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Content Provider | IEEE Xplore Digital Library |
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Author | Eksin, C. Ribeiro, A. |
Copyright Year | 1991 |
Abstract | A network of distributed agents wants to minimize a global cost given by a sum of local terms involving nonlinear convex functions of self and neighboring variables. Agents update their variables at random times by observing the values of neighboring agents and applying a random heuristic rule intent on minimizing the local cost with respect to their own variables. The heuristic rules are rational in that their average result is the actual optimal action with respect to the given values of neighboring variables. By identifying heuristic rational optimization with stochastic coordinate descent, it is shown that all agents visit a neighborhood of the optimal cost infinitely often with probability 1. An exponential probability bound on the worst deviation from optimality between visits to near optimal operating points is also derived. Commonly used models of consensus and opinion propagation in social networks, Markov random field estimation in wireless sensor networks, and cohesive foraging of animal herds are cast in the language of heuristic rational optimization. Numerical simulations for these three examples are presented to corroborate analytical results. |
Sponsorship | IEEE Signal Processing Society |
Starting Page | 5396 |
Ending Page | 5411 |
Page Count | 16 |
File Size | 4493109 |
File Format | |
ISSN | 1053587X |
Volume Number | 60 |
Issue Number | 10 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2012-10-01 |
Publisher Place | U.S.A. |
Access Restriction | One Nation One Subscription (ONOS) |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Optimization Social network services Birds Wireless sensor networks Biological system modeling Modeling Estimation social networks Biological systems convergence distributed estimation distributed optimization |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering |
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