Abstract
We analyse a mean-field model of Personalized PageRank (PPR) on the Erdős–Rényi (ER) random graph containing a denser planted ER subgraph. We investigate the regimes where the values of PPR concentrate around the mean-field value. We also study the optimization of the damping factor, the only parameter in PPR. Our theoretical results help to understand the applicability of PPR and its limitations for local graph clustering.
| Original language | English |
|---|---|
| Pages (from-to) | 895-916 |
| Number of pages | 20 |
| Journal | Journal of statistical physics |
| Volume | 173 |
| Issue number | 3-4 |
| Early online date | 5 Jul 2018 |
| DOIs | |
| Publication status | Published - 1 Nov 2018 |
Keywords
- UT-Hybrid-D
- Mean field
- Concentration
- Local graph clustering
- Personalized PageRank
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Avrachenkov, K., Kadavankandy, A., & Litvak, N. V. (2018). Mean Field Analysis of Personalized PageRank with Implications for Local Graph Clustering. Journal of statistical physics, 173(3-4), 895-916. https://doi.org/10.1007/s10955-018-2099-5