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Paper · 2106.05245 · ICML · 2021

Local Algorithms for Finding Densely Connected Clusters

He Sun, Peter Macgregor

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 15 functions out of this paper's own repositories and ran 0 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
pmacg/local-densely-connected-clusters canonical 0 of 15
FunctionStatusWhere it lives
MQI Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/MQI.py
code served (permissive licence) · get_code("e1737d8b1e0223d9")
MQI_weighted Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/MQI_weighted.py
code served (permissive licence) · get_code("a3be98a2ac73b7e5")
SimpleLocal Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/SimpleLocal.py
code served (permissive licence) · get_code("f3ee78284e072922")
SimpleLocal_weighted Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/SimpleLocal_weighted.py
code served (permissive licence) · get_code("5b7985e7d25d8368")
acl_list Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/algorithms/acl_list.py
code served (permissive licence) · get_code("25afa867451dfa44")
compute_embedding Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_clusters.py
code served (permissive licence) · get_code("8bebfc6664287a78")
compute_embedding_and_improve Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_clusters.py
code served (permissive licence) · get_code("2f40ada12f80b4c5")
eig2nL_subgraph Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/algorithms/eig_nL.py
code served (permissive licence) · get_code("3bc99562f219b3ab")
eig_nL Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/algorithms/eig_nL.py
code served (permissive licence) · get_code("0bd42037d5751844")
evo_cut_directed Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_bipartite_clusters.py
code served (permissive licence) · get_code("240e3c7e162a8bd2")
find_clusters Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_clusters.py
code served (permissive licence) · get_code("56e5317203aecca6")
idx_from_cluster_idx Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/stochastic_block_model.py
code served (permissive licence) · get_code("2a003b58e847d218")
local_bipartite_dc Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_bipartite_clusters.py
code served (permissive licence) · get_code("921c9fe10dabbcfd")
lp_almost_bipartite Not yet run pmacg/local-densely-connected-clusters/localgraphclustering/find_bipartite_clusters.py
code served (permissive licence) · get_code("4c8c39f3a5fdcba7")
simplify Not yet run pmacg/local-densely-connected-clusters/example.py
code served (permissive licence) · get_code("e6d355edc09c35ec")

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Abstract

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a vertex set of low conductance, there has been a sequence of recent studies that highlight the importance of the inter-connection between clusters when analysing real-world datasets. Following this line of research, in this work we study local algorithms for finding a pair of vertex sets defined with respect to their inter-connection and their relationship with the rest of the graph. The key to our analysis is a new reduction technique that relates the structure of multiple sets to a single vertex set in the reduced graph. Among many potential applications, we show that our algorithms successfully recover densely connected clusters in the Interstate Disputes Dataset and the US Migration Dataset.

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