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In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

机器学习 · 统计学 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

Recent advances in the field of meta-learning have tackled domains consisting of large numbers of small ("few-shot") supervised learning tasks. Meta-learning algorithms must be able to rapidly adapt to any individual few-shot task, fitting…

机器学习 · 计算机科学 2021-10-22 Vivek Myers , Nikhil Sardana

A Gaussian Process GP based ground segmentation method is proposed in this paper which is fully developed in a probabilistic framework. The proposed method tends to obtain a continuous realistic model of the ground. The LiDAR…

机器人学 · 计算机科学 2021-11-23 Pouria Mehrabi , Hamid D. Taghirad

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

机器学习 · 统计学 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

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

We present a novel approach for explaining Gaussian processes (GPs) that can utilize the full analytical covariance structure present in GPs. Our method is based on the popular solution concept of Shapley values extended to stochastic…

机器学习 · 统计学 2023-05-25 Siu Lun Chau , Krikamol Muandet , Dino Sejdinovic

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

Modern day engineering problems are ubiquitously characterized by sophisticated computer codes that map parameters or inputs to an underlying physical process. In other situations, experimental setups are used to model the physical process…

机器学习 · 统计学 2021-07-02 Raphael Gautier , Piyush Pandita , Sayan Ghosh , Dimitri Mavris

Gaussian processes (GPs) provide a probabilistic nonparametric representation of functions in regression, classification, and other problems. Unfortunately, exact learning with GPs is intractable for large datasets. A variety of approximate…

机器学习 · 计算机科学 2010-02-23 Yuan Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

Obtaining accurate water level predictions are essential for water resource management and implementing flood mitigation strategies. Several data-driven models can be found in the literature. However, there has been limited research with…

应用统计 · 统计学 2025-06-27 Victor Hugo Nagahama , James Sweeney , Niamh Cahill

Gaussian processes (GPs) offer a flexible, uncertainty-aware framework for modeling complex signals, but scale cubically with data, assume static targets, and are brittle to outliers, limiting their applicability in large-scale problems…

机器学习 · 统计学 2025-09-23 Fernando Llorente , Daniel Waxman , Sanket Jantre , Nathan M. Urban , Susan E. Minkoff

Gaussian Processes (\textbf{GPs}) are flexible non-parametric models with strong probabilistic interpretation. While being a standard choice for performing inference on time series, GPs have few techniques to work in a streaming setting.…

机器学习 · 统计学 2021-07-22 Théo Galy-Fajou , Manfred Opper

We propose a safety-guaranteed planning and control framework for unmanned surface vessels (USVs), using Gaussian processes (GPs) to learn uncertainties. The uncertainties encountered by USVs, including external disturbances and model…

机器人学 · 计算机科学 2022-05-11 Shuhao Zhang , Yujia Yang , Seth Siriya , Ye Pu

This paper presents a Gaussian Process (GP) framework, a non-parametric technique widely acknowledged for regression and classification tasks, to address inverse problems in mean field games (MFGs). By leveraging GPs, we aim to recover…

计算机科学与博弈论 · 计算机科学 2023-12-27 Jinyan Guo , Chenchen Mou , Xianjin Yang , Chao Zhou

Gaussian processes (GPs) are powerful but computationally expensive machine learning models, requiring an estimate of the kernel covariance matrix for every prediction. In large and complex domains, such as graphs, sets, or images, the…

机器学习 · 计算机科学 2022-04-22 Alessandro Tibo , Thomas Dyhre Nielsen

Model selection in Gaussian processes scales prohibitively with the size of the training dataset, both in time and memory. While many approximations exist, all incur inevitable approximation error. Recent work accounts for this error in the…

机器学习 · 计算机科学 2025-07-08 Jonathan Wenger , Kaiwen Wu , Philipp Hennig , Jacob R. Gardner , Geoff Pleiss , John P. Cunningham

This paper presents a probabilistic framework to obtain both reliable and fast uncertainty estimates for predictions with Deep Neural Networks (DNNs). Our main contribution is a practical and principled combination of DNNs with sparse…

机器人学 · 计算机科学 2021-09-22 Jongseok Lee , Jianxiang Feng , Matthias Humt , Marcus G. Müller , Rudolph Triebel

Autonomous underwater vehicles (AUVs) are robotic platforms that are commonly used to map the sea floor, for example for benthic surveys or for naval mine countermeasures (MCM) operations. AUVs create an acoustic image of the survey area,…

机器人学 · 计算机科学 2018-11-13 Chris Denniston , Thomas R. Krogstad , Stephanie Kemna , Gaurav S. Sukhatme

Gaussian processes (GPs) provide a framework for Bayesian inference that can offer principled uncertainty estimates for a large range of problems. For example, if we consider regression problems with Gaussian likelihoods, a GP model enjoys…

机器学习 · 计算机科学 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande