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» Agnostically Learning Halfspaces
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FOCS
2009
IEEE
14 years 11 months ago
Learning and Smoothed Analysis
We give a new model of learning motivated by smoothed analysis (Spielman and Teng, 2001). In this model, we analyze two new algorithms, for PAC-learning DNFs and agnostically learn...
Adam Tauman Kalai, Alex Samorodnitsky, Shang-Hua T...
118
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COLT
2007
Springer
15 years 5 months ago
An Efficient Re-scaled Perceptron Algorithm for Conic Systems
Abstract. The classical perceptron algorithm is an elementary algorithm for solving a homogeneous linear inequality system Ax > 0, with many important applications in learning t...
Alexandre Belloni, Robert M. Freund, Santosh Vempa...
FOCS
2008
IEEE
15 years 8 months ago
What Can We Learn Privately?
Learning problems form an important category of computational tasks that generalizes many of the computations researchers apply to large real-life data sets. We ask: what concept ...
Shiva Prasad Kasiviswanathan, Homin K. Lee, Kobbi ...
COLT
2010
Springer
14 years 12 months ago
Mansour's Conjecture is True for Random DNF Formulas
In 1994, Y. Mansour conjectured that for every DNF formula on n variables with t terms there exists a polynomial p with tO(log(1/)) non-zero coefficients such that Ex{0,1}n [(p(x)...
Adam R. Klivans, Homin K. Lee, Andrew Wan
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
16 years 2 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio