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- articleJanuary 2014
Consistent Latent Position Estimation and Vertex Classification for Random Dot Product Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence (ITPM), Volume 36, Issue 1January 2014, Pages 48–57https://doi.org/10.1109/TPAMI.2013.135In this work, we show that using the eigen-decomposition of the adjacency matrix, we can consistently estimate latent positions for random dot product graphs provided the latent positions are i.i.d. from some distribution. If class labels are observed ...
- research-articleJanuary 2013
Consistent Adjacency-Spectral Partitioning for the Stochastic Block Model When the Model Parameters Are Unknown
SIAM Journal on Matrix Analysis and Applications (SIMAX), Volume 34, Issue 12013, Pages 23–39https://doi.org/10.1137/120875600For random graphs distributed according to a stochastic block model, we consider the inferential task of partitioning vertices into blocks using spectral techniques. Spectral partitioning using the normalized Laplacian and the adjacency matrix have both been ...