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This paper proposes a statistical verification framework using Gaussian processes (GPs) for simulation-based verification of stochastic nonlinear systems with parametric uncertainties. Given a small number of stochastic simulations, the…

系统与控制 · 计算机科学 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

Multi-output regression problems are commonly encountered in science and engineering. In particular, multi-output Gaussian processes have been emerged as a promising tool for modeling these complex systems since they can exploit the…

机器学习 · 计算机科学 2022-03-29 Cen-You Li , Barbara Rakitsch , Christoph Zimmer

Nonlinear model predictive control (NMPC) is an efficient approach for the control of nonlinear multivariable dynamic systems with constraints, which however requires an accurate plant model. Plant models can often be determined from first…

系统与控制 · 电气工程与系统科学 2021-08-17 E. Bradford , L. Imsland , M. Reble , E. A. del Rio-Chanona

A popular strategy for active learning is to specifically target a reduction in epistemic uncertainty, since aleatoric uncertainty is often considered as being intrinsic to the system of interest and therefore not reducible. Yet,…

统计方法学 · 统计学 2024-12-12 Jake Thomas , Jeremie Houssineau

Kernel-based machine learning approaches are gaining increasing interest for exploring and modeling large dataset in recent years. Gaussian process (GP) is one example of such kernel-based approaches, which can provide very good performance…

机器学习 · 计算机科学 2019-07-09 Yuxin Zhao , Feng Yin , Fredrik Gunnarsson , Fredrik Hultkrantz

Applying model predictive control on embedded systems remains challenging due to the high computational cost of solving optimal control problems. To address this limitation, computationally efficient Gaussian process approximations of the…

系统与控制 · 电气工程与系统科学 2026-05-14 Alexander Rose , Lukas Theiner , Rolf Findeisen

Credible forecasting and representation learning of dynamical systems are of ever-increasing importance for reliable decision-making. To that end, we propose a family of Gaussian processes (GP) for dynamical systems with linear…

机器学习 · 计算机科学 2025-02-11 Petar Bevanda , Max Beier , Armin Lederer , Alexandre Capone , Stefan Sosnowski , Sandra Hirche

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

机器人学 · 计算机科学 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate…

系统与控制 · 电气工程与系统科学 2020-06-09 Kim P. Wabersich , Melanie N. Zeilinger

In this paper, we consider the problem of using a robot to explore an environment with an unknown, state-dependent disturbance function while avoiding some forbidden areas. The goal of the robot is to safely collect observations of the…

机器人学 · 计算机科学 2021-05-17 Dawei Sun , Mohammad Javad Khojasteh , Shubhanshu Shekhar , Chuchu Fan

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

机器学习 · 统计学 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Efficient exploration remains a challenging problem in reinforcement learning, especially for those tasks where rewards from environments are sparse. A commonly used approach for exploring such environments is to introduce some "intrinsic"…

机器学习 · 计算机科学 2020-07-16 Neale Ratzlaff , Qinxun Bai , Li Fuxin , Wei Xu

When the dynamics of systems are unknown, supervised machine learning techniques are commonly employed to infer models from data. Gaussian process (GP) regression is a particularly popular learning method for this purpose due to the…

系统与控制 · 电气工程与系统科学 2023-05-16 Xiaobing Dai , Armin Lederer , Zewen Yang , Sandra Hirche

The Gaussian process (GP) model, which has been extensively applied as priors of functions, has demonstrated excellent performance. The specification of a large number of parameters affects the computational efficiency and the feasibility…

机器学习 · 统计学 2020-02-13 Shisheng Cui , Chia-Jung Chang

Accurately modeling robot dynamics is crucial to safe and efficient motion control. In this paper, we develop and apply an iterative learning semi-parametric model, with a neural network, to the task of autonomous racing with a Model…

机器人学 · 计算机科学 2020-11-18 Ignat Georgiev , Christoforos Chatzikomis , Timo Völkl , Joshua Smith , Michael Mistry

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

机器人学 · 计算机科学 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

机器学习 · 统计学 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

Most of the existing robotic exploration schemes use occupancy grid representations and geometric targets known as frontiers. The occupancy grid representation relies on the assumption of independence between grid cells and ignores…

机器人学 · 计算机科学 2019-05-22 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

Despite the availability of ever more data enabled through modern sensor and computer technology, it still remains an open problem to learn dynamical systems in a sample-efficient way. We propose active learning strategies that leverage…

机器学习 · 计算机科学 2020-12-08 Mona Buisson-Fenet , Friedrich Solowjow , Sebastian Trimpe

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

机器人学 · 计算机科学 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno