Fast Algorithms for Hypergraph PageRank with Applications to Semi-Supervised Learning

Authors: Konstantinos Ameranis, Adela Frances Depavia, Lorenzo Orecchia, Erasmo Tani

ICML 2024 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental In addition to giving strong theoretical guarantees, we empirically showcase the speed of our algorithms on benchmark instances of semi-supervised learning on categorical data.
Researcher Affiliation Academia 1Department of Computer Science, University of Chicago, Chicago, USA 2Computational and Applied Mathematics, University of Chicago, Chicago, USA. Correspondence to: Lorenzo Orecchia <orecchia@uchicago.edu>.
Pseudocode Yes Algorithm 1 with prox-generating function 1/2 2 R for min F(x) s, x in Theorem 4.1
Open Source Code Yes Code for conducting all experiments in Appendix C and Appendix D is publically available on Git Hub.3 ... 3Full link address: https://github.com/Orecchia-Research-Group/hypergraph_diffusions
Open Datasets Yes As a benchmark, we adopt the semi-supervised multi-class classification task on a small set of UCI datasets (Kelly et al.) which was considered in previous works on the topic (Zhou et al., 2003; Hein et al., 2013; Li et al., 2020).
Dataset Splits No The paper describes using a small subset of labeled points for semi-supervised learning, but it does not provide specific training, validation, or test dataset splits (e.g., percentages or counts) for reproducibility.
Hardware Specification Yes All experiments were run on a server with a 24core Intel Xeon Silver 4116 CPU @ 2.10GHz processor and 128gb RAM.
Software Dependencies No The paper mentions C++ and MATLAB implementations but does not specify version numbers for these or any other software libraries or dependencies.
Experiment Setup Yes We use teleportation constant α = 0.5. For the hypergraph, we use Algorithm 1 with 50 iterations to compute the PPR vector... We chose this single value of λ as it proved representative of the relative behavior of each method.