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This paper investigates the use of methods from partial differential equations and the Calculus of variations to study learning problems that are regularized using graph Laplacians. Graph Laplacians are a powerful, flexible method for…

机器学习 · 统计学 2020-06-30 Nicolas Garcia Trillos , Ryan Murray

We introduce a novel approach to graph-level representation learning, which is to embed an entire graph into a vector space where the embeddings of two graphs preserve their graph-graph proximity. Our approach, UGRAPHEMB, is a general…

机器学习 · 计算机科学 2019-06-04 Yunsheng Bai , Hao Ding , Yang Qiao , Agustin Marinovic , Ken Gu , Ting Chen , Yizhou Sun , Wei Wang

The proliferation of generative video models has made detecting AI-generated and manipulated videos an urgent challenge. Existing detection approaches often fail to generalize across diverse manipulation types due to their reliance on…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Haoyu Liu , Chaoyu Gong , Mengke He , Jiate Li , Kai Han , Siqiang Luo

Analysis of signals defined on complex topologies modeled by graphs is a topic of increasing interest. Signal decomposition plays a crucial role in the representation and processing of such information, in particular, to process graph…

信号处理 · 电气工程与系统科学 2025-02-18 Harry H. Behjat , Carl-Fredrik Westin , Rik Ossenkoppele , Dimitri Van De Ville

Graph neural networks (GNNs) and heterogeneous graph neural networks (HGNNs) are prominent techniques for homogeneous and heterogeneous graph representation learning, yet their performance in an end-to-end supervised framework greatly…

机器学习 · 计算机科学 2024-08-27 Xingtong Yu , Yuan Fang , Zemin Liu , Xinming Zhang

Graph Neural Networks (GNNs) have become widely-used models for semi-supervised learning. However, the robustness of GNNs in the presence of label noise remains a largely under-explored problem. In this paper, we consider an important yet…

机器学习 · 计算机科学 2023-02-28 Siyi Qian , Haochao Ying , Renjun Hu , Jingbo Zhou , Jintai Chen , Danny Z. Chen , Jian Wu

We consider the general problem of utilizing both labeled and unlabeled data to improve data representation performance. A new semi-supervised learning framework is proposed by combing manifold regularization and data representation methods…

机器学习 · 计算机科学 2015-02-16 Weiya Ren

Semi-supervised Laplacian regularization, a standard graph-based approach for learning from both labelled and unlabelled data, was recently demonstrated to have an insignificant high dimensional learning efficiency with respect to…

机器学习 · 计算机科学 2020-06-16 Xiaoyi Mai , Romain Couillet

Graph pre-training strategies have been attracting a surge of attention in the graph mining community, due to their flexibility in parameterizing graph neural networks (GNNs) without any label information. The key idea lies in encoding…

机器学习 · 计算机科学 2022-08-23 Dawei Zhou , Lecheng Zheng , Dongqi Fu , Jiawei Han , Jingrui He

Graph neural networks (GNNs) are widely applied in graph data modeling. However, existing GNNs are often trained in a task-driven manner that fails to fully capture the intrinsic nature of the graph structure, resulting in sub-optimal node…

机器学习 · 计算机科学 2024-07-17 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

We propose a novel approach for visual representation learning called Signature-Graph Neural Networks (SGN). SGN learns latent global structures that augment the feature representation of Convolutional Neural Networks (CNN). SGN constructs…

计算机视觉与模式识别 · 计算机科学 2021-10-25 Ali Hamdi , Flora Salim , Du Yong Kim , Xiaojun Chang

Graph-based techniques and spectral graph theory have enriched the field of machine learning with a variety of critical advances. A central object in the analysis is the graph Laplacian L, which encodes the structure of the graph. We…

机器学习 · 计算机科学 2026-04-23 Daniele Calandriello , Ioannis Koutis , Alessandro Lazaric , Michal Valko

Graph representation learning (GRL) is critical for graph-structured data analysis. However, most of the existing graph neural networks (GNNs) heavily rely on labeling information, which is normally expensive to obtain in the real world.…

机器学习 · 计算机科学 2022-11-22 Yizhen Zheng , Ming Jin , Shirui Pan , Yuan-Fang Li , Hao Peng , Ming Li , Zhao Li

With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better predictions. Traditionally, relational data has been a source of various insights, but with the increase in…

机器学习 · 计算机科学 2024-10-01 Anuj Kumar Sirohi , Subhanu Halder , Kabir Kumar , Sandeep Kumar

Graph anomaly detection (GAD) has gained increasing attention in recent years due to its critical application in a wide range of domains, such as social networks, financial risk management, and traffic analysis. Existing GAD methods can be…

社会与信息网络 · 计算机科学 2023-11-21 Jie Liu , Mengting He , Xuequn Shang , Jieming Shi , Bin Cui , Hongzhi Yin

With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better predictions. Traditionally, relational data has been a source of various insights, but with the increase in…

机器学习 · 计算机科学 2025-11-11 Anuj Kumar Sirohi , Subhanu Halder , Kabir Kumar , Sandeep Kumar

Generic deep learning (DL) networks for image restoration like denoising and interpolation lack mathematical interpretability, require voluminous training data to tune a large parameter set, and are fragile in the face of covariate shift.…

图像与视频处理 · 电气工程与系统科学 2025-03-13 Jianghe Cai , Gene Cheung , Fei Chen

Attempting to fully exploit the rich information of topological structure and node features for attributed graph, we introduce self-supervised learning mechanism to graph representation learning and propose a novel Self-supervised Consensus…

社会与信息网络 · 计算机科学 2021-08-12 Changshu Liu , Liangjian Wen , Zhao Kang , Guangchun Luo , Ling Tian

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…

机器学习 · 计算机科学 2020-11-24 Yizhu Jiao , Yun Xiong , Jiawei Zhang , Yao Zhang , Tianqi Zhang , Yangyong Zhu

Several graph data mining, signal processing, and machine learning downstream tasks rely on information related to the eigenvectors of the associated adjacency or Laplacian matrix. Classical eigendecomposition methods are powerful when the…