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Gaussian process (GP) regression provides a flexible, nonparametric framework for probabilistic modeling, yet remains computationally demanding in large-scale applications. For one-dimensional data, state space (SS) models achieve…

Machine Learning · Statistics 2025-11-07 Liang Ding , Rui Tuo , Lu Zhou

We introduce a novel formulation of motion planning, for continuous-time trajectories, as probabilistic inference. We first show how smooth continuous-time trajectories can be represented by a small number of states using sparse Gaussian…

Robotics · Computer Science 2018-11-26 Mustafa Mukadam , Jing Dong , Xinyan Yan , Frank Dellaert , Byron Boots

Detecting small planets via the radial velocity method remains challenged by signals induced by stellar variability, versus the effects of the planet(s). Here, we explore using Gaussian Process (GP) regression with Transiting Exoplanet…

A key challenge with controlling complex dynamical systems is to accurately model them. However, this requirement is very hard to satisfy in practice. Data-driven approaches such as Gaussian processes (GPs) have proved quite effective by…

Robotics · Computer Science 2022-03-08 Mouhyemen Khan , Akash Patel , Abhijit Chatterjee

This paper introduces Gaussian Spatial Transport (GST), a novel framework that leverages Gaussian splatting to facilitate transport from the probability measure in the image coordinate space to the annotation map. We propose a Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Miao Shang , Xiaopeng Hong

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

Gaussian Process Motion Planning (GPMP) is a widely used framework for generating smooth trajectories within a limited compute time--an essential requirement in many robotic applications. However, traditional GPMP approaches often struggle…

Robotics · Computer Science 2025-04-08 Jiayun Li , Kay Pompetzki , An Thai Le , Haolei Tong , Jan Peters , Georgia Chalvatzaki

It is meaningful to detect outliers in traffic data for traffic management. However, this is a massive task for people from large-scale database to distinguish outliers. In this paper, we present two methods: Kernel Smoothing Na\"ive Bayes…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Philip Lam , Lili Wang , Henry Y. T. Ngan , Nelson H. C. Yung , Anthony G. O. Yeh

The use of Gaussian processes (GPs) as models for astronomical time series datasets has recently become almost ubiquitous, given their ease of use and flexibility. GPs excel in particular at marginalization over the stellar signal in cases…

Solar and Stellar Astrophysics · Physics 2021-09-08 Rodrigo Luger , Daniel Foreman-Mackey , Christina Hedges

Mobility-on-demand (MoD) systems have recently emerged as a promising paradigm of one-way vehicle sharing for sustainable personal urban mobility in densely populated cities. In this paper, we enhance the capability of a MoD system by…

Robotics · Computer Science 2013-06-07 Jie Chen , Kian Hsiang Low , Colin Keng-Yan Tan

We present an advanced interpolation method for estimating smooth spatiotemporal profiles for local highway traffic variables such as flow, speed and density. The method is based on stationary detector data as typically collected by traffic…

Data Analysis, Statistics and Probability · Physics 2011-08-25 Martin Treiber , Arne Kesting , R. Eddie Wilson

Accurate and reliable prediction of traffic measurements plays a crucial role in the development of modern intelligent transportation systems. Due to more complex road geometries and the presence of signal control, arterial traffic…

Machine Learning · Computer Science 2024-10-30 Victor Chan , Qijian Gan , Alexandre Bayen

Gaussian processes (GPs) provide a nonparametric representation of functions. However, classical GP inference suffers from high computational cost and it is difficult to design nonstationary GP priors in practice. In this paper, we propose…

Machine Learning · Computer Science 2013-03-15 Yuan Qi , Bo Dai , Yao Zhu

Continuous-time batch state estimation using Gaussian processes is an efficient approach to estimate the trajectories of robots over time. In the past, relatively simple physics-motivated priors have been considered for such approaches,…

Robotics · Computer Science 2025-06-04 Sven Lilge , Timothy D. Barfoot

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

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

Encrypted network traffic poses significant challenges for intrusion detection due to the lack of payload visibility, limited labeled datasets, and high class imbalance between benign and malicious activities. Traditional data augmentation…

Cryptography and Security · Computer Science 2026-01-06 Saravanan A , Aswani Kumar Cherukuri

Traffic forecasting is a particularly challenging application of spatiotemporal forecasting, due to the time-varying traffic patterns and the complicated spatial dependencies on road networks. To address this challenge, we learn the traffic…

Machine Learning · Computer Science 2019-11-06 Zhiyong Cui , Kristian Henrickson , Ruimin Ke , Ziyuan Pu , Yinhai Wang

The analysis of GPS trajectories is a well-studied problem in Urban Computing and has been used to track people. Analyzing people mobility and identifying the transportation mode used by them is essential for cities that want to reduce…

Machine Learning · Computer Science 2020-07-20 I. Cardoso-Pereira , J. B. Borges , P. H. Barros , A. F. Loureiro , O. A. Rosso , H. S. Ramos

This study focuses on the challenge of predicting network traffic within complex topological environments. It introduces a spatiotemporal modeling approach that integrates Graph Convolutional Networks (GCN) with Gated Recurrent Units (GRU).…

Machine Learning · Computer Science 2025-05-13 Nan Jiang , Wenxuan Zhu , Xu Han , Weiqiang Huang , Yumeng Sun