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» On the Hardness of Approximate Reasoning
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ECCC
2010
124views more  ECCC 2010»
14 years 12 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
FOCS
2007
IEEE
15 years 6 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket
FOCS
1999
IEEE
15 years 4 months ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
FOCS
2003
IEEE
15 years 5 months ago
Proving Hard-Core Predicates Using List Decoding
We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old res...
Adi Akavia, Shafi Goldwasser, Shmuel Safra
GLOBECOM
2008
IEEE
15 years 6 months ago
Optimal LLR Clipping Levels for Mixed Hard/Soft Output Detection
Abstract—Consider a communications system where the detector generates a mix of hard and soft outputs, which are then fed into a soft-input channel decoder. In such a setting, it...
Ernesto Zimmermann, David L. Milliner, John R. Bar...