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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

Gaussian process are a widely-used statistical tool for conducting non-parametric inference in applied sciences, with many computational packages available to fit to data and predict future observations. We study the use of the Greta…

统计计算 · 统计学 2025-03-31 Eva Gunn , Nikhil Sengupta , Ben Swallow

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

Accurate channel state information (CSI) is critical for current and next-generation multi-antenna systems. Yet conventional pilot-based estimators incur prohibitive overhead as antenna counts grow. In this paper, we address this challenge…

信号处理 · 电气工程与系统科学 2026-01-05 Syed Luqman Shah , Nurul Huda Mahmood , Italo Atzeni

A common task is the determination of system parameters from spectroscopy, where one compares the experimental spectrum with calculated spectra, that depend on the desired parameters. Here we discuss an approach based on a machine learning…

量子物理 · 物理学 2022-05-04 Farhad Taher-Ghahramani , Fulu Zheng , Alexander Eisfeld

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

统计方法学 · 统计学 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

Gaussian processes (GPs) are a class of Kernel methods that have shown to be very useful in geoscience and remote sensing applications for parameter retrieval, model inversion, and emulation. They are widely used because they are simple,…

机器学习 · 计算机科学 2020-05-21 J. Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

In this work, we present a novel machine learning approach for pricing high-dimensional American options based on the modified Gaussian process regression (GPR). We incorporate deep kernel learning and sparse variational Gaussian processes…

计算金融 · 定量金融 2024-04-19 Jirong Zhuang , Deng Ding , Weiguo Lu , Xuan Wu , Gangnan Yuan

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

统计方法学 · 统计学 2025-07-08 Sofia L. Vega , Rachel C. Nethery

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

统计金融 · 定量金融 2024-03-05 Narayan Tondapu

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

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

Gaussian processes (GPs) are flexible, probabilistic, nonparametric models widely used in fields such as spatial statistics and machine learning. A drawback of Gaussian processes is their computational cost, with $O(N^3)$ time and $O(N^2)$…

统计计算 · 统计学 2026-05-20 Filippo Rambelli , Fabio Sigrist

One of the key challenges in revenue management is unconstraining demand data. Existing state of the art single-class unconstraining methods make restrictive assumptions about the form of the underlying demand and can perform poorly when…

应用统计 · 统计学 2017-11-30 Ilan Price , Jaroslav Fowkes , Daniel Hopman

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

机器人学 · 计算机科学 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

机器学习 · 计算机科学 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

Non-stationary time series with non-linear trends are frequently encountered in applications. We consider here the feasibility of accurately forecasting the signals of multiple such time series considering jointly when the number of…

统计方法学 · 统计学 2016-08-05 Kerry Fendick

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

机器学习 · 统计学 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

Automatic forecasting is the task of receiving a time series and returning a forecast for the next time steps without any human intervention. Gaussian Processes (GPs) are a powerful tool for modeling time series, but so far there are no…

机器学习 · 统计学 2023-04-27 Giorgio Corani , Alessio Benavoli , Marco Zaffalon

This work presents a Gaussian Process (GP) modeling method to predict statistical characteristics of injury kinematics responses using Human Body Models (HBM) more accurately and efficiently. We validate the GHBMC model against a 50\%tile…

应用统计 · 统计学 2025-04-04 Changmin Baek , Junik Cho , Dongjin Lee