More recent advances in (hyper) graph partitioning

Ü Çatalyürek, K Devine, M Faraj, L Gottesbüren… - ACM Computing …, 2023 - dl.acm.org
In recent years, significant advances have been made in the design and evaluation of
balanced (hyper) graph partitioning algorithms. We survey trends of the past decade in …

The connectome of an insect brain

M Winding, BD Pedigo, CL Barnes, HG Patsolic, Y Park… - Science, 2023 - science.org
Brains contain networks of interconnected neurons and so knowing the network architecture
is essential for understanding brain function. We therefore mapped the synaptic-resolution …

A comprehensive review of quadratic assignment problem: variants, hybrids and applications

M Abdel-Basset, G Manogaran, H Rashad… - Journal of Ambient …, 2018 - Springer
The quadratic assignment problem (QAP) has considered one of the most significant
combinatorial optimization problems due to its variant and significant applications in real life …

Graph matching: Relax at your own risk

V Lyzinski, DE Fishkind, M Fiori… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Graph matching-aligning a pair of graphs to minimize their edge disagreements-has
received wide-spread attention from both theoretical and applied communities over the past …

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 …

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 …

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 …

A general system for heuristic minimization of convex functions over non-convex sets

S Diamond, R Takapoui, S Boyd - Optimization Methods and …, 2018 - Taylor & Francis
We describe general heuristics to approximately solve a wide variety of problems with
convex objective and decision variables from a non-convex set. The heuristics, which …

A comparative study of graph matching algorithms in computer vision

S Haller, L Feineis, L Hutschenreiter, F Bernard… - … on Computer Vision, 2022 - Springer
The graph matching optimization problem is an essential component for many tasks in
computer vision, such as bringing two deformable objects in correspondence. Naturally, a …

Populations of unlabelled networks: Graph space geometry and generalized geodesic principal components

A Calissano, A Feragen, S Vantini - Biometrika, 2024 - academic.oup.com
Statistical analysis for populations of networks is widely applicable, but challenging, as
networks have strongly non-Euclidean behaviour. Graph space is an exhaustive framework …