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Differential equations are important mechanistic models that are integral to many scientific and engineering applications. With the abundance of available data there has been a growing interest in data-driven physics-informed models.…

Machine Learning · Computer Science 2025-02-04 Oliver Hamelijnck , Arno Solin , Theodoros Damoulas

Traffic data serves as a fundamental component in both research and applications within intelligent transportation systems. However, real-world transportation data, collected from loop detectors or similar sources, often contains missing…

Machine Learning · Computer Science 2023-09-12 Zepu Wang , Dingyi Zhuang , Yankai Li , Jinhua Zhao , Peng Sun , Shenhao Wang , Yulin Hu

In this paper, we extend a famous motion planning approach GPMP2 to multi-robot cases, yielding a novel centralized trajectory generation method for the multi-robot formation. A sparse Gaussian Process model is employed to represent the…

Robotics · Computer Science 2021-08-02 Shuang Guo , Bo Liu , Shen Zhang , Jifeng Guo , Changhong Wang

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

Machine Learning · Computer Science 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

Accurate and reliable prediction has profound implications to a wide range of applications. In this study, we focus on an instance of spatio-temporal learning problem--traffic prediction--to demonstrate an advanced deep learning model…

Machine Learning · Computer Science 2024-08-27 Pingping Dong , Xiao-Lin Wang , Indranil Bose , Kam K. H. Ng , Xiaoning Zhang , Xiaoge Zhang

Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small relative to the session duration tail,…

Probability · Mathematics 2010-12-08 Luis Lopez-Oliveros , Sidney I. Resnick

One of the key challenges in revenue management is unconstraining demand data. Existing state of the art single-class unconstraining methods make restrictive assumptions about the form of the underlying demand and can perform poorly when…

Applications · Statistics 2017-11-30 Ilan Price , Jaroslav Fowkes , Daniel Hopman

Gaussian Processes (GPs) has experienced tremendous success in geoscience in general and for bio-geophysical parameter retrieval in the last years. GPs constitute a solid Bayesian framework to formulate many function approximation problems…

Gaussian Process (GP) regression is a flexible modeling technique used to predict outputs and to capture uncertainty in the predictions. However, the GP regression process becomes computationally intensive when the training spatial dataset…

Computation · Statistics 2024-09-19 Juliette Mukangango , Amanda Muyskens , Benjamin W. Priest

Network-wide traffic flow, which captures dynamic traffic volume on each link of a general network, is fundamental to smart mobility applications. However, the observed traffic flow from sensors is usually limited across the entire network…

Machine Learning · Computer Science 2025-02-07 Zijian Hu , Zhenjie Zheng , Monica Menendez , Wei Ma

Surrogate models are often used to replace costly-to-evaluate complex coastal codes to achieve substantial computational savings. In many of those models, the hydrometeorological forcing conditions (inputs) or flood events (outputs) are…

Machine Learning · Statistics 2021-11-04 A. F. López-Lopera , D. Idier , J. Rohmer , F. Bachoc

Gaussian processes (GPs) are widely used as surrogate models for emulating computer code, which simulate complex physical phenomena. In many problems, additional boundary information (i.e., the behavior of the phenomena along input…

Methodology · Statistics 2019-08-26 Liang Ding , Simon Mak , C. F. Jeff Wu

We propose a mobile crowdsourced sensors selection approach to improve the journey planning service especially in areas where no wireless or vehicular sensors are available. We develop a location estimation model of journey services based…

Computers and Society · Computer Science 2018-12-24 Ahmed Ben Said , Abdelkarim Erradi , Azadeh Ghari Neiat , Athman Bouguettaya

The transition to a smarter grid is empowered by enhanced sensor deployments and smart metering infrastructure in the distribution system. Measurements from these sensors and meters can be used for many applications, including distribution…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Shweta Dahale , Balasubramaniam Natarajan

The problem of traffic congestion not only causes a large amount of economic losses, but also seriously endangers the urban environment. Predicting traffic congestion has important practical significance. So far, most studies have been…

Machine Learning · Computer Science 2024-01-19 Zhengke Sun , Yuliang Ma

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

The problem of modeling and predicting spatiotemporal traffic phenomena over an urban road network is important to many traffic applications such as detecting and forecasting congestion hotspots. This paper presents a decentralized data…

Machine Learning · Computer Science 2012-06-29 Jie Chen , Kian Hsiang Low , Colin Keng-Yan Tan , Ali Oran , Patrick Jaillet , John M. Dolan , Gaurav S. Sukhatme

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

Machine Learning · Computer Science 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

Most optimal routing problems focus on minimizing travel time or distance traveled. Oftentimes, a more useful objective is to maximize the probability of on-time arrival, which requires statistical distributions of travel times, rather than…

We introduce a Bayesian model for estimating the distribution of ambulance travel times on each road segment in a city, using Global Positioning System (GPS) data. Due to sparseness and error in the GPS data, the exact ambulance paths and…

Applications · Statistics 2013-12-09 Bradford S. Westgate , Dawn B. Woodard , David S. Matteson , Shane G. Henderson