Learning Under Imperfections By Networked Agents
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Learning Under Imperfections by Networked Agents
Distributed learning deals with the problem of optimizing aggregate cost functions by networked agents from streaming data. This scenario arises in many contexts including distributed estimation, machine learning, resource allocation, and in the modeling of flocking and swarming behavior by biological networks. Among several available solutions such as consensus and incremental strategies, the class of diffusion strategies has proven to be particularly attractive because these techniques are scalable, robust, fully-distributed, and endow networks with real-time adaptation and learning abilities. One key challenge in real applications is that networked agents generally face many types of asynchronous imperfections, such as random link failures, random data arrival times, noisy links, random topology changes, agents turning on and off randomly, and even drifting objectives. This dissertation provides a detailed analysis of the stability and performance of asynchronous diffusion strategies for solving distributed optimization and adaptation problems over networks in the presence of such imperfections. Conditions are developed to ensure the stability of the mean-square and mean-fourth-order moments of the network error vectors; closed-form expressions are derived to reveal how the network parameters influence the learning behavior; and the performance of the asynchronous networks is then compared against centralized solutions and synchronous networks. One notable conclusion is that the mean-square performance of asynchronous networks degrades only in the order of & mu, which is a small step-size parameter, while the convergence rate remains largely unaltered. A second notable conclusion is that even under the influence of asynchronous events, all agents in the adaptive network can still reach an O(& musuper1+ & gamma\super)$ near-agreement with some constant & gamma> 0, while approaching the desired solution within O(& mu) accuracy. These theoretical results provide a solid justification for the remarkable resilience of cooperative networks in the face of random imperfections at multiple levels: agents, links, data arrivals, and topology. The dissertation also examines a second challenging form of uncertainty arising from agents in a network pursuing different objectives or observing data arising from different unknown models. In these cases, indiscriminate cooperation will lead to undesired results. A useful adaptive clustering and learning strategy is developed in order to allow agents to learn which neighbors should be trusted and which other neighbors should be ignored. The resulting procedure enables agents to identify their grouping and to attain improved learning performance.
Network Models in Economics and Finance
Using network models to investigate the interconnectivity in modern economic systems allows researchers to better understand and explain some economic phenomena. This volume presents contributions by known experts and active researchers in economic and financial network modeling. Readers are provided with an understanding of the latest advances in network analysis as applied to economics, finance, corporate governance, and investments. Moreover, recent advances in market network analysis that focus on influential techniques for market graph analysis are also examined. Young researchers will find this volume particularly useful in facilitating their introduction to this new and fascinating field. Professionals in economics, financial management, various technologies, and network analysis, will find the network models presented in this book beneficial in analyzing the interconnectivity in modern economic systems.
Advanced Information Networking and Applications
Networks of today are going through a rapid evolution and there are many emerging areas of information networking and their applications. Heterogeneous networking supported by recent technological advances in low power wireless communications along with silicon integration of various functionalities such as sensing, communications, intelligence and actuations are emerging as a critically important disruptive computer class based on a new platform, networking structure and interface that enable novel, low-cost and high-volume applications. Several of such applications have been difficult to realize because of many interconnection problems. To fulfill their large range of applications different kinds of networks need to collaborate and wired and next generation wireless systems should be integrated in order to develop high performance computing solutions to problems arising from the complexities of these networks. This volume covers the theory, design and applications of computer networks, distributed computing and information systems. The aim of the volume “Advanced Information Networking and Applications” is to provide latest research findings, innovative research results, methods and development techniques from both theoretical and practical perspectives related to the emerging areas of information networking and applications.