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Community Recovery on Noisy Stochastic Block Models

Published: May 13, 2025 | arXiv ID: 2505.08251v4

By: Washieu Anan, Gwyneth Liu

BigTech Affiliations: Massachusetts Institute of Technology

Potential Business Impact:

Finds hidden groups in messy data.

Business Areas:
Social Community and Lifestyle

We study the problem of community recovery in geometrically-noised stochastic block models (SBM). This work presents two primary contributions: (1) Motif--Attention Spectral Operator (MASO), an attention-based spectral operator that improves upon traditional spectral methods; and (2) Iterative Geometric Denoising (GeoDe), a configurable denoising algorithm that boosts spectral clustering performance. We demonstrate that the fusion of GeoDe+MASO significantly outperforms existing community detection methods on noisy SBMs. Furthermore, we show that using GeoDe+MASO as a denoising step improves belief propagation's community recovery by 79.7% on the Amazon Metadata dataset.

Country of Origin
🇺🇸 United States

Page Count
22 pages

Category
Computer Science:
Social and Information Networks