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In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

机器学习 · 统计学 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

Due to its state-of-the-art estimation performance complemented by rigorous and non-conservative uncertainty bounds, Gaussian process regression is a popular tool for enhancing dynamical system models and coping with their inaccuracies.…

系统与控制 · 电气工程与系统科学 2025-02-05 Anna Scampicchio , Elena Arcari , Amon Lahr , Melanie N. Zeilinger

This paper presents a real-time capable algorithm for the learning of Gaussian Processes (GP) for submodels. It extends an existing recursive Gaussian Process (RGP) algorithm which requires a measurable output. In many applications,…

系统与控制 · 电气工程与系统科学 2025-11-24 Ricus Husmann , Sven Weishaupt , Harald Aschemann

This paper presents a new approach for Gaussian process (GP) regression for large datasets. The approach involves partitioning the regression input domain into multiple local regions with a different local GP model fitted in each region.…

机器学习 · 计算机科学 2018-07-10 Chiwoo Park , Daniel Apley

Gaussian process (GP) models form a core part of probabilistic machine learning. Considerable research effort has been made into attacking three issues with GP models: how to compute efficiently when the number of data is large; how to…

Obstacle-aware trajectory navigation is crucial for many systems. For example, in real-world navigation tasks, an agent must avoid obstacles, such as furniture in a room, while planning a trajectory. Gaussian Process (GP) regression, in its…

机器学习 · 计算机科学 2024-12-10 Gaurav Shrivastava

This paper proposes a physically consistent Gaussian Process (GP) enabling the identification of uncertain Lagrangian systems. The function space is tailored according to the energy components of the Lagrangian and the differential equation…

机器学习 · 计算机科学 2023-02-06 Giulio Evangelisti , Sandra Hirche

Robotic tasks which involve uncertainty--due to variation in goal, environment configuration, or confidence in task model--may require human input to instruct or adapt the robot. In tasks with physical contact, several existing methods for…

机器人学 · 计算机科学 2026-02-17 Kevin Haninger , Christian Hegeler , Luka Peternel

Model predictive control is an advanced control approach for multivariable systems with constraints, which is reliant on an accurate dynamic model. Most real dynamic models are however affected by uncertainties, which can lead to…

最优化与控制 · 数学 2021-03-10 E. Bradford , L. Imsland

Improving the predictive accuracy of a dynamics model is crucial to obtaining good control performance and safety from Model Predictive Controllers (MPC). One approach involves learning unmodelled (residual) dynamics, in addition to nominal…

系统与控制 · 电气工程与系统科学 2025-11-19 Leroy D'Souza , Yash Vardhan Pant , Sebastian Fischmeister

The control of a single agent in complex and uncertain multi-agent environments requires careful consideration of the interactions between the agents. In this context, this paper proposes a dual model predictive control (MPC) method using…

最优化与控制 · 数学 2025-09-03 T. M. J. T. Baltussen , A. Katriniok , E. Lefeber , R. Tóth , W. P. M. H. Heemels

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

机器学习 · 统计学 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

The detection of periodic signals in irregularly-sampled time series is a problem commonly encountered in astronomy. Traditional tools used for periodic searches, such as the periodogram, have poorly defined statistical properties under…

天体物理仪器与方法 · 物理学 2025-01-13 A. Gúrpide , M. Middleton

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

最优化与控制 · 数学 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

We introduce a new periodicity detection algorithm for binary time series of event onsets, the Gaussian Mixture Periodicity Detection Algorithm (GMPDA). The algorithm approaches the periodicity detection problem to infer the parameters of a…

统计方法学 · 统计学 2022-01-21 Ezekiel Barnett , Olga Kaiser , Jonathan Masci , Ernst Wit , Stephany Fulda

We present $\mathcal{L}_1$-$\mathcal{GP}$, an architecture based on $\mathcal{L}_1$ adaptive control and Gaussian Process Regression (GPR) for safe simultaneous control and learning. On one hand, the $\mathcal{L}_1$ adaptive control…

系统与控制 · 电气工程与系统科学 2020-05-01 Aditya Gahlawat , Pan Zhao , Andrew Patterson , Naira Hovakimyan , Evangelos A. Theodorou

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

机器学习 · 统计学 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

机器学习 · 计算机科学 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe

We propose a new method for simplification of Gaussian process (GP) models by projecting the information contained in the full encompassing model and selecting a reduced number of variables based on their predictive relevance. Our results…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari