From which world is your graph?

Conference item

Discovering statistical structure from links is a fundamental problem in the analysis of social networks. Choosing a misspecified model, or equivalently, an incorrect inference algorithm will result in an invalid analysis or even falsely uncover patterns that are in fact artifacts of the model. This work focuses on unifying two of the most widely used link-formation models: the stochastic blockmodel (SBM) and the small world (or latent space) model (SWM). Integrating techniques from kernel learning, spectral graph theory, and nonlinear dimensionality reduction, we develop the first statistically sound polynomial-time algorithm to discover latent patterns in sparse graphs for both models. When the network comes from an SBM, the algorithm outputs a block structure. When it is from an SWM, the algorithm outputs estimates of each node’s latent position.

Authors: Li, C; Wong, F; Liu, Z; Kanade, V

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Neural Information Processing Systems Foundation
• Host title: 31st Conference on Neural Information Processing Systems (NIPS 2017)
• Journal: 31st Conference on Neural Information Processing Systems (NIPS 2017)
• Publication date: 2018-07-01
• Acceptance date: 2017-09-04