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Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite programs are often slow in practice, so speed up techniques…

最优化与控制 · 数学 2022-05-11 Pedro Abdalla , Afonso S. Bandeira

The labeled stochastic block model is a random graph model representing networks with community structure and interactions of multiple types. In its simplest form, it consists of two communities of approximately equal size, and the edges…

机器学习 · 统计学 2015-02-12 Marc Lelarge , Laurent Massoulié , Jiaming Xu

Effective convolutional neural networks are trained on large sets of labeled data. However, creating large labeled datasets is a very costly and time-consuming task. Semi-supervised learning uses unlabeled data to train a model with higher…

计算机视觉与模式识别 · 计算机科学 2016-06-16 Mehdi Sajjadi , Mehran Javanmardi , Tolga Tasdizen

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

社会与信息网络 · 计算机科学 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

Anomaly detection is being regarded as an unsupervised learning task as anomalies stem from adversarial or unlikely events with unknown distributions. However, the predictive performance of purely unsupervised anomaly detection often fails…

机器学习 · 计算机科学 2014-01-27 Nico Goernitz , Marius Micha Kloft , Konrad Rieck , Ulf Brefeld

Many statistical inference problems correspond to recovering the values of a set of hidden variables from sparse observations on them. For instance, in a planted constraint satisfaction problem such as planted 3-SAT, the clauses are sparse…

数据结构与算法 · 计算机科学 2021-07-20 Siqi Liu , Sidhanth Mohanty , Prasad Raghavendra

We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point…

概率论 · 数学 2020-03-20 Emmanuel Abbe , Francois Baccelli , Abishek Sankararaman

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

机器学习 · 统计学 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

In this work, we improve the accuracy of several known algorithms to address the classification of large datasets when few labels are available. Our framework lies in the realm of graph-based semi-supervised learning. With novel…

机器学习 · 计算机科学 2024-07-02 Farid Bozorgnia

Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them…

物理与社会 · 物理学 2011-03-02 Brian Karrer , M. E. J. Newman

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

机器学习 · 统计学 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

Active learning in semi-supervised classification involves introducing additional labels for unlabelled data to improve the accuracy of the underlying classifier. A challenge is to identify which points to label to best improve performance…

机器学习 · 统计学 2024-11-18 Kevin Miller , Andrea L. Bertozzi

Community detection is a fundamental problem in network analysis, with applications in many diverse areas. The stochastic block model is a common tool for model-based community detection, and asymptotic tools for checking consistency of…

统计理论 · 数学 2015-03-18 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

The detection of weak and rare effects in large amounts of data arises in a number of modern data analysis problems. Known results show that in this situation the potential of statistical inference is severely limited by the large-scale…

统计理论 · 数学 2022-05-10 Jiyao Kou , Guenther Walther

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

社会与信息网络 · 计算机科学 2014-12-24 Se-Young Yun , Alexandre Proutiere

Federated Learning is machine learning in the context of a network of clients whilst maintaining data residency and/or privacy constraints. Community detection is the unsupervised discovery of clusters of nodes within graph-structured data.…

机器学习 · 计算机科学 2023-12-15 William Leeney , Ryan McConville

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

概率论 · 数学 2023-10-26 Emmanuel Abbe

Graph-based semi-supervised learning usually involves two separate stages, constructing an affinity graph and then propagating labels for transductive inference on the graph. It is suboptimal to solve them independently, as the correlation…

计算机视觉与模式识别 · 计算机科学 2019-02-19 Qilin Li , Senjian An , Ling Li , Wanquan Liu

One promising approach to dealing with datapoints that are outside of the initial training distribution (OOD) is to create new classes that capture similarities in the datapoints previously rejected as uncategorizable. Systems that generate…

机器学习 · 计算机科学 2020-02-25 Jeremy Nixon , Jeremiah Liu , David Berthelot

We investigate model based classification with partially labelled training data. In many biostatistical applications, labels are manually assigned by experts, who may leave some observations unlabelled due to class uncertainty. We analyse…

统计方法学 · 统计学 2019-04-08 Daniel Ahfock , Geoffrey J. McLachlan