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COLT
2010
Springer
13 years 5 months ago
Learning to Create is as Hard as Learning to Appreciate
We explore the relationship between a natural notion of unsupervised learning studied by Kearns et al. (STOC '94), which we call here "learning to create" (LTC), an...
David Xiao
COLT
2010
Springer
13 years 5 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
COLT
2010
Springer
13 years 5 months ago
On-line Variance Minimization in O(n2) per Trial?
Elad Hazan, Satyen Kale, Manfred K. Warmuth
COLT
2010
Springer
13 years 5 months ago
Best Arm Identification in Multi-Armed Bandits
We consider the problem of finding the best arm in a stochastic multi-armed bandit game. The regret of a forecaster is here defined by the gap between the mean reward of the optim...
Jean-Yves Audibert, Sébastien Bubeck, R&eac...
COLT
2010
Springer
13 years 5 months ago
Hedging Structured Concepts
We develop an online algorithm called Component Hedge for learning structured concept classes when the loss of a structured concept sums over its components. Example classes inclu...
Wouter M. Koolen, Manfred K. Warmuth, Jyrki Kivine...
COLT
2010
Springer
13 years 5 months ago
Principal Component Analysis with Contaminated Data: The High Dimensional Case
We consider the dimensionality-reduction problem (finding a subspace approximation of observed data) for contaminated data in the high dimensional regime, where the number of obse...
Huan Xu, Constantine Caramanis, Shie Mannor
COLT
2010
Springer
13 years 5 months ago
Characterization of Linkage-based Clustering
Clustering is a central unsupervised learning task with a wide variety of applications. Not surprisingly, there exist many clustering algorithms. However, unlike classification ta...
Margareta Ackerman, Shai Ben-David, David Loker
COLT
2010
Springer
13 years 5 months ago
Ranking with Kernels in Fourier space
Risi Imre Kondor, Marconi S. Barbosa
COLT
2010
Springer
13 years 5 months ago
Learning Rotations with Little Regret
We describe online algorithms for learning a rotation from pairs of unit vectors in Rn . We show that the expected regret of our online algorithm compared to the best fixed rotati...
Elad Hazan, Satyen Kale, Manfred K. Warmuth
COLT
2010
Springer
13 years 5 months ago
Toward Learning Gaussian Mixtures with Arbitrary Separation
In recent years analysis of complexity of learning Gaussian mixture models from sampled data has received significant attention in computational machine learning and theory commun...
Mikhail Belkin, Kaushik Sinha