%0 Journal Article %1 asta_geometric_2014 %A Asta, Dena %A Shalizi, Cosma Rohilla %D 2014 %J arXiv:1411.1350 math, stat %K Geometry_Study Hyperbolic_Geometry Node_Embeddings %T Geometric Network Comparison %U http://arxiv.org/abs/1411.1350 %X Network analysis has a crucial need for tools to compare networks and assess the significance of differences between networks. We propose a principled statistical approach to network comparison that approximates networks as probability distributions on negatively curved manifolds. We outline the theory, as well as implement the approach on simulated networks.

@article{asta_geometric_2014, abstract = {Network analysis has a crucial need for tools to compare networks and assess the significance of differences between networks. We propose a principled statistical approach to network comparison that approximates networks as probability distributions on negatively curved manifolds. We outline the theory, as well as implement the approach on simulated networks.}, added-at = {2020-02-21T16:09:44.000+0100}, author = {Asta, Dena and Shalizi, Cosma Rohilla}, biburl = {https://www.bibsonomy.org/bibtex/21297569951745986f862f9103ad04809/tschumacher}, file = {Asta, Shalizi - Geometric Network Comparisons.pdf:C\:\\Users\\Admin\\Documents\\Research\\_Paperbase\\Graph Embeddings\\Asta, Shalizi - Geometric Network Comparisons.pdf:application/pdf}, interhash = {9eceafe3f912de1f8c15228e9a8c4887}, intrahash = {1297569951745986f862f9103ad04809}, journal = {arXiv:1411.1350 [math, stat]}, keywords = {Geometry_Study Hyperbolic_Geometry Node_Embeddings}, language = {en}, month = nov, note = {arXiv: 1411.1350}, timestamp = {2020-02-21T16:09:44.000+0100}, title = {Geometric {Network} {Comparison}}, url = {http://arxiv.org/abs/1411.1350}, urldate = {2019-12-10}, year = 2014 }