Graph neural networks: foundation, frontiers and applications
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 …
recent years. Graph neural networks, also known as deep learning on graphs, graph …
Regal: Representation learning-based graph alignment
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 …
particular, network alignment, or the task of identifying corresponding nodes in different …
Linking users across domains with location data: Theory and validation
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 …
information is removed or unavailable--is an important open problem studied in many …
Efficient random graph matching via degree profiles
Random graph matching refers to recovering the underlying vertex correspondence
between two random graphs with correlated edges; a prominent example is when the two …
between two random graphs with correlated edges; a prominent example is when the two …
Spectral graph matching and regularized quadratic relaxations: Algorithm and theory
Graph matching, also known as network alignment, aims at recovering the latent vertex
correspondence between two unlabeled, edge-correlated weighted graphs. To tackle this …
correspondence between two unlabeled, edge-correlated weighted graphs. To tackle this …
Improved achievability and converse bounds for erdos-rényi graph matching
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 …
correlated Erdos-Renyi (ER) graphs. For a pair of correlated graphs on the same vertex set …
Exact matching of random graphs with constant correlation
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 …
graphs, which can be viewed as a noisy average-case version of the graph isomorphism …
Matching recovery threshold for correlated random graphs
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 …
2023, Vol. 51, No. 4, 1718–1743 https://doi.org/10.1214/23-AOS2305 © Institute of …
Seeded graph matching via large neighborhood statistics
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 …
vertex correspondence between two edge‐correlated graphs, with an initial seed set of …
Exact alignment recovery for correlated Erd\H {o} sR\'enyi graphs
We consider the problem of perfectly recovering the vertex correspondence between two
correlated Erd\H {o} sR\'enyi (ER) graphs on the same vertex set. The correspondence …
correlated Erd\H {o} sR\'enyi (ER) graphs on the same vertex set. The correspondence …