Robust conjugate duality for convex optimization under uncertainty with application to data classification
DOI10.1016/j.na.2010.11.036zbMath1233.90231OpenAlexW2114397143WikidataQ59241550 ScholiaQ59241550MaRDI QIDQ631700
Guoyin Li, Vaithilingam Jeyakumar, Gue Myung Lee
Publication date: 14 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.11.036
support vector machinesstrong dualityconjugate duality under uncertaintypartially finite convex programsrobust convex optimizationrobust Fenchel duality
Semidefinite programming (90C22) Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46)
Related Items (36)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust linear optimization under general norms.
- Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs
- Complete characterizations of stable Farkas' lemma and cone-convex programming duality
- Characterizing robust set containments and solutions of uncertain linear programs without qualifications
- Simultaneous classification and feature selection via convex quadratic programming with application to HIV-associated neurocognitive disorder assessment
- Stochastic programming approach to optimization under uncertainty
- Selected topics in robust convex optimization
- Duality in robust optimization: Primal worst equals dual best
- Conjugate duality in convex optimization
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- Robust optimization-methodology and applications
- Constraint qualifications characterizing Lagrangian duality in convex optimization
- Qualification and optimality conditions for dc programs with infinite constraints
- New constraint qualification and conjugate duality for composed convex optimization problems
- The strong conical hull intersection property for convex programming
- Necessary and sufficient conditions for stable conjugate duality
- A new geometric condition for Fenchel's duality in infinite dimensional spaces
- Strong Duality in Robust Convex Programming: Complete Characterizations
- Constructing Uncertainty Sets for Robust Linear Optimization
- Closedness conditions for the optimality of a family of non-convex optimization problems
- On Extension of Fenchel Duality and its Application
- Knowledge-based semidefinite linear programming classifiers
- Stable and Total Fenchel Duality for Convex Optimization Problems in Locally Convex Spaces
- Regularity Conditions via Quasi-Relative Interior in Convex Programming
- Lectures on Stochastic Programming
- 10.1162/15324430152748218
- New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs
This page was built for publication: Robust conjugate duality for convex optimization under uncertainty with application to data classification