OPTIMAL COMBINATION POLICIES FOR ADAPTIVE SOCIAL LEARNING

被引:3
作者
Hu, Ping [1 ]
Bordignon, Virginia [1 ]
Vlaski, Stefan [2 ]
Saye, Ali H. [1 ]
机构
[1] Ecole Polytech Fed Lausanne EPFL, Sch Engn, Lausanne, Switzerland
[2] Imperial Coll London, Dept Elect & Elect Engn, London, England
来源
2022 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2022年
关键词
Social learning; combination policy; large deviations; adaptation time; NETWORKS;
D O I
10.1109/ICASSP43922.2022.9746784
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper investigates the effect of combination policies on the performance of adaptive social learning in non-stationary environments. By analyzing the relation between the error probability and the underlying graph topology, we prove that in the slow adaptation regime, combination policies with a uniform Perron eigenvector will provide the smallest steady-state error probability. This result indicates that in terms of learning accuracy, doubly-stochastic combination policies yield optimal performance. Moreover, we estimate the adaptation time of adaptive social learning in the small signal-to-noise regime and show that in this regime, the influence of combination policies on the adaptation time is insignificant.
引用
收藏
页码:5842 / 5846
页数:5
相关论文
共 20 条
[1]   Adaptive Social Learning [J].
Bordignon, Virginia ;
Matta, Vincenzo ;
Sayed, Ali H. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (09) :6053-6081
[2]   Asymptotic Optimality of Running Consensus in Testing Binary Hypotheses [J].
Braca, Paolo ;
Marano, Stefano ;
Matta, Vincenzo ;
Willett, Peter .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (02) :814-825
[3]  
Den Hollander Frank, 2008, Large deviations, V14
[4]  
Jadbabaie A., 2013, Paper 13-28
[5]   Non-Bayesian social learning [J].
Jadbabaie, Ali ;
Molavi, Pooya ;
Sandroni, Alvaro ;
Tahbaz-Salehi, Alireza .
GAMES AND ECONOMIC BEHAVIOR, 2012, 76 (01) :210-225
[6]  
Kassam S.A., 1987, Signal Detection in Non-Gaussian Noise, V1
[7]   Social Learning and Distributed Hypothesis Testing [J].
Lalitha, Anusha ;
Javidi, Tara ;
Sarwate, Anand D. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (09) :6161-6179
[8]   Interplay Between Topology and Social Learning Over Weak Graphs [J].
Matta, Vincenzo ;
Bordignon, Virginia ;
Santos, Augusto ;
Sayed, Ali H. .
IEEE OPEN JOURNAL OF SIGNAL PROCESSING, 2020, 1 :99-119
[9]   Distributed Detection Over Adaptive Networks: Refined Asymptotics and the Role of Connectivity [J].
Matta, Vincenzo ;
Braca, Paolo ;
Marano, Stefano ;
Sayed, Ali H. .
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS, 2016, 2 (04) :442-460
[10]   Diffusion-Based Adaptive Distributed Detection: Steady-State Performance in the Slow Adaptation Regime [J].
Matta, Vincenzo ;
Braca, Paolo ;
Marano, Stefano ;
Sayed, Ali H. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (08) :4710-4732