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20072025
most citedStatistical inference on random dot product graphs: a survey

118 citations · 1.3k across the 129 of their papers we have counts for

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13 papers · 1 filter

math.ST2021★ 21 cited

Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence

Joshua Agterberg, Zachary Lubberts, Carey Priebe

We propose an estimator for the singular vectors of high-dimensional low-rank matrices corrupted by additive subgaussian noise, where the noise matrix is allowed to have dependence…

math.ST2020★ 5 cited

On Two Distinct Sources of Nonidentifiability in Latent Position Random Graph Models

Joshua Agterberg, Minh Tang, Carey E. Priebe

Two separate and distinct sources of nonidentifiability arise naturally in the context of latent position random graph models, though neither are unique to this setting. In this pa…

math.ST2020

On a complete and sufficient statistic for the correlated Bernoulli random graph model

Donniell E. Fishkind, Avanti Athreya, Lingyao Meng +2

Inference on vertex-aligned graphs is of wide theoretical and practical importance.There are, however, few flexible and tractable statistical models for correlated graphs, and even…

math.ST2019

The exact form of the 'Ockham factor' in model selection

Jonathan Rougier, Carey Priebe

We explore the arguments for maximizing the `evidence' as an algorithm for model selection. We show, using a new definition of model complexity which we term `flexibility', that ma…

math.ST2019★ 2 cited

Approximate Information Tests on Statistical Submanifolds

Michael W. Trosset, Carey E. Priebe

Parametric inference posits a statistical model that is a specified family of probability distributions. Restricted inference, e.g., restricted likelihood ratio testing, attempts t…

math.ST2018

On spectral embedding performance and elucidating network structure in stochastic block model graphs

Joshua Cape, Minh Tang, Carey E. Priebe

Statistical inference on graphs often proceeds via spectral methods involving low-dimensional embeddings of matrix-valued graph representations, such as the graph Laplacian or adja…