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Federated graph learning (FGL) has become an important research topic in response to the increasing scale and the distributed nature of graph-structured data in the real world. In FGL, a global graph is distributed across different clients,…

Machine Learning · Computer Science 2024-08-27 Binchi Zhang , Minnan Luo , Shangbin Feng , Ziqi Liu , Jun Zhou , Qinghua Zheng

Transformer-based models have recently shown success in representation learning on graph-structured data beyond natural language processing and computer vision. However, the success is limited to small-scale graphs due to the drawbacks of…

Machine Learning · Computer Science 2022-10-05 Jinyoung Park , Seongjun Yun , Hyeonjin Park , Jaewoo Kang , Jisu Jeong , Kyung-Min Kim , Jung-woo Ha , Hyunwoo J. Kim

Graph entity dependencies (GEDs) are novel graph constraints, unifying keys and functional dependencies, for property graphs. They have been found useful in many real-world data quality and data management tasks, including fact checking on…

Databases · Computer Science 2023-07-04 Dehua Liu , Selasi Kwashie , Yidi Zhang , Guangtong Zhou , Michael Bewong , Xiaoying Wu , Xi Guo , Keqing He , Zaiwen Feng

A flow graph $G=(V,E,s)$ is a directed graph with a distinguished start vertex $s$. The dominator tree $D$ of $G$ is a tree rooted at $s$, such that a vertex $v$ is an ancestor of a vertex $w$ if and only if all paths from $s$ to $w$…

Data Structures and Algorithms · Computer Science 2016-08-24 Loukas Georgiadis , Aikaterini Karanasiou , Giannis Konstantinos , Luigi Laura

Graph Neural Networks (GNNs) have become popular across a diverse set of tasks in exploring structural relationships between entities. However, due to the highly connected structure of the datasets, distributed training of GNNs on…

Machine Learning · Computer Science 2025-09-08 Arefin Niam , Tevfik Kosar , M S Q Zulkar Nine

The problem of labeled graph generation is gaining attention in the Deep Learning community. The task is challenging due to the sparse and discrete nature of graph spaces. Several approaches have been proposed in the literature, most of…

Machine Learning · Computer Science 2021-07-20 Marco Podda , Davide Bacciu

In recent years, Federated Graph Learning (FGL) has gained significant attention for its distributed training capabilities in graph-based machine intelligence applications, mitigating data silos while offering a new perspective for…

Machine Learning · Computer Science 2025-04-15 Zhengyu Wu , Xunkai Li , Yinlin Zhu , Rong-Hua Li , Guoren Wang , Chenghu Zhou

Functional connectivity (FC) has been widely used to study brain network interactions underlying the emerging cognition and behavior of an individual. FC is usually defined as the correlation or partial correlation between brain regions.…

Applications · Statistics 2020-10-27 Gemeng Zhang , Aiying Zhang , Biao Cai , Zhuozhuo Tu , Vince D. Calhoun , Yu-Ping Wang

Graph representation learning (GRL) is to encode graph elements into informative vector representations, which can be used in downstream tasks for analyzing graph-structured data and has seen extensive applications in various domains.…

Machine Learning · Computer Science 2024-06-21 Hewen Wang , Renchi Yang , Xiaokui Xiao

Graph neural networks (GNN) have shown great success in learning from graph-structured data. They are widely used in various applications, such as recommendation, fraud detection, and search. In these domains, the graphs are typically…

Machine Learning · Computer Science 2021-08-04 Da Zheng , Chao Ma , Minjie Wang , Jinjing Zhou , Qidong Su , Xiang Song , Quan Gan , Zheng Zhang , George Karypis

This paper aims to accelerate decentralized optimization by strategically designing the edge weights used in the agent-to-agent message exchanges. We propose a Dynamic Directed Decentralized Gradient (D3GD) framework and show that the…

Optimization and Control · Mathematics 2026-01-30 Rongxing Du , Hoi-To Wai

For a graph $G$ let $\gamma (G)$ be its domination number. We define a graph G to be (i) a hypo-efficient domination graph (or a hypo-$\mathcal{ED}$ graph) if $G$ has no efficient dominating set (EDS) but every graph formed by removing a…

Combinatorics · Mathematics 2016-01-12 Vladimir Samodivkin

Directed acyclic graphs (DAGs) serve as crucial data representations in domains such as hardware synthesis and compiler/program optimization for computing systems. DAG generative models facilitate the creation of synthetic DAGs, which can…

Machine Learning · Computer Science 2025-03-04 Mufei Li , Viraj Shitole , Eli Chien , Changhai Man , Zhaodong Wang , Srinivas Sridharan , Ying Zhang , Tushar Krishna , Pan Li

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

Optimization and Control · Mathematics 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Many popular variants of graph neural networks (GNNs) that are capable of handling multi-relational graphs may suffer from vanishing gradients. In this work, we propose a novel GNN architecture based on the Gated Graph Neural Network with…

Machine Learning · Computer Science 2020-07-21 Denis Lukovnikov , Jens Lehmann , Asja Fischer

The problem of code generation from textual program descriptions has long been viewed as a grand challenge in software engineering. In recent years, many deep learning based approaches have been proposed, which can generate a sequence of…

Software Engineering · Computer Science 2021-04-23 Chen Lyu , Ruyun Wang , Hongyu Zhang , Hanwen Zhang , Songlin Hu

Federated Graph Learning (FGL) aims to collaboratively and privately optimize graph models on divergent data for different tasks. A critical challenge in FGL is to enable effective yet efficient federated optimization against multifaceted…

Machine Learning · Computer Science 2024-11-05 Zhuoning Guo , Ruiqian Han , Hao Liu

This work presents a novel resolution-invariant model order reduction strategy for multifidelity applications. We base our architecture on a novel neural network layer developed in this work, the graph feedforward network, which extends the…

Numerical Analysis · Mathematics 2024-06-07 Oisín M. Morrison , Federico Pichi , Jan S. Hesthaven

Given a function $f$ in a finite field ${\mathbb F}_q$ of $q$ elements, we define the functional graph of $f$ as a directed graph on $q$ nodes labelled by the elements of ${\mathbb F}_q$ where there is an edge from $u$ to $v$ if and only if…

Number Theory · Mathematics 2015-05-27 Sergei V. Konyagin , Florian Luca , Bernard Mans , Luke Mathieson , Min Sha , Igor E. Shparlinski

Subgraph densities play a crucial role in network analysis, especially for the identification and interpretation of meaningful substructures in complex graphs. Localized subgraph densities, in particular, can provide valuable insights into…

Social and Information Networks · Computer Science 2025-05-23 Connor Mattes , Esha Datta , Ali Pinar