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相关论文: A Multi-output Gaussian Process Regression with Ne…

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This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

机器学习 · 统计学 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Multitask Gaussian processes (MTGP) are the Gaussian process (GP) framework's solution for multioutput regression problems in which the $T$ elements of the regressors cannot be considered conditionally independent given the observations.…

机器学习 · 计算机科学 2022-08-26 Óscar García-Hinde , Vanessa Gómez-Verdejo , Manel Martínez-Ramón

Machine learning models can be improved by adapting them to respect existing background knowledge. In this paper we consider multitask Gaussian processes, with background knowledge in the form of constraints that require a specific sum of…

机器学习 · 统计学 2023-02-02 Philipp Pilar , Carl Jidling , Thomas B. Schön , Niklas Wahlström

This tutorial aims to provide an intuitive introduction to Gaussian process regression (GPR). GPR models have been widely used in machine learning applications due to their representation flexibility and inherent capability to quantify…

机器学习 · 统计学 2024-01-30 Jie Wang

In this paper, we apply the practical GADI-HS iteration as a smoother in algebraic multigrid (AMG) method for solving second-order non-selfadjoint elliptic problem. Additionally, we prove the convergence of the derived algorithm and…

数值分析 · 数学 2025-12-08 Juan Zhang , Junyue Luo

Bayesian optimization (BO) based on Gaussian process regression (GPR) is applied to different CFD (computational fluid dynamics) problems which can be of practical relevance. The problems are i) shape optimization in a lid-driven cavity to…

流体动力学 · 物理学 2021-11-15 Y. Morita , S. Rezaeiravesh , N. Tabatabaei , R. Vinuesa , K. Fukagata , P. Schlatter

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

The accurate prediction of the two-phase heat transfer coefficient (HTC) as a function of working fluids, channel geometries and process conditions is key to the optimal design and operation of compact heat exchangers. Advances in…

流体动力学 · 物理学 2023-05-31 Tullio Traverso , Francesco Coletti , Luca Magri , Tassos G. Karayiannis , Omar K. Matar

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

This paper proposes a distributed Gaussian process regression (GPR) with over-the-air computation, termed AirComp GPR, for communication- and computation-efficient data analysis over wireless networks. GPR is a non-parametric regression…

信号处理 · 电气工程与系统科学 2022-10-07 Koya Sato

Forward Osmosis (FO) is a promising low-energy membrane separation technology, but challenges in accurately modelling its water flux (Jw) persist due to complex internal mass transfer phenomena. Traditional mechanistic models struggle with…

机器学习 · 计算机科学 2025-12-12 Shiv Ratn , Shivang Rampriyan , Bahni Ray

Gaussian Process Regression (GPR) is a popular regression method, which unlike most Machine Learning techniques, provides estimates of uncertainty for its predictions. These uncertainty estimates however, are based on the assumption that…

机器学习 · 计算机科学 2024-08-29 Harris Papadopoulos

To predict future trajectories, the normalizing flow with a standard Gaussian prior suffers from weak diversity. The ineffectiveness comes from the conflict between the fact of asymmetric and multi-modal distribution of likely outcomes and…

计算机视觉与模式识别 · 计算机科学 2025-01-16 Jiahe Chen , Jinkun Cao , Dahua Lin , Kris Kitani , Jiangmiao Pang

Calibration is a highly challenging task, in particular in multiple yield curve markets. This paper is a first attempt to study the chances and challenges of the application of machine learning techniques for this. We employ Gaussian…

证券定价 · 定量金融 2020-04-20 Sandrine Gümbel , Thorsten Schmidt

Many problems in science and engineering require making predictions based on few observations. To build a robust predictive model, these sparse data may need to be augmented with simulated data, especially when the design space is…

Gaussian Processes (GPs) are a popular approach to predict the output of a parameterized experiment. They have many applications in the field of Computer Experiments, in particular to perform sensitivity analysis, adaptive design of…

最优化与控制 · 数学 2017-05-08 Hossein Mohammadi , Rodolphe Le Riche , Nicolas Durrande , Eric Touboul , Xavier Bay

Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

量子物理 · 物理学 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

Prediction of events such as part replacement and failure events plays a critical role in reliability engineering. Event stream data are commonly observed in manufacturing and teleservice systems. Designing predictive models for individual…

机器学习 · 统计学 2020-11-09 Salman Jahani , Shiyu Zhou , Dharmaraj Veeramani , Jeff Schmidt

Gaussian Process (GP) regression is a flexible non-parametric approach to approximate complex models. In many cases, these models correspond to processes with bounded physical properties. Standard GP regression typically results in a proxy…

机器学习 · 计算机科学 2020-04-10 Andrew Pensoneault , Xiu Yang , Xueyu Zhu

One of the key challenges that Reinforcement Learning (RL) faces is its limited capability to adapt to a change of data distribution caused by uncertainties. This challenge arises especially in RL systems using deep neural networks as…

机器学习 · 计算机科学 2025-06-17 Amornyos Horprasert , Esa Apriaskar , Xingyu Liu , Lanlan Su , Lyudmila S. Mihaylova