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Gaussian process (GP) methods have been widely studied recently, especially for large-scale systems with big data and even more extreme cases when data is sparse. Key advantages of these methods consist in: 1) the ability to provide…

统计方法学 · 统计学 2024-09-13 Chenyi Lyu , Xingchi Liu , Lyudmila Mihaylova

The proliferation of capable and efficient machine learning (ML) models marks one of the strongest methodological shifts in signal processing (SP) in its nearly 100-year history. ML models support the development of SP systems that…

信号处理 · 电气工程与系统科学 2026-05-01 Daniel Waxman , Fernando Llorente , Petar M. Djurić

Gaussian processes (GPs) are nonparametric Bayesian models that have been applied to regression and classification problems. One of the approaches to alleviate their cubic training cost is the use of local GP experts trained on subsets of…

机器学习 · 统计学 2021-02-16 Samuel Cohen , Rendani Mbuvha , Tshilidzi Marwala , Marc Peter Deisenroth

We investigate jointly modeling Age-specific rates of various causes of death in a multinational setting. We apply Multi-Output Gaussian Processes (MOGP), a spatial machine learning method, to smooth and extrapolate multiple cause-of-death…

应用统计 · 统计学 2021-11-15 Nhan Huynh , Mike Ludkovski

Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

最优化与控制 · 数学 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

统计金融 · 定量金融 2024-03-05 Narayan Tondapu

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

机器人学 · 计算机科学 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

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

In this paper we introduce a novel model for Gaussian process (GP) regression in the fully Bayesian setting. Motivated by the ideas of sparsification, localization and Bayesian additive modeling, our model is built around a recursive…

统计理论 · 数学 2022-06-06 Hengrui Luo , Giovanni Nattino , Matthew T. Pratola

Although machine learning is increasingly applied in control approaches, only few methods guarantee certifiable safety, which is necessary for real world applications. These approaches typically rely on well-understood learning algorithms,…

机器学习 · 计算机科学 2020-06-16 Armin Lederer , Markus Kessler , Sandra Hirche

Some scenarios require the computation of a predictive distribution of a new value evaluated on an objective function conditioned on previous observations. We are interested on using a model that makes valid assumptions on the objective…

机器学习 · 计算机科学 2021-01-21 Lucia Asencio-Martín , Eduardo C. Garrido-Merchán

Surface roughness plays a critical role and has effects in, e.g. fluid dynamics or contact mechanics. For example, to evaluate fluid behavior at different roughness properties, real-world or numerical experiments are performed. Numerical…

信号处理 · 电气工程与系统科学 2023-03-07 Arsalan Jawaid , Jörg Seewig

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

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 widely used for regression and optimization tasks such as Bayesian optimization (BO) due to their expressiveness and principled uncertainty estimates. However, in settings with large datasets corrupted by…

机器学习 · 计算机科学 2026-01-13 Marshal Arijona Sinaga , Julien Martinelli , Samuel Kaski

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

机器学习 · 计算机科学 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

Gaussian processes (GPs) are widely used in nonparametric regression, classification and spatio-temporal modeling, motivated in part by a rich literature on theoretical properties. However, a well known drawback of GPs that limits their use…

统计方法学 · 统计学 2011-06-29 Anjishnu Banerjee , David Dunson , Surya Tokdar

In the scenario of real-time monitoring of hospital patients, high-quality inference of patients' health status using all information available from clinical covariates and lab tests is essential to enable successful medical interventions…

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

机器学习 · 统计学 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Gaussian Processes (GPs) are powerful kernelized methods for non-parameteric regression used in many applications. However, their use is limited to a few thousand of training samples due to their cubic time complexity. In order to scale GPs…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon