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A statistical interpretation of spectral embedding: the generalised random dot product graph

16 September 2017

Patrick Rubin-Delanchy

Joshua Cape

M. Tang

Carey E. Priebe

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Papers citing "A statistical interpretation of spectral embedding: the generalised random dot product graph"

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Title
Fundamental Limits of Learning High-dimensional Simplices in Noisy Regimes Seyed Amir Hossein Saberi Amir Najafi Abolfazl Motahari B. Khalaj 69 0 0 11 Jun 2025
Asymptotically perfect seeded graph matching without edge correlation (and applications to inference) Tong Qi Vera Andersson Peter Viechnicki V. Lyzinski 83 0 0 03 Jun 2025
Multiresolution Analysis and Statistical Thresholding on Dynamic Networks Raphaël Romero T. D. Bie Nick Heard Alexander Modell 52 0 0 01 Jun 2025
Weighted Random Dot Product Graphs Bernardo Marenco P. Bermolen Marcelo Fiori Federico Larroca Gonzalo Mateos 99 1 0 06 May 2025
Signal Recovery from Random Dot-Product Graphs Under Local Differential Privacy Siddharth Vishwanath Jonathan Hehir 132 0 0 24 Apr 2025
Interpretability of Graph Neural Networks to Assess Effects of Global Change Drivers on Ecological Networks Emré Anakok Pierre Barbillon Colin Fontaine Elisa Thébault 87 0 0 19 Mar 2025
LASE: Learned Adjacency Spectral Embeddings Sofía Pérez Casulo Marcelo Fiori Federico Larroca Gonzalo Mateos AI4TS GNN 111 0 0 23 Dec 2024
Limit Results for Estimation of Connectivity Matrix in Multi-layer Stochastic Block Models Wenqing Su Xiao Guo Ying Yang 77 0 0 17 Jun 2024
Learning Joint and Individual Structure in Network Data with Covariates Carson James Dongbang Yuan Irina Gaynanova Jesús Arroyo CML 64 1 0 13 Jun 2024
Transfer Learning for Latent Variable Network Models Akhil Jalan Arya Mazumdar Soumendu Sundar Mukherjee Purnamrita Sarkar 125 1 0 05 Jun 2024
Valid Conformal Prediction for Dynamic GNNs Ed Davis Ian Gallagher Daniel J. Lawson Patrick Rubin-Delanchy AI4CE 241 4 0 29 May 2024
Entrywise error bounds for low-rank approximations of kernel matrices Alexander Modell 91 0 0 23 May 2024
Refined Graph Encoder Embedding via Self-Training and Latent Community Recovery Cencheng Shen Jonathan Larson Ha Trinh Carey E. Priebe 94 2 0 21 May 2024
Improved Algorithm and Bounds for Successive Projection Jiashun Jin Z. Ke Gabriel Moryoussef Jiajun Tang Jingming Wang 86 3 0 16 Mar 2024
On varimax asymptotics in network models and spectral methods for dimensionality reduction Joshua Cape 85 1 0 08 Mar 2024
Bipartite Graph Variational Auto-Encoder with Fair Latent Representation to Account for Sampling Bias in Ecological Networks Emré Anakok Pierre Barbillon Colin Fontaine Elisa Thébault CML 63 2 0 04 Mar 2024
On inference for modularity statistics in structured networks Anirban Mitra Konasale Prasad Joshua Cape 101 0 0 23 Feb 2024
Signed Diverse Multiplex Networks: Clustering and Inference Marianna Pensky 72 2 0 14 Feb 2024
Semiparametric Modeling and Analysis for Longitudinal Network Data Yinqiu He Jiajin Sun Yuang Tian Z. Ying Yang Feng 85 1 0 23 Aug 2023
Minimax rates for latent position estimation in the generalized random dot product graph Hao Yan Keith D. Levin 99 2 0 04 Jul 2023
On the Validity of Conformal Prediction for Network Data Under Non-Uniform Sampling Robert Lunde 134 5 0 12 Jun 2023
Intensity Profile Projection: A Framework for Continuous-Time Representation Learning for Dynamic Networks Alexander Modell Ian Gallagher Emma Ceccherini N. Whiteley Patrick Rubin-Delanchy 70 4 0 09 Jun 2023
Semi-supervised Community Detection via Structural Similarity Metrics Yi-Huei Jiang Tracy Ke 100 0 0 01 Jun 2023
