ECCC-Report TR12-179https://eccc.weizmann.ac.il/report/2012/179Comments and Revisions published for TR12-179en-usMon, 01 Jul 2013 18:00:07 +0300
Revision 2
| Towards a Reverse Newman's Theorem in Interactive Information Complexity |
Joshua Brody,
Harry Buhrman,
Michal Koucky,
Bruno Loff,
Florian Speelman,
Nikolay Vereshchagin
https://eccc.weizmann.ac.il/report/2012/179#revision2Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?
We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.Mon, 01 Jul 2013 18:00:07 +0300https://eccc.weizmann.ac.il/report/2012/179#revision2
Revision 1
| Towards a Reverse Newman's Theorem in Interactive Information Complexity |
Joshua Brody,
Harry Buhrman,
Michal Koucky,
Bruno Loff,
Florian Speelman,
Nikolay Vereshchagin
https://eccc.weizmann.ac.il/report/2012/179#revision1Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?
We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.Mon, 01 Jul 2013 17:47:15 +0300https://eccc.weizmann.ac.il/report/2012/179#revision1
Paper TR12-179
| Towards a Reverse Newman's Theorem in Interactive Information Complexity |
Joshua Brody,
Harry Buhrman,
Michal Koucky,
Bruno Loff,
Florian Speelman
https://eccc.weizmann.ac.il/report/2012/179Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?
We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.Fri, 21 Dec 2012 14:25:40 +0200https://eccc.weizmann.ac.il/report/2012/179