This repository offers the codes for the following paper,

A flexible PageRank-based graph embedding framework closely related to spectral eigenvector embeddings

The graph embeddings folder hosts the codes for all the experiments on graphs.

• The various graphs used in the paper can be generated by running diff_graphs.jl and the "log PR" graph in the introduction can be obtained by running introduction.jl
• The distance effect showed in figure 2 in the paper can be generated using distance_effect.jl
• Figures 4-7 can be generated using graph_embeddings.jl
• The error variance table in figure 8 can be generated using error_variance.jl

• Primary-school-contact: Raw data was obtained from nveldt/HyperModularity.jl; read_data.jl was used to generate the primary_school.mat file which was used in smalltest.jl to generate figure9a
• Yelp: Instructions in LHQD/yelp were followed to download the data; read_data.jl and yelp_restaurant_hypergraph.jl was used to generate the hypergraph and store it at yelp_restaurant_hypergraph.mat which was used in yelp_experiment.jl to generate figure 9b
• Drug Abuse Network (DAWN): Raw data was obtained from DAWN dataset; read_data.jl was used to generate the dawn.mat file which was used in smalltest.jl to generate figure 10a
• Walmart: Raw data was obtained from Walmart-Trips; read_data.jl was used to generate the walmart.mat file which was used in walmart_experiment.jl to generate figure 10b
• Math Overflow: Raw data was obtained from mathoverflow-answers; read-data.jl was used to generate the mathoverflow.mat file which was used in smalltest.jl to generate figure 10c