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math.ST2026

Minimax Synthesis of Network Mechanisms

Marios Papamichalis, Regina Ruane

A single observed network reflects several mechanisms at once: communities, hubs, and clustering coexist in one graph, each a different model. We treat the network as a combination…

math.ST2026

Collapsed Structured Block Models for Community Detection in Complex Networks

Marios Papamichalis, Regina Ruane

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model…

math.ST2026

Decision-Theoretic Robustness for Network Models

Marios Papamichalis, Regina Ruane, Simon Lunagomez +1

Bayesian network models (Erdos Renyi, stochastic block models, random dot product graphs, graphons) are widely used in neuroscience, epidemiology, and the social sciences, yet real…

math.ST2025

Decomposing Degree Assortativity in Sparse Spatial Networks

Marios Papamichalis, Regina Ruane

Spatial networks are typically assortative: well-connected nodes link to other well-connected nodes, and the usual reading is sorting, popular nodes seeking each other out. In spac…

math.ST2025

Wavelet Latent Position Exponential Random Graphs

Marios Papamichalis, Regina Ruane

Many network datasets exhibit connectivity with variance by resolution and large-scale organization that coexists with localized departures. When vertices have observed ordering or…

math.ST2025

Graphon-Level Bayesian Predictive Synthesis for Random Network

Marios Papamichalis, Regina Ruane

Bayesian predictive synthesis provides a coherent Bayesian framework for combining multiple predictive distributions, or agents, into a single updated prediction, extending Bayesia…