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We explain Poisson learning on graph-based semi-supervised learning to see if it could avoid the problem of global information loss problem as Laplace-based learning methods on large graphs. From our analysis, Poisson learning is simply…

Machine Learning · Statistics 2022-03-14 Canh Hao Nguyen

We generalize a graph-based multiclass semi-supervised classification technique based on diffuse interface methods to multilayer graphs. Besides the treatment of various applications with an inherent multilayer structure, we present a very…

Machine Learning · Computer Science 2022-03-24 Kai Bergermann , Martin Stoll , Toni Volkmer

The recent promising achievements of deep learning rely on the large amount of labeled data. Considering the abundance of data on the web, most of them do not have labels at all. Therefore, it is important to improve generalization…

Neural and Evolutionary Computing · Computer Science 2016-01-20 Sheng-Yi Bai , Sebastian Agethen , Ting-Hsuan Chao , Winston Hsu

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

Representing a graph as a vector is a challenging task; ideally, the representation should be easily computable and conducive to efficient comparisons among graphs, tailored to the particular data and analytical task at hand. Unfortunately,…

Social and Information Networks · Computer Science 2018-11-16 Anton Tsitsulin , Davide Mottin , Panagiotis Karras , Alex Bronstein , Emmanuel Müller

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding…

Numerical Analysis · Mathematics 2022-11-30 Farid Bozorgnia , Morteza Fotouhi , Avetik Arakelyan , Abderrahim Elmoataz

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

For semi-supervised learning on graphs, we study how initial kernels in a supervised learning regime can be augmented with additional information from known priors or from unsupervised learning outputs. These augmented kernels are…

Machine Learning · Computer Science 2020-03-18 Wolfgang Erb

Graph condensation aims to reduce the size of a large-scale graph dataset by synthesizing a compact counterpart without sacrificing the performance of Graph Neural Networks (GNNs) trained on it, which has shed light on reducing the…

Machine Learning · Computer Science 2024-06-19 Yuchen Zhang , Tianle Zhang , Kai Wang , Ziyao Guo , Yuxuan Liang , Xavier Bresson , Wei Jin , Yang You

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

Graph convolutional networks have been successful in addressing graph-based tasks such as semi-supervised node classification. Existing methods use a network structure defined by the user based on experimentation with fixed number of layers…

Machine Learning · Computer Science 2021-01-21 Negar Heidari , Alexandros Iosifidis

In recent years, graph neural networks (GNNs) have been widely adopted in the representation learning of graph-structured data and provided state-of-the-art performance in various applications such as link prediction, node classification,…

Machine Learning · Computer Science 2021-04-14 Dasol Hwang , Jinyoung Park , Sunyoung Kwon , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

Graph representation learning has attracted lots of attention recently. Existing graph neural networks fed with the complete graph data are not scalable due to limited computation and memory costs. Thus, it remains a great challenge to…

Machine Learning · Computer Science 2020-11-24 Yizhu Jiao , Yun Xiong , Jiawei Zhang , Yao Zhang , Tianqi Zhang , Yangyong Zhu

The ever-increasing size of modern data sets combined with the difficulty of obtaining label information has made semi-supervised learning one of the problems of significant practical importance in modern data analysis. We revisit the…

Machine Learning · Computer Science 2014-11-06 Diederik P. Kingma , Danilo J. Rezende , Shakir Mohamed , Max Welling

Despite the success of Graph Neural Networks (GNNs) on various applications, GNNs encounter significant performance degradation when the amount of supervision signals, i.e., number of labeled nodes, is limited, which is expected as GNNs are…

Machine Learning · Computer Science 2022-04-29 Junseok Lee , Yunhak Oh , Yeonjun In , Namkyeong Lee , Dongmin Hyun , Chanyoung Park

How can we find the right graph for semi-supervised learning? In real world applications, the choice of which edges to use for computation is the first step in any graph learning process. Interestingly, there are often many types of…

Machine Learning · Computer Science 2020-07-24 Jonathan Halcrow , Alexandru Moşoi , Sam Ruth , Bryan Perozzi

We investigate how generative adversarial nets (GANs) can help semi-supervised learning on graphs. We first provide insights on working principles of adversarial learning over graphs and then present GraphSGAN, a novel approach to…

Social and Information Networks · Computer Science 2018-09-05 Ming Ding , Jie Tang , Jie Zhang

Self-supervised learning is currently gaining a lot of attention, as it allows neural networks to learn robust representations from large quantities of unlabeled data. Additionally, multi-task learning can further improve representation…

Machine Learning · Computer Science 2020-12-07 Franco Manessi , Alessandro Rozza

Green's function provides an inherent connection between theoretical analysis and numerical methods for elliptic partial differential equations, and general absence of its closed-form expression necessitates surrogate modeling to guide the…

Numerical Analysis · Mathematics 2025-09-16 Qi Sun , Shengyan Li , Bowen Zheng , Lili Ju , Xuejun Xu