| Title: | On Inference for Modularity Statistics in Structured Networks |
| Journal: | Journal of Computational and Graphical Statistics |
| Published: | 13 May 2024 |
| DOI: | https://doi.org/10.1080/10618600.2024.2336147 |
| URL: | https://arxiv.org/pdf/2402.15489 |
Publication 12097
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Abstract
This article revisits the classical concept of network modularity and its spectral relaxations used throughout graph data analysis. We formulate and study several modularity statistic variants for which we establish asymptotic distributional results in the large-network limit for networks exhibiting nodal community structure. Our work facilitates testing for network differences and can be used in conjunction with existing theoretical guarantees for stochastic blockmodel random graphs. Our results are enabled by recent advances in the study of low-rank truncations of large network adjacency matrices. We provide confirmatory simulation studies and real data analysis pertaining to the network neuroscience study of psychosis, specifically schizophrenia. Collectively, this article contributes to the limited existing literature to date on statistical inference for modularity-based network analysis. Supplemental materials for this article are available online.</p>
3 Authors
- Anirban Mitra
- Konasale Prasad
- Joshua Cape
1 Application
| Application ID | Title |
|---|---|
| 68923 | Multiplex brain network architecture in psychoses |
Enabling scientific discoveries that improve human health