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Related papers: An Analytical Solution to the $k$-core Pruning Pro…

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Neural network pruning reduces the computational cost of an over-parameterized network to improve its efficiency. Popular methods vary from $\ell_1$-norm sparsification to Neural Architecture Search (NAS). In this work, we propose a novel…

Machine Learning · Computer Science 2020-06-05 Yonathan Aflalo , Asaf Noy , Ming Lin , Itamar Friedman , Lihi Zelnik

Going beyond networks, to include higher-order interactions of arbitrary sizes, is a major step to better describe complex systems. In the resulting hypergraph representation, tools to identify structures and central nodes are scarce. We…

Physics and Society · Physics 2023-10-11 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

Mining dense subgraphs where vertices connect closely with each other is a common task when analyzing graphs. A very popular notion in subgraph analysis is core decomposition. Recently, Esfahani et al. presented a probabilistic core…

Machine Learning · Statistics 2023-03-29 Yang Guo , Xuekui Zhang , Fatemeh Esfahani , Venkatesh Srinivasan , Alex Thomo , Li Xing

Maintaining a dynamic $k$-core decomposition is an important problem that identifies dense subgraphs in dynamically changing graphs. Recent work by Liu et al. [SPAA 2022] presents a parallel batch-dynamic algorithm for maintaining an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Quanquan C. Liu , Julian Shun , Igor Zablotchi

Finding the dense regions of a graph and relations among them is a fundamental problem in network analysis. Core and truss decompositions reveal dense subgraphs with hierarchical relations. The incremental nature of algorithms for computing…

Social and Information Networks · Computer Science 2018-09-17 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar

With the successful application of deep learning in communications systems, deep neural networks are becoming the preferred method for signal classification. Although these models yield impressive results, they often come with high…

Machine Learning · Computer Science 2024-06-13 Yao Lu , Yutao Zhu , Yuqi Li , Dongwei Xu , Yun Lin , Qi Xuan , Xiaoniu Yang

In this paper, we investigate the parallelization of $k$-core decomposition, a method used in graph analysis to identify cohesive substructures and assess node centrality. Although efficient sequential algorithms exist for this task, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-02 Davide Rucci , Sebastian Parfeniuc , Matteo Mordacchini , Emanuele Carlini , Alfredo Cuzzocrea , Patrizio Dazzi

Closeness is a widely-studied centrality measure. Since it requires all pairwise distances, computing closeness for all nodes is infeasible for large real-world networks. However, for many applications, it is only necessary to find the k…

Data Structures and Algorithms · Computer Science 2017-10-04 Patrick Bisenius , Elisabetta Bergamini , Eugenio Angriman , Henning Meyerhenke

Clustering analysis has been widely used in trust evaluation on various complex networks such as wireless sensors networks and online social networks. Spectral clustering is one of the most commonly used algorithms for graph-structured data…

Social and Information Networks · Computer Science 2021-12-03 Gang Mei , Jingzhi Tu , Lei Xiao , Francesco Piccialli

Deep learning stands as the modern paradigm for solving cognitive tasks. However, as the problem complexity increases, models grow deeper and computationally prohibitive, hindering advancements in real-world and resource-constrained…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Gustavo Henrique do Nascimento , Ian Pons , Anna Helena Reali Costa , Artur Jordao

Magnitude pruning is one of the mainstream methods in lightweight architecture design whose goal is to extract subnetworks with the largest weight connections. This method is known to be successful, but under very high pruning regimes, it…

Computer Vision and Pattern Recognition · Computer Science 2023-07-03 Hichem Sahbi

A temporal network is a dynamic graph where every edge is assigned an integer time label that indicates at which discrete time step the edge is available. We consider the problem of hierarchically decomposing the network and introduce an…

Social and Information Networks · Computer Science 2024-11-14 Lutz Oettershagen , Athanasios L. Konstantinidis , Giuseppe F. Italiano

Artificial neural network pruning is a method in which artificial neural network sizes can be reduced while attempting to preserve the predicting capabilities of the network. This is done to make the model smaller or faster during inference…

Machine Learning · Computer Science 2025-05-21 Alexandre Broggi , Nathaniel Bastian , Lance Fiondella , Gokhan Kul

In Social Network Analysis (SNA), k-core decomposition is used to detect hierarchical shells in networks. The application of the K-core decomposition to a network of keywords allows us to represent the conceptual structure of a research…

Methodology · Statistics 2025-02-19 Carmen Gálvez

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

Machine Learning · Computer Science 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

The $k$-center problem is a central optimization problem with numerous applications for machine learning, data mining, and communication networks. Despite extensive study in various scenarios, it surprisingly has not been thoroughly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Leyla Biabani , Ami Paz

Effectively preserving both the structural and dynamical properties during the reduction of complex networks remains a significant research topic. Existing network reduction methods based on renormalization group or sampling often face…

Social and Information Networks · Computer Science 2025-07-15 Dan Chen , Housheng Su , Yong Wang , Jie Liu

Network robustness is a measure a network's ability to survive adversarial attacks. But not all parts of a network are equal. K-cores, which are dense subgraphs, are known to capture some of the key properties of many real-life networks.…

Social and Information Networks · Computer Science 2020-12-21 Palash Dey , Suman Kalyan Maity , Sourav Medya , Arlei Silva

We present a filter pruning approach for deep model compression, using a multitask network. Our approach is based on learning a a pruner network to prune a pre-trained target network. The pruner is essentially a multitask deep neural…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Vinay Kumar Verma , Pravendra Singh , Vinay P. Namboodiri , Piyush Rai

We determine the size of $k$-core in a large class of dense graph sequences. Let $G_n$ be a sequence of undirected, $n$-vertex graphs with edge weights $\{a^n_{i,j}\}_{i,j \in [n]}$ that converges to a kernel $W:[0,1]^2\to [0,+\infty)$ in…

Probability · Mathematics 2022-05-11 Erhan Bayraktar , Suman Chakraborty , Xin Zhang
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