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State-space models (SSMs) are powerful probabilistic tools for modeling time-varying systems with latent dynamics. Inference in SSMs involves the estimation of latent states and parameters. In this work, we focus on parameter inference,…

统计计算 · 统计学 2026-05-22 Kostas Tsampourakis , Víctor Elvira

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

We study the stochastic block model with two communities where vertices contain side information in the form of a vertex label. These vertex labels may have arbitrary label distributions, depending on the community memberships. We analyze a…

机器学习 · 统计学 2019-05-24 Clara Stegehuis , Laurent Massoulié

In this work, we study the problem of community detection in the stochastic block model with adversarial node corruptions. Our main result is an efficient algorithm that can tolerate an $\epsilon$-fraction of corruptions and achieves error…

数据结构与算法 · 计算机科学 2022-07-26 Allen Liu , Ankur Moitra

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

We present new results on community recovery based on the PageRank Nibble algorithm on a sparse directed stochastic block model (dSBM). Our results are based on a characterization of the local weak limit of the dSBM and the limiting…

概率论 · 数学 2023-03-14 Sayan Banerjee , Prabhanka Deka , Mariana Olvera-Cravioto

The limit of the entropy in the stochastic block model (SBM) has been characterized in the sparse regime for the special case of disassortative communities [COKPZ17] and for the classical case of assortative communities but in the dense…

概率论 · 数学 2021-02-01 Emmanuel Abbe , Elisabetta Cornacchia , Yuzhou Gu , Yury Polyanskiy

The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

社会与信息网络 · 计算机科学 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

We study community detection in the \emph{symmetric $k$-stochastic block model}, where $n$ nodes are evenly partitioned into $k$ clusters with intra- and inter-cluster connection probabilities $p$ and $q$, respectively. Our main result is a…

机器学习 · 统计学 2025-11-21 Jingqiu Ding , Yiding Hua , Kasper Lindberg , David Steurer , Aleksandr Storozhenko

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

统计理论 · 数学 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Interference-aware resource allocation of time slots and frequency channels in single-antenna, halfduplex radio wireless sensor networks (WSN) is challenging. Devising distributed algorithms for such task further complicates the problem.…

信息论 · 计算机科学 2017-03-21 Panos N. Alevizos , Efthymios A. Vlachos , Aggelos Bletsas

In a paper that initiated the modern study of the stochastic block model, Decelle et al., backed by Mossel et al., made the following conjecture: Denote by $k$ the number of balanced communities, $a/n$ the probability of connecting inside…

概率论 · 数学 2016-09-16 Emmanuel Abbe , Colin Sandon

We consider the problem of mixed sparse linear regression with two components, where two real $k$-sparse signals $\beta_1, \beta_2$ are to be recovered from $n$ unlabelled noisy linear measurements. The sparsity is allowed to be sublinear…

机器学习 · 统计学 2023-07-07 Gabriel Arpino , Ramji Venkataramanan

Due to the massive number of devices in the M2M communication era, new challenges have been brought to the existing random-access (RA) mechanism, such as severe preamble collisions and resource block (RB) wastes. To address these problems,…

信息论 · 计算机科学 2019-10-09 Zhaoji Zhang , Ying Li , Lei Liu , Huimei Han

We consider graphs with two communities and analyze an algorithm for learning the community labels when the edges of the graph and only a small fraction of the labels are known in advance. The algorithm is based on the Glauber dynamics for…

统计理论 · 数学 2025-06-12 Konstantin Avrachenkov , Diego Goldsztajn

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

社会与信息网络 · 计算机科学 2024-12-06 Tianjun Ke , Zhiyu Xu

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

统计理论 · 数学 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

统计方法学 · 统计学 2016-06-23 Catherine Matias , Vincent Miele

In sequence learning tasks such as language modelling, Recurrent Neural Networks must learn relationships between input features separated by time. State of the art models such as LSTM and Transformer are trained by backpropagation of…

机器学习 · 计算机科学 2019-12-04 Jeremy Gordon , David Rawlinson , Subutai Ahmad

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

统计方法学 · 统计学 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo