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The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

We propose methods for distributed graph-based multi-task learning that are based on weighted averaging of messages from other machines. Uniform averaging or diminishing stepsize in these methods would yield consensus (single task)…

Machine Learning · Statistics 2018-02-13 Weiran Wang , Jialei Wang , Mladen Kolar , Nathan Srebro

A graph-based classification method is proposed for semi-supervised learning in the case of Euclidean data and for classification in the case of graph data. Our manifold learning technique is based on a convex optimization problem involving…

Machine Learning · Computer Science 2019-01-29 Carlos M. Alaíz , Michaël Fanuel , Johan A. K. Suykens

Many score-based active learning methods have been successfully applied to graph-structured data, aiming to reduce the number of labels and achieve better performance of graph neural networks based on predefined score functions. However,…

Machine Learning · Computer Science 2023-04-25 Yinchuan Li , Zhigang Li , Wenqian Li , Yunfeng Shao , Yan Zheng , Jianye Hao

State-of-the-art machine learning models require access to significant amount of annotated data in order to achieve the desired level of performance. While unlabelled data can be largely available and even abundant, annotation process can…

Machine Learning · Computer Science 2020-10-15 Rahaf Aljundi , Nikolay Chumerin , Daniel Olmeda Reino

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

Machine Learning · Computer Science 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

Training multimodal networks requires a vast amount of data due to their larger parameter space compared to unimodal networks. Active learning is a widely used technique for reducing data annotation costs by selecting only those samples…

Multimedia · Computer Science 2023-08-22 Meng Shen , Yizheng Huang , Jianxiong Yin , Heqing Zou , Deepu Rajan , Simon See

We propose a supervised learning approach for predicting an underlying graph from a set of graph signals. Our approach is based on linear regression. In the linear regression model, we predict edge-weights of a graph as the output, given a…

Information Theory · Computer Science 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

Graph neural networks (GNNs), which learn the node representations by recursively aggregating information from its neighbors, have become a predominant computational tool in many domains. To handle large-scale graphs, most of the existing…

Machine Learning · Computer Science 2021-09-01 Kaixiong Zhou , Ninghao Liu , Fan Yang , Zirui Liu , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu

Polynomial graph filters have been widely used as guiding principles in the design of Graph Neural Networks (GNNs). Recently, the adaptive learning of the polynomial graph filters has demonstrated promising performance for modeling graph…

Machine Learning · Computer Science 2023-07-18 Wendi Yu , Zhichao Hou , Xiaorui Liu

Learning the graph underlying a networked system from nodal signals is crucial to downstream tasks in graph signal processing and machine learning. The presence of hidden nodes whose signals are not observable might corrupt the estimated…

Machine Learning · Computer Science 2025-09-19 Hoang-Son Nguyen , Hoi-To Wai

We study the problem of sampling k-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, i.e., independent of the graph structure,…

Social and Information Networks · Computer Science 2016-05-23 Gilles Puy , Nicolas Tremblay , Rémi Gribonval , Pierre Vandergheynst

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

Several sampling algorithms with variance reduction have been proposed for accelerating the training of Graph Convolution Networks (GCNs). However, due to the intractable computation of optimal sampling distribution, these sampling…

Machine Learning · Computer Science 2020-06-12 Ziqi Liu , Zhengwei Wu , Zhiqiang Zhang , Jun Zhou , Shuang Yang , Le Song , Yuan Qi

Graphs are pervasive in the real-world, such as social network analysis, bioinformatics, and knowledge graphs. Graph neural networks (GNNs) have great ability in node classification, a fundamental task on graphs. Unfortunately, conventional…

Machine Learning · Computer Science 2024-09-05 Quan Li , Tianxiang Zhao , Lingwei Chen , Junjie Xu , Suhang Wang

Node classification in graphs aims to predict the categories of unlabeled nodes by utilizing a small set of labeled nodes. However, weighted graphs often contain noisy edges and anomalous edge weights, which can distort fine-grained…

Machine Learning · Computer Science 2025-04-01 Tingting Wang , Jiaxin Su , Haobing Liu , Ruobing Jiang

Deep learning has been shown to be successful in a number of domains, ranging from acoustics, images, to natural language processing. However, applying deep learning to the ubiquitous graph data is non-trivial because of the unique…

Machine Learning · Computer Science 2020-03-16 Ziwei Zhang , Peng Cui , Wenwu Zhu

In this letter, we propose an algorithm for learning a sparse weighted graph by estimating its adjacency matrix under the assumption that the observed signals vary smoothly over the nodes of the graph. The proposed algorithm is based on the…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Ghania Fatima , Aakash Arora , Prabhu Babu , Petre Stoica

Graph Neural Networks have shown excellent performance on semi-supervised classification tasks. However, they assume access to a graph that may not be often available in practice. In the absence of any graph, constructing k-Nearest Neighbor…

Machine Learning · Computer Science 2021-02-23 Vijay Lingam , Arun Iyer , Rahul Ragesh

It is of particular interest to reconstruct or estimate bandlimited graph signals, which are smoothly varying signals defined over graphs, from partial noisy measurements. However, choosing an optimal subset of nodes to sample is NP-hard.…

Signal Processing · Electrical Eng. & Systems 2017-11-21 Xuan Xie , Hui Feng , Junlian Jia , Bo Hu
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