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We perform a massive evaluation of neural networks with architectures corresponding to random graphs of various types. We investigate various structural and numerical properties of the graphs in relation to neural network test accuracy. We…

Machine Learning · Computer Science 2020-12-03 Romuald A. Janik , Aleksandra Nowak

Graphs have a superior ability to represent relational data, like chemical compounds, proteins, and social networks. Hence, graph-level learning, which takes a set of graphs as input, has been applied to many tasks including comparison,…

Machine Learning · Computer Science 2023-05-26 Zhenyu Yang , Ge Zhang , Jia Wu , Jian Yang , Quan Z. Sheng , Shan Xue , Chuan Zhou , Charu Aggarwal , Hao Peng , Wenbin Hu , Edwin Hancock , Pietro Liò

Graphical Markov models combine conditional independence constraints with graphical representations of stepwise data generating processes.The models started to be formulated about 40 years ago and vigorous development is ongoing.…

Methodology · Statistics 2015-10-12 Nanny Wermuth

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Graph classification is a problem with practical applications in many different domains. Most of the existing methods take the entire graph into account when calculating graph features. In a graphlet-based approach, for instance, the entire…

Machine Learning · Computer Science 2017-09-20 John Boaz Lee , Ryan Rossi , Xiangnan Kong

Similarity search is a fundamental task for exploiting information in various applications dealing with graph data, such as citation networks or knowledge graphs. While this task has been intensively approached from heuristics to graph…

Machine Learning · Computer Science 2026-05-12 Daniel Daza , Cuong Xuan Chu , Trung-Kien Tran , Daria Stepanova , Michael Cochez , Paul Groth

Understanding disease progression at the molecular pathway level usually requires capturing both structural dependencies between pathways and the temporal dynamics of disease evolution. In this work, we solve the former challenge by…

Machine Learning · Computer Science 2025-02-11 Dai Shi , Kuan Yan , Lequan Lin , Yue Zeng , Ting Zhang , Dmytro Matsypura , Mark C. Gillies , Ling Zhu , Junbin Gao

In an increasingly interconnected world, understanding and summarizing the structure of these networks becomes increasingly relevant. However, this task is nontrivial; proposed summary statistics are as diverse as the networks they…

Statistics Theory · Mathematics 2020-04-15 Lee M. Gunderson , Gecia Bravo-Hermsdorff

Graph neural networks (GNNs), which learn the representation of a node by aggregating its neighbors, have become an effective computational tool in downstream applications. Over-smoothing is one of the key issues which limit the performance…

Machine Learning · Computer Science 2020-06-15 Kaixiong Zhou , Xiao Huang , Yuening Li , Daochen Zha , Rui Chen , Xia Hu

In this paper, we focus on multi-task classification, where related classification tasks share the same label space and are learned simultaneously. In particular, we tackle a new setting, which is more realistic than currently addressed in…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jiayi Shen , Zehao Xiao , Xiantong Zhen , Cees G. M. Snoek , Marcel Worring

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Complex networks are relational data sets commonly represented as graphs. The analysis of their intricate structure is relevant to many areas of science and commerce, and data sets may reach sizes that require distributed storage and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-05 Jannis Koch , Christian L. Staudt , Maximilian Vogel , Henning Meyerhenke

Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

Graphs are a powerful tool for representing and analyzing unstructured, non-Euclidean data ubiquitous in the healthcare domain. Two prominent examples are molecule property prediction and brain connectome analysis. Importantly, recent works…

Machine Learning · Computer Science 2022-04-04 Kamilia Mullakaeva , Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael M. Bronstein

There has been a great deal of attention recently to graphs whose vertex set is a group, defined using the group structure. (The commuting graph, where two elements are joined if they commute, is the oldest and most famous example.) The…

Combinatorics · Mathematics 2026-02-03 Peter J. Cameron

This paper presents a deep neural-network-based hierarchical graphical model for individual and group activity recognition in surveillance scenes. Deep networks are used to recognize the actions of individual people in a scene. Next, a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Zhiwei Deng , Mengyao Zhai , Lei Chen , Yuhao Liu , Srikanth Muralidharan , Mehrsan Javan Roshtkhari , Greg Mori

We argue that when comparing two graphs, the distribution of node structural features is more informative than global graph statistics which are often used in practice, especially to evaluate graph generative models. Thus, we present…

Machine Learning · Computer Science 2022-02-10 Ciwan Ceylan , Petra Poklukar , Hanna Hultin , Alexander Kravchenko , Anastasia Varava , Danica Kragic

We introduce a new model of indeterminacy in graphs: instead of specifying all the edges of the graph, the input contains all triples of vertices that form a connected subgraph. In general, different (labelled) graphs may have the same set…

Discrete Mathematics · Computer Science 2023-03-14 Paul Bastide , Linda Cook , Jeff Erickson , Carla Groenland , Marc van Kreveld , Isja Mannens , Jordi L. Vermeulen

Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions…

Machine Learning · Computer Science 2024-10-31 Giangiacomo Mercatali , Andre Freitas , Jie Chen
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