Graph neural networks: foundation, frontiers and applications

L Wu, P Cui, J Pei, L Zhao, X Guo - … of the 28th ACM SIGKDD Conference …, 2022 - dl.acm.org
The field of graph neural networks (GNNs) has seen rapid and incredible strides over the
recent years. Graph neural networks, also known as deep learning on graphs, graph …

Regal: Representation learning-based graph alignment

M Heimann, H Shen, T Safavi, D Koutra - Proceedings of the 27th ACM …, 2018 - dl.acm.org
Problems involving multiple networks are prevalent in many scientific and other domains. In
particular, network alignment, or the task of identifying corresponding nodes in different …

Linking users across domains with location data: Theory and validation

C Riederer, Y Kim, A Chaintreau, N Korula… - Proceedings of the 25th …, 2016 - dl.acm.org
Linking accounts of the same user across datasets--even when personally identifying
information is removed or unavailable--is an important open problem studied in many …

Efficient random graph matching via degree profiles

J Ding, Z Ma, Y Wu, J Xu - Probability Theory and Related Fields, 2021 - Springer
Random graph matching refers to recovering the underlying vertex correspondence
between two random graphs with correlated edges; a prominent example is when the two …

Spectral graph matching and regularized quadratic relaxations: Algorithm and theory

Z Fan, C Mao, Y Wu, J Xu - International conference on …, 2020 - proceedings.mlr.press
Graph matching, also known as network alignment, aims at recovering the latent vertex
correspondence between two unlabeled, edge-correlated weighted graphs. To tackle this …

Exact matching of random graphs with constant correlation

C Mao, M Rudelson, K Tikhomirov - Probability Theory and Related Fields, 2023 - Springer
This paper deals with the problem of graph matching or network alignment for Erdős–Rényi
graphs, which can be viewed as a noisy average-case version of the graph isomorphism …

Improved achievability and converse bounds for erdos-rényi graph matching

D Cullina, N Kiyavash - ACM SIGMETRICS performance evaluation …, 2016 - dl.acm.org
We consider the problem of perfectly recovering the vertex correspondence between two
correlated Erdos-Renyi (ER) graphs. For a pair of correlated graphs on the same vertex set …

Matching recovery threshold for correlated random graphs

J Ding, H Du - The Annals of Statistics, 2023 - projecteuclid.org
Matching recovery threshold for correlated random graphs Page 1 The Annals of Statistics
2023, Vol. 51, No. 4, 1718–1743 https://doi.org/10.1214/23-AOS2305 © Institute of …

Seeded graph matching via large neighborhood statistics

E Mossel, J Xu - Random Structures & Algorithms, 2020 - Wiley Online Library
We study a noisy graph isomorphism problem, where the goal is to perfectly recover the
vertex correspondence between two edge‐correlated graphs, with an initial seed set of …

Partial recovery in the graph alignment problem

G Hall, L Massoulié - Operations Research, 2023 - pubsonline.informs.org
In this paper, we consider the graph alignment problem, which is the problem of recovering,
given two graphs, a one-to-one mapping between nodes that maximizes edge overlap. This …