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In this paper we propose a general series method to estimate a semiparametric partially linear varying coefficient model. We establish the consistency and \sqrtn-normality property of the estimator of the finite-dimensional parameters of…

Statistics Theory · Mathematics 2007-06-13 Ibrahim Ahmad , Sittisak Leelahanon , Qi Li

Remote sensing data products often include quality flags that inform users whether the associated observations are of good, acceptable or unreliable qualities. However, such information on data fidelity is not considered in remote sensing…

Applications · Statistics 2022-08-19 Bledar A. Konomi , Emily L. Kang , Ayat Almomani , Jonathan Hobbs

Satellite-based positioning system such as GPS often suffers from large amount of noise that degrades the positioning accuracy dramatically especially in real-time applications. In this work, we consider a data-mining approach to enhance…

Machine Learning · Statistics 2019-06-05 Ming Lin , Xiaomin Song , Qi Qian , Hao Li , Liang Sun , Shenghuo Zhu , Rong Jin

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…

Robotics · Computer Science 2024-01-24 Tianyi Ding , Ronghao Zheng , Senlin Zhang , Meiqin Liu

This paper focuses on the problem of determining as large a region as possible where a function exceeds a given threshold with high probability. We assume that we only have access to a noise-corrupted version of the function and that…

Machine Learning · Statistics 2018-11-27 Andrea Zanette , Junzi Zhang , Mykel J. Kochenderfer

We present a stepwise approach to estimate high dimensional Gaussian graphical models. We exploit the relation between the partial correlation coefficients and the distribution of the prediction errors, and parametrize the model in terms of…

Methodology · Statistics 2018-08-21 Ginette Lafit , Francisco J. Nogales , Marcelo Ruiz , Ruben H. Zamar

In this paper we address a classification problem where two sources of labels with different levels of fidelity are available. Our approach is to combine data from both sources by applying a co-kriging schema on latent functions, which…

Machine Learning · Computer Science 2019-10-22 Nikita Klyuchnikov , Evgeny Burnaev

In this work, we develop a multi-fidelity Bayesian experimental design framework to efficiently quantify the extreme-event statistics of an input-to-response (ItR) system with given input probability and expensive function evaluations. The…

Fluid Dynamics · Physics 2022-01-04 Xianliang Gong , Yulin Pan

State-space models have been successfully used for more than fifty years in different areas of science and engineering. We present a procedure for efficient variational Bayesian learning of nonlinear state-space models based on sparse…

Machine Learning · Computer Science 2014-11-04 Roger Frigola , Yutian Chen , Carl E. Rasmussen

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

Methodology · Statistics 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

Gaussian processes (GPs) are generally regarded as the gold standard surrogate model for emulating computationally expensive computer-based simulators. However, the problem of training GPs as accurately as possible with a minimum number of…

Methodology · Statistics 2024-11-26 Hossein Mohammadi , Peter Challenor

Gaussian processes are flexible probabilistic regression models which are widely used in statistics and machine learning. However, a drawback is their limited scalability to large data sets. To alleviate this, full-scale approximations…

Methodology · Statistics 2026-01-13 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Using piezoelectric impedance/admittance sensing for structural health monitoring is promising, owing to the simplicity in circuitry design as well as the high-frequency interrogation capability. The actual identification of fault location…

Computational Engineering, Finance, and Science · Computer Science 2018-10-30 Pei Cao , Qi Shuai , Jiong Tang

Iterative methods for fitting a Gaussian Random Field (GRF) model via maximum likelihood (ML) estimation requires solving a nonconvex optimization problem. The problem is aggravated for anisotropic GRFs where the number of covariance…

Machine Learning · Statistics 2021-01-12 Sam Davanloo Tajbakhsh , Necdet Serhat Aybat , Enrique Del Castillo

In a wireless sensor network, data from various sensors are gathered to estimate the system-state of the process system. However, adversaries aim at distorting the system-state estimate, for which they may infiltrate sensors or position…

Information Theory · Computer Science 2022-08-15 Stefan Roth , Aydin Sezgin , Roman Bessel , H. Vincent Poor

The design process of complex systems such as new configurations of aircraft or launch vehicles is usually decomposed in different phases which are characterized for instance by the depth of the analyses in terms of number of design…

Machine Learning · Computer Science 2020-07-01 Loïc Brevault , Mathieu Balesdent , Ali Hebbal

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

Machine Learning · Computer Science 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva

Engineers widely use Gaussian process regression framework to construct surrogate models aimed to replace computationally expensive physical models while exploring design space. Thanks to Gaussian process properties we can use both samples…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Alexey Zaytsev

The semiconductor industry is one of the most technology-evolving and capital-intensive market sectors. Effective inspection and metrology are necessary to improve product yield, increase product quality and reduce costs. In recent years,…

Machine Learning · Computer Science 2023-10-12 Angzhi Fan , Yu Huang , Fei Xu , Sthitie Bom