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» On the Theory of Average Case Complexity
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CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 7 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
13 years 2 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
12 years 11 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»
14 years 2 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»
14 years 10 days 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