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Zero error coordination

Abroshan, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1109/ITWF.2015.7360763
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2015
  4. Abstract:
  5. In this paper, we consider a zero error coordination problem wherein the nodes of a network exchange messages to be able to perfectly coordinate their actions with the individual observations of each other. While previous works on coordination commonly assume an asymptotically vanishing error, we assume exact, zero error coordination. Furthermore, unlike previous works that employ the empirical or strong notions of coordination, we define and use a notion of set coordination. This notion of coordination bears similarities with the empirical notion of coordination. We observe that set coordination, in its special case of two nodes with a one-way communication link is equivalent with the Hide and Seek source coding problem of McEliece and Posner. The Hide and Seek problem has known intimate connections with graph entropy, rate distortion theory, Rényi mutual information and even error exponents. Other special cases of the set coordination problem relate to Witsenhausen's zero error rate and the distributed computation problem. These connections motivate a better understanding of set coordination, its connections with empirical coordination, and its study in more general setups. This paper takes a first step in this direction by proving new results for two node networks, including capacity characterizations for the linear case
  6. Keywords:
  7. Computation theory ; Electric distortion ; Image coding ; Information theory ; Signal distortion ; Coordination problems ; Distributed computations ; Empirical coordinations ; Error exponent ; Graph entropy ; Mutual informations ; Rate distortion-theory ; Two-node network ; Errors
  8. Source: ITW 2015 - 2015 IEEE Information Theory Workshop, 11 October 2015 through 15 October 2015 ; 2015 , Pages 202-206 ; 9781467378529 (ISBN)
  9. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7360763