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The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

信息论 · 计算机科学 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

We consider multi-armed bandit problems in social groups wherein each individual has bounded memory and shares the common goal of learning the best arm/option. We say an individual learns the best option if eventually (as $t\to \infty$) it…

分布式、并行与集群计算 · 计算机科学 2018-12-27 Lili Su , Martin Zubeldia , Nancy Lynch

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

应用统计 · 统计学 2018-11-06 Cheng Zhang , Frederick A. Matsen

This paper considers social learning amongst rational agents (for example, sensors in a network). We consider three models of social learning in increasing order of sophistication. In the first model, based on its private observation of a…

信息论 · 计算机科学 2011-05-17 Vikram Krishnamurthy

In this paper we consider a network scenario in which agents can evaluate each other according to a score graph that models some physical or social interaction. The goal is to design a distributed protocol, run by the agents, allowing them…

最优化与控制 · 数学 2017-06-14 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

We study sequential social learning with endogenous information acquisition when agents have a taste for nonconformity. Each agent observes predecessors' actions, chooses whether to acquire a private signal (and its precision), and then…

理论经济学 · 经济学 2026-01-05 Georgy Lukyanov , Vasilii Ivanik

We develop a Bayesian hierarchical model to identify communities in networks for which we do not observe the edges directly, but instead observe a series of interdependent signals for each of the nodes. Fitting the model provides an…

社会与信息网络 · 计算机科学 2020-02-12 Till Hoffmann , Leto Peel , Renaud Lambiotte , Nick S. Jones

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

应用统计 · 统计学 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

多智能体系统 · 计算机科学 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

We consider a group of Bayesian agents who are each given an independent signal about an unknown state of the world, and proceed to communicate with each other. We study the question of asymptotic learning: do agents learn the state of the…

统计理论 · 数学 2012-11-14 Elchanan Mossel , Allan Sly , Omer Tamuz

Social network simulation is developed to provide a comprehensive understanding of social networks in the real world, which can be leveraged for a wide range of applications such as group behavior emergence, policy optimization, and…

社会与信息网络 · 计算机科学 2026-01-05 Yunyao Zhang , Zikai Song , Hang Zhou , Wenfeng Ren , Yi-Ping Phoebe Chen , Junqing Yu , Wei Yang

We consider the problem of information aggregation in federated decision making, where a group of agents collaborate to infer the underlying state of nature without sharing their private data with the central processor or each other. We…

机器学习 · 计算机科学 2023-05-09 Mert Kayaalp , Yunus Inan , Visa Koivunen , Emre Telatar , Ali H. Sayed

We commonly assume that data are a homogeneous set of observations when learning the structure of Bayesian networks. However, they often comprise different data sets that are related but not homogeneous because they have been collected in…

机器学习 · 统计学 2022-11-16 Marco Scutari , Christopher Marquis , Laura Azzimonti

We propose a distributed Bayesian quickest change detection algorithm for sensor networks, based on a random gossip inter-sensor communication structure. Without a control or fusion center, each sensor executes its local change detection…

信息论 · 计算机科学 2015-12-09 Di Li , Soummya Kar , Fuad E. Alsaadi , Shuguang Cui

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

机器学习 · 统计学 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

In conventional distributed learning over a network, multiple agents collaboratively build a common machine learning model. However, due to the underlying non-i.i.d. data distribution among agents, the unified learning model becomes…

分布式、并行与集群计算 · 计算机科学 2023-06-28 Zhuojun Tian , Zhaoyang Zhang , Zhaohui Yang , Richeng Jin , Huaiyu Dai

In this work we introduce a new model of decision-making by agents in a social network. Agents have innate preferences over the strategies but, because of the social interactions, the decision of the agents are not only affected by their…

计算机科学与博弈论 · 计算机科学 2020-02-05 Angelo Fanelli , Dimitris Fotakis

When the data are stored in a distributed manner, direct application of traditional statistical inference procedures is often prohibitive due to communication cost and privacy concerns. This paper develops and investigates two…

机器学习 · 统计学 2021-08-04 Jianqing Fan , Yongyi Guo , Kaizheng Wang

Structure learning of Bayesian networks is an important problem that arises in numerous machine learning applications. In this work, we present a novel approach for learning the structure of Bayesian networks using the solution of an…

机器学习 · 计算机科学 2012-11-22 Tuhin Sahai , Stefan Klus , Michael Dellnitz

We study a model of learning on social networks in dynamic environments, describing a group of agents who are each trying to estimate an underlying state that varies over time, given access to weak signals and the estimates of their social…

社会与信息网络 · 计算机科学 2013-07-19 Rafael M. Frongillo , Grant Schoenebeck , Omer Tamuz