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Personalized PageRank (PPR) is a widely used node proximity measure in graph mining and network analysis. Given a source node $s$ and a target node $t$, the PPR value $\pi(s,t)$ represents the probability that a random walk from $s$…

Data Structures and Algorithms · Computer Science 2020-06-25 Hanzhi Wang , Zhewei Wei , Junhao Gan , Sibo Wang , Zengfeng Huang

The paper utilizes the graph embeddings generated for entities of a large biomedical database to perform link prediction to capture various new relationships among different entities. A novel node similarity measure is proposed that…

Information Retrieval · Computer Science 2021-11-01 Prakhar Gurawa , Matthias Nickles

Dimensionality reduction (DR) of image features plays an important role in image retrieval and classification tasks. Recently, two types of methods have been proposed to improve the both the accuracy and efficiency for the dimensionality…

Computer Vision and Pattern Recognition · Computer Science 2013-04-10 Yao Nan , Qian Feng , Sun Zuolei

The robustness and resilience of complex systems are crucial for maintaining functionality amid disruptions or intentional attacks. Many such systems can be modeled as networks, where identifying structurally central nodes is essential for…

Physics and Society · Physics 2025-09-30 Ru Zheng , Marcus Engsig , Alejandro Tejedor , Yamir Moreno

Typing Yesterday into the search-bar of your browser provides a long list of websites with, in top places, a link to a video by The Beatles. The order your browser shows its search results is a notable example of the use of network…

Applications · Statistics 2018-10-17 Carla Sciarra , Guido Chiarotti , Francesco Laio , Luca Ridolfi

To rank nodes in quasi-hierarchical networks of social nature, it is necessary to carry out a detailed analysis of the network and evaluate the results obtained according to all the given criteria and identify the most influential nodes.…

Social and Information Networks · Computer Science 2017-11-16 A. M. Soboliev , D. V. Lande

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

In recent decades, a number of centrality metrics describing network properties of nodes have been proposed to rank the importance of nodes. In order to understand the correlations between centrality metrics and to approximate a…

Physics and Society · Physics 2016-11-04 Cong Li , Qian Li , Piet Van Mieghem , H. Eugene Stanley , Huijuan Wang

In this paper, we consider the problem of diversity in ranking of the nodes in a graph. The task is to pick the top-k nodes in the graph which are both 'central' and 'diverse'. Many graph-based models of NLP like text summarization, opinion…

Information Retrieval · Computer Science 2015-03-20 Rama Badrinath , C. E. Veni Madhavan

How can we estimate the importance of nodes in a knowledge graph (KG)? A KG is a multi-relational graph that has proven valuable for many tasks including question answering and semantic search. In this paper, we present GENI, a method for…

Machine Learning · Computer Science 2019-06-18 Namyong Park , Andrey Kan , Xin Luna Dong , Tong Zhao , Christos Faloutsos

In this work, we aim to classify nodes of unstructured peer-to-peer networks with communication uncertainty, such as users of decentralized social networks. Graph Neural Networks (GNNs) are known to improve the accuracy of simple…

Machine Learning · Computer Science 2022-03-17 Emmanouil Krasanakis , Symeon Papadopoulos , Ioannis Kompatsiaris

Knowledge graphs enable a wide variety of applications, including question answering and information retrieval. Despite the great effort invested in their creation and maintenance, even the largest (e.g., Yago, DBPedia or Wikidata) remain…

Machine Learning · Statistics 2017-10-30 Michael Schlichtkrull , Thomas N. Kipf , Peter Bloem , Rianne van den Berg , Ivan Titov , Max Welling

Embedding graph nodes into a vector space can allow the use of machine learning to e.g. predict node classes, but the study of node embedding algorithms is immature compared to the natural language processing field because of a diverse…

Machine Learning · Computer Science 2018-02-20 Kento Nozawa , Masanari Kimura , Atsunori Kanemura

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

Physics and Society · Physics 2007-05-23 Pan-Jun Kim , Hawoong Jeong

Partially-observed network data collected by link-tracing based sampling methods is often being studied to obtain the characteristics of a large complex network. However, little attention has been paid to sampling from directed networks…

Social and Information Networks · Computer Science 2014-05-28 Mostafa Salehi , Hamid R. Rabiee

Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

Probability · Mathematics 2014-02-03 Nelly Litvak , Remco van der Hofstad

A new measure to assess the centrality of vertices in an undirected and connected graph is proposed. The proposed measure, L1 centrality, can adequately handle graphs with weights assigned to vertices and edges. The study provides tools for…

Methodology · Statistics 2024-04-23 Seungwoo Kang , Hee-Seok Oh

A key measure that has been used extensively in analyzing complex networks is the degree of a node (the number of the node's neighbors). Because of its discrete nature, when the degree measure was used in analyzing weighted networks,…

Physics and Society · Physics 2009-04-15 Sherief Abdallah

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

Disordered Systems and Neural Networks · Physics 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora