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The Weisfeiler-Lehman (WL) test is a widely used algorithm in graph machine learning, including graph kernels, graph metrics, and graph neural networks. However, it focuses only on the consistency of the graph, which means that it is unable…

Machine Learning · Computer Science 2023-05-02 Zhongxi Fang , Jianming Huang , Xun Su , Hiroyuki Kasai

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

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

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Graph Edit Distance (GED) is a widely used metric for measuring similarity between two graphs. Computing the optimal GED is NP-hard, leading to the development of various neural and non-neural heuristics. While neural methods have achieved…

Machine Learning · Computer Science 2025-05-06 Samidha Verma , Arushi Goyal , Ananya Mathur , Ankit Anand , Sayan Ranu

The person re-identification task requires to robustly estimate visual similarities between person images. However, existing person re-identification models mostly estimate the similarities of different image pairs of probe and gallery…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Yantao Shen , Hongsheng Li , Shuai Yi , Dapeng Chen , Xiaogang Wang

Real-world object classes appear in imbalanced ratios. This poses a significant challenge for classifiers which get biased towards frequent classes. We hypothesize that improving the generalization capability of a classifier should improve…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Munawar Hayat , Salman Khan , Waqas Zamir , Jianbing Shen , Ling Shao

Gaussian Process (GP) models are widely utilized as surrogate models in scientific and engineering fields. However, standard GP models are limited to continuous variables due to the difficulties in establishing correlation structures for…

Machine Learning · Statistics 2025-03-05 Mingyu Pu , Songhao Wang , Haowei Wang , Szu Hui Ng

Among various distance functions for graphs, graph and subgraph edit distances (GED and SED respectively) are two of the most popular and expressive measures. Unfortunately, exact computations for both are NP-hard. To overcome this…

Machine Learning · Computer Science 2023-04-25 Rishabh Ranjan , Siddharth Grover , Sourav Medya , Venkatesan Chakaravarthy , Yogish Sabharwal , Sayan Ranu

We propose estimating Gaussian graphical models (GGMs) that are fair with respect to sensitive nodal attributes. Many real-world models exhibit unfair discriminatory behavior due to biases in data. Such discrimination is known to be…

Machine Learning · Statistics 2024-06-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

The degree distribution is one of the most fundamental properties used in the analysis of massive graphs. There is a large literature on graph sampling, where the goal is to estimate properties (especially the degree distribution) of a…

Social and Information Networks · Computer Science 2018-08-29 Talya Eden , Shweta Jain , Ali Pinar , Dana Ron , C. Seshadhri

In recent work we presented a new approach to the analysis of weighted networks, by providing a straightforward generalization of any network measure defined on unweighted networks. This approach is based on the translation of a weighted…

Data Analysis, Statistics and Probability · Physics 2008-06-05 S. E. Ahnert , D. Garlaschelli , T. M. A. Fink , G. Caldarelli

In this paper, we show two new variants of multi-view k-means (MVKM) algorithms to address multi-view data. The general idea is to outline the distance between $h$-th view data points $x_i^h$ and $h$-th view cluster centers $a_k^h$ in a…

Machine Learning · Computer Science 2024-05-17 Kristina P. Sinaga

Predicting the geographical location of users of social media like Twitter has found several applications in health surveillance, emergency monitoring, content personalization, and social studies in general. In this work we contribute to…

Social and Information Networks · Computer Science 2021-12-15 Federico M. Funes , José Ignacio Alvarez-Hamelin , Mariano G. Beiró

A new metric for quantifying pairwise vertex connectivity in graphs is defined and an implementation presented. While general in nature, it features a combination of input features well-suited for social networks, including applicability to…

Data Structures and Algorithms · Computer Science 2021-05-24 David L. Rhodes , Breanna N. Johnson

This paper proposes a new graph proximity measure. This measure is a derivative of network reliability. By analyzing its properties and comparing it against other proximity measures through graph examples, we demonstrate that it is more…

Social and Information Networks · Computer Science 2016-12-23 Haifeng Qian , Hui Wan , Mark N. Wegman , Luis A. Lastras , Ruchir Puri

We study a natural extension of the Maximum Weight Independent Set Problem (MWIS), one of the most studied optimization problems in Graph algorithms. We are given a graph $G=(V,E)$, a weight function $w: V \rightarrow \mathbb{R^+}$, a…

Data Structures and Algorithms · Computer Science 2014-09-30 Sayan Bandyapadhyay

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

Measuring similarities between different tasks is critical in a broad spectrum of machine learning problems, including transfer, multi-task, continual, and meta-learning. Most current approaches to measuring task similarities are…

Machine Learning · Computer Science 2022-08-26 Xinran Liu , Yikun Bai , Yuzhe Lu , Andrea Soltoggio , Soheil Kolouri