Report
Robust Hypergraph Clustering via Convex Relaxation of Truncated MLE
| العنوان: | Robust Hypergraph Clustering via Convex Relaxation of Truncated MLE |
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| المؤلفون: | Lee, Jeonghwan, Kim, Daesung, Chung, Hye Won |
| المصدر: | Published at IEEE Journal on Selected Areas in Information Theory (JSAIT), Issue 3, 2020 |
| سنة النشر: | 2020 |
| المجموعة: | Computer Science Mathematics Statistics |
| مصطلحات موضوعية: | Statistics - Machine Learning, Computer Science - Information Theory, Computer Science - Machine Learning |
| الوصف: | We study hypergraph clustering in the weighted $d$-uniform hypergraph stochastic block model ($d$\textsf{-WHSBM}), where each edge consisting of $d$ nodes from the same community has higher expected weight than the edges consisting of nodes from different communities. We propose a new hypergraph clustering algorithm, called \textsf{CRTMLE}, and provide its performance guarantee under the $d$\textsf{-WHSBM} for general parameter regimes. We show that the proposed method achieves the order-wise optimal or the best existing results for approximately balanced community sizes. Moreover, our results settle the first recovery guarantees for growing number of clusters of unbalanced sizes. Involving theoretical analysis and empirical results, we demonstrate the robustness of our algorithm against the unbalancedness of community sizes or the presence of outlier nodes. Comment: 20 pages, 4 figure |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1109/JSAIT.2020.3037170 |
| URL الوصول: | http://arxiv.org/abs/2003.10038 |
| رقم الانضمام: | edsarx.2003.10038 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1109/JSAIT.2020.3037170 |
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