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Review

2017

Review

2017

This paper surveys quantum learning theory: the theoretical aspects of machine learning using quantum computers. We describe the… Expand

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Highly Cited

2014

Highly Cited

2014

We show that AC^0 circuits on n variables with depth d and size m have at most 2^{-Omega(k/log^{d-1} m)} of their Fourier mass at… Expand

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Highly Cited

2010

Highly Cited

2010

The sign-rank of a matrix $A=[A_{ij}]$ with $\pm1$ entries is the least rank of a real matrix $B=[B_{ij}]$ with $A_{ij}B_{ij}>0… Expand

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2010

2010

We propose a new approach to the notion of recognition, which departs from the classical definitions by three specific features… Expand

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Highly Cited

2009

Highly Cited

2009

The recently introduced series of description logics under the common moniker 'DL-Lite' has attracted attention of the… Expand

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Highly Cited

2009

Highly Cited

2009

We prove that poly-sized AC^0 circuits cannot distinguish a poly-logarithmically independent distribution from the uniform one… Expand

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Highly Cited

2007

Highly Cited

2007

We prove that AC<sup>0</sup> cannot be efficiently simulated by MAJºMAJ circuits. Namely, we construct an AC<sup>0</sup> circuit… Expand

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Highly Cited

2005

Highly Cited

2005

We investigate the possibility of obfuscating point functions in the framework of Barak et al. from Crypto '01. A point function… Expand

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Highly Cited

1996

Highly Cited

1996

Priority queues are some of the most fundamental data structures. For example, they are used directly for task scheduling in… Expand

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Highly Cited

1985

Highly Cited

1985

We explicitly construct, for every integer n and ε ≫ 0, a family of functions (psuedo-random bit generators) fn,ε:{0,1}nε → {0,1… Expand

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