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Related papers: SimRank Computation on Uncertain Graphs

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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

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

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

This paper presents a deterministic linear time complexity IDE-SimRank method to approximately compute SimRank with proved error bound. SimRank is a well-known similarity measure between graph vertices which relies on graph topology only…

Data Structures and Algorithms · Computer Science 2015-02-26 I. V. Oseledets , G. V. Ovchinnikov , A. M. Katrutsa

Graph embedding based on random-walks supports effective solutions for many graph-related downstream tasks. However, the abundance of embedding literature has made it increasingly difficult to compare existing methods and to identify…

Machine Learning · Computer Science 2021-10-26 Zexi Huang , Arlei Silva , Ambuj Singh

SimRank is a popular measurement for evaluating the node-to-node similarities based on the graph topology. In recent years, single-source and top-$k$ SimRank queries have received increasing attention due to their applications in web…

Data Structures and Algorithms · Computer Science 2020-06-19 Hanzhi Wang , Zhewei Wei , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

SimRank is one of the most fundamental measures that evaluate the structural similarity between two nodes in a graph and has been applied in a plethora of data management tasks. These tasks often involve single-source SimRank computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-11 Siqiang Luo , Zulun Zhu

In relation extraction, a key process is to obtain good detectors that find relevant sentences describing the target relation. To minimize the necessity of labeled data for refining detectors, previous work successfully made use of…

Computation and Language · Computer Science 2016-09-19 Shinichi Nakajima , Sebastian Krause , Dirk Weissenborn , Sven Schmeier , Nico Goernitz , Feiyu Xu

{\it SimRank} is a classic measure of the similarities of nodes in a graph. Given a node $u$ in graph $G =(V, E)$, a {\em single-source SimRank query} returns the SimRank similarities $s(u, v)$ between node $u$ and each node $v \in V$. This…

Data Structures and Algorithms · Computer Science 2019-05-08 Zhewei Wei , Xiaodong He , Xiaokui Xiao , Sibo Wang , Yu Liu , Xiaoyong Du , Ji-Rong Wen

Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

Quantum walks on graphs are ubiquitous in quantum computing finding a myriad of applications. Likewise, random walks on graphs are a fundamental building block for a large number of algorithms with diverse applications. While the…

Quantum Physics · Physics 2020-12-09 Matheus G. Andrade , Franklin Marquezino , Daniel R. Figueiredo

We study in-network computation on general network topologies. Specifically, we are given the description of a function, and a network with distinct nodes at which the operands of the function are made available, and a designated sink where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 Iqra Altaf Gillani , Pooja Vyavahare , Amitabha Bagchi

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

We present new, more efficient algorithms for estimating random walk scores such as Personalized PageRank from a given source node to one or several target nodes. These scores are useful for personalized search and recommendations on…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren

A random walk is known as a random process which describes a path including a succession of random steps in the mathematical space. It has increasingly been popular in various disciplines such as mathematics and computer science.…

Social and Information Networks · Computer Science 2020-08-11 Feng Xia , Jiaying Liu , Hansong Nie , Yonghao Fu , Liangtian Wan , Xiangjie Kong

Using random walks for sampling has proven advantageous in assessing the characteristics of large and unknown social networks. Several algorithms based on random walks have been introduced in recent years. In the practical application of…

Social and Information Networks · Computer Science 2024-09-18 Tsuyoshi Hasegawa , Shiori Hironaka , Kazuyuki Shudo

We propose a model of random walks on weighted graphs where the weights are interval valued, and connect it to reversible imprecise Markov chains. While the theory of imprecise Markov chains is now well established, this is a first attempt…

Optimization and Control · Mathematics 2016-09-20 Damjan Škulj

Single-source and top-$k$ SimRank queries are two important types of similarity search in graphs with numerous applications in web mining, social network analysis, spam detection, etc. A plethora of techniques have been proposed for these…

Databases · Computer Science 2018-10-30 Yu Liu , Bolong Zheng , Xiaodong He , Zhewei Wei , Xiaokui Xiao , Kai Zheng , Jiaheng Lu

We revisit a simple model class for machine learning on graphs, where a random walk on a graph produces a machine-readable record, and this record is processed by a deep neural network to directly make vertex-level or graph-level…

Machine Learning · Computer Science 2025-03-06 Jinwoo Kim , Olga Zaghen , Ayhan Suleymanzade , Youngmin Ryou , Seunghoon Hong

Large scale complex systems, such as social networks, electrical power grid, database structure, consumption pattern or brain connectivity, are often modeled using network graphs. Valuable insight can be gained by measuring the similarity…

Quantum Physics · Physics 2019-03-01 Callum Schofield , Jingbo B. Wang , Yuying Li
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