Asymptotic Gaussian Fluctuations of Spectral Clustering Eigenvectors

Similar Works

Action	Title	Year	Authors
+	Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering	2024	Hugo Lebeau Florent Chatelain Romain Couillet
+	Limit theorems for eigenvectors of the normalized Laplacian for random graphs	2016	Minh Tang Carey E. Priebe
+	Role of normalization in spectral clustering for stochastic blockmodels	2015	Purnamrita Sarkar Peter J. Bickel
+ PDF Chat	Performance analysis of spectral community detection in realistic graph models	2016	Hafiz Tiomokoali Romain Couillet
+ PDF Chat	Limit theorems for eigenvectors of the normalized Laplacian for random graphs	2018	Minh Tang Carey E. Priebe
+ PDF Chat	Gaussian Mixture Models for Stochastic Block Models with Non-Vanishing Noise	2019	Heather Mathews Vaishakhi Mayya Alexander Volfovsky Galen Reeves
+	Spectral clustering and the high-dimensional stochastic blockmodel	2011	Karl Rohe Sourav Chatterjee Bin Yu
+ PDF Chat	Random Matrix Asymptotics of Inner Product Kernel Spectral Clustering	2018	Hafiz Tiomoko Ali Abla Kammoun Romain Couillet
+	Gaussian Mixture Models for Stochastic Block Models with Non-Vanishing Noise	2019	Heather Mathews Vaishakhi Mayya Alexander Volfovsky Galen Reeves
+	Gaussian Mixture Models for Stochastic Block Models with Non-Vanishing Noise	2019	Heather Mathews Vaishakhi Mayya Alexander Volfovsky Galen Reeves
+	A simpler spectral approach for clustering in directed networks	2021	Simon Coste Ludovic Stephan
+	Strong Consistency, Graph Laplacians, and the Stochastic Block Model	2020	Shaofeng Deng Shuyang Ling Thomas Strohmer
+	Strong Consistency, Graph Laplacians, and the Stochastic Block Model	2020	Shaofeng Deng Shuyang Ling Thomas Strohmer
+	Spectral Clustering via Graph Filtering: Consistency on the High-Dimensional Stochastic Block Model	2017	Muni Sreenivas Pydi Ambedkar Dukkipati
+	Spectral clustering under degree heterogeneity: a case for the random walk Laplacian	2021	Alexander Modell Patrick Rubin‐Delanchy
+	Spectral clustering under degree heterogeneity: a case for the random walk Laplacian	2021	Alexander Modell Patrick Rubin‐Delanchy
+	Higher-order fluctuations in dense random graph models	2020	Gursharn Kaur Adrian Röllin
+	Higher-order fluctuations in dense random graph models	2020	Gursharn Kaur Adrian Röllin
+	Limit results for distributed estimation of invariant subspaces in multiple networks inference and PCA	2022	Runbing Zheng Minh Tang
+	Kernel spectral learning and inference in random geometric graphs	2020	Ernesto Araya Valdivia

Works That Cite This (4)

Action	Title	Year	Authors
+	Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering	2024	Hugo Lebeau Florent Chatelain Romain Couillet
+	Sparse Quantized Spectral Clustering	2020	Zhenyu Liao Romain Couillet Michael W. Mahoney
+ PDF Chat	Sparse Quantized Spectral Clustering	2021	Zhenyu Liao Romain Couillet Michael W. Mahoney
+	Two-way kernel matrix puncturing: towards resource-efficient PCA and spectral clustering	2021	Romain Couillet Florent Chatelain Nicolas Le Bihan

Works Cited by This (14)

Action	Title	Year	Authors
+	A central limit theorem for scaled eigenvectors of random dot product graphs	2013	Avanti Athreya Vince Lyzinski David J. Marchette Carey E. Priebe Daniel L. Sussman Minh Tang
+	Free Convolution with a Semicircular Distribution and Eigenvalues of Spiked Deformations of Wigner Matrices	2011	Mireille Capitaine Catherine Donati-Martin Delphine Féral Maxime Février
+	The singular values and vectors of low rank perturbations of large rectangular random matrices	2012	Florent Benaych-Georges Raj Rao Nadakuditi
+ PDF Chat	A tutorial on spectral clustering	2007	Ulrike von Luxburg
+ PDF Chat	On Estimation of the Noise Variance in High Dimensional Probabilistic Principal Component Analysis	2015	Damien Passemier Zhaoyuan Li Jianfeng Yao
+ PDF Chat	RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS	2011	Terence Tao Van Vu
+	On the eigenvectors of large dimensional sample covariance matrices	1989	Jack W. Silverstein
+	Asymptotically efficient estimators for stochastic blockmodels: the naive MLE, the rank-constrained MLE, and the spectral	2017	Minh Tang Joshua Cape Carey E. Priebe
+ PDF Chat	Improved spectral community detection in large heterogeneous networks	2018	Hafiz Tiomoko Ali Romain Couillet
+	Kernel spectral clustering of large dimensional data	2016	Romain Couillet Florent Benaych-Georges