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We present applications of the renormalization algorithm with graph enhancement (RAGE). This analysis extends the algorithms and applications given for approaches based on matrix product states introduced in [Phys. Rev. A 79, 022317 (2009)]…

量子物理 · 物理学 2015-03-17 R. Hübener , C. Kruszynska , L. Hartmann , W. Dür , M. B. Plenio , J. Eisert

Graph Neural Networks (GNNs) is an architecture for structural data, and has been adopted in a mass of tasks and achieved fabulous results, such as link prediction, node classification, graph classification and so on. Generally, for a…

机器学习 · 计算机科学 2022-05-12 Ye Tang , Xuesong Yang , Xinrui Liu , Xiwei Zhao , Zhangang Lin , Changping Peng

Graph learning (GL) can dynamically capture the distribution structure (graph structure) of data based on graph convolutional networks (GCN), and the learning quality of the graph structure directly influences GCN for semi-supervised…

计算机视觉与模式识别 · 计算机科学 2020-06-01 Guangfeng Lin , Xiaobing Kang , Kaiyang Liao , Fan Zhao , Yajun Chen

Multiplex graphs capture diverse relations among shared nodes. Most predictors either collapse layers or treat them independently. This loses crucial inter-layer dependencies and struggles with scalability. To overcome this, we frame…

机器学习 · 计算机科学 2025-09-30 Devesh Sharma , Aditya Kishore , Ayush Garg , Debajyoti Mazumder , Debasis Mohapatra , Jasabanta Patro

Hypergraph Neural networks (HyperGNNs) and hypergraph signal denoising (HyperGSD) are two fundamental topics in higher-order network modeling. Understanding the connection between these two domains is particularly useful for designing novel…

机器学习 · 计算机科学 2023-09-18 Fuli Wang , Karelia Pena-Pena , Wei Qian , Gonzalo R. Arce

Gaussian graphical models are widely used to represent conditional dependence among random variables. In this paper, we propose a novel estimator for data arising from a group of Gaussian graphical models that are themselves dependent. A…

机器学习 · 统计学 2016-09-01 Yuying Xie , Yufeng Liu , William Valdar

Accurate electricity demand forecasting is essential for several reasons, especially as the integration of renewable energy sources and the transition to a decentralized network paradigm introduce greater complexity and uncertainty. The…

机器学习 · 计算机科学 2026-05-12 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Argyris Kalogeratos

Despite the omnipresence of tensors and tensor operations in modern deep learning, the use of tensor mathematics to formally design and describe neural networks is still under-explored within the deep learning community. To this end, we…

机器学习 · 计算机科学 2023-03-27 Yao Lei Xu , Kriton Konstantinidis , Danilo P. Mandic

We introduce a unified framework, formulated as general latent space models, to study complex higher-order network interactions among multiple entities. Our framework covers several popular models in recent network analysis literature,…

机器学习 · 计算机科学 2021-07-01 Zhongyuan Lyu , Dong Xia , Yuan Zhang

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

机器学习 · 计算机科学 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Signal processing over single-layer graphs has become a mainstream tool owing to its power in revealing obscure underlying structures within data signals. However, many real-life datasets and systems, {including those in Internet of Things…

信号处理 · 电气工程与系统科学 2022-11-02 Songyang Zhang , Qinwen Deng , Zhi Ding

Regression models applied to network data where node attributes are the dependent variables poses a methodological challenge. As has been well studied, naive regression neither properly accounts for community structure, nor does it account…

统计方法学 · 统计学 2024-02-16 Riddhi Pratim Ghosh , Jukka-Pekka Onnela , Ian Barnett

Research on graph representation learning has received great attention in recent years. However, most of the studies so far have focused on the embedding of single-layer graphs. The few studies dealing with the problem of representation…

机器学习 · 计算机科学 2022-06-28 Luca Gallo , Vito Latora , Alfredo Pulvirenti

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

社会与信息网络 · 计算机科学 2020-11-12 Giuseppe Pirrò

GNNs have been proven to perform highly effective in various node-level, edge-level, and graph-level prediction tasks in several domains. Existing approaches mainly focus on static graphs. However, many graphs change over time with their…

机器学习 · 计算机科学 2022-06-22 Bahareh Najafi , Saeedeh Parsaeefard , Alberto Leon-Garcia

Multilayer networks proved to be suitable in extracting and providing dependency information of different complex systems. The construction of these networks is difficult and is mostly done with a static approach, neglecting time delayed…

风险管理 · 定量金融 2020-04-14 Giuseppe Brandi , T. Di Matteo

Modern graph representation learning works mostly under the assumption of dealing with regularly sampled temporal graph snapshots, which is far from realistic, e.g., social networks and physical systems are characterized by continuous…

机器学习 · 计算机科学 2024-09-11 Alessio Gravina , Daniele Zambon , Davide Bacciu , Cesare Alippi

Network embedding is an effective way to solve the network analytics problems such as node classification, link prediction, etc. It represents network elements using low dimensional vectors such that the graph structural information and…

社会与信息网络 · 计算机科学 2019-09-04 Yucheng Lin , Xiaoqing Yang , Zang Li , Jieping Ye

Multi-view learning techniques have recently gained significant attention in the machine learning domain for their ability to leverage consistency and complementary information across multiple views. However, there remains a lack of…

机器学习 · 计算机科学 2023-09-20 Xiangzhu Meng , Wei Wei , Qiang Liu , Shu Wu , Liang Wang

One significant challenge of exploiting Graph neural networks (GNNs) in real-life scenarios is that they are always treated as black boxes, therefore leading to the requirement of interpretability. To address this, model-level…

机器学习 · 计算机科学 2025-09-22 Xiao Yue , Guangzhi Qu , Lige Gan