Search Results for author: Ioana Dumitriu

Found 7 papers, 2 papers with code

Exact recovery for the non-uniform Hypergraph Stochastic Block Model

no code implementations25 Apr 2023 Ioana Dumitriu, Haixiao Wang

Consider the community detection problem in random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), where each hyperedge appears independently with some given probability depending only on the labels of its vertices.

Community Detection Stochastic Block Model

Partial recovery and weak consistency in the non-uniform hypergraph Stochastic Block Model

no code implementations22 Dec 2021 Ioana Dumitriu, Haixiao Wang, Yizhe Zhu

When the random hypergraph has bounded expected degrees, we provide a spectral algorithm that outputs a partition with at least a $\gamma$ fraction of the vertices classified correctly, where $\gamma\in (0. 5, 1)$ depends on the signal-to-noise ratio (SNR) of the model.

Community Detection Stochastic Block Model

Global eigenvalue fluctuations of random biregular bipartite graphs

no code implementations26 Aug 2020 Ioana Dumitriu, Yizhe Zhu

We compute the eigenvalue fluctuations of uniformly distributed random biregular bipartite graphs with fixed and growing degrees for a large class of analytic functions.

Probability Combinatorics

Relative Density and Exact Recovery in Heterogeneous Stochastic Block Models

no code implementations15 Dec 2015 Amin Jalali, Qiyang Han, Ioana Dumitriu, Maryam Fazel

For instance, $\log n$ is considered to be the standard lower bound on the cluster size for exact recovery via convex methods, for homogenous SBM.

Stochastic Block Model

Matrix Models for Beta Ensembles

4 code implementations25 Jun 2002 Ioana Dumitriu, Alan Edelman

This paper constructs tridiagonal random matrix models for general ($\beta>0$) $\beta$-Hermite (Gaussian) and $\beta$-Laguerre (Wishart) ensembles.

Mathematical Physics Mathematical Physics Probability Representation Theory

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