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The contextual stochastic block model (cSBM) was proposed for unsupervised community detection on attributed graphs where both the graph and the high-dimensional node information correlate with node labels. In the context of machine…

社会与信息网络 · 计算机科学 2024-07-22 O. Duranthon , L. Zdeborová

We consider the problem of exact community recovery in the Labeled Stochastic Block Model (LSBM) with $k$ communities, where each pair of vertices is associated with a label from the set $\{0,1, \dots, L\}$. A pair of vertices from…

统计理论 · 数学 2024-08-26 Julia Gaudio , Heming Liu

Noisy training set usually leads to the degradation of generalization and robustness of neural networks. In this paper, we propose using a theoretically guaranteed noisy label detection framework to detect and remove noisy data for Learning…

机器学习 · 计算机科学 2022-03-22 Yikai Wang , Xinwei Sun , Yanwei Fu

A sparse stochastic block model (SBM) with two communities is defined by the community probability $\pi_0,\pi_1$, and the connection probability between communities $a,b\in\{0,1\}$, namely $q_{ab} = \frac{\alpha_{ab}}{n}$. When $q_{ab}$ is…

统计方法学 · 统计学 2017-10-17 Lu Liu

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

信息论 · 计算机科学 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Multi-layer networks arise naturally in various domains including biology, finance and sociology, among others. The multi-layer stochastic block model (multi-layer SBM) is commonly used for community detection in the multi-layer networks.…

统计理论 · 数学 2024-06-18 Wenqing Su , Xiao Guo , Ying Yang

In statistical network analysis, we often assume either the full network is available or multiple subgraphs can be sampled to estimate various global properties of the network. However, in a real social network, people frequently make…

统计方法学 · 统计学 2024-07-04 Xiao Han , Y. X. Rachel Wang , Qing Yang , Xin Tong

Semi-supervised semantic segmentation requires the model to effectively propagate the label information from limited annotated images to unlabeled ones. A challenge for such a per-pixel prediction task is the large intra-class variation,…

计算机视觉与模式识别 · 计算机科学 2022-10-11 Hai-Ming Xu , Lingqiao Liu , Qiuchen Bian , Zhen Yang

Semidefinite programs have recently been developed for the problem of community detection, which may be viewed as a special case of the stochastic blockmodel. Here, we develop a semidefinite program that can be tailored to other instances…

统计理论 · 数学 2016-11-17 David Choi

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

机器学习 · 计算机科学 2013-08-19 Andrew Cotter

Most recent developments on the stochastic block model (SBM) rely on the knowledge of the model parameters, or at least on the number of communities. This paper introduces efficient algorithms that do not require such knowledge and yet…

概率论 · 数学 2015-06-12 Emmanuel Abbe , Colin Sandon

\cite{bickel2009nonparametric} developed a general framework to establish consistency of community detection in stochastic block model (SBM). In most applications of this framework, the community label is discrete. For example, in…

统计方法学 · 统计学 2017-10-17 Lu Liu , Lili Wang , Qingsong Xu

Many inference problems, notably the stochastic block model (SBM) that generates a random graph with a hidden community structure, undergo phase transitions as a function of the signal-to-noise ratio, and can exhibit hard phases in which…

无序系统与神经网络 · 物理学 2019-04-09 Federico Ricci-Tersenghi , Guilhem Semerjian , Lenka Zdeborova

The interplay between computational efficiency and statistical accuracy in high-dimensional inference has drawn increasing attention in the literature. In this paper, we study computational and statistical boundaries for submatrix…

统计理论 · 数学 2020-07-27 T. Tony Cai , Tengyuan Liang , Alexander Rakhlin

The integration of network information and node attribute information has recently gained significant attention in the community detection literature. In this work, we consider community detection in the Contextual Labeled Stochastic Block…

机器学习 · 统计学 2025-01-28 Dian Jin , Yuqian Zhang , Qiaosheng Zhang

In this study, we examine the efficacy of post-hoc local attribution methods in identifying features with predictive power from irrelevant ones in domains characterized by a low signal-to-noise ratio (SNR), a common scenario in real-world…

机器学习 · 计算机科学 2024-06-19 Ge Shi , Ziwen Kan , Jason Smucny , Ian Davidson

In bipartite networks, community structures are restricted to being disassortative, in that nodes of one type are grouped according to common patterns of connection with nodes of the other type. This makes the stochastic block model (SBM),…

物理与社会 · 物理学 2020-09-30 Tzu-Chi Yen , Daniel B. Larremore

Quantification learning deals with the task of estimating the target label distribution under label shift. In this paper, we first present a unifying framework, distribution feature matching (DFM), that recovers as particular instances…

机器学习 · 统计学 2023-07-04 Bastien Dussap , Gilles Blanchard , Badr-Eddine Chérief-Abdellatif

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

应用统计 · 统计学 2020-03-24 Subhadeep Paul , Yuguo Chen

Stochastic block models (SBMs) are often used to find assortative community structures in networks, such that the probability of connections within communities is higher than in between communities. However, classic SBMs are not limited to…

社会与信息网络 · 计算机科学 2020-04-27 Daniel Gribel , Thibaut Vidal , Michel Gendreau