Random graph matching in geometric models: the case of complete graphs

H Wang, Y Wu, J Xu, I Yolou - Conference on Learning …, 2022 - proceedings.mlr.press
This paper studies the problem of matching two complete graphs with edge weights
correlated through latent geometries, extending a recent line of research on random graph …

One-way matching of datasets with low rank signals

S Chen, S Jiang, Z Ma, GP Nolan, B Zhu - arxiv preprint arxiv:2204.13858, 2022 - arxiv.org
We study one-way matching of a pair of datasets with low rank signals. Under a stylized
model, we first derive information-theoretic limits of matching under a mismatch proportion …

Asymptotic mutual information in quadratic estimation problems over compact groups

KY Yang, TLH Wee, Z Fan - arxiv preprint arxiv:2404.10169, 2024 - arxiv.org
Motivated by applications to group synchronization and quadratic assignment on random
data, we study a general problem of Bayesian inference of an unknown``signal''belonging to …

Random Geometric Graph Alignment with Graph Neural Networks

S Liu, M Austern - arxiv preprint arxiv:2402.07340, 2024 - arxiv.org
We characterize the performance of graph neural networks for graph alignment problems in
the presence of vertex feature information. More specifically, given two graphs that are …

The Umeyama algorithm for matching correlated Gaussian geometric models in the low-dimensional regime

S Gong, Z Li - arxiv preprint arxiv:2402.15095, 2024 - arxiv.org
Motivated by the problem of matching two correlated random geometric graphs, we study the
problem of matching two Gaussian geometric models correlated through a latent node …

The planted matching problem: Sharp threshold and infinite-order phase transition

J Ding, Y Wu, J Xu, D Yang - Probability Theory and Related Fields, 2023 - Springer
We study the problem of reconstructing a perfect matching M∗ hidden in a randomly
weighted n× n bipartite graph. The edge set includes every node pair in M∗ and each of the …

Detecting correlated Gaussian databases

K Zeynep, B Nazer - 2022 IEEE International Symposium on …, 2022 - ieeexplore.ieee.org
This paper considers the problem of detecting whether two databases, each consisting of n
users with d Gaussian features, are correlated. Under the null hypothesis, the databases are …

Seeded database matching under noisy column repetitions

S Bakirtas, E Erkip - 2022 IEEE Information Theory Workshop …, 2022 - ieeexplore.ieee.org
The re-identification or de-anonymization of users from anonymized data through matching
with publicly-available correlated user data has raised privacy concerns, leading to the …

On correlation detection of Gaussian databases via local decision making

R Tamir - 2023 IEEE International Symposium on Information …, 2023 - ieeexplore.ieee.org
In this work, we propose an efficient statistical test solving a problem of correlation detection
between two Gaussian databases. Correlation detection is a hypothesis testing problem; …

Matching of markov databases under random column repetitions

S Bakirtas, E Erkip - 2022 56th Asilomar Conference on Signals …, 2022 - ieeexplore.ieee.org
Matching entries of correlated shuffled databases have practical applications ranging from
privacy to biology. In this paper, motivated by synchronization errors in the sampling of time …