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The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

Data Structures and Algorithms · Computer Science 2016-01-08 Foad Lotfifar , Matthew Johnson

In this work we propose a batch version of the Greenkhorn algorithm for multimarginal regularized optimal transport problems. Our framework is general enough to cover, as particular cases, some existing algorithms like Sinkhorn and…

Machine Learning · Statistics 2021-12-07 Vladimir Kostic , Saverio Salzo , Massimilano Pontil

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. We take a novel approach, focusing on trips and transfers between them,…

Data Structures and Algorithms · Computer Science 2016-07-06 Sascha Witt

Microtransit offers opportunities to enhance urban mobility by combining the reliability of public transit and the flexibility of ride-sharing. This paper optimizes the design and operations of a deviated fixed-route microtransit system…

Optimization and Control · Mathematics 2025-06-12 Bernardo Martin-Iradi , Alexandria Schmid , Kayla Cummings , Alexandre Jacquillat

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Public transport routing plays a crucial role in transit network design, ensuring a satisfactory level of service for passengers. However, current routing solutions rely on traditional operational research heuristics, which can be…

Artificial Intelligence · Computer Science 2023-08-25 Nadav Shalit , Michael Fire , Dima Kagan , Eran Ben-Elia

This paper introduces a novel algorithm combination designed for fast one-to-many multicriteria shortest path search. A preprocessing algorithm excludes irrelevant vertices by building a smaller cover graph. A modified version of…

Data Structures and Algorithms · Computer Science 2022-02-01 Temirlan Kurbanov , Marek Cuchý , Jiří Vokřínek

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

In recent years, RAPTOR based algorithms have been considered the state-of-the-art for path-finding with unlimited transfers without preprocessing. However, this status largely stems from the evolution of routing research, where…

Data Structures and Algorithms · Computer Science 2026-05-27 Denys Katkalo , Andrii Rohovyi , Toby Walsh

Urban rail transit is a fundamental component of public transportation, however, commonly station-based path search algorithms often overlook the impact of transfer times on search results, leading to decreased accuracy. To solve this…

Computational Engineering, Finance, and Science · Computer Science 2024-03-05 Xiao Fang , Xuyang Song , Jiyuan Ma , Guanhua Liu , Shurong Pang , Wenbo Zhao , Cong Cao , Ling Fan

The sampling based motion planning algorithm known as Rapidly-exploring Random Trees (RRT) has gained the attention of many researchers due to their computational efficiency and effectiveness. Recently, a variant of RRT called RRT* has been…

Robotics · Computer Science 2017-03-28 Ahmed Hussain Qureshi , Yasar Ayaz

We propose a throughput-optimal biased backpressure (BP) algorithm for routing, where the bias is learned through a graph neural network that seeks to minimize end-to-end delay. Classical BP routing provides a simple yet powerful…

Signal Processing · Electrical Eng. & Systems 2022-11-22 Zhongyuan Zhao , Bojan Radojicic , Gunjan Verma , Ananthram Swami , Santiago Segarra

The rise of battery-powered vehicles has led to many new technical and methodological hurdles. Among these, the efficient planning of an electric fleet to fulfill passenger transportation requests still represents a major challenge. This is…

Optimization and Control · Mathematics 2023-02-07 Axel Parmentier , Rafael Martinelli , Thibaut Vidal

Hypergraph partitioning is an important preprocessing step for optimizing data placement and minimizing communication volumes in high-performance computing applications. To cope with ever growing problem sizes, it has become increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-15 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

We develop a fast and reliable method for solving large-scale optimal transport (OT) problems at an unprecedented combination of speed and accuracy. Built on the celebrated Douglas-Rachford splitting technique, our method tackles the…

Optimization and Control · Mathematics 2021-10-25 Vien V. Mai , Jacob Lindbäck , Mikael Johansson

Multi-topology routing (MTR) provides an attractive alternative to segment routing for traffic engineering when network devices cannot be upgraded. However, due to a high overhead in terms of link state messages exchanged by topologies and…

Networking and Internet Architecture · Computer Science 2024-01-10 Nicolas Huin , Sébastien Martin , Jérémie Leguay

Transfer learning has the potential to reduce the burden of data collection and to decrease the unavoidable risks of the training phase. In this letter, we introduce a multirobot, multitask transfer learning framework that allows a system…

Robotics · Computer Science 2018-04-04 Karime Pereida , Mohamed K. Helwa , Angela P. Schoellig

Partitioning a graph into balanced blocks such that few edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge graphs are streaming algorithms, which use low computational…

Data Structures and Algorithms · Computer Science 2022-02-02 Marcelo Fonseca Faraj , Christian Schulz

Ride-sharing is an essential aspect of modern urban mobility. In this paper, we consider a classical problem in ride-sharing - the Multi-Vehicle Dial-a-Ride Problem (Multi-Vehicle DaRP). Given a fleet of vehicles with a fixed capacity…

Data Structures and Algorithms · Computer Science 2023-04-25 Kelin Luo , Alexandre M. Florio , Syamantak Das , Xiangyu Guo

With the recent influx in demand for multi-robot systems throughout industry and academia, there is an increasing need for faster, robust, and generalizable path planning algorithms. Similarly, given the inherent connection between control…

Robotics · Computer Science 2024-01-23 Hussein Ali Jaafar , Cheng-Hao Kao , Sajad Saeedi