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Here we propose a new method to compare the modular structure of a pair of node-aligned networks. The majority of current methods, such as normalized mutual information, compare two node partitions derived from a community detection…

Physics and Society · Physics 2020-10-14 Daniel Straulino , Mattie Landman , Neave O'Clery

Graphical models are frequently used to represent topological structures of various complex networks. Current criteria to assess different models of a network mainly rely on how close a model matches the network in terms of topological…

Networking and Internet Architecture · Computer Science 2015-03-17 Zhengping Fan , Guanrong Chen , Yunong Zhang

Image-generating machine learning models are typically trained with loss functions based on distance in the image space. This often leads to over-smoothed results. We propose a class of loss functions, which we call deep perceptual…

Machine Learning · Computer Science 2016-02-10 Alexey Dosovitskiy , Thomas Brox

Naive Bayes Nearest Neighbour (NBNN) is a simple and effective framework which addresses many of the pitfalls of K-Nearest Neighbour (KNN) classification. It has yielded competitive results on several computer vision benchmarks. Its central…

Machine Learning · Computer Science 2016-07-12 Daniel Jiwoong Im , Graham W. Taylor

The identification of important nodes in complex networks is an area of exciting growth due to its applications across various disciplines like disease controlling, community finding, data mining, network system controlling, just to name a…

Social and Information Networks · Computer Science 2020-11-13 Qiuyan Shang , Yong Deng , Kang Hao Cheong

A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similarity in both the combinatorial and geometric structures of two…

Computational Geometry · Computer Science 2022-09-27 Sushovan Majhi , Carola Wenk

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios

Similarity between objects is multi-faceted and it can be easier for human annotators to measure it when the focus is on a specific aspect. We consider the problem of mapping objects into view-specific embeddings where the distance between…

Machine Learning · Statistics 2015-10-08 Liwen Zhang , Subhransu Maji , Ryota Tomioka

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Learning a distance metric from the given training samples plays a crucial role in many machine learning tasks, and various models and optimization algorithms have been proposed in the past decade. In this paper, we generalize several…

Machine Learning · Computer Science 2013-09-24 Faqiang Wang , Wangmeng Zuo , Lei Zhang , Deyu Meng , David Zhang

Measuring the distance between data points is fundamental to many statistical techniques, such as dimension reduction or clustering algorithms. However, improvements in data collection technologies has led to a growing versatility of…

Methodology · Statistics 2022-06-20 George Bolt , Simón Lunagómez , Christopher Nemeth

Comparative graph and network analysis play an important role in both systems biology and pattern recognition, but existing surveys on the topic have historically ignored or underserved one or the other of these fields. We present an…

Social and Information Networks · Computer Science 2019-05-17 Emily Evans , Marissa Graham

The study of interlayer similarity of multiplex networks helps to understand the intrinsic structure of complex systems, revealing how changes in one layer can propagate and affect others, thus enabling broad implications for…

Social and Information Networks · Computer Science 2025-05-13 Haoran Nan , Senquan Wang , Chun Ouyang , Yanchen Zhou , Weiwei Gu

Routing information through networks is a universal phenomenon in both natural and manmade complex systems. When each node has full knowledge of the global network connectivity, finding short communication paths is merely a matter of…

Physics and Society · Physics 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

Deep metric learning aims to construct an embedding space where samples of the same class are close to each other, while samples of different classes are far away from each other. Most existing deep metric learning methods attempt to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Liu Pingping , Liu Zetong , Lang Yijun , Zhou Qiuzhan , Li Qingliang

Deep metric learning employs deep neural networks to embed instances into a metric space such that distances between instances of the same class are small and distances between instances from different classes are large. In most existing…

Machine Learning · Computer Science 2019-12-05 Ahmed Abdelwahab , Niels Landwehr

Recently, deep metric learning techniques received attention, as the learned distance representations are useful to capture the similarity relationship among samples and further improve the performance of various of supervised or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Zhiyuan Li , Anca Ralescu

We propose a new embedding method for a single vector and for a pair of vectors. This embedding method enables: a) efficient classification and regression of functions of single vectors; b) efficient approximation of distance functions; and…

Machine Learning · Computer Science 2016-08-09 Ofir Pele , Yakir Ben-Aliz

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk
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