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The efficient management of large-scale queueing networks is critical for a variety of sectors, including healthcare, logistics, and customer service, where system performance has profound implications for operational effectiveness and cost…

Methodology · Statistics 2024-02-22 L. Jeff Hong , Yingda Song , Tan Wang

This letter proposes a novel continuous-time dynamic programming framework to determine when it is optimal for a pursuer to use MC amidst uncertainty in the evader's escape attempt time. We motivate this framework through the model problem…

Optimization and Control · Mathematics 2024-11-27 Mallory E. Gaspard

We study the Minimum Shared Edges problem introduced by Omran et al. [Journal of Combinatorial Optimization, 2015] on planar graphs: Planar MSE asks, given a planar graph G = (V,E), two distinct vertices s,t in V , and two integers p, k,…

Computational Complexity · Computer Science 2016-02-04 Till Fluschnik , Manuel Sorge

We introduce the concept of a Modular Autoencoder (MAE), capable of learning a set of diverse but complementary representations from unlabelled data, that can later be used for supervised tasks. The learning of the representations is…

Machine Learning · Computer Science 2015-11-24 Henry W J Reeve , Gavin Brown

Euclidean distance matrix optimization with ordinal constraints (EDMOC) has found important applications in sensor network localization and molecular conformation. It can also be viewed as a matrix formulation of multidimensional scaling,…

Optimization and Control · Mathematics 2020-06-23 Sitong Lu , Miao Zhang , Qingna Li

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

Mixed linear regression involves the recovery of two (or more) unknown vectors from unlabeled linear measurements; that is, where each sample comes from exactly one of the vectors, but we do not know which one. It is a classic problem, and…

Machine Learning · Statistics 2014-02-10 Xinyang Yi , Constantine Caramanis , Sujay Sanghavi

Colorization is an ambiguous problem, with multiple viable colorizations for a single grey-level image. However, previous methods only produce the single most probable colorization. Our goal is to model the diversity intrinsic to the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-28 Aditya Deshpande , Jiajun Lu , Mao-Chuang Yeh , Min Jin Chong , David Forsyth

This paper considers an M-pursuer N-evader scenario involving virtual targets. The virtual targets serve as an intermediary target for the pursuers, allowing the pursuers to delay their final assignment to the evaders. However, upon…

Optimization and Control · Mathematics 2023-12-21 Isaac E. Weintraub , Alexander Von Moll , David W. Casbeer , Satyanarayana G. Manyam

The unmanned aerial vehicle (UAV) based multi-access edge computing (MEC) appears as a popular paradigm to reduce task processing latency. However, the secure offloading is an important issue when occurring aerial eavesdropping. Besides,…

Emerging Technologies · Computer Science 2025-09-19 Can Cui , Ziye Jia , Jiahao You , Chao Dong , Qihui Wu , Han Zhu

We propose a generative model to detect globally optimal community structures in networks by utilizing random walks. Sophisticated parameter optimization algorithms are developed based on the Markov chain Monte Carlo methods to overcome…

Physics and Society · Physics 2020-12-02 Takafumi J. Suzuki

This paper addresses objectives tailored to the risk-averse optimization of accumulated rewards in Markov decision processes (MDPs). The studied objectives require maximizing the expected value of the accumulated rewards minus a penalty…

Logic in Computer Science · Computer Science 2024-07-10 Christel Baier , Jakob Piribauer , Maximilian Starke

Network interdiction problems are combinatorial optimization problems involving two players: one aims to solve an optimization problem on a network, while the other seeks to modify the network to thwart the first player's objectives. Such…

Artificial Intelligence · Computer Science 2026-04-21 Lei Zhang , Zhiqian Chen , Chang-Tien Lu , Liang Zhao

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this work, we use the deployment strategy for diagonal guards…

Robotics · Computer Science 2016-11-16 Guillermo J. Laguna , Rui Zou , Sourabh Bhattacharya

We study the complexity of the Virtual Network Embedding Problem (VNE), which is the combinatorial core of several telecommunication problems related to the implementation of virtualization technologies, such as Network Slicing. VNE is to…

Discrete Mathematics · Computer Science 2025-01-20 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

We call a (not necessarily properly) edge-colored graph edge-color-avoiding connected if after the removal of edges of any single color, the graph remains connected. For vertex-colored graphs, similar definitions of color-avoiding…

Combinatorics · Mathematics 2024-01-29 József Pintér , Kitti Varga

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

Lazy graph search algorithms are efficient at solving motion planning problems where edge evaluation is the computational bottleneck. These algorithms work by lazily computing the shortest potentially feasible path, evaluating edges along…

Robotics · Computer Science 2021-10-12 Mohak Bhardwaj , Sanjiban Choudhury , Byron Boots , Siddhartha Srinivasa

In this paper, we investigate the state estimation problem over multiple Markovian packet drop channels. In this problem setup, a remote estimator receives measurement data transmitted from multiple sensors over individual channels. By the…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Jiapeng Xu , Guoxiang Gu , Vijay Gupta , Yang Tang
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