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» Optimization of Convex Risk Functions
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MOR
2006
93views more  MOR 2006»
13 years 5 months ago
Optimization of Convex Risk Functions
We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we d...
Andrzej Ruszczynski, Alexander Shapiro
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 5 months ago
Estimating divergence functionals and the likelihood ratio by convex risk minimization
We develop and analyze M-estimation methods for divergence functionals and the likelihood ratios of two probability distributions. Our method is based on a non-asymptotic variatio...
XuanLong Nguyen, Martin J. Wainwright, Michael I. ...
ML
2007
ACM
127views Machine Learning» more  ML 2007»
13 years 4 months ago
Density estimation with stagewise optimization of the empirical risk
We consider multivariate density estimation with identically distributed observations. We study a density estimator which is a convex combination of functions in a dictionary and ...
Jussi Klemelä
NIPS
2008
13 years 6 months ago
On the Generalization Ability of Online Strongly Convex Programming Algorithms
This paper examines the generalization properties of online convex programming algorithms when the loss function is Lipschitz and strongly convex. Our main result is a sharp bound...
Sham M. Kakade, Ambuj Tewari
KDD
2007
ACM
132views Data Mining» more  KDD 2007»
14 years 5 months ago
A scalable modular convex solver for regularized risk minimization
A wide variety of machine learning problems can be described as minimizing a regularized risk functional, with different algorithms using different notions of risk and different r...
Choon Hui Teo, Alex J. Smola, S. V. N. Vishwanatha...