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Getting a labeling of vertices close to the structure of the graph has been proved to be of interest in many applications e.g., to follow smooth signals indexed by the vertices of the network. This question can be related to a graph…

Discrete Mathematics · Computer Science 2015-02-17 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Accurate and reliable bus travel time prediction in real-time is essential for improving the operational efficiency of public transportation systems. However, this remains a challenging task due to the limitations of existing models and…

Applications · Statistics 2025-03-11 Yuran Sun , James Spall , Wai Wong , Xilei Zhao

This paper presents a neural-enhanced probabilistic model and corresponding factor graph-based sum-product algorithm for robust localization and tracking in multipath-prone environments. The introduced hybrid probabilistic model consists of…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Alexander Venus , Erik Leitinger , Stefan Tertinek , Klaus Witrisal

Real-time traffic state estimation is essential for intelligent transportation systems. The NeurIPS 2022 Traffic4cast challenge provides an excellent testbed for benchmarking short-term traffic state estimation approaches. This technical…

Machine Learning · Computer Science 2023-02-22 Yichao Lu

Compute and memory constraints have historically prevented traffic simulation software users from fully utilizing the predictive models underlying them. When calibrating car-following models, particularly, accommodations have included 1)…

Machine Learning · Statistics 2019-08-08 Franklin Abodo , Andrew Berthaume , Stephen Zitzow-Childs , Leonardo Bobadilla

Graphs have been commonly used to model many applications. A natural problem which abstracts applications such as itinerary planning, playlist recommendation, and flow analysis in information networks is that of finding the heaviest path(s)…

Databases · Computer Science 2015-03-19 Mohammad Khabbaz , Smriti Bhagat , Laks V. S. Lakshmanan

As one of the fundamental graph operations, reachability queries processing has been extensively studied during the past decades. Many approaches followed the line of designing 2-hop labels to make acceleration. Considering that the index…

Databases · Computer Science 2022-03-08 Junfeng Zhou , Xian Tang , Ming Du

Production systems use heuristics because they are faster or scale better than their optimal counterparts. Yet, practitioners are often unaware of the performance gap between a heuristic and the optimum or between two heuristics in…

Networking and Internet Architecture · Computer Science 2023-11-22 Pooria Namyar , Behnaz Arzani , Ryan Beckett , Santiago Segarra , Himanshu Raj , Umesh Krishnaswamy , Ramesh Govindan , Srikanth Kandula

While POMDPs provide a general platform for non-deterministic conditional planning under a variety of quality metrics they have limited scalability. On the other hand, non-deterministic conditional planners scale very well, but many lack…

Artificial Intelligence · Computer Science 2012-07-09 Daniel Bryce , Subbarao Kambhampati

We study the approximability of the maximum size independent set (MIS) problem in bounded degree graphs. This is one of the most classic and widely studied NP-hard optimization problems. We focus on the well known minimum degree greedy…

Data Structures and Algorithms · Computer Science 2020-02-03 Piotr Krysta , Mathieu Mari , Nan Zhi

We investigate the statistical properties of cut sizes generated by heuristic algorithms which solve approximately the graph bisection problem. On an ensemble of sparse random graphs, we find empirically that the distribution of the cut…

Statistical Mechanics · Physics 2007-05-23 G. R. Schreiber , O. C. Martin

Greedy best-first search (GBFS) and A* search (A*) are popular algorithms for path-finding on large graphs. Both use so-called heuristic functions, which estimate how close a vertex is to the goal. While heuristic functions have been…

Machine Learning · Computer Science 2022-05-25 Shinsaku Sakaue , Taihei Oki

Conflict-Based Search (CBS) is a popular multi-agent path finding (MAPF) solver that employs a low-level single agent planner and a high-level constraint tree to resolve conflicts. The vast majority of modern MAPF solvers focus on improving…

Artificial Intelligence · Computer Science 2024-03-26 Rishi Veerapaneni , Tushar Kusnur , Maxim Likhachev

Shortest path computation is one of the most fundamental operations for managing and analyzing large social networks. Though existing techniques are quite effective for finding the shortest path on large but sparse road networks, social…

Social and Information Networks · Computer Science 2013-05-03 Ruoming Jin , Ning Ruan , Bo You , Haixun Wang

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

The concept of Reload cost in a graph refers to the cost that occurs while traversing a vertex via two of its incident edges. This cost is uniquely determined by the colors of the two edges. This concept has various applications in…

Computational Complexity · Computer Science 2019-02-07 Julien Baste , Didem Gözüpek , Mordechai Shalom , Dimitrios M. Thilikos

A $k$-truss is an edge-induced subgraph $H$ such that each of its edges belongs to at least $k-2$ triangles of $H$. This notion has been introduced around ten years ago in social network analysis and security, as a form of cohesive subgraph…

Data Structures and Algorithms · Computer Science 2020-10-05 Alessio Conte , Roberto Grossi , Andrea Marino , Luca Versari

For an edge-weighted connected undirected graph, the minimum $k$-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into $k$ connected components. The problem is NP-hard when $k$ is part…

Data Structures and Algorithms · Computer Science 2008-11-25 Mingyu Xiao , Leizhen Cai , Andrew C. Yao

Heuristic search algorithms, e.g. A*, are the commonly used tools for pathfinding on grids, i.e. graphs of regular structure that are widely employed to represent environments in robotics, video games etc. Instance-independent heuristics…

Artificial Intelligence · Computer Science 2022-12-23 Daniil Kirilenko , Anton Andreychuk , Aleksandr Panov , Konstantin Yakovlev

Risk assessment is a crucial component of collision warning and avoidance systems in intelligent vehicles. To accurately detect potential vehicle collisions, reachability-based formal approaches have been developed to ensure driving safety,…

Robotics · Computer Science 2023-06-02 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang
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