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The organisation of a network in a maximal set of nodes having at least $k$ neighbours within the set, known as $k$-core decomposition, has been used for studying various phenomena. It has been shown that nodes in the innermost $k$-shells…

Physics and Society · Physics 2020-09-08 Irene Malvestio , Alessio Cardillo , Naoki Masuda

The structure of large networks can be revealed by partitioning them to smaller parts, which are easier to handle. One of such decompositions is based on $k$--cores, proposed in 1983 by Seidman. In the paper an efficient, $O(m)$, $m$ is the…

Data Structures and Algorithms · Computer Science 2013-01-22 V. Batagelj , M. Zaversnik

Leaf-Removal process has been widely researched and applied in many mathematical and physical fields to help understand the complex systems, and a lot of problems including the minimal vertex-cover are deeply related to this process and the…

Social and Information Networks · Computer Science 2019-07-24 Xiangnan Feng , Wei Wei , Xing Li , Zhiming Zheng

Multiplex network embedding is an effective technique to jointly learn the low-dimensional representations of nodes across network layers. However, the number of edges among layers may vary significantly. This data imbalance will lead to…

Social and Information Networks · Computer Science 2023-01-02 Kejia Chen , Yinchu Qiu , Zheng Liu

Neural network pruning techniques can substantially reduce the computational cost of applying convolutional neural networks (CNNs). Common pruning methods determine which convolutional filters to remove by ranking the filters individually,…

Machine Learning · Computer Science 2022-06-24 Richard Schoonhoven , Allard A. Hendriksen , Daniël M. Pelt , K. Joost Batenburg

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

The decoupling of multivariate functions is a powerful modeling paradigm for learning multivariate input-output relations from data. For the single-layer case, established CPD-based methods are available, but the multi-layer case remained…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Joppe De Jonghe , Konstantin Usevich , Philippe Dreesen , Mariya Ishteva

This paper focuses on filter-level network pruning. A novel pruning method, termed CLR-RNF, is proposed. We first reveal a "long-tail" long-tail pruning problem in magnitude-based weight pruning methods, and then propose a computation-aware…

Computer Vision and Pattern Recognition · Computer Science 2022-02-16 Mingbao Lin , Liujuan Cao , Yuxin Zhang , Ling Shao , Chia-Wen Lin , Rongrong Ji

Convolutional neural networks (CNN) play a major role in image processing tasks like image classification, object detection, semantic segmentation. Very often CNN networks have from several to hundred stacked layers with several megabytes…

Machine Learning · Computer Science 2020-02-18 Marcin Pietron , Maciej Wielgosz

Graph mining analyzes real-world graphs to find core substructures (connected subgraphs) in applications modeled as graphs. Substructure discovery is a process that involves identifying meaningful patterns, structures, or components within…

Social and Information Networks · Computer Science 2025-04-29 Arshdeep Singh , Abhishek Santra , Sharma Chakravarthy

The {\sc $k$-Leaf Out-Branching} problem is to find an out-branching (i.e. a rooted oriented spanning tree) with at least $k$ leaves in a given digraph. The problem has recently received much attention from the viewpoint of parameterized…

Data Structures and Algorithms · Computer Science 2008-11-06 Henning Fernau , Fedor V. Fomin , Daniel Lokshtanov , Daniel Raible , Saket Saurabh , Yngve Villanger

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

Comparative analyses of graph structured datasets underly diverse problems. Examples of these problems include identification of conserved functional components (biochemical interactions) across species, structural similarity of large…

Quantum Physics · Physics 2014-09-25 Anmer Daskin , Ananth Grama , Sabre Kais

Network pruning has been the driving force for the acceleration of neural networks and the alleviation of model storage/transmission burden. With the advent of AutoML and neural architecture search (NAS), pruning has become topical with…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Yawei Li , Shuhang Gu , Kai Zhang , Luc Van Gool , Radu Timofte

Convolutional neural networks are prevailing in deep learning tasks. However, they suffer from massive cost issues when working on mobile devices. Network pruning is an effective method of model compression to handle such problems. This…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhaofeng Si , Honggang Qi , Xiaoyu Song

Pruning is one of the most effective model reduction techniques. Deep networks require massive computation and such models need to be compressed to bring them on edge devices. Most existing pruning techniques are focused on vision-based…

Machine Learning · Computer Science 2020-04-30 Ramchalam Kinattinkara Ramakrishnan , Eyyüb Sari , Vahid Partovi Nia

Neural networks have seen an explosion of usage and research in the past decade, particularly within the domains of computer vision and natural language processing. However, only recently have advancements in neural networks yielded…

Machine Learning · Computer Science 2022-07-20 Jacob Renn , Ian Sotnek , Benjamin Harvey , Brian Caffo

Layered neural networks have greatly improved the performance of various applications including image processing, speech recognition, natural language processing, and bioinformatics. However, it is still difficult to discover or interpret…

Machine Learning · Statistics 2017-10-05 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

We study network pruning which aims to remove redundant channels/kernels and hence speed up the inference of deep networks. Existing pruning methods either train from scratch with sparsity constraints or minimize the reconstruction error…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Jing Liu , Bohan Zhuang , Zhuangwei Zhuang , Yong Guo , Junzhou Huang , Jinhui Zhu , Mingkui Tan

Network pruning reduces the computation costs of an over-parameterized network without performance damage. Prevailing pruning algorithms pre-define the width and depth of the pruned networks, and then transfer parameters from the unpruned…

Computer Vision and Pattern Recognition · Computer Science 2019-10-17 Xuanyi Dong , Yi Yang
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