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Let ${\cal G}$ be a minor-closed graph class and let $G$ be an $n$-vertex graph. We say that $G$ is a $k$-apex of ${\cal G}$ if $G$ contains a set $S$ of at most $k$ vertices such that $G\setminus S$ belongs to ${\cal G}$. Our first result…

Data Structures and Algorithms · Computer Science 2024-08-14 Laure Morelle , Ignasi Sau , Giannos Stamoulis , Dimitrios M. Thilikos

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

Machine Learning · Computer Science 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Fraud detection on graph data can be viewed as a demanding task that requires distinguishing between different types of nodes. Because graph neural networks (GNNs) are naturally suited for processing information encoded in graph form…

Machine Learning · Computer Science 2026-04-17 Wei He , Wensheng Gan , Philip S. Yu

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

To solve many problems on graphs, graph traversals are used, the usual variants of which are the depth-first search and the breadth-first search. Implementing a graph traversal we consequently reach all vertices of the graph that belong to…

Discrete Mathematics · Computer Science 2025-02-18 A. V. Prolubnikov

An autonomous variational inference algorithm for arbitrary graphical models requires the ability to optimize variational approximations over the space of model parameters as well as over the choice of tractable families used for the…

Machine Learning · Computer Science 2012-07-19 Eric P. Xing , Michael I. Jordan , Stuart Russell

Fused Lasso was proposed to characterize the sparsity of the coefficients and the sparsity of their successive differences for the linear regression. Due to its wide applications, there are many existing algorithms to solve fused Lasso.…

Computation · Statistics 2024-04-17 Pan Shang , Huangyue Chen , Lingchen Kong

Graph processing systems are essential for analyzing large-scale data with complex relationships, yet most existing frameworks rely on statically provisioned clusters, resulting in poor elasticity and inefficient resource utilization under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Chen Zhao , Parsa Poorsistani , Mohammad Goudarzi , Tawfiq Islam , Adel N. Toosi

We consider learning an undirected graphical model from sparse data. While several efficient algorithms have been proposed for graphical lasso (GL), the alternating direction method of multipliers (ADMM) is the main approach taken…

Optimization and Control · Mathematics 2021-12-15 Jie Chen , Ryosuke Shimmura , Joe Suzuki

User-item interactions in recommendations can be naturally de-noted as a user-item bipartite graph. Given the success of graph neural networks (GNNs) in graph representation learning, GNN-based C methods have been proposed to advance…

Information Retrieval · Computer Science 2022-01-06 Yiqi Wang , Chaozhuo Li , Mingzheng Li , Wei Jin , Yuming Liu , Hao Sun , Xing Xie , Jiliang Tang

Recently, some Neural Architecture Search (NAS) techniques are proposed for the automatic design of Graph Convolutional Network (GCN) architectures. They bring great convenience to the use of GCN, but could hardly apply to the Federated…

Machine Learning · Computer Science 2021-04-12 Chunnan Wang , Bozhou Chen , Geng Li , Hongzhi Wang

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Graph Neural Networks (GNNs) are powerful learning methods for recommender systems owing to their robustness in handling complicated user-item interactions. Recently, the integration of contrastive learning with GNNs has demonstrated…

Machine Learning · Computer Science 2024-08-12 Junfeng Long , Hao Wu

Knowledge sharing and model personalization are two key components in the conceptual framework of personalized federated learning (PFL). Existing PFL methods focus on proposing new model personalization mechanisms while simply implementing…

Machine Learning · Computer Science 2022-05-03 Fengwen Chen , Guodong Long , Zonghan Wu , Tianyi Zhou , Jing Jiang

Gaussian Graphical Models (GGMs) are popular tools for studying network structures. However, many modern applications such as gene network discovery and social interactions analysis often involve high-dimensional noisy data with outliers or…

Machine Learning · Statistics 2015-10-30 Eunho Yang , Aurélie C. Lozano

Federated learning (FL) has emerged as a widely adopted training paradigm for privacy-preserving machine learning. While the SGD-based FL algorithms have demonstrated considerable success in the past, there is a growing trend towards…

Machine Learning · Computer Science 2024-07-29 Yujia Wang , Shiqiang Wang , Songtao Lu , Jinghui Chen

Federated Learning (FL) has become a key choice for distributed machine learning. Initially focused on centralized aggregation, recent works in FL have emphasized greater decentralization to adapt to the highly heterogeneous network edge.…

Machine Learning · Computer Science 2022-12-15 Ahnaf Hannan Lodhi , Barış Akgün , Öznur Özkasap

Coalition formation typically involves the coming together of multiple, heterogeneous, agents to achieve both their individual and collective goals. In this paper, we focus on a special case of coalition formation known as Graph-Constrained…

L1 -penalized regression methods such as the Lasso (Tibshirani 1996) that achieve both variable selection and shrinkage have been very popular. An extension of this method is the Fused Lasso (Tibshirani and Wang 2007), which allows for the…

Computation · Statistics 2010-12-01 Holger Höfling , Harald Binder , Martin Schumacher

Federated Learning (FL) is popular for its privacy-preserving and collaborative learning capabilities. Recently, personalized FL (pFL) has received attention for its ability to address statistical heterogeneity and achieve personalization…

Machine Learning · Computer Science 2023-10-17 Jianqing Zhang , Yang Hua , Hao Wang , Tao Song , Zhengui Xue , Ruhui Ma , Jian Cao , Haibing Guan
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