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Gaussian Processes (GPs) provide a powerful framework for making predictions and understanding uncertainty for classification with kernels and Bayesian non-parametric learning. Building such models typically requires strong prior knowledge…

机器学习 · 计算机科学 2024-08-16 Changze Huang , Di Wang

This article proposes an efficient numerical method for solving nonlinear partial differential equations (PDEs) based on sparse Gaussian processes (SGPs). Gaussian processes (GPs) have been extensively studied for solving PDEs by…

数值分析 · 数学 2023-08-09 Rui Meng , Xianjin Yang

This paper presents a Gaussian process (GP) model for estimating piecewise continuous regression functions. In scientific and engineering applications of regression analysis, the underlying regression functions are piecewise continuous in…

统计方法学 · 统计学 2021-04-15 Chiwoo Park

This paper proposes a hybrid Gaussian process (GP) approach to robust economic model predictive control under unknown future disturbances in order to reduce the conservatism of the controller. The proposed hybrid GP is a combination of two…

系统与控制 · 电气工程与系统科学 2020-01-08 Mohammadreza Rostam , Ryozo Nagamune , Vladimir Grebenyuk

Gaussian processes (GPs) are instrumental in modeling spatial processes, offering precise interpolation and prediction capabilities across fields such as environmental science and biology. Recently, there has been growing interest in…

统计方法学 · 统计学 2025-09-04 Jiawen Chen , Aritra Halder , Yun Li , Sudipto Banerjee , Didong Li

The transduction of sequence has been mostly done by recurrent networks, which are computationally demanding and often underestimate uncertainty severely. We propose a computationally efficient attention-based network combined with the…

机器学习 · 计算机科学 2021-02-11 Kuilin Chen , Chi-Guhn Lee

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…

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

Gaussian processes (GPs) offer appealing properties but are costly to train at scale. Sparse variational GP (SVGP) approximations reduce cost yet still rely on Cholesky decompositions of kernel matrices, ill-suited to low-precision,…

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

Gaussian processes are a flexible Bayesian nonparametric modelling approach that has been widely applied but poses computational challenges. To address the poor scaling of exact inference methods, approximation methods based on sparse…

机器学习 · 统计学 2021-06-01 Rui Meng , Herbert Lee , Soper Braden , Priyadip Ray

Gaussian processes (GPs) are frequently used in machine learning and statistics to construct powerful models. However, when employing GPs in practice, important considerations must be made, regarding the high computational burden,…

统计计算 · 统计学 2021-03-08 Karla Monterrubio-Gómez , Sara Wade

Gaussian process (GP) models have received increasing attention in recent years due to their superb prediction accuracy and modeling flexibility. To address the computational burdens of GP models for large-scale datasets, distributed…

机器学习 · 统计学 2026-02-11 Haoyuan Chen , Rui Tuo

Gaussian Process (GP) regression is a flexible modeling technique used to predict outputs and to capture uncertainty in the predictions. However, the GP regression process becomes computationally intensive when the training spatial dataset…

统计计算 · 统计学 2024-09-19 Juliette Mukangango , Amanda Muyskens , Benjamin W. Priest

Due to the increasing complexity of technical systems, accurate first principle models can often not be obtained. Supervised machine learning can mitigate this issue by inferring models from measurement data. Gaussian process regression is…

系统与控制 · 电气工程与系统科学 2023-07-11 Armin Lederer , Jonas Umlauft , Sandra Hirche

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

Cooperative online scalar field mapping is an important task for multi-robot systems. Gaussian process regression is widely used to construct a map that represents spatial information with confidence intervals. However, it is difficult to…

机器人学 · 计算机科学 2024-01-24 Tianyi Ding , Ronghao Zheng , Senlin Zhang , Meiqin Liu

In this paper, we revisit batch state estimation through the lens of Gaussian process (GP) regression. We consider continuous-discrete estimation problems wherein a trajectory is viewed as a one-dimensional GP, with time as the independent…

机器人学 · 计算机科学 2014-12-02 Sean Anderson , Timothy D. Barfoot , Chi Hay Tong , Simo Särkkä

Gaussian processes (GPs) are widely used in non-parametric Bayesian modeling, and play an important role in various statistical and machine learning applications. In a variety tasks of uncertainty quantification, generating random sample…

统计计算 · 统计学 2024-08-02 Haoyuan Chen , Rui Tuo

Anomaly detection is widely used to distinguish system anomalies by analyzing the temporal and spatial features of wireless sensor network (WSN) data streams; it is one of critical technique that ensures the reliability of WSNs. Currently,…

机器学习 · 计算机科学 2022-02-23 Qinghao Zhang , Miao Ye , Hongbing Qiu , Yong Wang , Xiaofang Deng