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Gaussian process regression (GPR) is a fundamental model used in machine learning. Owing to its accurate prediction with uncertainty and versatility in handling various data structures via kernels, GPR has been successfully used in various…

Machine Learning · Computer Science 2021-12-16 Yuya Yoshikawa , Tomoharu Iwata

Predicting patient volumes in a hospital setting is a well-studied application of time series forecasting. Existing tools usually make forecasts at the daily or weekly level to assist in planning for staffing requirements. Prompted by new…

Machine Learning · Computer Science 2020-11-13 Erik Drysdale , Devin Singh , Anna Goldenberg

Probabilistic models are often used to make predictions in regions of the data space where no observations are available, but it is not always clear whether such predictions are well-informed by previously seen data. In this paper, we…

Machine Learning · Statistics 2026-02-24 Kurt Butler , Guanchao Feng , Tong Chen , Petar Djuric

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…

Machine Learning · Computer Science 2024-08-29 Harris Papadopoulos

Almost all scientific data have uncertainties originating from different sources. Gaussian process regression (GPR) models are a natural way to model data with Gaussian-distributed uncertainties. GPR also has the benefit of reducing I/O…

Machine Learning · Statistics 2025-12-16 Haoyu Li , Isaac J Michaud , Ayan Biswas , Han-Wei Shen

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…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Armin Lederer , Jonas Umlauft , Sandra Hirche

Within epidemiological modeling, the majority of analyses assume a single epidemic process for generating ground-truth data. However, this assumed data generation process can be unrealistic, since data sources for epidemics are often…

Artificial Intelligence · Computer Science 2021-06-22 Anna L. Trella , Peniel N. Argaw , Michelle M. Li , James A. Hay

Interference prediction and resource allocation are critical challenges in mission-critical applications where stringent latency and reliability constraints must be met. This paper proposes a novel Gaussian process regression (GPR)-based…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Syed Luqman Shah , Nurul Huda Mahmood , Matti Latva-aho

Epidemic spread in a population is traditionally modeled via compartmentalized models which represent the free evolution of disease in absence of any intervention policies. In addition, these models assume full observability of disease…

Populations and Evolution · Quantitative Biology 2021-06-16 Nitin Kamra , Yizhou Zhang , Sirisha Rambhatla , Chuizheng Meng , Yan Liu

Accurately predicting when and where ambulance call-outs occur can reduce response times and ensure the patient receives urgent care sooner. Here we present a novel method for ambulance demand prediction using Gaussian process regression…

Machine Learning · Statistics 2018-06-29 Seth Nabarro , Tristan Fletcher , John Shawe-Taylor

Gaussian process regression (GPR) is a popular nonparametric Bayesian method that provides predictive uncertainty estimates and is widely used in safety-critical applications. While prior research has introduced various uncertainty bounds,…

Machine Learning · Computer Science 2025-12-05 Junyi Liu , Stanley Kok

Computational models help decision makers understand epidemic dynamics to optimize public health interventions. Agent-based simulation of disease spread in synthetic populations allows us to compare and contrast different effects across…

Multiagent Systems · Computer Science 2023-09-12 Abdulrahman A. Ahmed , M. Amin Rahimian , Mark S. Roberts

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…

Statistics Theory · Mathematics 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…

Machine Learning · Statistics 2024-01-30 Jie Wang

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…

Signal Processing · Electrical Eng. & Systems 2022-10-07 Koya Sato

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…

Computation · Statistics 2025-03-31 Eva Gunn , Nikhil Sengupta , Ben Swallow

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

Methodology · Statistics 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

Gaussian process regression (GPR) or kernel ridge regression is a widely used and powerful tool for nonlinear prediction. Therefore, active learning (AL) for GPR, which actively collects data labels to achieve an accurate prediction with…

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

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…

Methodology · Statistics 2022-09-07 Jarrod Leddy , Sandeep Madireddy , Eric Howell , Scott Kruger
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