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Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

Active learning (AL) on attributed graphs has received increasing attention with the prevalence of graph-structured data. Although AL has been widely studied for alleviating label sparsity issues with the conventional non-related data, how…

Machine Learning · Computer Science 2020-08-07 Yayong Li , Jie Yin , Ling Chen

Graph Neural Networks (GNNs) have been widely applied in the semi-supervised node classification task, where a key point lies in how to sufficiently leverage the limited but valuable label information. Most of the classical GNNs solely use…

Machine Learning · Computer Science 2022-12-26 Le Yu , Leilei Sun , Bowen Du , Tongyu Zhu , Weifeng Lv

We present a semi-supervised learning framework based on graph embeddings. Given a graph between instances, we train an embedding for each instance to jointly predict the class label and the neighborhood context in the graph. We develop…

Machine Learning · Computer Science 2016-05-30 Zhilin Yang , William W. Cohen , Ruslan Salakhutdinov

In this paper, we propose a novel graph-based approach for semi-supervised learning problems, which considers an adaptive adjacency of the examples throughout the unsupervised portion of the training. Adjacency of the examples is inferred…

Machine Learning · Computer Science 2020-08-06 Ozsel Kilinc , Ismail Uysal

Semi-supervised learning (SSL) is an indispensable tool when there are few labeled entities and many unlabeled entities for which we want to predict labels. With graph-based methods, entities correspond to nodes in a graph and edges…

Machine Learning · Computer Science 2017-01-23 Edith Cohen

We propose a sampling theory for signals that are supported on either directed or undirected graphs. The theory follows the same paradigm as classical sampling theory. We show that perfect recovery is possible for graph signals bandlimited…

Information Theory · Computer Science 2016-11-15 Siheng Chen , Rohan Varma , Aliaksei Sandryhaila , Jelena Kovačević

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Hector Chahuara , Gonzalo Mateos

A new scheme to sample signals defined in the nodes of a graph is proposed. The underlying assumption is that such signals admit a sparse representation in a frequency domain related to the structure of the graph, which is captured by the…

Social and Information Networks · Computer Science 2016-04-20 Antonio G. Marques , Santiago Segarra , Geert Leus , Alejandro Ribeiro

We develop graph-based methods for semi-supervised learning based on label propagation on a data similarity graph. When data is abundant or arrive in a stream, the problems of computation and data storage arise for any graph-based method.…

Machine Learning · Computer Science 2026-05-06 Michal Valko

While a common assumption in graph signal analysis is the smoothness of the signals or the band-limitedness of their spectrum, in many instances the spectrum of real graph data may be concentrated at multiple regions of the spectrum,…

Machine Learning · Statistics 2025-02-20 Osman Furkan Kar , Gülce Turhan , Elif Vural

Node classification in attributed graphs is an important task in multiple practical settings, but it can often be difficult or expensive to obtain labels. Active learning can improve the achieved classification performance for a given…

Machine Learning · Computer Science 2020-07-13 Florence Regol , Soumyasundar Pal , Yingxue Zhang , Mark Coates

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

Machine Learning · Statistics 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

In this paper, we extend the sampling theory on graphs by constructing a framework that exploits the structure in product graphs for efficient sampling and recovery of bandlimited graph signals that lie on them. Product graphs are graphs…

Information Theory · Computer Science 2018-09-27 Rohan Varma , Jelena Kovačević

A common assumption in semi-supervised learning with graph models is that the class label function varies smoothly on the data graph, resulting in the rather strict prior that the label function has low-frequency content. Meanwhile, in many…

Machine Learning · Statistics 2020-02-05 Mehmet Pilanci , Elif Vural

In machine learning, one must acquire labels to help supervise a model that will be able to generalize to unseen data. However, the labeling process can be tedious, long, costly, and error-prone. It is often the case that most of our data…

Machine Learning · Computer Science 2020-09-29 Bruno Klaus de Aquino Afonso , Lilian Berton

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

In this paper, we consider the interpretability of the foundational Laplacian-based semi-supervised learning approaches on graphs. We introduce a novel flow-based learning framework that subsumes the foundational approaches and additionally…

Machine Learning · Statistics 2019-01-14 Raif M. Rustamov , James T. Klosowski

Deep learning on graphs has attracted significant interests recently. However, most of the works have focused on (semi-) supervised learning, resulting in shortcomings including heavy label reliance, poor generalization, and weak…

Machine Learning · Computer Science 2022-05-05 Yixin Liu , Ming Jin , Shirui Pan , Chuan Zhou , Yu Zheng , Feng Xia , Philip S. Yu