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Accurate time series forecasting is crucial for optimizing resource allocation, industrial production, and urban management, particularly with the growth of cyber-physical and IoT systems. However, limited training sample availability in…

In this paper, we introduce the use of a personalized Gaussian Process model (pGP) to predict per-patient changes in ADAS-Cog13 -- a significant predictor of Alzheimer's Disease (AD) in the cognitive domain -- using data from each patient's…

机器学习 · 计算机科学 2018-05-07 Yuria Utsumi , Ognjen Rudovic , Kelly Peterson , Ricardo Guerrero , Rosalind W. Picard

By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

最优化与控制 · 数学 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

Derivatives are a key nonparametric functional in wide-ranging applications where the rate of change of an unknown function is of interest. In the Bayesian paradigm, Gaussian processes (GPs) are routinely used as a flexible prior for…

统计理论 · 数学 2025-12-30 Zejian Liu , Meng Li

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

机器学习 · 计算机科学 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

The Gaussian process (GP) is a nonparametric prior distribution over functions indexed by time, space, or other high-dimensional index set. The GP is a flexible model yet its limitation is given by its very nature: it can only model…

机器学习 · 统计学 2019-07-15 Gonzalo Rios , Felipe Tobar

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

This work introduces the concept of parametric Gaussian processes (PGPs), which is built upon the seemingly self-contradictory idea of making Gaussian processes parametric. Parametric Gaussian processes, by construction, are designed to…

机器学习 · 统计学 2017-05-08 Maziar Raissi

Gamma process has been extensively used to model monotone degradation data. Statistical inference for the gamma process is difficult due to the complex parameter structure involved in the likelihood function. In this paper, we derive a…

统计方法学 · 统计学 2022-12-07 Ancha Xu

A novel extrapolation method is proposed for longitudinal forecasting. A hierarchical Gaussian process model is used to combine nonlinear population change and individual memory of the past to make prediction. The prediction error is…

统计方法学 · 统计学 2014-08-25 Leo L. Duan , John P. Clancy , Rhonda D. Szczesniak

This paper proposes a hierarchical Bayesian model for probabilistic estimation of the electric vehicle battery capacity fade. Since the battery aging factors such as temperature, current, and state of charge are not fixed, and they change…

系统与控制 · 电气工程与系统科学 2019-11-05 Mehdi Jafari , Laura E. Brown , Lucia Gauchia

Gaussian processes (GPs) provide a framework for Bayesian inference that can offer principled uncertainty estimates for a large range of problems. For example, if we consider regression problems with Gaussian likelihoods, a GP model enjoys…

机器学习 · 计算机科学 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande

Predicting lithium-ion battery lifetime is one of the greatest unsolved problems in battery research right now. Recent years have witnessed a surge in lifetime prediction papers using physics-based, empirical, or data-driven models, most of…

The periodic Gaussian process (PGP) has been increasingly used to model periodic data due to its high accuracy. Yet, computing the likelihood of PGP has a high computational complexity of $\mathcal{O}\left(n^{3}\right)$ ($n$ is the data…

统计方法学 · 统计学 2023-02-10 Yongxiang Li , Yuting Pu , Changming Cheng , Qian Xiao

With increasing concerns of climate change, renewable resources such as photovoltaic (PV) have gained popularity as a means of energy generation. The smooth integration of such resources in power system operations is enabled by accurate…

应用统计 · 统计学 2021-03-30 Fatemeh Najibi , Dimitra Apostolopoulou , Eduardo Alonso

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

机器学习 · 统计学 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

The incomplete sampling of data in complex polarization measurements from radio telescopes negatively affects both the rotation measure (RM) transfer function and the Faraday depth spectra derived from these data. Such gaps in polarization…

天体物理仪器与方法 · 物理学 2021-02-24 S. W. Ndiritu , A. M. M. Scaife , D. L. Tabb , M. Carcamo , J. Hanson

In many real-world applications we are interested in approximating costly functions that are analytically unknown, e.g. complex computer codes. An emulator provides a fast approximation of such functions relying on a limited number of…

统计方法学 · 统计学 2020-10-02 Hossein Mohammadi , Peter Challenor , Marc Goodfellow , Daniel Williamson

Batteries are dynamic systems with complicated nonlinear aging, highly dependent on cell design, chemistry, manufacturing, and operational conditions. Prediction of battery cycle life and estimation of aging states is important to…

系统与控制 · 电气工程与系统科学 2024-10-11 Joachim Schaeffer , Giacomo Galuppini , Jinwook Rhyu , Patrick A. Asinger , Robin Droop , Rolf Findeisen , Richard D. Braatz

Studies of hadron resonances and their properties are limited by the accuracy and consistency of measured datasets, which can originate from many different experiments. We have used Gaussian Processes (GP) to build interpolated datasets,…

数据分析、统计与概率 · 物理学 2025-05-06 R. F. Ferguson , D. G. Ireland , B. McKinnon