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Motivated by a neuroscience application we study the problem of statistical estimation of a high-dimensional covariance matrix with a block structure. The block model embeds a structural assumption: the population of items (neurons) can be…

统计方法学 · 统计学 2025-03-03 Yunran Chen , Surya T Tokdar , Jennifer M Groh

The stochastic block model (SBM) is a popular tool for community detection in networks, but fitting it by maximum likelihood (MLE) involves a computationally infeasible optimization problem. We propose a new semidefinite programming (SDP)…

机器学习 · 计算机科学 2016-03-17 Arash A. Amini , Elizaveta Levina

It is now widely accepted that knowledge can be acquired from networks by clustering their vertices according to connection profiles. Many methods have been proposed and in this paper we concentrate on the Stochastic Block Model (SBM). The…

应用统计 · 统计学 2010-07-27 Pierre Latouche , Etienne Birmele , Christophe Ambroise

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

系统与控制 · 计算机科学 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

We study the problem of identifying the parameters of a linear system from its response to multiple unknown waveforms. We assume that the system response is a scaled superposition of time-delayed and frequency-shifted versions of the…

信息论 · 计算机科学 2022-05-25 Mohamed A. Suliman , Wei Dai

The stochastic block model (SBM) is a fundamental model for studying graph clustering or community detection in networks. It has received great attention in the last decade and the balanced case, i.e., assuming all clusters have large size,…

机器学习 · 计算机科学 2023-10-24 Chandra Sekhar Mukherjee , Pan Peng , Jiapeng Zhang

Uniform and smooth data collection is often infeasible in real-world scenarios. In this paper, we propose an identification framework to effectively handle the so-called non-uniform observations, i.e., data scenarios that include missing…

系统与控制 · 电气工程与系统科学 2025-06-09 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

Blind system identification is known to be a hard ill-posed problem and without further assumptions, no unique solution is at hand. In this contribution, we are concerned with the task of identifying an ARX model from only output…

系统与控制 · 计算机科学 2013-03-28 Henrik Ohlsson , Lillian Ratliff , Roy Dong , S. Shankar Sastry

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

We consider the problem of analyzing timestamped relational events between a set of entities, such as messages between users of an on-line social network. Such data are often analyzed using static or discrete-time network models, which…

社会与信息网络 · 计算机科学 2019-02-25 Ruthwik R. Junuthula , Maysam Haghdan , Kevin S. Xu , Vijay K. Devabhaktuni

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

社会与信息网络 · 计算机科学 2023-01-09 Quentin Duchemin

The stochastic block model (SBM) is a probabilistic model de- signed to describe heterogeneous directed and undirected graphs. In this paper, we address the asymptotic inference on SBM by use of maximum- likelihood and variational…

统计理论 · 数学 2012-10-02 Alain Celisse , J. -J. Daudin , Laurent Pierre

Stochasticity plays a key role in many biological systems, necessitating the calibration of stochastic mathematical models to interpret associated data. For model parameters to be estimated reliably, it is typically the case that they must…

统计方法学 · 统计学 2025-12-11 Alexander P Browning , Michael J Chappell , Hamid Rahkooy , Torkel E Loman , Ruth E Baker

Most real-world networks evolve over time. Existing literature proposes models for dynamic networks that are either unlabeled or assumed to have a single membership structure. On the other hand, a new family of Mixed Membership Stochastic…

机器学习 · 计算机科学 2023-04-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

统计计算 · 统计学 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

In this study, a perceptually hidden object-recognition method is investigated to generate secure images recognizable by humans but not machines. Hence, both the perceptual information hiding and the corresponding object recognition methods…

计算机视觉与模式识别 · 计算机科学 2020-01-23 Koki Madono , Masayuki Tanaka , Masaki Onishi , Tetsuji Ogawa

A valued stochastic blockmodel (SBM) is a general way to view networked data in which nodes are grouped into blocks and links between them are measured by counts or labels. This family allows for varying dyad sampling schemes, thereby…

Community detection, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

统计理论 · 数学 2015-06-04 T. Tony Cai , Xiaodong Li

Multiscale stochastic dynamical systems have been widely adopted to a variety of scientific and engineering problems due to their capability of depicting complex phenomena in many real world applications. This work is devoted to…

机器学习 · 统计学 2024-01-02 Lingyu Feng , Ting Gao , Min Dai , Jinqiao Duan

We consider semidefinite programming (SDP) for the binary stochastic block model with equal-sized communities. Prior work of Hajek, Wu, and Xu proposed an SDP (sym-SDP) for the symmetric case where the intra-community edge probabilities are…

信息论 · 计算机科学 2025-06-24 Julia Gaudio , Phawin Prongpaophan