Erdos goes neural: an unsupervised learning framework for combinatorial optimization on graphs

N Karalias, A Loukas - Advances in Neural Information …, 2020 - proceedings.neurips.cc
Combinatorial optimization (CO) problems are notoriously challenging for neural networks,
especially in the absence of labeled instances. This work proposes an unsupervised …

Expander decomposition and pruning: Faster, stronger, and simpler

T Saranurak, D Wang - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
We study the problem of graph clustering where the goal is to partition a graph into clusters,
ie disjoint subsets of vertices, such that each cluster is well connected internally while …

Minimizing localized ratio cut objectives in hypergraphs

N Veldt, AR Benson, J Kleinberg - Proceedings of the 26th ACM SIGKDD …, 2020 - dl.acm.org
Hypergraphs are a useful abstraction for modeling multiway relationships in data, and
hypergraph clustering is the task of detecting groups of closely related nodes in such data …

Hypergraph cuts with general splitting functions

N Veldt, AR Benson, J Kleinberg - SIAM Review, 2022 - SIAM
The minimum st cut problem in graphs is one of the most fundamental problems in
combinatorial optimization, and graph cuts underlie algorithms throughout discrete …

Parallel local graph clustering

J Shun, F Roosta-Khorasani, K Fountoulakis… - arxiv preprint arxiv …, 2016 - arxiv.org
Graph clustering has many important applications in computing, but due to growing sizes of
graphs, even traditionally fast clustering methods such as spectral partitioning can be …

Strongly local hypergraph diffusions for clustering and semi-supervised learning

M Liu, N Veldt, H Song, P Li, DF Gleich - Proceedings of the Web …, 2021 - dl.acm.org
Hypergraph-based machine learning methods are now widely recognized as important for
modeling and using higher-order and multiway relationships between data objects. Local …

Scalable and effective conductance-based graph clustering

L Lin, R Li, T Jia - Proceedings of the AAAI Conference on Artificial …, 2023 - ojs.aaai.org
Conductance-based graph clustering has been recognized as a fundamental operator in
numerous graph analysis applications. Despite the significant success of conductance …

Annealed training for combinatorial optimization on graphs

H Sun, EK Guha, H Dai - arxiv preprint arxiv:2207.11542, 2022 - arxiv.org
The hardness of combinatorial optimization (CO) problems hinders collecting solutions for
supervised learning. However, learning neural networks for CO problems is notoriously …

Breaking quadratic time for small vertex connectivity and an approximation scheme

D Nanongkai, T Saranurak… - Proceedings of the 51st …, 2019 - dl.acm.org
Vertex connectivity a classic extensively-studied problem. Given an integer k, its goal is to
decide if an n-node m-edge graph can be disconnected by removing k vertices. Although a …

Efficient estimation of heat kernel pagerank for local clustering

R Yang, X **ao, Z Wei, SS Bhowmick, J Zhao… - Proceedings of the 2019 …, 2019 - dl.acm.org
Given an undirected graph G and a seed node s, the local clustering problem aims to
identify a high-quality cluster containing s in time roughly proportional to the size of the …