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Electronic Colloquium on Computational Complexity

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TR21-181 | 30th December 2021
Oded Goldreich

The KW Games as a Teaser

This is a purely pedagogical text.
We advocate using KW-games as a teaser (or ``riddle'') for a complexity theoretic course.
In particular, stating the KW-game for a familiar NP-complete problem such as 3-Colorability and asking to prove that it requires more than polylogarithmic communication poses a seemingly tractable question ... more >>>


TR21-180 | 21st December 2021
Noga Ron-Zewi, Ron Rothblum

Proving as Fast as Computing: Succinct Arguments with Constant Prover Overhead

Succinct arguments are proof systems that allow a powerful, but untrusted, prover to convince a weak verifier that an input $x$ belongs to a language $L \in NP$, with communication that is much shorter than the $NP$ witness. Such arguments, which grew out of the theory literature, are now drawing ... more >>>


TR21-179 | 8th December 2021
tatsuie tsukiji

Smoothed Complexity of Learning Disjunctive Normal Forms, Inverting Fourier Transforms, and Verifying Small Circuits

Comments: 1

This paper aims to derandomize the following problems in the smoothed analysis of Spielman and Teng. Learn Disjunctive Normal Form (DNF), invert Fourier Transforms (FT), and verify small circuits' unsatisfiability. Learning algorithms must predict a future observation from the only $m$ i.i.d. samples of a fixed but unknown joint-distribution $P(G(x),y)$ ... more >>>



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