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In this paper, we focus on graph learning from multi-view data of shared entities for spectral clustering. We can explain interactions between the entities in multi-view data using a multi-layer graph with a common vertex set, which…

Machine Learning · Computer Science 2021-03-04 Sravanthi Gurugubelli , Sundeep Prabhakar Chepuri

With the explosive growth of multi-source data, multi-view clustering has attracted great attention in recent years. Most existing multi-view methods operate in raw feature space and heavily depend on the quality of original feature…

Machine Learning · Computer Science 2022-05-20 Liang Liu , Peng Chen , Guangchun Luo , Zhao Kang , Yonggang Luo , Sanchu Han

In this work, we present an end-to-end framework to settle data association in online Multiple-Object Tracking (MOT). Given detection responses, we formulate the frame-by-frame data association as Maximum Weighted Bipartite Matching…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Xiaolong Jiang , Peizhao Li , Yanjing Li , Xiantong Zhen

Statistical analysis and node clustering in hypergraphs constitute an emerging topic suffering from a lack of standardization. In contrast to the case of graphs, the concept of nodes' community in hypergraphs is not unique and encompasses…

Social and Information Networks · Computer Science 2024-03-05 Veronica Poda , Catherine Matias

Aggregating signals from a collection of noisy sources is a fundamental problem in many domains including crowd-sourcing, multi-agent planning, sensor networks, signal processing, voting, ensemble learning, and federated learning. The core…

Machine Learning · Computer Science 2022-06-07 Ben Abramowitz , Nicholas Mattei

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

Machine Learning · Statistics 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

The problem of measuring similarity of graphs and their nodes is important in a range of practical problems. There is a number of proposed measures, some of them being based on iterative calculation of similarity between two graphs and the…

Artificial Intelligence · Computer Science 2010-09-28 Mladen Nikolic

Graph generation is integral to various engineering and scientific disciplines. Nevertheless, existing methodologies tend to overlook the generation of edge attributes. However, we identify critical applications where edge attributes are…

Social and Information Networks · Computer Science 2024-12-30 Nimrod Berman , Eitan Kosman , Dotan Di Castro , Omri Azencot

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Graph clustering, an important unsupervised problem, has been shown to be more resistant to advances in Graph Neural Networks (GNNs). In addition, almost all clustering methods focus on homophilic graphs and ignore heterophily. This…

Machine Learning · Computer Science 2026-03-11 Xuanting Xie , Erlin Pan , Zhao Kang , Wenyu Chen , Bingheng Li

Two problems in the search of metric characteristics on weighted undirected graphs with non-negative edge weights are being considered. The first problem: a weighted undirected graph with non-negative edge weight is given. The radius,…

Data Structures and Algorithms · Computer Science 2012-09-24 Airat Urakov , Timofey Timeryaev

HyperAggregation is a hypernetwork-based aggregation function for Graph Neural Networks. It uses a hypernetwork to dynamically generate weights in the size of the current neighborhood, which are then used to aggregate this neighborhood.…

Machine Learning · Computer Science 2024-07-17 Nicolas Lell , Ansgar Scherp

Graph coloring involves assigning colors to the vertices of a graph such that two vertices linked by an edge receive different colors. Graph coloring problems are general models that are very useful to formulate many relevant applications…

Machine Learning · Computer Science 2020-10-27 Olivier Goudet , Béatrice Duval , Jin-Kao Hao

Based on an expert systems approach, the issue of community detection can be conceptualized as a clustering model for networks. Building upon this further, community structure can be measured through a clustering coefficient, which is…

Social and Information Networks · Computer Science 2019-04-12 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella

An effective way to reduce clutter in a graph drawing that has (many) crossings is to group edges that travel in parallel into \emph{bundles}. Each edge can participate in many such bundles. Any crossing in this bundled graph occurs between…

Computational Geometry · Computer Science 2022-09-23 Steven Chaplick , Thomas C. van Dijk , Myroslav Kryven , Ji-won Park , Alexander Ravsky , Alexander Wolff

We study the problem of community recovery from coarse measurements of a graph. In contrast to the problem of community recovery of a fully observed graph, one often encounters situations when measurements of a graph are made at…

Statistics Theory · Mathematics 2021-03-02 Nafiseh Ghoroghchian , Gautam Dasarathy , Stark C. Draper

The maximum edge-weight clique problem is to find a clique whose sum of edge-weight is the maximum for a given edge-weighted undirected graph. The problem is NP-hard and some branch-and-bound algorithms have been proposed. In this paper, we…

Data Structures and Algorithms · Computer Science 2018-10-25 Satoshi Shimizu , Kazuaki Yamaguchi , Sumio Masuda

With the explosive growth of information technology, multi-view graph data have become increasingly prevalent and valuable. Most existing multi-view clustering techniques either focus on the scenario of multiple graphs or multi-view…

Machine Learning · Computer Science 2021-10-25 Erlin Pan , Zhao Kang

In the analysis of large/big data sets, aggregation (replacing values of a variable over a group by a single value) is a standard way of reducing the size (complexity) of the data. Data analysis programs provide different aggregation…

Machine Learning · Computer Science 2023-03-29 Vladimir Batagelj