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When we try to solve a system of linear equations, we can consider a simple iterative algorithm in which an equation including only one variable is chosen at each step, and the variable is fixed to the value satisfying the equation. The…

Discrete Mathematics · Computer Science 2015-06-03 Ryuhei Mori , Osamu Watanabe

Despite significant advancements in causal research on graphs and its application to cracking label imbalance, the role of edge features in detecting the causal effects within graphs has been largely overlooked, leaving existing methods…

Machine Learning · Computer Science 2025-01-08 Fengrui Zhang , Yujia Yin , Hongzong Li , Yifan Chen , Tianyi Qu

We study the problem of guaranteeing the connectivity of a given graph by protecting or strengthening edges. Herein, a protected edge is assumed to be robust and will not fail, which features a non-uniform failure model. We introduce the…

Data Structures and Algorithms · Computer Science 2025-01-09 Felix Hommelsheim , Zhenwei Liu , Nicole Megow , Guochuan Zhang

Consider a dynamic network and a given distributed problem. At any point in time, there might exist several solutions that are equally good with respect to the problem specification, but that are different from an algorithmic perspective,…

Data Structures and Algorithms · Computer Science 2023-04-13 Swan Dubois , Laurent Feuilloley , Franck Petit , Mikaël Rabie

Edge detection is a fundamental technique in various computer vision tasks. Edges are indeed effectively delineated by pixel discontinuity and can offer reliable structural information even in textureless areas. State-of-the-art heavily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Leng Kai , Zhang Zhijie , Liu Jie , Zed Boukhers , Sui Wei , Cong Yang , Li Zhijun

Edge preserving filters preserve the edges and its information while blurring an image. In other words they are used to smooth an image, while reducing the edge blurring effects across the edge like halos, phantom etc. They are nonlinear in…

Computer Vision and Pattern Recognition · Computer Science 2015-03-26 Chandrajit Pal , Amlan Chakrabarti , Ranjan Ghosh

Graph embeddings learn the structure of networks and represent it in low-dimensional vector spaces. Community structure is one of the features that are recognized and reproduced by embeddings. We show that an iterative procedure, in which a…

Physics and Society · Physics 2024-07-30 Bianka Kovács , Sadamori Kojaku , Gergely Palla , Santo Fortunato

In the fully dynamic edge connectivity problem, the input is a simple graph $G$ undergoing edge insertions and deletions, and the goal is to maintain its edge connectivity, denoted $\lambda_G$. We present two simple randomized algorithms…

Data Structures and Algorithms · Computer Science 2025-10-21 Yotam Kenneth-Mordoch , Robert Krauthgamer

We study the problem of maintaining robust and sparse overlay networks in fully distributed settings where nodes continuously join and leave the system. This scenario closely models real-world unstructured peer-to-peer networks, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Antonio Cruciani

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

The ability to extrapolate gene expression dynamics in living single cells requires robust cell segmentation, and one of the challenges is the amorphous or irregularly shaped cell boundaries. To address this issue, we modified the U-Net…

Quantitative Methods · Quantitative Biology 2020-01-17 Nanyan Zhu , Chen Liu , Zakary S. Singer , Tal Danino , Andrew F. Laine , Jia Guo

Large-scale graphs are widely used to represent object relationships in many real world applications. The occurrence of large-scale graphs presents significant computational challenges to process, analyze, and extract information. Graph…

Social and Information Networks · Computer Science 2019-10-11 Yu Jin , Andreas Loukas , Joseph F. JaJa

Message passing is the core operation in graph neural networks, where each node updates its embeddings by aggregating information from its neighbors. However, in deep architectures, this process often leads to diminished expressiveness. A…

Machine Learning · Computer Science 2025-11-11 Mohammad Shirzadi , Ali Safarpoor Dehkordi , Ahad N. Zehmakan

With the remarkable success of representation learning for prediction problems, we have witnessed a rapid expansion of the use of machine learning and deep learning for the analysis of digital pathology and biopsy image patches. However,…

Machine Learning · Computer Science 2024-03-06 David Ahmedt-Aristizabal , Mohammad Ali Armin , Simon Denman , Clinton Fookes , Lars Petersson

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Due to the recent development of data analysis techniques, technologies for detecting communities through information expressed in social networks have been developed. Although it has several advantages, including the ability to effectively…

Social and Information Networks · Computer Science 2023-04-26 Jaeyoung Choi , Wooseok Sim

From social networks to protein complexes to disease genomes to visual data, hypergraphs are everywhere. However, the scope of research studying deep learning on hypergraphs is still quite sparse and nascent, as there has not yet existed an…

Machine Learning · Computer Science 2019-10-08 Josh Payne

Most network data are collected from partially observable networks with both missing nodes and missing edges, for example, due to limited resources and privacy settings specified by users on social media. Thus, it stands to reason that…

Social and Information Networks · Computer Science 2020-10-21 Cong Tran , Won-Yong Shin , Andreas Spitz , Michael Gertz

Many applications produce massive complex networks whose analysis would benefit from parallel processing. Parallel algorithms, in turn, often require a suitable network partition. For solving optimization tasks such as graph partitioning on…

Data Structures and Algorithms · Computer Science 2014-02-14 Roland Glantz , Henning Meyerhenke , Christian Schulz

Deep neural networks, despite their remarkable success, remain fundamentally limited in their ability to perform Continual Learning (CL). While most current methods aim to enhance the capabilities of a single model, Inspired by the…

Machine Learning · Computer Science 2025-08-01 Aojun Lu , Junchao Ke , Chunhui Ding , Jiahao Fan , Jiancheng Lv , Yanan Sun