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A Statistical Interpretation of Spectral Embedding: The Generalised Random Dot Product Graph

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-0653-8openalex-snapshot
Matrix Analysis
inferredcites →https://doi.org/10.1007/978-3-540-77004-6_11openalex-snapshot
Random Dot Product Graph Models for Social Networks
inferredcites →https://doi.org/10.1007/s003579900058openalex-snapshot
MCLUST: Software for Model-Based Cluster Analysis
inferredcites →https://doi.org/10.1007/s11222-007-9033-zopenalex-snapshot
A tutorial on spectral clustering
inferredcites →https://doi.org/10.1007/s13171-015-0071-xopenalex-snapshot
A Limit Theorem for Scaled Eigenvectors of Random Dot Product Graphs
inferredcites →https://doi.org/10.1016/0047-259x(81)90099-3openalex-snapshot
Representations for partially exchangeable arrays of random variables
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Stochastic blockmodels: First steps
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Automatic dimensionality selection from the scree plot via the use of profile likelihood
inferredcites →https://doi.org/10.1016/s0378-8733(99)00019-2openalex-snapshot
Models of core/periphery structures
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Modularity and community structure in networks
inferredcites →https://doi.org/10.1073/pnas.1400374111openalex-snapshot
Network histograms and universality of blockmodel approximation
inferredcites →https://doi.org/10.1073/pnas.1814462116openalex-snapshot
On a two-truths phenomenon in spectral graph clustering
inferredcites →https://doi.org/10.1080/00401706.2013.822830openalex-snapshot
Scan Statistics for the Online Detection of Locally Anomalous Subgraphs
inferredcites →https://doi.org/10.1080/00401706.2021.2008503openalex-snapshot
Spectral Clustering on Spherical Coordinates Under the Degree-Corrected Stochastic Blockmodel
inferredcites →https://doi.org/10.1080/01621459.2012.699795openalex-snapshot
A Consistent Adjacency Spectral Embedding for Stochastic Blockmodel Graphs
inferredcites →https://doi.org/10.1080/01621459.2020.1751645openalex-snapshot
Estimating Mixed Memberships With Sharp Eigenvector Deviations
inferredcites →https://doi.org/10.1090/coll/060openalex-snapshot
Large Networks and Graph Limits
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Networks: An Introduction
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A useful variant of the Davis–Kahan theorem for statisticians
inferredcites →https://doi.org/10.1093/biomet/asy070openalex-snapshot
Signal-plus-noise matrix models: eigenvector deviations and fluctuations
inferredcites →https://doi.org/10.1093/oso/9780198805090.001.0001openalex-snapshot
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inferredcites →https://doi.org/10.1103/physreve.83.016107openalex-snapshot
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Normalized cuts and image segmentation
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inferredcites →https://doi.org/10.1109/tit.1982.1056489openalex-snapshot
Least squares quantization in PCM
inferredcites →https://doi.org/10.1109/tnse.2016.2634322openalex-snapshot
Community Detection and Classification in Hierarchical Stochastic Blockmodels
inferredcites →https://doi.org/10.1109/tsp.2015.2508778openalex-snapshot
A Fast Hyperplane-Based Minimum-Volume Enclosing Simplex Algorithm for Blind Hyperspectral Unmixing
inferredcites →https://doi.org/10.1142/9781786340757_0002openalex-snapshot
Cyber security data sources for dynamic network research
inferredcites →https://doi.org/10.1145/3340531.3411959openalex-snapshot
CSNE: Conditional Signed Network Embedding
inferredcites →https://doi.org/10.1145/3344548openalex-snapshot
Extraction and Analysis of Fictional Character Networks
inferredcites →https://doi.org/10.1147/rd.175.0420openalex-snapshot
Lower Bounds for the Partitioning of Graphs
inferredcites →https://doi.org/10.1162/artl_a_00001openalex-snapshot
Concurrency and Network Disassortativity
inferredcites →https://doi.org/10.1198/016214502388618906openalex-snapshot
Latent Space Approaches to Social Network Analysis
inferredcites →https://doi.org/10.1198/016214502760047131openalex-snapshot
Model-Based Clustering, Discriminant Analysis, and Density Estimation
inferredcites →https://doi.org/10.1198/jcgs.2009.07177openalex-snapshot
Simulation of the Matrix Bingham–von Mises–Fisher Distribution, With Applications to Multivariate and Relational Data
inferredcites →https://doi.org/10.1214/11-aos887openalex-snapshot
Spectral clustering and the high-dimensional stochastic blockmodel
inferredcites →https://doi.org/10.1214/14-aos1274openalex-snapshot
Consistency of spectral clustering in stochastic block models
inferredcites →https://doi.org/10.1214/14-aos1285openalex-snapshot
Role of normalization in spectral clustering for stochastic blockmodels
inferredcites →https://doi.org/10.1214/14-ejs978openalex-snapshot
Perfect clustering for stochastic blockmodel graphs via adjacency spectral embedding
inferredcites →https://doi.org/10.1214/17-aos1623openalex-snapshot
Limit theorems for eigenvectors of the normalized Laplacian for random graphs
inferredcites →https://doi.org/10.1214/18-aos1752openalex-snapshot
The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics
inferredcites →https://doi.org/10.1214/20-aos1976openalex-snapshot
Network representation using graph root distributions
inferredcites →https://doi.org/10.1214/20-sts787openalex-snapshot
On Estimation and Inference in Latent Structure Random Graphs
inferredcites →https://doi.org/10.1561/9781680834772openalex-snapshot
Community Detection and Stochastic Block Models
inferredcites →https://doi.org/10.21136/cmj.1973.101168openalex-snapshot
Algebraic connectivity of graphs
inferredcites →https://doi.org/10.37236/3576openalex-snapshot
Spectra of Edge-Independent Random Graphs
inferredcites →https://doi.org/10.48550/arxiv.0705.4485openalex-snapshot
Mixed membership stochastic blockmodels
inferredcites →https://doi.org/10.48550/arxiv.0711.1146openalex-snapshot
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inferredcites →https://doi.org/10.48550/arxiv.1309.4111openalex-snapshot
Regularized Spectral Clustering under the Degree-Corrected Stochastic Blockmodel
inferredcites →https://doi.org/10.48550/arxiv.1703.02998openalex-snapshot
A note on quickly sampling a sparse matrix with low rank expectation
inferredcites →https://doi.org/10.48550/arxiv.1705.04518openalex-snapshot
Consistency of adjacency spectral embedding for the mixed membership stochastic blockmodel
inferredcites →https://doi.org/10.48550/arxiv.1709.05454openalex-snapshot
Statistical inference on random dot product graphs: a survey
inferredcites →https://doi.org/10.48550/arxiv.1710.10936openalex-snapshot
Asymptotically efficient estimators for stochastic blockmodels: the naive MLE, the rank-constrained MLE, and the spectral
inferredcites →https://doi.org/10.48550/arxiv.2003.14250openalex-snapshot
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inferredcites →https://doi.org/10.48550/arxiv.2106.01260openalex-snapshot
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inferredcites →https://doi.org/10.7551/mitpress/1120.001.0001openalex-snapshot
Advances in Neural Information Processing Systems 14
inferredcites →https://doi.org/10.7551/mitpress/7503.001.0001openalex-snapshot
Advances in Neural Information Processing Systems 19

What points at this work

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