How much adversarial noise can protocols for interactive communication tolerate? This question was examined by Braverman and Rao (IEEE Trans. Inf. Theory, 2014) for the case of 'robust' protocols, where each party sends messages only in fixed and predetermined rounds. We consider a new class of protocols for interactive communication, which we call adaptive protocols. Such protocols adapt structurally to the noise induced by the channel in the sense that both the order of speaking, and the length of the protocol may vary depending on observed noise. We define models that capture adaptive protocols and study upper and lower bounds on the permissible noise rate in these models. When the length of the protocol may adaptively change according to the noise, we demonstrate a protocol that tolerates noise rates up to 1/3. When the order of speaking may adaptively change as well, we demonstrate a protocol that tolerates noise rates up to 2/3. Hence, adaptivity circumvents an impossibility result of 1/4 on the fraction of tolerable noise (Braverman and Rao, 2014).
|Title of host publication||Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||5|
|State||Published - 10 Aug 2016|
|Event||2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain|
Duration: 10 Jul 2016 → 15 Jul 2016
|Name||IEEE International Symposium on Information Theory - Proceedings|
|Conference||2016 IEEE International Symposium on Information Theory, ISIT 2016|
|Period||10/07/16 → 15/07/16|
Bibliographical noteFunding Information:
Research supported in part from a DARPA/ONR PROCEED award, NSF Frontier Award 1413955, NSF grants 1228984, 1136174, 1118096, and 1065276, a Xerox Faculty Research Award, a Google Faculty Research Award, an equipment grant from Intel, and an Okawa Foundation Research Grant. This material is based upon work supported by the Defense Advanced Research Projects Agency through the U.S. Office of Naval Research under Contract N00014-11-1-0389. The views expressed are those of the author and do not reflect the official policy or position of the Department of Defense, the National Science Foundation, or the U.S. Government
© 2016 IEEE.