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In this paper we introduce a novel framework for making exact nonparametric Bayesian inference on latent functions, that is particularly suitable for Big Data tasks. Firstly, we introduce a class of stochastic processes we refer to as…

机器学习 · 统计学 2016-08-22 Yves-Laurent Kom Samo , Stephen Roberts

We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

系统与控制 · 电气工程与系统科学 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

This paper considers a stochastic control framework, in which the residual model uncertainty of the dynamical system is learned using a Gaussian Process (GP). In the proposed formulation, the residual model uncertainty consists of a…

系统与控制 · 电气工程与系统科学 2023-05-26 Marcel Menner , Karl Berntorp

Reachability analysis is a widely used method to analyze the safety of a Human-in-the-Loop Cyber Physical System (HiLCPS). This strategy allows the HiLCPS to respond against an imminent threat in advance by predicting reachable states of…

系统与控制 · 电气工程与系统科学 2022-07-08 Joonwon Choi , Sooyung Byeon , Inseok Hwang

Traffic flow modeling relies heavily on fundamental diagrams. However, deterministic fundamental diagrams, such as single or multi-regime models, cannot capture the uncertainty pattern that underlies traffic flow. To address this…

应用统计 · 统计学 2024-11-25 Yuan-Zheng Lei , Yaobang Gong , Xianfeng Terry Yang

Noise-assisted transport phenomena highlight the nontrivial interplay between environmental effects and quantum coherence in achieving maximal efficiency. Due to the complexity of biochemical systems and their environments, effective open…

While much research effort has been dedicated to scaling up sparse Gaussian process (GP) models based on inducing variables for big data, little attention is afforded to the other less explored class of low-rank GP approximations that…

机器学习 · 统计学 2016-11-21 Quang Minh Hoang , Trong Nghia Hoang , Kian Hsiang Low

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

最优化与控制 · 数学 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

Multi-output Gaussian process (MGP) models have attracted significant attention for their flexibility and uncertainty-quantification capabilities, and have been widely adopted in multi-source transfer learning scenarios due to their ability…

机器学习 · 计算机科学 2025-12-12 Duo Wang , Xinming Wang , Chao Wang , Xiaowei Yue , Jianguo Wu

Optimal control of general nonlinear systems is a central challenge in automation. Enabled by powerful function approximators, data-driven approaches to control have recently successfully tackled challenging applications. However, such…

系统与控制 · 电气工程与系统科学 2023-06-21 Hany Abdulsamad , Jan Peters

In this article a flexible Bayesian non-parametric model is proposed for non-homogeneous hidden Markov models. The model is developed through the amalgamation of the ideas of hidden Markov models and predictor dependent stick-breaking…

统计方法学 · 统计学 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick

Accurately predicting and inferring a driver's decision to brake is critical for designing warning systems and avoiding collisions. In this paper we focus on predicting a driver's intent to brake in car-following scenarios from a…

机器学习 · 计算机科学 2018-01-16 Wenshuo Wang , Junqiang Xi , Ding Zhao

We introduce a rigorous framework for stochastic cell transmission models for general traffic networks. The performance of traffic systems is evaluated based on preference functionals and acceptable designs. The numerical implementation…

机器学习 · 计算机科学 2023-04-25 Zachary Feinstein , Marcel Kleiber , Stefan Weber

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

Gaussian graphical models provide a powerful framework for studying conditional dependencies in multivariate data, with widespread applications spanning biomedical, environmental sciences, and other data-rich scientific domains. While the…

统计方法学 · 统计学 2026-01-13 The Tien Mai , Sayantan Banerjee

Personalized driver models play a key role in the development of advanced driver assistance systems and automated driving systems. Traditionally, physical-based driver models with fixed structures usually lack the flexibility to describe…

系统与控制 · 计算机科学 2017-03-13 Wenshuo Wang , Ding Zhao , Junqiang Xi , David J. LeBlanc , J. Karl Hedrick

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

系统与控制 · 电气工程与系统科学 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

The empirical Bayes (EB) method based on parametric statistical models such as the negative binomial (NB) has been widely used for ranking sites in road network safety screening process. This paper is the continuation of the authors…

机器学习 · 计算机科学 2021-12-21 Mohammad Zarei , Bruce Hellinga , Pedram Izadpanah

We propose a Stochastic MPC (SMPC) formulation for autonomous driving at traffic intersections which incorporates multi-modal predictions of surrounding vehicles for collision avoidance constraints. The multi-modal predictions are obtained…

系统与控制 · 电气工程与系统科学 2022-03-01 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Chris Meissen , H. Eric Tseng , Francesco Borrelli

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

机器学习 · 计算机科学 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe