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Erdos goes neural: an unsupervised learning framework for combinatorial optimization on graphs
Combinatorial optimization (CO) problems are notoriously challenging for neural networks,
especially in the absence of labeled instances. This work proposes an unsupervised …
especially in the absence of labeled instances. This work proposes an unsupervised …
Expander decomposition and pruning: Faster, stronger, and simpler
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 …
ie disjoint subsets of vertices, such that each cluster is well connected internally while …
Minimizing localized ratio cut objectives in hypergraphs
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 clustering is the task of detecting groups of closely related nodes in such data …
Hypergraph cuts with general splitting functions
The minimum st cut problem in graphs is one of the most fundamental problems in
combinatorial optimization, and graph cuts underlie algorithms throughout discrete …
combinatorial optimization, and graph cuts underlie algorithms throughout discrete …
Parallel local graph clustering
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 …
graphs, even traditionally fast clustering methods such as spectral partitioning can be …
Strongly local hypergraph diffusions for clustering and semi-supervised learning
Hypergraph-based machine learning methods are now widely recognized as important for
modeling and using higher-order and multiway relationships between data objects. Local …
modeling and using higher-order and multiway relationships between data objects. Local …
Scalable and effective conductance-based graph clustering
Conductance-based graph clustering has been recognized as a fundamental operator in
numerous graph analysis applications. Despite the significant success of conductance …
numerous graph analysis applications. Despite the significant success of conductance …
Annealed training for combinatorial optimization on graphs
The hardness of combinatorial optimization (CO) problems hinders collecting solutions for
supervised learning. However, learning neural networks for CO problems is notoriously …
supervised learning. However, learning neural networks for CO problems is notoriously …
Breaking quadratic time for small vertex connectivity and an approximation scheme
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 …
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
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 …
identify a high-quality cluster containing s in time roughly proportional to the size of the …