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How do pedestrians choose their paths within city street networks? Researchers have tried to shed light on this matter through strictly controlled experiments, but an ultimate answer based on real-world mobility data is still lacking. Here,…

Neurons and Cognition · Quantitative Biology 2021-10-26 Christian Bongiorno , Yulun Zhou , Marta Kryven , David Theurel , Alessandro Rizzo , Paolo Santi , Joshua Tenenbaum , Carlo Ratti

Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to global minimizers hinges on the discretization error induced…

Optimization and Control · Mathematics 2022-04-13 Ralf Borndörfer , Fabian Danecker , Martin Weiser

In this paper, we introduce and test our algorithm to create a road network representation for city-scale active transportation simulation models. The algorithm relies on open and universal data to ensure applicability for different cities…

Physics and Society · Physics 2021-10-14 Afshin Jafari , Alan Both , Dhirendra Singh , Lucy Gunn , Billie Giles-Corti

Increasing popularity of mobile route planning applications based on GPS technology provides opportunities for collecting traffic data in urban environments. One of the main challenges for travel time estimation and prediction in such a…

Artificial Intelligence · Computer Science 2015-08-11 Indre Zliobaite , Mikhail Khokhlov

Urban transportation systems are vulnerable to congestion, accidents, weather, special events, and other costly delays. Whereas typical policy responses prioritize reduction of delays under normal conditions to improve the efficiency of…

Physics and Society · Physics 2017-12-22 Alexander A. Ganin , Maksim Kitsak , Dayton Marchese , Jeffrey M. Keisler , Thomas Seager , Igor Linkov

The current paper deals with the subject of shortest path routing in transportation networks (in terms of travelling time), where the speed in several of the network's roads is a function of the time interval. The main contribution of the…

Data Structures and Algorithms · Computer Science 2016-01-08 Costas K. Constantinou , Georgios Ellinas , Christos Panayiotou , Marios Polycarpou

Design under uncertainty is a challenging problem, as a systems performance can be highly sensitive to variations in input parameters and model uncertainty. A conventional approach to addressing such problems is robust optimization, which…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Maryam Ghasemzadeh , H M Dilshad Alam Digonta , Anand Balu Nellippallil , Anton van Beek

We introduce a new approach to solving path-finding problems under uncertainty by representing them as probabilistic models and applying domain-independent inference algorithms to the models. This approach separates problem representation…

Artificial Intelligence · Computer Science 2015-06-09 David Tolpin , Brooks Paige , Jan Willem van de Meent , Frank Wood

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

Machine Learning · Computer Science 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

Many important computer vision applications are naturally formulated as regression problems. Within medical imaging, accurate regression models have the potential to automate various tasks, helping to lower costs and improve patient…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

Physics and Society · Physics 2018-05-15 Filippo Radicchi , Claudio Castellano

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

Discrete Mathematics · Computer Science 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

Estimating collision probabilities between robots and environmental obstacles or other moving agents is crucial to ensure safety during path planning. This is an important building block of modern planning algorithms in many application…

Robotics · Computer Science 2024-09-09 Felix Herrmann , Sebastian Zach , Jacopo Banfi , Jan Peters , Georgia Chalvatzaki , Davide Tateo

Motion planning under uncertainty is one of the main challenges in developing autonomous driving vehicles. In this work, we focus on the uncertainty in sensing and perception, resulted from a limited field of view, occlusions, and sensing…

Robotics · Computer Science 2021-10-05 Kasra Rezaee , Peyman Yadmellat , Simon Chamorro

Mitigating traffic congestion on urban roads, with paramount importance in urban development and reduction of energy consumption and air pollution, depends on our ability to foresee road usage and traffic conditions pertaining to the…

Physics and Society · Physics 2018-04-27 Jingyuan Wang , Yu Mao , Jing Li , Chao Li , Zhang Xiong , Wen-Xu Wang

A rise in popularity of Deep Neural Networks (DNNs), attributed to more powerful GPUs and widely available datasets, has seen them being increasingly used within safety-critical domains. One such domain, self-driving, has benefited from…

Machine Learning · Computer Science 2018-11-19 Rhiannon Michelmore , Marta Kwiatkowska , Yarin Gal

We study how to utilize (possibly erroneous) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. Our aim is to minimize the number of queries needed to solve the minimum spanning tree…

Data Structures and Algorithms · Computer Science 2022-07-01 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

Motion planners for mobile robots in unknown environments face the challenge of simultaneously maintaining both robustness against unmodeled uncertainties and persistent feasibility of the trajectory-finding problem. That is, while dealing…

Robotics · Computer Science 2021-07-15 Inkyu Jang , Dongjae Lee , Seungjae Lee , H. Jin Kim

In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

Computational Geometry · Computer Science 2025-06-24 Yannick Bosch , Sabine Storandt