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Finding complete subgraphs in a graph, that is, cliques, is a key problem and has many real-world applications, e.g., finding communities in social networks, clustering gene expression data, modeling ecological niches in food webs, and…

Optimization and Control · Mathematics 2017-05-01 Melisew Tefera Belachew , Nicolas Gillis

This study addresses a distributed optimization with a novel class of coupling of variables, called clique-wise coupling. A clique is a node set of a complete subgraph of an undirected graph. This setup is an extension of pairwise coupled…

Optimization and Control · Mathematics 2023-04-24 Yuto Watanabe , Kazunori Sakurama

While Artificial intelligence (AI), including Generative AI, are effective at generating high-quality traffic data and optimization solutions in intelligent transportation systems (ITSs), these techniques often demand significant training…

Artificial Intelligence · Computer Science 2025-05-09 Enqiang Zhu , Chenkai Hao , Chanjuan Liu , Yongsheng Rao

Researchers recently extended Distributed Constraint Optimization Problems (DCOPs) to Communication-Aware DCOPs so that they are applicable in scenarios in which messages can be arbitrarily delayed. Distributed asynchronous local search and…

Artificial Intelligence · Computer Science 2025-04-15 Ben Rachmut , Roie Zivan , William Yeoh

We present the Distributed and Localized Model Predictive Control (DLMPC) algorithm for large-scale structured linear systems, wherein only local state and model information needs to be exchanged between subsystems for the computation and…

Optimization and Control · Mathematics 2020-09-14 Carmen Amo Alonso , Nikolai Matni

The Minimum Weight Dominating Set (MWDS) problem is an important generalization of the Minimum Dominating Set (MDS) problem with extensive applications. This paper proposes a new local search algorithm for the MWDS problem, which is based…

Artificial Intelligence · Computer Science 2017-02-16 Yiyuan Wang , Shaowei Cai , Minghao Yin

We present Doubly Robust Monte Carlo Tree Search (DR-MCTS), a novel algorithm that integrates Doubly Robust (DR) off-policy estimation into Monte Carlo Tree Search (MCTS) to enhance sample efficiency and decision quality in complex…

Machine Learning · Statistics 2025-02-05 Manqing Liu , Andrew L. Beam

Many modern simultaneous localization and mapping (SLAM) techniques rely on sparse landmark-based maps due to their real-time performance. However, these techniques frequently assert that these landmarks are fixed in position over time,…

Robotics · Computer Science 2020-08-04 Samuel Bateman , Kyle Harlow , Christoffer Heckman

Recent work proposed the UCTMAXSAT algorithm to address Maximum Satisfiability Problems (MaxSAT) and shown improved performance over pure Stochastic Local Search algorithms (SLS). UCTMAXSAT is based on Monte Carlo Tree Search but it uses…

Artificial Intelligence · Computer Science 2023-02-28 Hui Wang , Abdallah Saffidine , Tristan Cazenave

This study explores distributed optimization problems with clique-wise coupling via operator splitting and how we can utilize this framework for performance analysis and enhancement. This framework extends beyond conventional pairwise…

Optimization and Control · Mathematics 2025-06-24 Yuto Watanabe , Kazunori Sakurama

Multi-domain fine-tuning of large language models requires improving performance on target domains while preserving performance on constrained domains, such as general knowledge, instruction following, or safety evaluations. Existing data…

Machine Learning · Computer Science 2026-05-12 Eleonora Gualdoni , Sonia Laguna , Louis Bethune , Joao Monteiro , Pierre Ablin , Marco Cuturi

We introduce an evolutionary stochastic-local-search (SLS) algorithm for addressing a generalized version of the so-called 1/V/D/R cutting-stock problem. Cutting-stock problems are encountered often in industrial environments and the…

Neural and Evolutionary Computing · Computer Science 2017-07-28 Georgios C. Chasparis , Michael Rossbory , Verena Haunschmid

A clique in an undirected graph G= (V, E) is a subset V' V of vertices, each pair of which is connected by an edge in E. The clique problem is an optimization problem of finding a clique of maximum size in graph. The clique problem is…

Discrete Mathematics · Computer Science 2007-10-04 Murali Krishna P , Sabu . M Thampi

Identifying dense subgraphs known as quasi-cliques is pivotal in numerous graph mining tasks across domains such as social networks, biology, and e-commerce. While prior work has developed efficient algorithms for quasi-clique detection in…

Social and Information Networks · Computer Science 2026-05-27 Jingbang Chen , Weinuo Li , Yingli Zhou , Hao Wu , Can Wang , Yixiang Fang , Chenhao Ma

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, informatics, and many other areas. Although there exist several algorithms with acceptable runtimes for certain classes of…

Data Structures and Algorithms · Computer Science 2012-11-15 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

Algorithm MLS (Maximal Label Search) is a graph search algorithm which generalizes algorithms MCS, LexBFS, LexDFS and MNS. On a chordal graph, MLS computes a peo (perfect elimination ordering) of the graph. We show how algorithm MLS can be…

Data Structures and Algorithms · Computer Science 2016-11-01 Anne Berry , Geneviève Simonet

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Finding a Maximum Clique is a classic property test from graph theory; find any one of the largest complete subgraphs in an Erd\"os-R\'enyi G(N, p) random graph. We use Maximum Clique to explore the structure of the problem as a function of…

Disordered Systems and Neural Networks · Physics 2023-05-26 Raffaele Marino , Scott Kirkpatrick

The increasing presence of large-scale distributed systems highlights the need for scalable control strategies where only local communication is required. Moreover, in safety-critical systems it is imperative that such control strategies…

Optimization and Control · Mathematics 2022-03-16 Carmen Amo Alonso , Jing Shuang Li , James Anderson , Nikolai Matni

We introduce a distributed algorithm, termed noise-robust distributed maximum consensus (RD-MC), for estimating the maximum value within a multi-agent network in the presence of noisy communication links. Our approach entails redefining the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-18 Ehsan Lari , Reza Arablouei , Naveen K. D. Venkategowda , Stefan Werner