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» Optimization of Convex Risk Functions
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JMLR
2010
143views more  JMLR 2010»
13 years 4 months ago
A Quasi-Newton Approach to Nonsmooth Convex Optimization Problems in Machine Learning
We extend the well-known BFGS quasi-Newton method and its memory-limited variant LBFGS to the optimization of nonsmooth convex objectives. This is done in a rigorous fashion by ge...
Jin Yu, S. V. N. Vishwanathan, Simon Günter, ...
MP
2006
87views more  MP 2006»
13 years 5 months ago
Convexity and decomposition of mean-risk stochastic programs
Abstract. Traditional stochastic programming is risk neutral in the sense that it is concerned with the optimization of an expectation criterion. A common approach to addressing ri...
Shabbir Ahmed
NIPS
2004
13 years 7 months ago
Optimal Aggregation of Classifiers and Boosting Maps in Functional Magnetic Resonance Imaging
We study a method of optimal data-driven aggregation of classifiers in a convex combination and establish tight upper bounds on its excess risk with respect to a convex loss funct...
Vladimir Koltchinskii, Manel Martínez-Ram&o...
CDC
2008
IEEE
139views Control Systems» more  CDC 2008»
14 years 7 days ago
Iterative Risk Allocation: A new approach to robust Model Predictive Control with a joint chance constraint
Abstract— This paper proposes a novel two-stage optimization method for robust Model Predictive Control (RMPC) with Gaussian disturbance and state estimation error. Since the dis...
Masahiro Ono, Brian C. Williams
MOR
2006
94views more  MOR 2006»
13 years 5 months ago
Conditional Risk Mappings
We introduce an axiomatic definition of a conditional convex risk mapping and we derive its properties. In particular, we prove a representation theorem for conditional risk mappi...
Andrzej Ruszczynski, Alexander Shapiro