All reports by Author Ran Gelles:

__
TR17-095
| 26th May 2017
__

Ran Gelles, Yael Tauman Kalai#### Constant-Rate Interactive Coding Is Impossible, Even In Constant-Degree Networks

__
TR16-166
| 1st November 2016
__

Mark Braverman, Ran Gelles, Michael A. Yitayew#### Optimal Resilience for Short-Circuit Noise in Formulas

Revisions: 1

__
TR15-197
| 7th December 2015
__

Mark Braverman, Klim Efremenko, Ran Gelles, Bernhard Haeupler#### Constant-rate coding for multiparty interactive communication is impossible

__
TR15-165
| 14th October 2015
__

Ran Gelles, Bernhard Haeupler, Gillat Kol, Noga Ron-Zewi, Avi Wigderson#### Towards Optimal Deterministic Coding for Interactive Communication

Revisions: 1

__
TR15-014
| 18th January 2015
__

Noga Alon, Mark Braverman, Klim Efremenko, Ran Gelles, Bernhard Haeupler#### Reliable Communication over Highly Connected Noisy Networks

__
TR12-104
| 8th August 2012
__

Matthew Franklin, Ran Gelles, Rafail Ostrovsky, Leonard Schulman#### Optimal Coding for Streaming Authentication and Interactive Communication

Revisions: 1

Ran Gelles, Yael Tauman Kalai

Multiparty interactive coding allows a network of $n$ parties to perform distributed computations when the communication channels suffer from noise. Previous results (Rajagopalan and Schulman, STOC '94) obtained a multiparty interactive coding protocol, resilient to random noise, with a blowup of $O(\log(\Delta+1))$ for networks whose topology has a maximal degree ... more >>>

Mark Braverman, Ran Gelles, Michael A. Yitayew

We show an efficient method for converting a logic circuit of gates with fan-out 1 into an equivalent circuit that works even if some fraction of its gates are short-circuited, i.e., their output is short-circuited to one of their inputs. Our conversion can be applied to any circuit with fan-in ... more >>>

Mark Braverman, Klim Efremenko, Ran Gelles, Bernhard Haeupler

We study coding schemes for multiparty interactive communication over synchronous networks that suffer from stochastic noise, where each bit is independently flipped with probability $\epsilon$. We analyze the minimal overhead that must be added by the coding scheme in order to succeed in performing the computation despite the noise.

Our ... more >>>

Ran Gelles, Bernhard Haeupler, Gillat Kol, Noga Ron-Zewi, Avi Wigderson

We study \emph{efficient, deterministic} interactive coding schemes that simulate any interactive protocol both under random and adversarial errors, and can achieve a constant communication rate independent of the protocol length.

For channels that flip bits independently with probability~$\epsilon<1/2$, our coding scheme achieves a communication rate of $1 - O(\sqrt{H({\epsilon})})$ and ... more >>>

Noga Alon, Mark Braverman, Klim Efremenko, Ran Gelles, Bernhard Haeupler

We consider the task of multiparty computation performed over networks in

the presence of random noise. Given an $n$-party protocol that takes $R$

rounds assuming noiseless communication, the goal is to find a coding

scheme that takes $R'$ rounds and computes the same function with high

probability even when the ...
more >>>

Matthew Franklin, Ran Gelles, Rafail Ostrovsky, Leonard Schulman

Error correction and message authentication are well studied in the literature, and various efficient solutions have been suggested and analyzed. This is however not the case for data streams in which the message is very long, possibly infinite, and not known in advance to the sender. Trivial solutions for error-correcting ... more >>>