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» On the Theory of Average Case Complexity
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CORR
2004
Springer
90views Education» more  CORR 2004»
14 years 11 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
TCS
2011
14 years 6 months ago
Optimizing n-variate (n+k)-nomials for small k
We give a high precision polynomial-time approximation scheme for the supremum of any honest n-variate (n + 2)-nomial with a constant term, allowing real exponents as well as real...
Philippe P. Pébay, J. Maurice Rojas, David ...
COMPGEOM
2011
ACM
14 years 3 months ago
Compressive sensing with local geometric features
We propose a framework for compressive sensing of images with local geometric features. Specifically, let x ∈ RN be an N-pixel image, where each pixel p has value xp. The image...
Rishi Gupta, Piotr Indyk, Eric Price, Yaron Rachli...
SIGECOM
2009
ACM
100views ECommerce» more  SIGECOM 2009»
15 years 6 months ago
The price of uncertainty
We study the degree to which small fluctuations in costs in wellstudied potential games can impact the result of natural best-response and improved-response dynamics. We call thi...
Maria-Florina Balcan, Avrim Blum, Yishay Mansour
STOC
2000
ACM
174views Algorithms» more  STOC 2000»
15 years 4 months ago
Noise-tolerant learning, the parity problem, and the statistical query model
We describe a slightly subexponential time algorithm for learning parity functions in the presence of random classification noise, a problem closely related to several cryptograph...
Avrim Blum, Adam Kalai, Hal Wasserman