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CAREER:Variational Inequalities: A New Paradigm for Cognitive Network Layering

职业：变分不等式：认知网络分层的新范式

基本信息

批准号：
1555850
负责人：
Gesualdo Scutari
金额：
$ 29.13万
依托单位：
Purdue University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2015
资助国家：
美国
起止时间：
2015-08-15 至 2019-01-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1555850&HistoricalAwards=false
关键词：
CAREER Variational Inequalities New Paradigm

项目摘要

Objective. The goal of this project is to progress towards a systematic and better understanding of distributed cognitive layering and consequent network architecture decompositions, based on the advanced theory of Variational Inequalities. The ultimate objective is developing a new methodology to formulate, study, and solve in a distributed way generic cross-layer designs of cognitive ad-hoc networks (including the optimization of the sensing process), building on a novel framework that collectively is termed hierarchical Variational Inequalities. Intellectual Merit. The theory of Variational Inequalities provides a broad mathematical framework for a host of formulations of practical interest, such as classical nonlinear optimization, equilibrium, and game-theoretic problems. The proposed hierarchical Variational Inequality problem offers thus a constructive and powerful platform to investigate several novel cross-layer designs, and provides an alternative and promising direction to deal with the fundamental issues of traditional NUM designs.Broader Impact. Success in the proposed research effort has the potential to change how to teach and design cognitive wireless networks. This research will enable efficient, rigorous, and cost-effective new approaches for the design of complex networks, which will represent a shift from current heuristic based approaches. Moreover, bringing for the first time Variational Inequalities in engineering disciplines, the project will promote cross-fertilization among different research fields, such as signal processing, optimization, game and decision theory, and networking, offering to researchers in these communities a constructive and powerful platform for fruitful developments. The research project is well rounded by a complementary educational program that targets both undergraduate and graduate students.

客观的。该项目的目标是基于先进的变分不等式理论，进一步系统地、更好地理解分布式认知分层和随后的网络架构分解。最终目标是开发一种新的方法，以分布式方式制定、研究和解决认知自组织网络的通用跨层设计（包括感知过程的优化），建立在统称为分层变分不等式的新颖框架之上。智力优点。变分不等式理论为许多具有实际意义的公式提供了广泛的数学框架，例如经典的非线性优化、均衡和博弈论问题。因此，所提出的分层变分不等式问题为研究几种新颖的跨层设计提供了一个建设性且强大的平台，并为处理传统 NUM 设计的基本问题提供了一个替代且有前途的方向。更广泛的影响。拟议研究工作的成功有可能改变认知无线网络的教学和设计方式。这项研究将为复杂网络的设计提供高效、严格且具有成本效益的新方法，这将代表当前基于启发式方法的转变。此外，该项目首次将变分不等式引入工程学科，将促进信号处理、优化、博弈与决策理论、网络等不同研究领域之间的交叉融合，为这些领域的研究人员提供一个建设性的、强大的平台，以取得富有成果的发展。该研究项目通过针对本科生和研究生的补充教育计划得到了完善。