Coordination Capacity
We develop elements of a theory of cooperation and coordination in networks. Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communicatio...
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Veröffentlicht in: | IEEE transactions on information theory 2010-09, Vol.56 (9), p.4181-4206 |
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creator | Cuff, P W Permuter, H H Cover, T M |
description | We develop elements of a theory of cooperation and coordination in networks. Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communication constraints. Specifically, in a network with communication rates {R i ,j} between the nodes, we ask what is the set of all achievable joint distributions p(x 1 , ..., xm) of actions at the nodes of the network. Several networks are solved, including arbitrarily large cascade networks. Distributed cooperation can be the solution to many problems such as distributed games, distributed control, and establishing mutual information bounds on the influence of one part of a physical system on another. |
doi_str_mv | 10.1109/TIT.2010.2054651 |
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Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communication constraints. Specifically, in a network with communication rates {R i ,j} between the nodes, we ask what is the set of all achievable joint distributions p(x 1 , ..., xm) of actions at the nodes of the network. Several networks are solved, including arbitrarily large cascade networks. 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Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communication constraints. Specifically, in a network with communication rates {R i ,j} between the nodes, we ask what is the set of all achievable joint distributions p(x 1 , ..., xm) of actions at the nodes of the network. Several networks are solved, including arbitrarily large cascade networks. Distributed cooperation can be the solution to many problems such as distributed games, distributed control, and establishing mutual information bounds on the influence of one part of a physical system on another.</description><subject>Applied sciences</subject><subject>Coding, codes</subject><subject>Common randomness</subject><subject>Communication networks</subject><subject>Communications networks</subject><subject>Computer networks</subject><subject>Computer science</subject><subject>cooperation capacity</subject><subject>coordination capacity</subject><subject>Distributed computing</subject><subject>Distributed control</subject><subject>Exact sciences and technology</subject><subject>Information technology</subject><subject>Information theory</subject><subject>Information, signal and communications theory</subject><subject>Mutual information</subject><subject>Network coding</subject><subject>network dependence</subject><subject>Probability distribution</subject><subject>Random processes</subject><subject>Rate-distortion</subject><subject>Signal and communications theory</subject><subject>Source coding</subject><subject>strong Markov lemma</subject><subject>Systems, networks and services of telecommunications</subject><subject>task assignment</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Transmission and modulation (techniques and equipments)</subject><subject>Wyner common information</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9j81LAzEQxYMoWFePguBFBI9b8zX5OMriR6HgZT2H7DSBLXW3JttD_3tTWnoYhse894YfIQ-Mzhmj9rVdtHNOi-IUpAJ2QWYMQNdWgbwkM0qZqa2U5prc5LwuUgLjM3LfjGNa9YOf-nF4avzWYz_tb8lV9Jsc7k67Ij8f723zVS-_PxfN27JGofRUMxlXFFQEDIg0BgVcSemlMB160QXDLERF0TMMwlsjvdKmA0TDKBqOoiLPx95tGv92IU9uPe7SUF46LbUFY7koJno0YRpzTiG6bep_fdo7Rt2B3RV2d2B3J_YSeTn1-ox-E5MfsM_nHBdMCihTkcejrw8hnM8AQLnW4h9ZF2AL</recordid><startdate>20100901</startdate><enddate>20100901</enddate><creator>Cuff, P W</creator><creator>Permuter, H H</creator><creator>Cover, T M</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communication constraints. Specifically, in a network with communication rates {R i ,j} between the nodes, we ask what is the set of all achievable joint distributions p(x 1 , ..., xm) of actions at the nodes of the network. Several networks are solved, including arbitrarily large cascade networks. Distributed cooperation can be the solution to many problems such as distributed games, distributed control, and establishing mutual information bounds on the influence of one part of a physical system on another.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TIT.2010.2054651</doi><tpages>26</tpages></addata></record> |
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subjects | Applied sciences Coding, codes Common randomness Communication networks Communications networks Computer networks Computer science cooperation capacity coordination capacity Distributed computing Distributed control Exact sciences and technology Information technology Information theory Information, signal and communications theory Mutual information Network coding network dependence Probability distribution Random processes Rate-distortion Signal and communications theory Source coding strong Markov lemma Systems, networks and services of telecommunications task assignment Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Wyner common information |
title | Coordination Capacity |
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