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One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

We initiate the study of deterministic distributed graph algorithms with predictions in synchronous message passing systems. The process at each node in the graph is given a prediction, which is some extra information about the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Joan Boyar , Faith Ellen , Kim S. Larsen

Decision support systems based on prediction sets have proven to be effective at helping human experts solve classification tasks. Rather than providing single-label predictions, these systems provide sets of label predictions constructed…

Machine Learning · Computer Science 2024-11-13 Giovanni De Toni , Nastaran Okati , Suhas Thejaswi , Eleni Straitouri , Manuel Gomez-Rodriguez

Minimum vertex cover problem is an NP-Hard problem with the aim of finding minimum number of vertices to cover graph. In this paper, a learning automaton based algorithm is proposed to find minimum vertex cover in graph. In the proposed…

Artificial Intelligence · Computer Science 2013-12-02 Aylin Mousavian , Alireza Rezvanian , Mohammad Reza Meybodi

Graphs have been widely used to represent complex data in many applications. Efficient and effective analysis of graphs is important for graph-based applications. However, most graph analysis tasks are combinatorial optimization (CO)…

Machine Learning · Computer Science 2021-04-23 Yun Peng , Byron Choi , Jianliang Xu

In genome-scale constraint-based metabolic models, gene deletion strategies are essential for achieving growth-coupled production, where cell growth and target metabolite synthesis occur simultaneously. Despite the inherently networked…

Quantitative Methods · Quantitative Biology 2026-04-10 Ziwei Yang , Takeyuki Tamura

This study introduces the Iterative Chainlet Partitioning (ICP) algorithm and its neural acceleration for solving the Traveling Salesman Problem with Drone (TSP-D). The proposed ICP algorithm decomposes a TSP-D solution into smaller…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Jae Hyeok Lee , Minwoo Kim , Minjun Kim , Jinkyoo Park , Changhyun Kwon

Graph generation generally aims to create new graphs that closely align with a specific graph distribution. Existing works often implicitly capture this distribution through the optimization of generators, potentially overlooking the…

Machine Learning · Computer Science 2024-07-19 Song Wang , Zhen Tan , Xinyu Zhao , Tianlong Chen , Huan Liu , Jundong Li

In this work, we propose a Graph Convolutional Neural Networks (GCN) based scheduling algorithm for adhoc networks. In particular, we consider a generalized interference model called the $k$-tolerant conflict graph model and design an…

Systems and Control · Electrical Eng. & Systems 2021-11-03 S. Ramakrishnan , Jaswanthi Mandalapu , Subrahmanya Swamy Peruru , Bhavesh Jain , Eitan Altman

The rapid development of Internet technology has given rise to a vast amount of graph-structured data. Graph Neural Networks (GNNs), as an effective method for various graph mining tasks, incurs substantial computational resource costs when…

Machine Learning · Computer Science 2024-03-04 Lin Wang , Wenqi Fan , Jiatong Li , Yao Ma , Qing Li

Neural networks are often regarded as universal equations that can estimate any function. This flexibility, however, comes with the drawback of high complexity, rendering these networks into black box models, which is especially relevant in…

Robotics · Computer Science 2025-06-24 Al-Harith Farhad , Khalil Abuibaid , Christiane Plociennik , Achim Wagner , Martin Ruskowski

The Progressive Edge Growth (PEG) algorithm is one of the most widely-used method for constructing finite length LDPC codes. In this paper we consider the PEG algorithm together with a scheduling distribution, which specifies the order in…

Information Theory · Computer Science 2011-03-15 Lam Pham Sy , Valentin Savin , David Declercq , Nghia Pham

Graph Neural Networks (GNNs) excel at modeling relational data but face significant challenges in high-stakes domains due to unquantified uncertainty. Conformal prediction (CP) offers statistical coverage guarantees, but existing methods…

Machine Learning · Computer Science 2025-06-10 Zheng Zhang , Jie Bao , Zhixin Zhou , Nicolo Colombo , Lixin Cheng , Rui Luo

Given a $\{0,1\}$-matrix $M$, the graph realization problem for $M$ asks if there exists a spanning forest such that the columns of $M$ are incidence vectors of paths in the forest. The problem is closely related to the recognition of…

Discrete Mathematics · Computer Science 2025-06-27 Rolf van der Hulst , Matthias Walter

The convolutional neural network (CNN), which is one of the deep learning models, has seen much success in a variety of computer vision tasks. However, designing CNN architectures still requires expert knowledge and a lot of trial and…

Neural and Evolutionary Computing · Computer Science 2017-08-14 Masanori Suganuma , Shinichi Shirakawa , Tomoharu Nagao

The Bilevel Optimization Problem is a hierarchical optimization problem with two agents, a leader and a follower. The leader make their own decisions first, and the followers make the best choices accordingly. The leader knows the…

Artificial Intelligence · Computer Science 2023-12-12 Sunhyeon Kwon , Hwayong Choi , Sungsoo Park

Although Graph Neural Networks (GNNs) have become the dominant approach for graph representation learning, their performance on link prediction tasks does not always surpass that of traditional heuristic methods such as Common Neighbors and…

Social and Information Networks · Computer Science 2025-12-25 Lei Wang , Darong Lai

A natural optimization model that formulates many online resource allocation and revenue management problems is the online linear program (LP) in which the constraint matrix is revealed column by column along with the corresponding…

Data Structures and Algorithms · Computer Science 2014-04-10 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

Local graph clustering and the closely related seed set expansion problem are primitives on graphs that are central to a wide range of analytic and learning tasks such as local clustering, community detection, nodes ranking and feature…

Machine Learning · Computer Science 2020-07-21 Kimon Fountoulakis , Di Wang , Shenghao Yang

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang