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In this article we study the problem of quantifying the uncertainty in an experiment with a technical system. We propose new density estimates which combine observed data of the technical system and simulated data from an (imperfect)…

统计理论 · 数学 2020-12-21 Sebastian Kersting , Michael Kohler

Reliable optimal control is challenging when the dynamics of a nonlinear system are unknown and only infrequent, noisy output measurements are available. This work addresses this setting of limited sensing by formulating a Bayesian prior…

系统与控制 · 电气工程与系统科学 2026-05-21 Robert Lefringhausen , Theodor Springer , Sandra Hirche

Parameters of the mathematical model describing many practical dynamical systems are prone to vary due to aging or renewal, wear and tear, as well as changes in environmental or service conditions. These variabilities will adversely affect…

系统与控制 · 电气工程与系统科学 2022-07-13 Hang Geng , Mulugeta A. Haile , Huazhen Fang

Uncertainty quantification is crucial to assess prediction quality of a machine learning model. In the case of Extreme Learning Machines (ELM), most methods proposed in the literature make strong assumptions on the data, ignore the…

机器学习 · 统计学 2020-11-04 Fabian Guignard , Federico Amato , Mikhail Kanevski

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

最优化与控制 · 数学 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

This work is dedicated to the study of how uncertainty estimation of the human motion prediction can be embedded into constrained optimization techniques, such as Model Predictive Control (MPC) for the social robot navigation. We propose…

机器人学 · 计算机科学 2023-07-19 Timur Akhtyamov , Aleksandr Kashirin , Aleksey Postnikov , Gonzalo Ferrer

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

系统与控制 · 电气工程与系统科学 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Observability and controllability are essential concepts to the design of predictive observer models and feedback controllers of networked systems. For example, noncontrollable mathematical models of real systems have subspaces that…

神经元与认知 · 定量生物学 2018-04-18 Andrew J. Whalen , Sean N. Brennan , Timothy D. Sauer , Steven J. Schiff

Deep neural networks have shown exceptional performance in various tasks, but their lack of robustness, reliability, and tendency to be overconfident pose challenges for their deployment in safety-critical applications like autonomous…

计算机视觉与模式识别 · 计算机科学 2023-07-20 Steven Landgraf , Markus Hillemann , Kira Wursthorn , Markus Ulrich

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear control systems on semisimple Lie groups may have more than…

最优化与控制 · 数学 2018-12-13 Victor Ayala , Adriano Da Silva , Philippe Jouan , Guilherme Zsigmond

To verify the correct operation of systems, engineers need to determine the set of configurations of a dynamical model that are able to safely reach a specified configuration under a control law. Unfortunately, constructing models for…

最优化与控制 · 数学 2016-01-07 Shankar Mohan , Victor Shia , Ram Vasudevan

Capturing uncertainty in models of complex dynamical systems is crucial to designing safe controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of model parameters leads to epistemic uncertainty. Several…

系统与控制 · 电气工程与系统科学 2022-12-08 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

Robust learning is an important issue in Scientific Machine Learning (SciML). There are several works in the literature addressing this topic. However, there is an increasing demand for methods that can simultaneously consider all the…

In this paper we propose a novel methodology that allows to design, in a purely data-based fashion and for linear single-input and single-output systems, both robustly stable and performing control systems for tracking piecewise constant…

系统与控制 · 电气工程与系统科学 2023-01-18 William D'Amico , Marcello Farina

Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

机器学习 · 计算机科学 2024-05-09 Andrew Thompson

This paper introduces a novel uncertainty quantification framework for regression models where the response takes values in a separable metric space, and the predictors are in a Euclidean space. The proposed algorithms can efficiently…

统计理论 · 数学 2024-05-09 Gábor Lugosi , Marcos Matabuena

Autonomous surgical robots are a promising solution to the increasing demand for surgery amid a shortage of surgeons. Recent work has proposed learning-based approaches for the autonomous manipulation of soft tissue. However, due to…

机器人学 · 计算机科学 2025-08-27 Jordan Thompson , Ronald Koe , Anthony Le , Gabriella Goodman , Daniel S. Brown , Alan Kuntz

Regularized kernel methods such as, e.g., support vector machines and least-squares support vector regression constitute an important class of standard learning algorithms in machine learning. Theoretical investigations concerning…

机器学习 · 统计学 2012-03-21 Robert Hable

Simulations using machine learning (ML) models and mechanistic models are often run to inform decision-making processes. Uncertainty estimates of simulation results are critical to the decision-making process because simulation results of…

机器学习 · 计算机科学 2023-08-08 Babajide Kolade