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20222026
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6 papers · 1 filter

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

Evidence thresholds of collapsed structured block models

Marios Papamichalis, Regina Ruane

A stochastic block model explains a network by splitting its nodes into communities and a matrix of tie probabilities between them. Collapsing those probabilities out scores each s…

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

Multiscale Localized Inference for Networks with a Measured Vertex Coordinate

Marios Papamichalis, Regina Ruane

In many networks each vertex has a position measured from outside the network: a neuron's location along the body axis, a residue's index along a protein sequence, a genomic bin's…

math.ST2025

Graphon-Level Bayesian Predictive Synthesis for Random Network

Marios Papamichalis, Regina Ruane

Analysts often fit several models to the same network. Each estimates a graphon, the function giving the probability of a link between two nodes. Reporting one predictive graphon m…

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…