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The increased demand for online prediction and the growing availability of large data sets drives the need for computationally efficient models. While exact Gaussian process regression shows various favorable theoretical properties…

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

数值分析 · 数学 2023-09-08 Sergei Manzhos , Manabu Ihara

We report the development and validation of a data-driven real-time risk score that provides timely assessments for the clinical acuity of ward patients based on their temporal lab tests and vital signs, which allows for timely intensive…

机器学习 · 计算机科学 2017-05-23 Ahmed M. Alaa , Jinsung Yoon , Scott Hu , Mihaela van der Schaar

Gaussian process (GP) predictors are an important component of many Bayesian approaches to machine learning. However, even a straightforward implementation of Gaussian process regression (GPR) requires O(n^2) space and O(n^3) time for a…

机器学习 · 统计学 2012-11-06 Krzysztof Chalupka , Christopher K. I. Williams , Iain Murray

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

Edge transport barriers (ETBs) in magnetically confined fusion plasmas, commonly known as pedestals, play a crucial role in achieving high confinement plasmas. However, their defining characteristic, a steep rise in plasma pressure over…

Overcrowding in emergency departments (ED) remains a persistent operational challenge worldwide, causing delays in care delivery and downstream congestion. ED boarding time, defined as the duration admitted patients remain in the ED while…

机器学习 · 计算机科学 2026-05-20 Orhun Vural , Abdulaziz Ahmed , Ferhat Zengul , James Booth , Bunyamin Ozaydin

In realistic scenarios, multivariate timeseries evolve over case-by-case time-scales. This is particularly clear in medicine, where the rate of clinical events varies by ward, patient, and application. Increasingly complex models have been…

机器学习 · 计算机科学 2020-03-06 Jacob Deasy , Ari Ercole , Pietro Liò

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

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

机器学习 · 统计学 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

Problem definition: Access to accurate predictions of patients' outcomes can enhance medical staff's decision-making, which ultimately benefits all stakeholders in the hospitals. A large hospital network in the US has been collaborating…

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

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

The performance of Gaussian Process (GP) regression is often hampered by the curse of dimensionality, which inflates computational cost and reduces predictive power in high-dimensional problems. Variable selection is thus crucial for…

统计方法学 · 统计学 2025-11-24 Minshen Xu , Shiwei Lan , Lulu Kang

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

There were 25.6 million attendances at Emergency Departments (EDs) in England in 2019 corresponding to an increase of 12 million attendances over the past ten years. The steadily rising demand at EDs creates a constant challenge to provide…

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 processes (GPs) are a widely used regression tool, but the cubic complexity of exact solvers limits their scalability. To address this challenge, we extend the GPRat library by incorporating a fully GPU-resident GP prediction…

分布式、并行与集群计算 · 计算机科学 2026-02-24 Henrik Möllmann , Dirk Pflüger , Alexander Strack

The worldwide impact of the recent COVID-19 pandemic has been substantial, necessitating the development of accurate forecasting models to predict the spread and course of a pandemic. Previous methods for outbreak forecasting have faced…

机器学习 · 计算机科学 2024-08-28 Ashutosh Anshul , Jhalak Gupta , Mohammad Zia Ur Rehman , Nagendra Kumar

In this work, we examine a novel forecasting approach for COVID-19 case prediction that uses Graph Neural Networks and mobility data. In contrast to existing time series forecasting models, the proposed approach learns from a single…

机器学习 · 计算机科学 2020-07-08 Amol Kapoor , Xue Ben , Luyang Liu , Bryan Perozzi , Matt Barnes , Martin Blais , Shawn O'Banion