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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

Traffic flow prediction is an important research issue for solving the traffic congestion problem in an Intelligent Transportation System (ITS). Traffic congestion is one of the most serious problems in a city, which can be predicted in…

Artificial Intelligence · Computer Science 2017-09-26 Yuanfang Chen , Mohsen Guizani , Yan Zhang , Lei Wang , Noel Crespi , Gyu Myoung Lee

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

Machine Learning · Computer Science 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

The complex spatial-temporal correlations in transportation networks make the traffic forecasting problem challenging. Since transportation system inherently possesses graph structures, many research efforts have been put with graph neural…

Machine Learning · Computer Science 2024-03-22 Yuyol Shin , Yoonjin Yoon

When the dynamics of systems are unknown, supervised machine learning techniques are commonly employed to infer models from data. Gaussian process (GP) regression is a particularly popular learning method for this purpose due to the…

Systems and Control · Electrical Eng. & Systems 2023-05-16 Xiaobing Dai , Armin Lederer , Zewen Yang , Sandra Hirche

Gaussian processes (GPs) are commonplace in spatial statistics. Although many non-stationary models have been developed, there is arguably a lack of flexibility compared to equipping each location with its own parameters. However, the…

Machine Learning · Statistics 2018-07-19 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

This paper presents a Gaussian process (GP) model for estimating piecewise continuous regression functions. In scientific and engineering applications of regression analysis, the underlying regression functions are piecewise continuous in…

Methodology · Statistics 2021-04-15 Chiwoo Park

The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, is often…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Thomas Beckers , Sandra Hirche

Recent statistical methods fitted on large-scale GPS data can provide accurate estimations of the expected travel time between two points. However, little is known about the distribution of travel time, which is key to decision-making…

Methodology · Statistics 2023-03-21 Mohamad Elmasri , Aurelie Labbe , Denis Larocque , Laurent Charlin

Motion prediction for intelligent vehicles typically focuses on estimating the most probable future evolutions of a traffic scenario. Estimating the gap acceptance, i.e., whether a vehicle merges or crosses before another vehicle with the…

Robotics · Computer Science 2024-09-18 Max Bastian Mertens , Jona Ruof , Jan Strohbeck , Michael Buchholz

The accurate prediction of time-changing variances is an important task in the modeling of financial data. Standard econometric models are often limited as they assume rigid functional relationships for the variances. Moreover, function…

Methodology · Statistics 2014-02-14 Yue Wu , Jose Miguel Hernandez Lobato , Zoubin Ghahramani

According to several reports published by worldwide organisations, thousands of pedestrians die in road accidents every year. Due to this fact, vehicular technologies have been evolving with the intent of reducing these fatalities. This…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Raul Quintero , Ignacio Parra , David Fernandez Llorca , Miguel Angel Sotelo

Non-conjugate Gaussian processes (NCGPs) define a flexible probabilistic framework to model categorical, ordinal and continuous data, and are widely used in practice. However, exact inference in NCGPs is prohibitively expensive for large…

Machine Learning · Computer Science 2025-04-18 Lukas Tatzel , Jonathan Wenger , Frank Schneider , Philipp Hennig

Traffic congestion at a signalized intersection greatly reduces the travel time reliability in urban areas. Adaptive signal control system (ASCS) is the most advanced traffic signal technology that regulates the signal phasing and timings…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Gurcan Comert , Zadid Khan , Mizanur Rahman , Mashrur Chowdhury

Gaussian processes (GPs) are widely used in non-parametric Bayesian modeling, and play an important role in various statistical and machine learning applications. In a variety tasks of uncertainty quantification, generating random sample…

Computation · Statistics 2024-08-02 Haoyuan Chen , Rui Tuo

In this paper, a new practice-ready method for the real-time estimation of traffic conditions and travel times on highways is introduced. First, after a principal component analysis, observation days of a historical dataset are clustered.…

Physics and Society · Physics 2020-11-13 Nicolas Chiabaut , Rémi Faitout

Public special events, like sports games, concerts and festivals are well known to create disruptions in transportation systems, often catching the operators by surprise. Although these are usually planned well in advance, their impact is…

Machine Learning · Statistics 2018-12-21 Filipe Rodrigues , Stanislav S. Borysov , Bernardete Ribeiro , Francisco C. Pereira

Traffic state prediction in a transportation network is paramount for effective traffic operations and management, as well as informed user and system-level decision-making. However, long-term traffic prediction (beyond 30 minutes into the…

Machine Learning · Computer Science 2022-11-08 Bin Lei , Shaoyi Huang , Caiwen Ding , Monika Filipovska

Traffic state estimation (TSE) becomes challenging when probe-vehicle penetration is low and observations are spatially sparse. Pure data-driven methods lack physical explanations and have poor generalization when observed data is sparse.…

Machine Learning · Computer Science 2025-12-04 Yanlin Chen , Kehua Chen , Yinhai Wang

Traffic congestion at intersections is a significant issue in urban areas, leading to increased commute times, safety hazards, and operational inefficiencies. This study aims to develop a predictive model for congestion at intersections in…

Machine Learning · Computer Science 2024-11-28 Tara Kelly , Jessica Gupta
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