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Federated graph learning is a widely recognized technique that promotes collaborative training of graph neural networks (GNNs) by multi-client graphs.However, existing approaches heavily rely on the communication of model parameters or…

Machine Learning · Computer Science 2025-05-06 Hao Zhang , Xunkai Li , Yinlin Zhu , Lianglin Hu

Many real-world networks are intrinsically directed. Such networks include activation of genes, hyperlinks on the internet, and the network of followers on Twitter among many others. The challenge, however, is to create a network model that…

Social and Information Networks · Computer Science 2022-04-15 Jesse Michel , Sushruth Reddy , Rikhav Shah , Sandeep Silwal , Ramis Movassagh

The graphical notion of effective resistance has found wide-ranging applications in many areas of pure mathematics, applied mathematics and control theory. By the nature of its construction, effective resistance can only be computed in…

Optimization and Control · Mathematics 2013-10-23 George Forrest Young , Luca Scardovi , Naomi Ehrich Leonard

Federated graph learning (FGL) is a promising distributed training paradigm for graph neural networks across multiple local systems without direct data sharing. This approach inherently involves large-scale distributed graph processing,…

Machine Learning · Computer Science 2025-01-22 Xunkai Li , Yinlin Zhu , Boyang Pang , Guochen Yan , Yeyu Yan , Zening Li , Zhengyu Wu , Wentao Zhang , Rong-Hua Li , Guoren Wang

A common theme in causal inference is learning causal relationships between observed variables, also known as causal discovery. This is usually a daunting task, given the large number of candidate causal graphs and the combinatorial nature…

Machine Learning · Statistics 2022-10-11 Romain Lopez , Jan-Christian Hütter , Jonathan K. Pritchard , Aviv Regev

Graph neural networks (GNNs) often struggle to learn discriminative node representations for heterophilic graphs, where connected nodes tend to have dissimilar labels and feature similarity provides weak structural cues. We propose…

Machine Learning · Computer Science 2025-12-30 Ayushman Raghuvanshi , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Segmentation, a new approach based on successive edge contraction is introduced for extract method refactoring. It targets identification of distinct functionalities implemented within a method. Segmentation builds upon data and control…

Software Engineering · Computer Science 2019-08-14 Omkarendra Tiwari , Rushikesh K. Joshi

In a world blessed with a great diversity of loss functions, we argue that that choice between them is not a matter of taste or pragmatics, but of model. Probabilistic depencency graphs (PDGs) are probabilistic models that come equipped…

Machine Learning · Computer Science 2022-02-25 Oliver E Richardson

With the increasing use of graph-structured data, there is also increasing interest in investigating graph data dependencies and their applications, e.g., in graph data profiling. Graph Generating Dependencies (GGDs) are a class of…

Databases · Computer Science 2025-02-04 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

The independent domination number of a finite graph G is the minimum cardinality of an independent dominating set of vertices. The independent bondage number of G is the minimum cardinality of a set of edges whose deletion results in a…

Combinatorics · Mathematics 2024-02-06 E. G. K. M. Gamlath , Bing Wei , Talmage James Reid

We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

In the rapidly evolving field of Heterogeneous Multi-access Edge Computing (HMEC), efficient task offloading plays a pivotal role in optimizing system throughput and resource utilization. However, existing task offloading methods often fall…

Networking and Internet Architecture · Computer Science 2024-05-31 Mulei Ma

Graph condensation (GC), which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has benefited various graph learning tasks. However, existing GC methods rely on centralized data…

Machine Learning · Computer Science 2024-12-23 Bo Yan , Sihao He , Cheng Yang , Shang Liu , Yang Cao , Chuan Shi

Federated graph learning collaboratively learns a global graph neural network with distributed graphs, where the non-independent and identically distributed property is one of the major challenges. Most relative arts focus on traditional…

Machine Learning · Computer Science 2024-07-02 Wenke Huang , Guancheng Wan , Mang Ye , Bo Du

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

In this paper, we propose a novel inference method for dynamic genetic networks which makes it possible to face with a number of time measurements n much smaller than the number of genes p. The approach is based on the concept of low order…

Statistics Theory · Mathematics 2009-05-29 Sophie Lèbre

We introduce the FRactional-Order graph Neural Dynamical network (FROND), a new continuous graph neural network (GNN) framework. Unlike traditional continuous GNNs that rely on integer-order differential equations, FROND employs the Caputo…

Machine Learning · Computer Science 2024-04-29 Qiyu Kang , Kai Zhao , Qinxu Ding , Feng Ji , Xuhao Li , Wenfei Liang , Yang Song , Wee Peng Tay

Classical graphical modeling of multivariate random vectors uses graphs to encode conditional independence. In graphical modeling of multivariate stochastic processes, graphs may encode so-called local independence analogously. If some…

Statistics Theory · Mathematics 2023-02-27 Søren Wengel Mogensen

Federated graph learning is an emerging field with significant practical challenges. While algorithms have been proposed to improve the accuracy of training graph neural networks, such as node classification on federated graphs, the system…

Machine Learning · Computer Science 2025-09-04 Yuhang Yao , Yuan Li , Xinyi Fan , Junhao Li , Kay Liu , Weizhao Jin , Yu Yang , Srivatsan Ravi , Philip S. Yu , Carlee Joe-Wong

Graph Neural Nets (GNNs) have received increasing attentions, partially due to their superior performance in many node and graph classification tasks. However, there is a lack of understanding on what they are learning and how sophisticated…

Machine Learning · Computer Science 2020-06-11 Ting Chen , Song Bian , Yizhou Sun