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Accurate underwater navigation is a challenging task due to the absence of global navigation satellite system signals and the reliance on inertial navigation systems that suffer from drift over time. Doppler velocity logs (DVLs) are…

机器人学 · 计算机科学 2025-12-16 Nadav Cohen , Itzik Klein

Gaussian Process Regression (GPR) is widely used in statistics and machine learning for prediction tasks requiring uncertainty measures. Its efficacy depends on the appropriate specification of the mean function, covariance kernel function,…

机器学习 · 计算机科学 2024-09-20 Shifan Zhao , Jiaying Lu , Ji Yang , Edmond Chow , Yuanzhe Xi

Examples with bound information on the regression function and density abound in many real applications. We propose a novel approach for estimating such functions by incorporating the prior knowledge on the bounds. Specially, a Gaussian…

统计方法学 · 统计学 2018-10-30 Jize Zhang , Lizhen Lin

We present a physics-informed Gaussian Process Regression (GPR) model to predict the phase angle, angular speed, and wind mechanical power from a limited number of measurements. In the traditional data-driven GPR method, the form of the…

信号处理 · 电气工程与系统科学 2018-06-29 Ramakrishna Tipireddy , Alexandre Tartakovsky

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

统计计算 · 统计学 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

This paper considers the quantification of the prediction performance in Gaussian process regression. The standard approach is to base the prediction error bars on the theoretical predictive variance, which is a lower bound on the mean…

机器学习 · 统计学 2017-03-16 Johan Wågberg , Dave Zachariah , Thomas B. Schön , Petre Stoica

The extraction of parton distribution functions (PDFs) from experimental or lattice QCD data is an ill-posed inverse problem, where regularization strongly impacts both systematic uncertainties and the reliability of the results. We study a…

高能物理 - 格点 · 物理学 2026-02-11 Yamil Cahuana Medrano , Hervé Dutrieux , Joseph Karpie , Kostas Orginos , Savvas Zafeiropoulos

Detecting and characterizing the Epoch of Reionization and Cosmic Dawn via the redshifted 21-cm hyperfine line of neutral hydrogen will revolutionize the study of the formation of the first stars, galaxies, black holes and intergalactic gas…

宇宙学与河外天体物理 · 物理学 2018-05-23 F. G. Mertens , A. Ghosh , L. V. E. Koopmans

Gaussian Process Regression (GPR) is a Bayesian method for inferring profiles based on input data. The technique is increasing in popularity in the fusion community due to its many advantages over traditional fitting techniques including…

统计方法学 · 统计学 2022-09-07 Jarrod Leddy , Sandeep Madireddy , Eric Howell , Scott Kruger

Ground-penetrating radar (GPR) has been an effective technology for locating metal bars in civil engineering structures. However, the accurate sizing of subsurface metal bars of small diameters remains a challenging problem for the existing…

信号处理 · 电气工程与系统科学 2022-12-27 Hai-Han Sun , Weixia Cheng , Zheng Fan

This paper studies the estimation of high dimensional Gaussian graphical model (GGM). Typically, the existing methods depend on regularization techniques. As a result, it is necessary to choose the regularized parameter. However, the…

统计方法学 · 统计学 2013-06-06 Weidong Liu

Accurate channel estimation with low pilot overhead and computational complexity is key to efficiently utilizing multi-antenna wireless systems. Motivated by the evolution from purely statistical descriptions toward physics- and…

信号处理 · 电气工程与系统科学 2026-01-22 Syed Luqman Shah , Nurul Huda Mahmood , Italo Atzeni

We study the use of Gaussian process emulators to approximate the parameter-to-observation map or the negative log-likelihood in Bayesian inverse problems. We prove error bounds on the Hellinger distance between the true posterior…

数值分析 · 数学 2024-10-01 Andrew M. Stuart , Aretha L. Teckentrup

We apply for the first time Gaussian Process Regression (GPR) as a foreground removal technique in the context of single-dish, low redshift HI intensity mapping, and present an open-source Python toolkit for doing so. We use MeerKAT and…

宇宙学与河外天体物理 · 物理学 2021-10-05 Paula S. Soares , Catherine A. Watkinson , Steven Cunnington , Alkistis Pourtsidou

The estimation of Remaining Useful Life (RUL) plays a pivotal role in intelligent manufacturing systems and Industry 4.0 technologies. While recent advancements have improved RUL prediction, many models still face interpretability and…

机器学习 · 计算机科学 2024-11-26 Tian Niu , Zijun Xu , Heng Luo , Ziqing Zhou

In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wave equation.In a recent article, we obtained promising…

偏微分方程分析 · 数学 2023-11-10 Iain Henderson , Pascal Noble , Olivier Roustant

This paper proposes a new algorithm for Gaussian process classification based on posterior linearisation (PL). In PL, a Gaussian approximation to the posterior density is obtained iteratively using the best possible linearisation of the…

机器学习 · 计算机科学 2019-04-19 Ángel F. García-Fernández , Filip Tronarp , Simo Särkkä

Fine particulate matter and aerosol optical thickness are of interest to atmospheric scientists for understanding air quality and its various health/environmental impacts. The available data are extremely large, making uncertainty…

统计方法学 · 统计学 2025-03-05 Madelyn Clinch , Jonathan R. Bradley

Outlier detection of semiconductor devices is important since manufacturing variation is inherently inevitable. In order to properly detect outliers, it is necessary to consider the discrepancy from underlying trend. Conventional methods…

系统与控制 · 电气工程与系统科学 2022-01-26 Kyohei Shimozato , Michihiro Shintani , Takashi Sato

The use of Gaussian Process Regression (GPR) for foregrounds mitigation in data collected by the LOw-Frequency ARray (LOFAR) to measure the high-redshift 21-cm signal power spectrum has been shown to have issues of signal loss when the…

宇宙学与河外天体物理 · 物理学 2024-08-21 Anshuman Acharya , Florent Mertens , Benedetta Ciardi , Raghunath Ghara , Léon V. E. Koopmans , Saleem Zaroubi