte Carlo framework. The method demonstrates rapid convergence by reducing intermediate Monte Carlo evolution and preserves the asymptotic-preserving…

Fluid Dynamics · Physics 2025-09-26 Bin Hu , Liyan Luo , Lei Wu

A valuable step in the modeling of multiscale dynamical systems in fields such as computational chemistry, biology, materials science and more, is the representative sampling of the phase space over long timescales of interest; this task is…

Machine Learning · Computer Science 2023-12-29 Ellis R. Crabtree , Juan M. Bello-Rivas , Ioannis G. Kevrekidis

We develop an approach for Bayesian learning of spatiotemporal dynamical mechanistic models. Such learning consists of statistical emulation of the mechanistic system that can efficiently interpolate the output of the system from arbitrary…

Methodology · Statistics 2025-07-11 Sudipto Banerjee , Xiang Chen , Ian Frankenburg , Daniel Zhou

The performance of model predictive controllers (MPC) strongly depends on the model quality. In the field of electric drive control, white-box (WB) modeling approaches derived from first-order physical principles are most common. This…

Systems and Control · Electrical Eng. & Systems 2019-11-28 Anian Brosch , Sören Hanke , Oliver Wallscheid , Joachim Böcker

Partial Bayesian neural networks (pBNNs) have been shown to perform competitively with fully Bayesian neural networks while only having a subset of the parameters be stochastic. Using sequential Monte Carlo (SMC) samplers as the inference…

Machine Learning · Computer Science 2026-01-30 Andrew Millard , Joshua Murphy , Simon Maskell , Zheng Zhao

Existing video generation models excel at producing photo-realistic videos from text or images, but often lack physical plausibility and 3D controllability. To overcome these limitations, we introduce PhysCtrl, a novel framework for…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Chen Wang , Chuhao Chen , Yiming Huang , Zhiyang Dou , Yuan Liu , Jiatao Gu , Lingjie Liu