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This paper studies efficient distributed optimization methods for multi-agent networks. Specifically, we consider a convex optimization problem with a globally coupled linear equality constraint and local polyhedra constraints, and develop…

Systems and Control · Computer Science 2016-11-15 Tsung-Hui Chang

Recently we submitted a paper, whose title is A New Fast Unweighted All-pairs Shortest Path Search Algorithm Based on Pruning by Shortest Path Trees, to arXiv. This is related to unweighted graphs. This paper also presents a new fast…

Data Structures and Algorithms · Computer Science 2019-08-20 Yasuo Yamane , Kenichi Kobayashi

In multi-agent applications such as surveillance and logistics, fleets of mobile agents are often expected to coordinate and safely visit a large number of goal locations as efficiently as possible. The multi-agent planning problem in these…

Robotics · Computer Science 2021-11-09 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Smart city has been consider the wave of the future and the route recommendation in networks is a fundamental problem in it. Most existing approaches for the shortest route problem consider that there is only one kind of cost in networks.…

Databases · Computer Science 2020-04-28 Yajun Yang , Hang Zhang , Hong Gao , Qinghua Hu , Xin Wang

We present a novel application of a recently-proposed matrix-parametrized proximal splitting method to sensor network localization, the problem of estimating the locations of a set of sensors using only noisy pairwise distance information…

Optimization and Control · Mathematics 2025-03-18 Peter Barkley , Robert L. Bassett

We present an algorithm for a fault tolerant Depth First Search (DFS) Tree in an undirected graph. This algorithm is drastically simpler than the current state-of-the-art algorithms for this problem, uses optimal space and optimal…

Data Structures and Algorithms · Computer Science 2019-03-28 Surender Baswana , Shiv Kumar Gupta , Ayush Tulsyan

We introduce a generalization of the linearized Alternating Direction Method of Multipliers to optimize a real-valued function $f$ of multiple arguments with potentially multiple constraints $g_\circ$ on each of them. The function $f$ may…

Optimization and Control · Mathematics 2019-01-28 Fred Moolekamp , Peter Melchior

Distributed cooperative localization in wireless networks is a challenging problem since it typically requires solving a large-scale nonconvex and nonsmooth optimization problem. In this paper, we reformulate the classic cooperative…

Optimization and Control · Mathematics 2023-08-08 Mei Zhang , Zhiguo Wang , Feng Yin , Xiaojing Shen

We consider the problem of minimizing the sum of a convex function and a convex function composed with an injective linear mapping. For such problems, subject to a coercivity condition at fixed points of the corresponding Picard iteration,…

Optimization and Control · Mathematics 2018-02-07 Timo Aspelmeier , C. Charitha , D. Russell Luke

In this paper, we study the problem of coverage planning by a mobile robot with a limited energy budget. The objective of the robot is to cover every point in the environment while minimizing the traveled path length. The environment is…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Gokarna Sharma

We study two generalizations of classic clustering problems called dynamic ordered $k$-median and dynamic $k$-supplier, where the points that need clustering evolve over time, and we are allowed to move the cluster centers between…

Data Structures and Algorithms · Computer Science 2022-07-26 Shichuan Deng , Jian Li , Yuval Rabani

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

A straightforward dynamic programming method for the single-source shortest paths problem (SSSP) in an edge-weighted directed acyclic graph (DAG) processes the vertices in a topologically sorted order. First, we similarly iterate this…

Data Structures and Algorithms · Computer Science 2021-08-10 Andrzej Lingas , Mia Persson , Dzmitry Sledneu

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

Optimization and Control · Mathematics 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen

Motion planning in the presence of multiple dynamic obstacles is an important research problem from the perspective of autonomous vehicles as well as space-constrained multi-robot work environment. In this paper, we address the motion…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Trishant Roy , Anindya Harchowdhury , Leena Vachhani

Shortest path computation is a fundamental problem in road networks. However, in many real-world scenarios, determining solely the shortest path is not enough. In this paper, we study the problem of finding k-Dissimilar Paths with Minimum…

Data Structures and Algorithms · Computer Science 2018-10-25 Theodoros Chondrogiannis , Panagiotis Bouros , Johann Gamper , Ulf Leser , David B. Blumenthal

We present a simplified algorithm for solving the Negative-Weight Single-Source Shortest Paths (SSSP) problem, focusing on enhancing clarity and practicality over prior methods. Our algorithm uses graph diameter as a recursive parameter,…

Data Structures and Algorithms · Computer Science 2024-12-02 Jason Li , Connor Mowry

Multi-Agent Path Finding (MAPF) is a problem of finding a sequence of movements for agents to reach their assigned location without collision. Centralized algorithms usually give optimal solutions, but have difficulties to scale without…

Multiagent Systems · Computer Science 2021-09-20 Poom Pianpak , Tran Cao Son

The recently-proposed generic Dijkstra algorithm finds shortest paths in networks with continuous and contiguous resources. While the algorithm was proposed in the context of optical networks (and is applicable to other networks with finite…

Networking and Internet Architecture · Computer Science 2026-03-04 Ireneusz Szcześniak , Bożena Woźna-Szcześniak , Ireneusz Olszewski

We give a deterministic $O(m\log^{2/3}n)$-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition model. This is the first result to break the $O(m+n\log n)$…

Data Structures and Algorithms · Computer Science 2025-07-31 Ran Duan , Jiayi Mao , Xiao Mao , Xinkai Shu , Longhui Yin