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We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

Spatial dynamic microsimulations probabilistically project geographically referenced units with individual characteristics over time. Like any projection method, their outcomes are inherently uncertain and sensitive to multiple factors.…

Computation · Statistics 2025-11-19 Morgane Dumont , Ahmed Alsaloum , Julian Ernst , Jan Weymeirsch , Ralf Münnich

Autonomous systems with machine learning-based perception can exhibit unpredictable behaviors that are difficult to quantify, let alone verify. Such behaviors are convenient to capture in probabilistic models, but probabilistic model…

Logic in Computer Science · Computer Science 2022-03-17 Matthew Cleaveland , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

The partitioning of small molecules in cell membranes---a key parameter for pharmaceutical applications---typically relies on experimentally-available bulk partitioning coefficients. Computer simulations provide a structural resolution of…

Soft Condensed Matter · Physics 2017-12-04 Roberto Menichetti , Kiran H. Kanekal , Kurt Kremer , Tristan Bereau

This paper investigates the problem of designing data-driven stochastic Model Predictive Control (MPC) for linear time-invariant systems under additive stochastic disturbance, whose probability distribution is unknown but can be partially…

Optimization and Control · Mathematics 2020-12-29 Chao Ning , Fengqi You

Sequential Monte Carlo (SMC) algorithms represent a suite of robust computational methodologies utilized for state estimation and parameter inference within dynamical systems, particularly in real-time or online environments where data…

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

We introduce a methodology for online estimation of smoothing expectations for a class of additive functionals, in the context of a rich family of diffusion processes (that may include jumps) -- observed at discrete-time instances. We…

Computation · Statistics 2022-07-04 Shouto Yonekura , Alexandros Beskos

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

Computation · Statistics 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

Machine Learning · Computer Science 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

Control of non-condensing non-ideal-gas power cycles is challenging because their output power dynamics depend on complex system interactions, non-ideal-gas effects complicate turbomachinery behavior, and state constraints must be…

Systems and Control · Electrical Eng. & Systems 2021-08-30 Viv Bone , Michael Kearney , Ingo Jahn

Simulink is widely used in industrial design processes to model increasingly complex embedded control systems. Thus, their formal analysis is highly desirable. However, this comes with two major challenges: First, Simulink models often…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Pauline Blohm , Felix Schulz , Lisa Willemsen , Anne Remke , Paula Herber

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Systems for transport and processing of granular media are challenging to analyse, operate and optimise. In the mining and mineral processing industries these systems are chains of processes with complex interplay between the equipment,…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Martin Servin , Folke Vesterlund , Erik Wallin

Parametric verification of linear temporal properties for stochastic models can be expressed as computing the satisfaction probability of a certain property as a function of the parameters of the model. Smoothed model checking (smMC) aims…

Machine Learning · Computer Science 2023-04-07 Luca Bortolussi , Francesca Cairoli , Ginevra Carbone , Paolo Pulcini

In this paper, a methodical approach to evaluate the potential of quantum computing for manufacturing simulation, using the example of multi-axis milling of thin-walled aerospace components, is discussed. A developed approach for…

Designing controllers for systems affected by model uncertainty can prove to be a challenge, especially when seeking the optimal compromise between the conflicting goals of identification and control. This trade-off is explicitly taken into…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Elena Arcari , Lukas Hewing , Max Schlichting , Melanie N. Zeilinger

Digital Twin -- a virtual replica of a physical system enabling real-time monitoring, model updating, prediction, and decision-making -- combined with recent advances in machine learning, offers new opportunities for proactive control…

Machine Learning · Computer Science 2025-04-14 Yi-Ping Chen , Vispi Karkaria , Ying-Kuan Tsai , Faith Rolark , Daniel Quispe , Robert X. Gao , Jian Cao , Wei Chen

A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise. Closed-loop stability of the SMPC approach is…

Systems and Control · Computer Science 2015-03-17 Joel A. Paulson , Stefan Streif , Ali Mesbah