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ECCC
2010
111views more  ECCC 2010»
13 years 11 months ago
Tight Bounds on the Approximability of Almost-satisfiable Horn SAT and Exact Hitting Set}
We study the approximability of two natural Boolean constraint satisfaction problems: Horn satisfiability and exact hitting set. Under the Unique Games conjecture, we prove the fo...
Venkatesan Guruswami, Yuan Zhou
ECCC
2010
99views more  ECCC 2010»
13 years 11 months ago
A Unified Framework for Testing Linear-Invariant Properties
Abstract--There has been a sequence of recent papers devoted to understanding the relation between the testability of properties of Boolean functions and the invariance of the prop...
Arnab Bhattacharyya, Elena Grigorescu, Asaf Shapir...
ECCC
2010
80views more  ECCC 2010»
13 years 11 months ago
Query Complexity in Errorless Hardness Amplification
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
Thomas Watson
ECCC
2010
78views more  ECCC 2010»
13 years 11 months ago
PCPs and the Hardness of Generating Synthetic Data
Assuming the existence of one-way functions, we show that there is no polynomial-time, differentially private algorithm A that takes a database D ({0, 1}d )n and outputs a "...
Jonathan Ullman, Salil P. Vadhan
ECCC
2010
73views more  ECCC 2010»
13 years 11 months ago
Matching Vector Codes
An (r, , )-locally decodable code encodes a k-bit message x to an N-bit codeword C(x), such that for every i [k], the i-th message bit can be recovered with probability 1 - , by ...
Zeev Dvir, Parikshit Gopalan, Sergey Yekhanin
ECCC
2010
131views more  ECCC 2010»
13 years 11 months ago
High-rate codes with sublinear-time decoding
Locally decodable codes are error-correcting codes that admit efficient decoding algorithms; any bit of the original message can be recovered by looking at only a small number of ...
Swastik Kopparty, Shubhangi Saraf, Sergey Yekhanin