Spectral Detection in the Censored Block Model

被引：0

作者：

Saade, Alaa ^{[1
]}

Krzakala, Florent ^{[2
]}

Lelarge, Marc ^{[3
,4
]}

Zdeborova, Lenka ^{[5
,6
]}

机构：

[1] Ecole Normale Super, Lab Phys Stat, 24 Rue Lhomond, F-75005 Paris, France

[2] Univ Paris 06, CNRS UMR 8550, Ecole Normale Super, Sorbonne Univ,Lab Phys Stat, Paris, France

[3] INRIA, Paris, France

[4] Ecole Normale Super, Paris, France

[5] CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France

[6] CNRS, URA 2306, F-91191 Gif Sur Yvette, France

来源：

2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2015年

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider the problem of partially recovering hidden binary variables from the observation of (few) censored edge weights, a problem with applications in community detection, correlation clustering and synchronization. We describe two spectral algorithms for this task based on the non-backtracking and the Bethe Hessian operators. These algorithms are shown to be asymptotically optimal for the partial recovery problem, in that they detect the hidden assignment as soon as it is information theoretically possible to do so.

引用

页码：1184 / 1188

页数：5

共 50 条

[31] A generalized stochastic block model for overlapping community detection
Liu, Xuan-Chen
Zhang, Li-Jie
Xu, Xin-Jian
[J]. EPL, 2024, 146 (04)
[32] Efficient Distributed Community Detection in the Stochastic Block Model
Fathi, Reza
Molla, Anisur Rahaman
Pandurangan, Gopal
[J]. 2019 39TH IEEE INTERNATIONAL CONFERENCE ON DISTRIBUTED COMPUTING SYSTEMS (ICDCS 2019), 2019, : 409 - 419
[33] Community detection in the sparse hypergraph stochastic block model
Pal, Soumik
Zhu, Yizhe
[J]. RANDOM STRUCTURES & ALGORITHMS, 2021, 59 (03) : 407 - 463
[34] Liquid trace detection and identification by spectral reflectance model
Aharoni, Ran
Elisha, Shmuel
Peri, David
Kendler, Shai
[J]. OPTICAL ENGINEERING, 2019, 58 (07)
[35] PROCEDURES FOR ANALYZING BLOCK-DESIGNS WITH CENSORED-DATA
GROGGEL, DJ
SCHAEFER, RL
SKILLINGS, JH
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1987, 16 (02) : 431 - 444
[36] CONSISTENT ADJACENCY-SPECTRAL PARTITIONING FOR THE STOCHASTIC BLOCK MODEL WHEN THE MODEL PARAMETERS ARE UNKNOWN
Fishkind, Donniell E.
Sussman, Daniel L.
Tang, Minh
Vogelstein, Joshua T.
Priebe, Carey E.
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2013, 34 (01) : 23 - 39
[37] RANK-TESTS FOR CENSORED RANDOMIZED BLOCK-DESIGNS
WOOLSON, RF
LACHENBRUCH, PA
[J]. BIOMETRIKA, 1981, 68 (02) : 427 - 435
[38] Stability threshold and phase transition of generalized censored block models
Chan, Chun Lam
Macris, Nicolas
[J]. 2017 IEEE INFORMATION THEORY WORKSHOP (ITW), 2017, : 384 - 388
[39] Efficient non parametric spectral density estimation with censored observations
Efromovich, Sam
Wu, Jiaju
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (18) : 6671 - 6694
[40] Sparse and smooth: Improved guarantees for spectral clustering in the dynamic stochastic block model
Keriven, Nicolas
Vaiter, Samuel
[J]. ELECTRONIC JOURNAL OF STATISTICS, 2022, 16 (01): : 1330 - 1366

← 1 2 3 4 5 →