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Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly…

Multivariate time series forecasting poses challenges as the variables are intertwined in time and space, like in the case of traffic signals. Defining signals on graphs relaxes such complexities by representing the evolution of signals…

Machine Learning · Computer Science 2021-10-13 Semin Kwak , Nikolas Geroliminis , Pascal Frossard

Diffusion-based classifiers such as those relying on the Personalized PageRank and the Heat kernel, enjoy remarkable classification accuracy at modest computational requirements. Their performance however is affected by the extent to which…

Machine Learning · Statistics 2019-02-20 Dimitris Berberidis , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

Modern machine learning models excel at pattern recognition but remain brittle, often failing to generalize out of distribution (OOD) because they capture spurious correlations rather than the underlying causal data-generating process.…

Machine Learning · Computer Science 2026-05-26 Govind Vallabhasseri Binish , Abdhul Ahadh , Rano Roy Kavanal , Arya Ukunde

The past decade has seen tremendous growth in the field of Complex Social Networks. Several network generation models have been extensively studied to develop an understanding of how real world networks evolve over time. Two important…

Social and Information Networks · Computer Science 2017-01-23 Muhammad Qasim Pasta , Faraz Zaidi

This paper presents an efficient approach for subsequence search in data streams. The problem consists in identifying coherent repetitions of a given reference time-series, eventually multi-variate, within a longer data stream. Dynamic Time…

Machine Learning · Computer Science 2019-07-17 Antonio Candelieri , Stanislav Fedorov , Enza Messina

Classification tasks based on feature vectors can be significantly improved by including within deep learning a graph that summarises pairwise relationships between the samples. Intuitively, the graph acts as a conduit to channel and bias…

Machine Learning · Computer Science 2019-09-27 Robert L. Peach , Alexis Arnaudon , Mauricio Barahona

Graph classification is a challenging problem owing to the difficulty in quantifying the similarity between graphs or representing graphs as vectors, though there have been a few methods using graph kernels or graph neural networks (GNNs).…

Machine Learning · Computer Science 2024-08-22 Zixiao Wang , Jicong Fan

In this paper we present the application of a novel methodology to scientific citation and collaboration networks. This methodology is designed for understanding the governing dynamics of evolving networks and relies on an attachment…

Disordered Systems and Neural Networks · Physics 2009-09-29 Gabor Csardi , Katherine Strandburg , Laszlo Zalanyi , Jan Tobochnik , Peter Erdi

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

Machine Learning · Statistics 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

The simulation of discrete karst networks presents a significant challenge due to the complexity of the physicochemical processes occurring within various geological and hydrogeological contexts over extended periods. This complex interplay…

Machine Learning · Statistics 2025-06-12 Dany Lauzon , Julien Straubhaar , Philippe Renard

The modeling of diffusion processes on graphs is the basis for many network science and machine learning approaches. Entropic measures of network-based diffusion have recently been employed to investigate the reversibility of these…

Dynamical Systems · Mathematics 2025-10-23 Samuel Koovely , Alexandre Bovet

Graph neural networks (GNNs) have demonstrated success in modeling relational data, especially for data that exhibits homophily: when a connection between nodes tends to imply that they belong to the same class. However, while this…

Machine Learning · Computer Science 2023-06-23 Andreea Deac , Jian Tang

Dynamic graphs are rife with higher-order interactions, such as co-authorship relationships and protein-protein interactions in biological networks, that naturally arise between more than two nodes at once. In spite of the ubiquitous…

Machine Learning · Computer Science 2021-02-09 Manohar Kaul , Masaaki Imaizumi

Graph convolutional networks (GCNs) have been very successful in skeleton-based human action recognition where the sequence of skeletons is modeled as a graph. However, most of the GCN-based methods in this area train a deep feed-forward…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Negar Heidari , Alexandros Iosifidis

In this paper, we present a method for characterizing the evolution of time-varying complex networks by adopting a thermodynamic representation of network structure computed from a polynomial (or algebraic) characterization of graph…

A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

Populations and Evolution · Quantitative Biology 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

Topological data analysis is an emerging mathematical concept for characterizing shapes in multi-scale data. In this field, persistence diagrams are widely used as a descriptor of the input data, and can distinguish robust and noisy…

Machine Learning · Statistics 2017-06-13 Genki Kusano , Kenji Fukumizu , Yasuaki Hiraoka

Change-point detection in dynamic networks has received much attention due to its broad applications in social networks and biological systems. Kernel-based methods have shown strong potential for this problem. However, their performance…

Methodology · Statistics 2026-05-15 Mingxuan Sun , Hao Chen

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

Machine Learning · Computer Science 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao