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Accurate learning of system dynamics is becoming increasingly crucial for advanced control and decision-making in engineering. However, real-world systems often exhibit multiple channels and highly nonlinear transition dynamics, challenging…

Machine Learning · Statistics 2025-10-20 Tengjie Zheng , Jilan Mei , Di Wu , Lin Cheng , Shengping Gong

Learning dynamical models from data is not only fundamental but also holds great promise for advancing principle discovery, time-series prediction, and controller design. Among various approaches, Gaussian Process State-Space Models…

Machine Learning · Computer Science 2025-10-20 Tengjie Zheng , Haipeng Chen , Lin Cheng , Shengping Gong , Xu Huang

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…

Machine Learning · Statistics 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

This paper presents a novel approach for approximate integration over the uncertainty of noise and signal variances in Gaussian process (GP) regression. Our efficient and straightforward approach can also be applied to integration over…

Machine Learning · Statistics 2017-12-18 Ville Tolvanen , Pasi Jylänki , Aki Vehtari

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

Trajectory optimization methods for motion planning attempt to generate trajectories that minimize a suitable objective function. Such methods efficiently find solutions even for high degree-of-freedom robots. However, a globally optimal…

Robotics · Computer Science 2019-07-18 Luka Petrović , Juraj Peršić , Marija Seder , Ivan Marković

To address the scalability limitations of Gaussian process (GP) regression, several approximation techniques have been proposed. One such method is based on tensor networks, which utilizes an exponential number of basis functions without…

Machine Learning · Statistics 2025-12-03 Albert Saiapin , Kim Batselier

We present in this paper a method to estimate urban traffic state with communicating vehicles. Vehicles moving on the links of the urban road network form queues at the traffic lights. We assume that a proportion of vehicles are equipped…

Systems and Control · Computer Science 2020-02-28 Cyril Nguyen Van Phu , Nadir Farhi

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

This paper leverages macroscopic models and multi-source spatiotemporal data collected from automatic traffic counters and probe vehicles to accurately estimate traffic flow and travel time in links where these measurements are unavailable.…

Machine Learning · Computer Science 2024-01-31 Pablo Guarda , Sean Qian

Urban traffic state estimation is pivotal in furnishing precise and reliable insights into traffic flow characteristics, thereby enabling efficient traffic management. Traditional traffic estimation methodologies have predominantly hinged…

Signal Processing · Electrical Eng. & Systems 2023-09-01 Yunfei Zhang , Mario Ilic , Klaus Bogenberger

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Computer Science 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Statistics 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Real-time traffic volume inference is key to an intelligent city. It is a challenging task because accurate traffic volumes on the roads can only be measured at certain locations where sensors are installed. Moreover, the traffic evolves…

Machine Learning · Computer Science 2019-02-26 Xianfeng Tang , Boqing Gong , Yanwei Yu , Huaxiu Yao , Yandong Li , Haiyong Xie , Xiaoyu Wang

Traffic state estimation (TSE) falls methodologically into three categories: model-driven, data-driven, and model-data dual-driven. Model-driven TSE relies on macroscopic traffic flow models originated from hydrodynamics. Data-driven TSE…

Machine Learning · Computer Science 2025-08-12 Hongxin Yu , Yibing Wang , Fengyue Jin , Meng Zhang , Anni Chen

We propose a method for learning constraints represented as Gaussian processes (GPs) from locally-optimal demonstrations. Our approach uses the Karush-Kuhn-Tucker (KKT) optimality conditions to determine where on the demonstrations the…

Robotics · Computer Science 2022-03-02 Glen Chou , Hao Wang , Dmitry Berenson

For autonomous mobile robots, uncertainties in the environment and system model can lead to failure in the motion planning pipeline, resulting in potential collisions. In order to achieve a high level of robust autonomy, these robots should…

Robotics · Computer Science 2024-02-05 Nicholas Mohammad , Jacob Higgins , Nicola Bezzo

Wireless traffic prediction is a fundamental enabler to proactive network optimisation in beyond 5G. Forecasting extreme demand spikes and troughs due to traffic mobility is essential to avoiding outages and improving energy efficiency.…

Signal Processing · Electrical Eng. & Systems 2019-11-04 Chengyao Sun , Weisi Guo

The Border Gateway Protocol (BGP) is a distributed protocol that manages interdomain routing without requiring a centralized record of which autonomous systems (ASes) connect to which others. Many methods have been devised to infer the AS…

Networking and Internet Architecture · Computer Science 2022-06-30 Kirtus G. Leyba , Joshua J. Daymude , Jean-Gabriel Young , M. E. J. Newman , Jennifer Rexford , Stephanie Forrest

We propose a statistical learning-based traffic speed estimation method that uses sparse vehicle trajectory information. Using a convolutional encoder-decoder based architecture, we show that a well trained neural network can learn…

Physics and Society · Physics 2020-06-15 Ouafa Benkraouda , Bilal Thonnam Thodi , Hwasoo Yeo , Monica Menendez , Saif Eddin Jabari
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