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ECCC
2007
86views more  ECCC 2007»
13 years 11 months ago
Testing Halfspaces
This paper addresses the problem of testing whether a Boolean-valued function f is a halfspace, i.e. a function of the form f(x) = sgn(w·x−θ). We consider halfspaces over the ...
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
ECCC
2007
91views more  ECCC 2007»
13 years 11 months ago
Which Languages Have 4-Round Zero-Knowledge Proofs?
We show that if a language L has a 4-round, black-box, computational zero-knowledge proof system with negligible soundness error, then ¯L ∈ MA. Assuming the polynomial hierarch...
Jonathan Katz
ECCC
2007
91views more  ECCC 2007»
13 years 11 months ago
Testing Expansion in Bounded Degree Graphs
Satyen Kale, C. Seshadhri
ECCC
2007
71views more  ECCC 2007»
13 years 11 months ago
Inverse Conjecture for the Gowers norm is false
Let p be a fixed prime number, and N be a large integer. The ’Inverse Conjecture for the Gowers norm’ states that if the ”d-th Gowers norm” of a function f : FN p → F i...
Shachar Lovett, Roy Meshulam, Alex Samorodnitsky
ECCC
2007
88views more  ECCC 2007»
13 years 11 months ago
Combinatorial Construction of Locally Testable Codes
An error correcting code is said to be locally testable if there is a test that checks whether a given string is a codeword, or rather far from the code, by reading only a constan...
Or Meir
ECCC
2007
86views more  ECCC 2007»
13 years 11 months ago
Interactive PCP
A central line of research in the area of PCPs is devoted to constructing short PCPs. In this paper, we show that if we allow an additional interactive verification phase, with v...
Yael Tauman Kalai, Ran Raz
ECCC
2007
144views more  ECCC 2007»
13 years 11 months ago
Algebraic Lower Bounds for Computing on Encrypted Data
In cryptography, there has been tremendous success in building primitives out of homomorphic semantically-secure encryption schemes, using homomorphic properties in a blackbox way...
Rafail Ostrovsky, William E. Skeith III
ECCC
2007
180views more  ECCC 2007»
13 years 11 months ago
Adaptive Algorithms for Online Decision Problems
We study the notion of learning in an oblivious changing environment. Existing online learning algorithms which minimize regret are shown to converge to the average of all locally...
Elad Hazan, C. Seshadhri
ECCC
2007
51views more  ECCC 2007»
13 years 11 months ago
The Myth of the Folk Theorem
Christian Borgs, Jennifer T. Chayes, Nicole Immorl...