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Generating accurate runtime safety estimates for autonomous systems is vital to ensuring their continued proliferation. However, exhaustive reasoning about future behaviors is generally too complex to do at runtime. To provide scalable and…

计算机科学中的逻辑 · 计算机科学 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

This paper presents two stochastic model predictive control methods for linear time-invariant systems subject to unbounded additive uncertainties. The new methods are developed by formulating the chance constraints into deterministic form,…

系统与控制 · 电气工程与系统科学 2021-04-22 Fei Li , Huiping Li , Yuyao He

Gaussian process emulators of computationally expensive computer codes provide fast statistical approximations to model physical processes. The training of these surrogates depends on the set of design points chosen to run the simulator.…

统计计算 · 统计学 2016-08-16 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

最优化与控制 · 数学 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

The deployment of autonomous systems that operate in unstructured environments necessitates algorithms to verify their safety. This can be challenging due to, e.g., black-box components in the control software, or undermodelled dynamics…

系统与控制 · 电气工程与系统科学 2020-06-17 John Jackson , Luca Laurenti , Eric Frew , Morteza Lahijanian

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

计算工程、金融与科学 · 计算机科学 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

Gaussian Process (GP) models have also become extremely useful for optimization under uncertainty algorithms, especially where the objective functions are costly to compute. Yet, the more classical methods usually adopt strategies that, in…

最优化与控制 · 数学 2025-07-22 Nishant Gadde

In audio signal processing, probabilistic time-frequency models have many benefits over their non-probabilistic counterparts. They adapt to the incoming signal, quantify uncertainty, and measure correlation between the signal's amplitude…

信号处理 · 电气工程与系统科学 2019-02-13 William J. Wilkinson , Michael Riis Andersen , Joshua D. Reiss , Dan Stowell , Arno Solin

We consider the problem of approximating the reachability probabilities in Markov decision processes (MDP) with uncountable (continuous) state and action spaces. While there are algorithms that, for special classes of such MDP, provide a…

系统与控制 · 电气工程与系统科学 2022-07-13 Kush Grover , Jan Křetínský , Tobias Meggendorfer , Maximilian Weininger

Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

统计力学 · 物理学 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

This paper addresses the classical problem of determining the sets of possible states of a linear discrete-time system subject to bounded disturbances from measurements corrupted by bounded noise. These so-called uncertainty sets evolve…

最优化与控制 · 数学 2014-05-08 Robin Hill , Yousong Luo , Uwe Schwerdtfeger

In the last years there has been a considerable increase in the availability of continuous sensor measurements in a wide range of application domains, such as Location-Based Services (LBS), medical monitoring systems, manufacturing plants…

数据库 · 计算机科学 2015-03-20 Michele Dallachiesa , Besmira Nushi , Katsiaryna Mirylenka , Themis Palpanas

In this paper, we extend the recent body of work on planning under uncertainty to include the fact that sensors may not provide any measurement owing to misdetection. This is caused either by adverse environmental conditions that prevent…

机器人学 · 计算机科学 2013-09-17 Shaunak D. Bopardikar , Brendan J. Englot , Alberto Speranzon

When facing time-variant problems in analog computing, the desirable RNN design requires finite-time convergence and robustness with respect to various types of uncertainties, due to the time-variant nature and difficulties in…

系统与控制 · 电气工程与系统科学 2024-11-26 Mingxuan Sun , Xing Li , Han Wang

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

系统与控制 · 计算机科学 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

This paper aims to provide a methodology for generating autonomous and non-autonomous systems with a fixed-time stable equilibrium point where an Upper Bound of the Settling Time (UBST) is set a priori as a parameter of the system. In…

In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

统计方法学 · 统计学 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

Sparse variational Gaussian process (GP) approximations based on inducing points have become the de facto standard for scaling GPs to large datasets, owing to their theoretical elegance, computational efficiency, and ease of implementation.…

机器学习 · 统计学 2025-02-14 Thang D. Bui , Matthew Ashman , Richard E. Turner

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

Leveraging autonomous systems in safety-critical scenarios requires verifying their behaviors in the presence of uncertainties and black-box components that influence the system dynamics. In this work, we develop a framework for verifying…

系统与控制 · 电气工程与系统科学 2024-07-17 John Skovbekk , Luca Laurenti , Eric Frew , Morteza Lahijanian