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Off-the-shelf Gaussian Process (GP) covariance functions encode smoothness assumptions on the structure of the function to be modeled. To model complex and non-differentiable functions, these smoothness assumptions are often too…

机器学习 · 统计学 2016-04-12 Roberto Calandra , Jan Peters , Carl Edward Rasmussen , Marc Peter Deisenroth

In this work, we present a learning-based nonlinear $H^\infty$ control algorithm that guarantee system performance under learned dynamics and disturbance estimate. The Gaussian Process (GP) regression is utilized to update the nominal…

系统与控制 · 电气工程与系统科学 2021-07-12 Wei Sun , Theodore B. Trafalis

Safety is a critical issue in learning-based robotic and autonomous systems as learned information about their environments is often unreliable and inaccurate. In this paper, we propose a risk-aware motion control tool that is robust…

机器人学 · 计算机科学 2020-03-06 Astghik Hakobyan , Insoon Yang

Trajectory optimization of a controlled dynamical system is an essential part of autonomy, however many trajectory optimization techniques are limited by the fidelity of the underlying parametric model. In the field of robotics, a lack of…

系统与控制 · 计算机科学 2017-02-17 Manan Gandhi , Yunpeng Pan , Evangelos Theodorou

In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

机器学习 · 统计学 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

机器人学 · 计算机科学 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

Deep Gaussian processes have recently been proposed as natural objects to fit, similarly to deep neural networks, possibly complex features present in modern data samples, such as compositional structures. Adopting a Bayesian nonparametric…

统计理论 · 数学 2025-02-04 Ismaël Castillo , Thibault Randrianarisoa

Concept drift and extreme verification latency pose significant challenges in data stream learning, particularly when dealing with recurring concept changes in dynamic environments. This work introduces a novel method based on the Growing…

机器学习 · 计算机科学 2025-04-11 Maria Arostegi , Miren Nekane Bilbao , Jesus L. Lobo , Javier Del Ser

Gaussian processes (GPs) are a well-known nonparametric Bayesian inference technique, but they suffer from scalability problems for large sample sizes, and their performance can degrade for non-stationary or spatially heterogeneous data. In…

机器学习 · 统计学 2021-07-28 Michael E. Kepler , Alec Koppel , Amrit Singh Bedi , Daniel J. Stilwell

Gaussian Processes (GPs) have been widely used in machine learning to model distributions over functions, with applications including multi-modal regression, time-series prediction, and few-shot learning. GPs are particularly useful in the…

Standard GPs offer a flexible modelling tool for well-behaved processes. However, deviations from Gaussianity are expected to appear in real world datasets, with structural outliers and shocks routinely observed. In these cases GPs can fail…

机器学习 · 统计学 2022-09-08 Yaman Kındap , Simon Godsill

We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

系统与控制 · 电气工程与系统科学 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

Gaussian processes (GPs) are non-linear probabilistic models popular in many applications. However, na\"ive GP realizations require quadratic memory to store the covariance matrix and cubic computation to perform inference or evaluate the…

统计计算 · 统计学 2021-05-03 Amanda Muyskens , Benjamin Priest , Imène Goumiri , Michael Schneider

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

机器人学 · 计算机科学 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

Forecasting future events is a fundamental challenge for temporal knowledge graphs (tKG). As in real life predicting a mean function is most of the time not sufficient, but the question remains how confident can we be about our prediction?…

机器学习 · 计算机科学 2023-01-13 Soeren Nolting , Zhen Han , Volker Tresp

Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

系统与控制 · 计算机科学 2019-10-03 Truong X. Nghiem

Model predictive control allows to provide high performance and safety guarantees in the form of constraint satisfaction. These properties, however, can be satisfied only if the underlying model, used for prediction, of the controlled…

系统与控制 · 电气工程与系统科学 2021-02-25 Michael Maiworm , Daniel Limon , Rolf Findeisen

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

系统与控制 · 计算机科学 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are nonparametric probabilistic models…

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet