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#### What we do and why

The Electronic Colloquium on Computational Complexity is a new forum for the rapid and widespread interchange of ideas, techniques, and research in computational complexity. The purpose of this Colloquium is to use electronic media for scientific communication and discussions in the computational complexity community. The Electronic Colloquium on Computational Complexity (ECCC) welcomes papers, short notes and surveys with
• relevance to the theory of computation,
• clear mathematical profile and
• strictly mathematical format.

#### Central topics

• models of computation and their complexity,
• complexity bounds (with the emphasis on lower bounds).
Specific areas including complexity issues are
• combinatorics,
• communication complexity,
• cryptography,
• combinatorial optimization,
• complexity of learning algorithms,
• logic.

Here are some papers on the idea and concept of electronic colloquia and ECCC.
7th April 2014 13:36

#### ECCC Archive DVD 2013

191 reports have been published on ECCC in 2013. The collection of all these reports is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email < href="mailto:eccc@eccc.hpi-web.de">eccc@eccc.hpi-web.de for ordering.

4th March 2013 09:03

#### ECCC Archive DVD 2012

In 2012 we had a total count of 186 published reports on ECCC. The collection of all the reports from 2012 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email to eccc@eccc.hpi-web.de for ordering.

6th March 2012 12:04

#### ECCC Archive DVD 2011

In 2011 we had a total count of 174 published reports on ECCC. The collection of all the reports from 2011 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email to eccc@eccc.hpi-web.de for ordering.

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TR15-188 | 24th November 2015
Daniel Kane, Ryan Williams

#### Super-Linear Gate and Super-Quadratic Wire Lower Bounds for Depth-Two and Depth-Three Threshold Circuits

In order to formally understand the power of neural computing, we first need to crack the frontier of threshold circuits with two and three layers, a regime that has been surprisingly intractable to analyze. We prove the first super-linear gate lower bounds and the first super-quadratic wire lower bounds for ... more >>>

TR15-187 | 24th November 2015
Nir Bitansky, Vinod Vaikuntanathan

#### A Note on Perfect Correctness by Derandomization

In this note, we show how to transform a large class of erroneous cryptographic schemes into perfectly correct ones. The transformation works for schemes that are correct on every input with probability noticeably larger than half, and are secure under parallel repetition. We assume the existence of one-way functions ... more >>>

TR15-186 | 24th November 2015
Benny Applebaum, Pavel Raykov

#### On the Relationship between Statistical Zero-Knowledge and Statistical Randomized Encodings

\emph{Statistical Zero-knowledge proofs} (Goldwasser, Micali and Rackoff, SICOMP 1989) allow a computationally-unbounded server to convince a computationally-limited client that an input $x$ is in a language $\Pi$ without revealing any additional information about $x$ that the client cannot compute by herself. \emph{Randomized encoding} (RE) of functions (Ishai and Kushilevitz, FOCS ... more >>>

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