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Optimizing the total cost of power systems is a common tool for network operation and planning. Besides valuable information about how to run and possibly expand a power system, the optimization provides an optimal Locational Marginal Price…

Physics and Society · Physics 2022-03-18 Fabian Hofmann , Markus Schlott

Graph Neural Networks (GNNs) are a new research frontier with various applications and successes. The end-to-end inference for all nodes, is common for GNN embedding models, which are widely adopted in applications like recommendation and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-06 Shiyang Chen , Xiang Song , Vasiloudis Theodore , Hang Liu

In this paper, we consider the problem of recovering a graph that represents the statistical data dependency among nodes for a set of data samples generated by nodes, which provides the basic structure to perform an inference task, such as…

Machine Learning · Statistics 2018-05-01 Hyeryung Jang , HyungSeok Song , Yung Yi

We investigate how the topology of attributed graphs influences the distribution of node attributes. This work offers a novel perspective by treating topology and attributes as structurally distinct but interacting components. We introduce…

Machine Learning · Computer Science 2026-02-03 Amirreza Shiralinasab Langari , Leila Yeganeh , Kim Khoa Nguyen

A novel approach is put forth that utilizes data similarity, quantified on a graph, to improve upon the reconstruction performance of principal component analysis. The tasks of data dimensionality reduction and reconstruction are formulated…

Machine Learning · Statistics 2018-09-26 Ioannis D. Schizas

Edge features contain important information about graphs. However, current state-of-the-art neural network models designed for graph learning, e.g. graph convolutional networks (GCN) and graph attention networks (GAT), adequately utilize…

Machine Learning · Computer Science 2019-01-29 Liyu Gong , Qiang Cheng

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In…

Machine Learning · Statistics 2019-05-16 Aditya Grover , Aaron Zweig , Stefano Ermon

Over the past few years, graph neural networks (GNN) and label propagation-based methods have made significant progress in addressing node classification tasks on graphs. However, in addition to their reliance on elaborate architectures and…

Machine Learning · Computer Science 2021-10-18 Yangkun Wang , Jiarui Jin , Weinan Zhang , Yong Yu , Zheng Zhang , David Wipf

Graph learning is the fundamental task of estimating unknown graph connectivity from available data. Typical approaches assume that not only is all information available simultaneously but also that all nodes can be observed. However, in…

Machine Learning · Computer Science 2024-09-16 Andrei Buciulea , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

We propose a novel approach for learning node representations in directed graphs, which maintains separate views or embedding spaces for the two distinct node roles induced by the directionality of the edges. We argue that the previous…

Social and Information Networks · Computer Science 2019-07-01 Megha Khosla , Jurek Leonhardt , Wolfgang Nejdl , Avishek Anand

The rapid growth of computer systems which generate graph data necessitates employing privacy-preserving mechanisms to protect users' identity. Since structure-based de-anonymization attacks can reveal users' identity's even when the graph…

Cryptography and Security · Computer Science 2019-10-22 Nazanin Takbiri , Xiaozhe Shao , Lixin Gao , Hossein Pishro-Nik

Building upon [1], this study aims to introduce fractal geometry into graph theory, and to establish a potential theoretical foundation for complex networks. Specifically, we employ the method of substitution to create and explore…

Dynamical Systems · Mathematics 2024-05-29 Nero Ziyu Li

Analyzing interconnection structures among underlying entities or objects in a dataset through the use of graph analytics has been shown to provide tremendous value in many application domains. However, graphs are not the primary…

Databases · Computer Science 2017-02-14 Konstantinos Xirogiannopoulos , Amol Deshpande

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

Machine Learning · Statistics 2020-01-24 Stanislav Tsepa , Maxim Panov

In social network, a person located at the periphery region (marginal node) is likely to be treated unfairly when compared with the persons at the center. While existing fairness works on graphs mainly focus on protecting sensitive…

Machine Learning · Computer Science 2023-10-24 Xiaotian Han , Kaixiong Zhou , Ting-Hsiang Wang , Jundong Li , Fei Wang , Na Zou

Recently, there has been great success in applying deep neural networks on graph structured data. Most work, however, focuses on either node- or graph-level supervised learning, such as node, link or graph classification or node-level…

Machine Learning · Computer Science 2021-12-15 Robin Winter , Frank Noé , Djork-Arné Clevert

We consider a cost sharing problem on a weighted undirected graph, where all the nodes want to connect to a special node called source, and they need to share the total cost (weights) of the used edges. Each node except for the source has a…

Computer Science and Game Theory · Computer Science 2023-03-07 Tianyi Zhang , Junyu Zhang , Sizhe Gu , Dengji Zhao

Node features bolster graph-based learning when exploited jointly with network structure. However, a lack of nodal attributes is prevalent in graph data. We present a framework to recover completely missing node features for a set of…

Machine Learning · Computer Science 2023-09-19 Victor M. Tenorio , Madeline Navarro , Santiago Segarra , Antonio G. Marques

Mining graph data has become a popular research topic in computer science and has been widely studied in both academia and industry given the increasing amount of network data in the recent years. However, the huge amount of network data…

Machine Learning · Computer Science 2020-01-03 Wenwu Zhu , Xin Wang , Peng Cui

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic…

Machine Learning · Computer Science 2024-06-14 Hang Gao , Peng Qiao , Yifan Jin , Fengge Wu , Jiangmeng Li , Changwen Zheng
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