An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster Analysis and Inference Joshua Agterberg Joshua Cape 78 1 0 10 May 2023
Discovering Communication Pattern Shifts in Large-Scale Labeled Networks using Encoder Embedding and Vertex Dynamics Cencheng Shen Jonathan Larson Ha Trinh Xihan Qin V. Prisacariu Carey E. Priebe 75 8 0 03 May 2023
Synergistic Graph Fusion via Encoder Embedding Cencheng Shen Carey E. Priebe Jonathan Larson Ha Trinh AI4CE 89 7 0 31 Mar 2023
Fitting Low-rank Models on Egocentrically Sampled Partial Networks G. Chan Tianxi Li EgoV 53 1 0 09 Mar 2023
Conformal Prediction for Network-Assisted Regression Robert Lunde Elizaveta Levina Ji Zhu 105 16 0 20 Feb 2023
Efficient Estimation for Longitudinal Networks via Adaptive Merging H. Zhang Junhui Wang 50 2 0 15 Nov 2022
Implications of sparsity and high triangle density for graph representation learning Hannah Sansford Alexander Modell N. Whiteley Patrick Rubin-Delanchy 65 1 0 27 Oct 2022
Dynamic Network Sampling for Community Detection Cong Mu Youngser Park Carey E. Priebe 62 3 0 29 Aug 2022
Adversarial contamination of networks in the setting of vertex nomination: a new trimming method Sheyda Peyman M. Tang V. Lyzinski AAML 58 0 0 20 Aug 2022
Lost in the Shuffle: Testing Power in the Presence of Errorful Network Vertex Labels Ayushi R. Saxena V. Lyzinski 97 1 0 18 Aug 2022
Perfect Spectral Clustering with Discrete Covariates J. Hehir Xiaoyue Niu Aleksandra B. Slavkovic 82 0 0 17 May 2022
Identifying Peer Influence in Therapeutic Communities Adjusting for Latent Homophily Shanjukta Nath K. Warren Subhadeep Paul 121 2 0 27 Mar 2022
Spectral embedding and the latent geometry of multipartite networks Alexander Modell Ian Gallagher Joshua Cape Patrick Rubin-Delanchy 52 1 0 08 Feb 2022
Online Change Point Detection for Weighted and Directed Random Dot Product Graphs Bernardo Marenco P. Bermolen Marcelo Fiori Federico Larroca Gonzalo Mateos 78 12 0 26 Jan 2022
$Asymptotics of $\ell_2$ Regularized Network Embeddings$ Asymptotics of $\ell_2$ Regularized Network Embeddings A. Davison 96 0 0 05 Jan 2022
Exact Representation of Sparse Networks with Symmetric Nonnegative Embeddings Sudhanshu Chanpuriya Ryan A. Rossi Anup B. Rao Tung Mai Nedim Lipka Zhao Song Cameron Musco 67 4 0 04 Nov 2021
Popularity Adjusted Block Models are Generalized Random Dot Product Graphs John Koo M. Tang M. Trosset 58 9 0 09 Sep 2021
Latent structure blockmodels for Bayesian spectral graph clustering Francesco Sanna Passino N. Heard 77 1 0 04 Jul 2021
Spectral embedding for dynamic networks with stability guarantees Ian Gallagher Andrew Jones Patrick Rubin-Delanchy 95 25 0 02 Jun 2021
Matrix factorisation and the interpretation of geodesic distance N. Whiteley Annie Gray Patrick Rubin-Delanchy 87 10 0 02 Jun 2021
Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence Joshua Agterberg Zachary Lubberts Carey Priebe 107 21 0 27 May 2021
Hypothesis Testing for Equality of Latent Positions in Random Graphs Xinjie Du M. Tang 63 11 0 23 May 2021
Spectral clustering under degree heterogeneity: a case for the random walk Laplacian Alexander Modell Patrick Rubin-Delanchy 63 9 0 03 May 2021
Exact Recovery of Community Structures Using DeepWalk and Node2vec Yichi Zhang M. Tang 55 2 0 18 Jan 2021
Latent space models for multiplex networks with shared structure Peter Macdonald Elizaveta Levina Ji Zhu 76 32 0 28 Dec 2020
Nonparametric Two-Sample Hypothesis Testing for Random Graphs with Negative and Repeated Eigenvalues Joshua Agterberg M. Tang Carey Priebe 62 15 0 17 Dec 2020
Spectral clustering on spherical coordinates under the degree-corrected stochastic blockmodel Francesco Sanna Passino N. Heard Patrick Rubin-Delanchy 66 14 0 09 Nov 2020