Random Walks on Hypergraphs with Edge-Dependent Vertex Weights

Authors: Uthsav Chitra, Benjamin Raphael

ICML 2019 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Finally, we demonstrate the advantages of hypergraphs with edge-dependent vertex weights on ranking applications using realworld datasets.
Researcher Affiliation Academia 1Department of Computer Science, Princeton University, Princeton, NJ, USA.
Pseudocode No The paper does not contain any structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets Yes We construct a citation network of all machine learning papers from NIPS, ICML, KDD, IJCAI, UAI, ICLR, and COLT published on or before 10/27/2017, and extracted from the Arnet Miner database (Tang et al., 2008).
Dataset Splits Yes This dataset contains two kinds of matches: free-for-all matches with up to 8 players, and 1-v-1 matches. There are 31028 free-for-all matches and 5093 1-v-1 matches among 5507 players. Using the free-for-all matches as partial rankings, we construct rankings of all players in the dataset, and evaluate those rankings on the 1-v-1 matches.
Hardware Specification No The paper does not provide specific hardware details (e.g., exact GPU/CPU models, memory amounts) used for running its experiments.
Software Dependencies No The paper does not provide specific ancillary software details with version numbers (e.g., library or solver names with version numbers like Python 3.8, CPLEX 12.4).
Experiment Setup Yes In our experiments, we use a random walk with restart (β = 0.4) instead of just a random walk, so that the stationary distribution always exists (Tong et al., 2006). ... We set the hyperedge and vertex weights to be ω(e) = (standard deviation of scores in match e) + 1, γe(v) = exp[(score of player v in match e)]. ... Instead, we normalize vertex weights so that δ(e) = 1 for all hyperedges e.