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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

In this paper, we consider the motion planning problem in Gaussian belief space for minimum sensing navigation. Despite the extensive use of sampling-based algorithms and their rigorous analysis in the deterministic setting, there has been…

Robotics · Computer Science 2023-06-02 Vrushabh Zinage , Ali Reza Pedram , Takashi Tanaka

Accurate forecasting of bus ridership (passengers numbers) is crucial for efficient management and optimization of public transport systems. Traditional forecasting models often fail to capture the unique and localized dynamics of different…

Machine Learning · Computer Science 2026-05-04 Daniel Azenkot , Michael Fire , Eran Ben Elia

Variational inference methods for latent variable statistical models have gained popularity because they are relatively fast, can handle large data sets, and have deterministic convergence guarantees. However, in practice it is unclear…

Methodology · Statistics 2017-03-22 Hachem Saddiki , Andrew C. Trapp , Patrick Flaherty

A likelihood-free transport filtering method is proposed based on the couplings between state and observation variables. By exploiting a block-triangular structure in the transport map, the analysis step of filtering is reformulated as the…

Machine Learning · Statistics 2026-05-14 Dengfei Zeng , Lijian Jiang , Shuyu Sun , Dunhui Xiao

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

We present a novel probabilistic clustering model for objects that are represented via pairwise distances and observed at different time points. The proposed method utilizes the information given by adjacent time points to find the…

Machine Learning · Computer Science 2015-04-16 Julia E. Vogt , Marius Kloft , Stefan Stark , Sudhir S. Raman , Sandhya Prabhakaran , Volker Roth , Gunnar Rätsch

Transportation companies and organizations routinely collect huge volumes of passenger transportation data. By aggregating these data (e.g., counting the number of passengers going from a place to another in every 30 minute interval), it…

Databases · Computer Science 2023-10-16 Chrysanthi Kosyfaki , Nikos Mamoulis , Reynold Cheng , Ben Kao

For reliable operation on urban roads, navigation using the Global Navigation Satellite System (GNSS) requires both accurately estimating the positioning detail from GNSS pseudorange measurements and determining when the estimated position…

Robotics · Computer Science 2021-10-26 Shubh Gupta , Grace X. Gao

This paper proposes a novel approach for detecting groups of people that walk "together" (group mobility) as well as the people who walk "alone" (individual movements) using wireless signals. We exploit multiple wireless sniffers to…

Networking and Internet Architecture · Computer Science 2018-08-06 Gürkan Solmaz , Fang-Jing Wu

There is an increase in interest to model driving maneuver patterns via the automatic unsupervised clustering of naturalistic sequential kinematic driving data. The patterns learned are often used in transportation research areas such as…

Machine Learning · Statistics 2023-11-14 Matthew Aguirre , Wenbo Sun , Jionghua , Jin , Yang Chen

We study the statistical distribution of the closest encounter between observations computed along different trajectories of a mixing dynamical system. At the limit of large trajectories, the distribution is of Gumbel type and depends on…

Dynamical Systems · Mathematics 2021-04-29 Théophile Caby

Gaussian mixture models (GMM) are the most widely used statistical model for the $k$-means clustering problem and form a popular framework for clustering in machine learning and data analysis. In this paper, we propose a natural semi-random…

Data Structures and Algorithms · Computer Science 2017-11-27 Pranjal Awasthi , Aravindan Vijayaraghavan

Mobile on-body sensing has distinct advantages for the analysis and understanding of crowd dynamics: sensing is not geographically restricted to a specific instrumented area, mobile phones offer on-body sensing and they are already deployed…

Physics and Society · Physics 2011-09-09 Daniel Roggen , Martin Wirz , Gerhard Tröster , Dirk Helbing

Understanding human mobility is essential for many fields, including transportation planning. Currently, surveys are the primary source for such analysis. However, in the recent past, many researchers have focused on Call Detail Records…

Machine Learning · Computer Science 2021-08-23 Buddhi Ayesha , Bhagya Jeewanthi , Charith Chitraranjan , Amal Shehan Perera , Amal S. Kumarage

We present an optimal mass transport framework on the space of Gaussian mixture models, which are widely used in statistical inference. Our method leads to a natural way to compare, interpolate and average Gaussian mixture models.…

Probability · Mathematics 2018-02-01 Yongxin Chen , Tryphon T. Georgiou , Allen Tannenbaum

Design and simulation of future mobile networks will center around human interests and behavior. We propose a design paradigm for mobile networks driven by realistic models of users' on-line behavior, based on mining of billions of…

Networking and Internet Architecture · Computer Science 2010-05-31 Saeed Moghaddam , Ahmed Helmy , Sanjay Ranka , Manas Somaiya

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

Real-time navigation services, such as Google Maps and Waze, are widely used in daily life. These services provide rich data resources in real-time traffic conditions and travel time predictions; however, they have not been fully applied in…

Systems and Control · Computer Science 2018-11-06 Xilei Zhao , James C. Spall

Understanding and modeling human mobility is central to challenges in transport planning, sustainable urban design, and public health. Despite decades of effort, simulating individual mobility remains challenging because of its complex,…

Physics and Society · Physics 2026-02-10 Ye Hong , Yatao Zhang , Konrad Schindler , Martin Raubal
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