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SimRank is a well-known similarity measure between graph vertices. In this paper novel low-rank approximation of SimRank is proposed.

Data Structures and Algorithms · Computer Science 2014-10-06 I. V. Oseledets , G. V. Ovchinnikov

Similarity is a comparative-subjective measure that varies with the domain within which it is considered. In several NLP applications such as document classification, pattern recognition, chatbot question-answering, sentiment analysis,…

Machine Learning · Computer Science 2021-11-11 Manuela Nayantara Jeyaraj , Dharshana Kasthurirathna

Similarity search is an important function in many applications, which usually focuses on measuring the similarity between objects with the same type. However, in many scenarios, we need to measure the relatedness between objects with…

Information Retrieval · Computer Science 2013-10-01 Chuan Shi , Xiangnan Kong , Yue Huang , Philip S. Yu , Bin Wu

Analogical reasoning depends fundamentally on the ability to learn and generalize about relations between objects. We develop an approach to relational learning which, given a set of pairs of objects…

Methodology · Statistics 2013-08-30 Ricardo Silva , Katherine Heller , Zoubin Ghahramani , Edoardo M. Airoldi

Measuring the similarities between objects in information networks has fundamental importance in recommendation systems, clustering and web search. The existing metrics depend on the meta path or meta structure specified by users. In this…

Databases · Computer Science 2018-01-30 Yu Zhou , Jianbin Huang , Heli Sun

We consider methods for quantifying the similarity of vertices in networks. We propose a measure of similarity based on the concept that two vertices are similar if their immediate neighbors in the network are themselves similar. This leads…

Physics and Society · Physics 2007-05-23 E. A. Leicht , Petter Holme , M. E. J. Newman

In recent years, networks with higher-order interactions have emerged as a powerful tool to model complex systems. Comparing these higher-order systems remains however a challenge. Traditional similarity measures designed for pairwise…

Physics and Society · Physics 2026-02-24 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Most real systems consist of a large number of interacting, multi-typed components, while most contemporary researches model them as homogeneous networks, without distinguishing different types of objects and links in the networks.…

Social and Information Networks · Computer Science 2015-11-17 Chuan Shi , Yitong Li , Jiawei Zhang , Yizhou Sun , Philip S. Yu

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

SimRank is a widely studied link-based similarity measure that is known for its simple, yet powerful philosophy that two nodes are similar if they are referenced by similar nodes. While this philosophy has been the basis of several…

Social and Information Networks · Computer Science 2019-07-08 Sai Kiran Narayanaswami , Balaraman Ravindran , Venkatesh Ramaiyan

Measure the similarity of the nodes in the complex networks have interested many researchers to explore it. In this paper, a new method which is based on the degree centrality and the Relative-entropy is proposed to measure the similarity…

Social and Information Networks · Computer Science 2015-02-04 Qi Zhang , Meizhu Li , Yong Deng , Sankaran Mahadevan

We study the problem of identifying different behaviors occurring in different parts of a large heterogenous network. We zoom in to the network using lenses of different sizes to capture the local structure of the network. These network…

Social and Information Networks · Computer Science 2019-01-29 Kshiteesh Hegde , Malik Magdon-Ismail

We propose a similarity-based method, using the similarity between nodes, to address the problem of classification in partially labeled networks. The basic assumption is that two nodes are more likely to be categorized into the same class…

Data Analysis, Statistics and Probability · Physics 2010-10-05 Qian-Ming Zhang , Ming-Sheng Shang , Linyuan Lu

This paper proposes basic definitions of similarity and similarity indexes between heterogeneous linear systems and presents a similarity-based learning control strategy. By exploring geometric properties of admissible behaviors of linear…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Chenchao Wang , Deyuan Meng

Similarity index measures the topological proximity of node pairs in a complex network. Numerous similarity indices have been defined and investigated, but the dependency of structure on the performance of similarity indices has not been…

Physics and Society · Physics 2018-12-05 Min-Woo Ahn , Woo-Sung Jung

Recently, there is a surge of social recommendation, which leverages social relations among users to improve recommendation performance. However, in many applications, social relations are absent or very sparse. Meanwhile, the attribute…

Social and Information Networks · Computer Science 2015-11-13 Chuan Shi , Jian Liu , Fuzhen Zhuang , Philip S. Yu , Bin Wu

Entity information network is used to describe structural relationships between entities. Taking advantage of its extension and heterogeneity, entity information network is more and more widely applied to relationship modeling. Recent…

Information Retrieval · Computer Science 2017-10-11 Liang Yin , Li-Chen Shi , Jun-Yan Zhao , Song-Yang Du , Wen-Bo Xie , Duan-Bing Chen

In many applications involving multi-media data, the definition of similarity between items is integral to several key tasks, e.g., nearest-neighbor retrieval, classification, and recommendation. Data in such regimes typically exhibits…

Artificial Intelligence · Computer Science 2010-09-01 Brian McFee , Gert Lanckriet

Comparing networks is essential for a number of downstream tasks, from clustering to anomaly detection. Despite higher-order interactions being critical for understanding the dynamics of complex systems, traditional approaches for network…

Physics and Society · Physics 2025-11-03 Helcio Felippe , Alec Kirkley , Federico Battiston

This paper presents a new measure of semantic similarity in an IS-A taxonomy, based on the notion of information content. Experimental evaluation suggests that the measure performs encouragingly well (a correlation of r = 0.79 with a…

cmp-lg · Computer Science 2008-02-03 Philip Resnik
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