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In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric…

系统与控制 · 电气工程与系统科学 2020-04-17 Parikshit Pareek , Hung D. Nguyen

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf

This paper focuses on distributed learning-based control of decentralized multi-agent systems where the agents' dynamics are modeled by Gaussian Processes (GPs). Two fundamental problems are considered: the optimal design of experiment for…

系统与控制 · 电气工程与系统科学 2021-04-06 Viet-Anh Le , Truong X. Nghiem

This paper investigates the design of self-triggered controllers for networked control systems (NCSs), where the dynamics of the plant is \textit{unknown} apriori. To deal with the unknown transition dynamics, we employ the Gaussian process…

系统与控制 · 电气工程与系统科学 2020-03-10 Kazumune Hashimoto , Yuichi Yoshimura , Toshimitsu Ushio

We introduce an ensemble learning method based on Gaussian Process Regression (GPR) for predicting conditional expected stock returns given stock-level and macro-economic information. Our ensemble learning approach significantly reduces the…

风险管理 · 定量金融 2026-03-10 Damir Filipović , Puneet Pasricha

The increasing penetration of renewable energy resources and utilization of energy storage systems pose new challenges in maintaining power system's stability. Specifically, the cost function of regulation no longer remains smooth, which…

最优化与控制 · 数学 2023-11-27 Yifan Wang , Shuai Liu , Xianghui Cao , Mo-Yuen Chow

This work presents a novel method for extracting potential barrier distributions from experimental fusion cross sections. We utilize a simple Gaussian process regression (GPR) framework to model the observed cross sections as a function of…

核理论 · 物理学 2024-06-10 Kyle Godbey

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

Gaussian processes (GPs) are frequently used in machine learning and statistics to construct powerful models. However, when employing GPs in practice, important considerations must be made, regarding the high computational burden,…

统计计算 · 统计学 2021-03-08 Karla Monterrubio-Gómez , Sara Wade

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

Gaussian Processes (GP) are widely used for probabilistic modeling and inference for nonparametric regression. However, their computational complexity scales cubicly with the sample size rendering them unfeasible for large data sets. To…

统计理论 · 数学 2022-05-11 Amine Hadji , Tammo Hesselink , Botond Szabó

Trial-and-error based reinforcement learning (RL) has seen rapid advancements in recent times, especially with the advent of deep neural networks. However, the majority of autonomous RL algorithms require a large number of interactions with…

系统与控制 · 计算机科学 2018-02-23 Sanket Kamthe , Marc Peter Deisenroth

Model predictive control (MPC) is widely used in process control due to its interpretability and ability to handle constraints. As a parametric policy in reinforcement learning (RL), MPC offers strong initial performance and low data…

系统与控制 · 电气工程与系统科学 2026-04-03 Dean Brandner , Sebastien Gros , Sergio Lucia

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

机器学习 · 统计学 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

We present $\mathcal{L}_1$-$\mathcal{GP}$, an architecture based on $\mathcal{L}_1$ adaptive control and Gaussian Process Regression (GPR) for safe simultaneous control and learning. On one hand, the $\mathcal{L}_1$ adaptive control…

系统与控制 · 电气工程与系统科学 2020-05-01 Aditya Gahlawat , Pan Zhao , Andrew Patterson , Naira Hovakimyan , Evangelos A. Theodorou

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

Gaussian processes (GP) for machine learning have been studied systematically over the past two decades and they are by now widely used in a number of diverse applications. However, GP kernel design and the associated hyper-parameter…

机器学习 · 计算机科学 2020-10-28 Feng Yin , Lishuo Pan , Xinwei He , Tianshi Chen , Sergios Theodoridis , Zhi-Quan , Luo

We consider the accuracy of an approximate posterior distribution in nonparametric regression problems by combining posterior distributions computed on subsets of the data defined by the locations of the independent variables. We show that…

统计理论 · 数学 2025-04-29 Botond Szabo , Amine Hadji , Aad van der Vaart

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

系统与控制 · 电气工程与系统科学 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

最优化与控制 · 数学 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers