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Gaussian Process (GP) regressions have proven to be a valuable tool to predict disturbances and model mismatches and incorporate this information into a Model Predictive Control (MPC) prediction. Unfortunately, the computational complexity…

系统与控制 · 电气工程与系统科学 2022-10-17 Niklas Schmid , Jonas Gruner , Hossam S. Abbas , Philipp Rostalski

We present a novel computational approach for extracting weak signals, whose exact location and width may be unknown, from complex background distributions with an arbitrary functional form. We focus on datasets that can be naturally…

高能物理 - 实验 · 物理学 2023-03-22 Abhijith Gandrakota , Amitabh Lath , Alexandre V. Morozov , Sindhu Murthy

Gaussian processes (GPs) are nonparametric Bayesian models that have been applied to regression and classification problems. One of the approaches to alleviate their cubic training cost is the use of local GP experts trained on subsets of…

机器学习 · 统计学 2021-02-16 Samuel Cohen , Rendani Mbuvha , Tshilidzi Marwala , Marc Peter Deisenroth

Several applications such as nuclear forensics, nuclear fuel cycle simulations and sensitivity analysis require methods to quickly compute spent fuel nuclide compositions for various irradiation histories. Traditionally, this has been done…

计算物理 · 物理学 2021-03-16 Antonio Figueroa , Malte Goettsche

Objective: Gaussian Processes (GP)-based filters, which have been effectively used for various applications including electrocardiogram (ECG) filtering can be computationally demanding and the choice of their hyperparameters is typically ad…

信号处理 · 电气工程与系统科学 2024-01-10 Mircea Dumitru , Qiao Li , Erick Andres Perez Alday , Ali Bahrami Rad , Gari D. Clifford , Reza Sameni

Gaussian process (GP) models that combine both categorical and continuous input variables have found use in analysis of longitudinal data and computer experiments. However, standard inference for these models has the typical cubic scaling,…

统计计算 · 统计学 2025-04-10 Juho Timonen , Harri Lähdesmäki

Diverse usage patterns induce complex and variable aging behaviors in lithium-ion batteries, complicating accurate health diagnosis and prognosis. Separate diagnostic cycles are often used to untangle the battery's current state of health…

系统与控制 · 电气工程与系统科学 2025-03-11 Yunhong Che , Vivek N. Lam , Jinwook Rhyu , Joachim Schaeffer , Minsu Kim , Martin Z. Bazant , William C. Chueh , Richard D. Braatz

Gaussian Processes (GPs) are powerful kernelized methods for non-parameteric regression used in many applications. However, their use is limited to a few thousand of training samples due to their cubic time complexity. In order to scale GPs…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Battery life estimation is critical for optimizing battery performance and guaranteeing minimal degradation for better efficiency and reliability of battery-powered systems. The existing methods to predict the Remaining Useful Life(RUL) of…

机器学习 · 计算机科学 2024-08-15 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

系统与控制 · 计算机科学 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Within the past two decades, Gaussian process regression has been increasingly used for modeling dynamical systems due to some beneficial properties such as the bias variance trade-off and the strong connection to Bayesian mathematics. As…

系统与控制 · 电气工程与系统科学 2021-02-11 Thomas Beckers

Gaussian Processes (GPs) can be used as flexible, non-parametric function priors. Inspired by the growing body of work on Normalizing Flows, we enlarge this class of priors through a parametric invertible transformation that can be made…

机器学习 · 计算机科学 2021-02-26 Juan Maroñas , Oliver Hamelijnck , Jeremias Knoblauch , Theodoros Damoulas

This tutorial provides a systematic introduction to Gaussian process learning-based model predictive control (GP-MPC), an advanced approach integrating Gaussian process (GP) with model predictive control (MPC) for enhanced control in…

机器人学 · 计算机科学 2024-04-08 Jie Wang , Youmin Zhang

We introduce a stochastic variational inference procedure for training scalable Gaussian process (GP) models whose per-iteration complexity is independent of both the number of training points, $n$, and the number basis functions used in…

机器学习 · 统计学 2020-06-05 Trefor W. Evans , Prasanth B. Nair

The accurate predictions and principled uncertainty measures provided by GP regression incur O(n^3) cost which is prohibitive for modern-day large-scale applications. This has motivated extensive work on computationally efficient…

机器学习 · 统计学 2023-12-29 Robert Allison , Anthony Stephenson , Samuel F , Edward Pyzer-Knapp

Accurate determination of fuel properties of complex mixtures over a wide range of pressure and temperature conditions is essential to utilizing alternative fuels. The present work aims to construct cheap-to-compute machine learning (ML)…

To enable closed form conditioning, a common assumption in Gaussian process (GP) regression is independent and identically distributed Gaussian observation noise. This strong and simplistic assumption is often violated in practice, which…

机器学习 · 统计学 2024-06-04 Matias Altamirano , François-Xavier Briol , Jeremias Knoblauch

Gaussian Process (GP) regression models typically assume that residuals are Gaussian and have the same variance for all observations. However, applications with input-dependent noise (heteroscedastic residuals) frequently arise in practice,…

机器学习 · 统计学 2012-12-27 Chunyi Wang , Radford M. Neal

Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Ying Hung , William Rittase , Cheng Zhu , C. F. Jeff Wu
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