[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Bome! bilevel optimization made easy: A simple first-order approach
Bilevel optimization (BO) is useful for solving a variety of important machine learning
problems including but not limited to hyperparameter optimization, meta-learning, continual …
problems including but not limited to hyperparameter optimization, meta-learning, continual …
Bilevel optimization: theory, algorithms, applications and a bibliography
S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …
region of the so-called upper level problem is restricted by the graph of the solution set …
[图书][B] Conjugate duality in convex optimization
RI Bot - 2009 - books.google.com
The results presented in this book originate from the last decade research work of the author
in the? eld of duality theory in convex optimization. The reputation of duality in the …
in the? eld of duality theory in convex optimization. The reputation of duality in the …
The bilevel programming problem: reformulations, constraint qualifications and optimality conditions
S Dempe, AB Zemkoho - Mathematical Programming, 2013 - Springer
We consider the bilevel programming problem and its optimal value and KKT one level
reformulations. The two reformulations are studied in a unified manner and compared in …
reformulations. The two reformulations are studied in a unified manner and compared in …
[图书][B] Bilevel optimization: theory, algorithms and applications
S Dempe - 2018 - optimization-online.org
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …
region of the so-called upper level problem is restricted by the graph of the solution set …
Weak sharp minima on Riemannian manifolds
C Li, BS Mordukhovich, J Wang, JC Yao - SIAM Journal on Optimization, 2011 - SIAM
This is the first paper dealing with the study of weak sharp minima for constrained
optimization problems on Riemannian manifolds, which are important in many applications …
optimization problems on Riemannian manifolds, which are important in many applications …
[图书][B] Optimality conditions in convex optimization: a finite-dimensional view
Covering the current state of the art, this book explores an important and central issue in
convex optimization: optimality conditions. Although many results presented in the chapters …
convex optimization: optimality conditions. Although many results presented in the chapters …
Farkas' lemma: three decades of generalizations for mathematical optimization
N Dinh, V Jeyakumar - Top, 2014 - Springer
In this paper we present a survey of generalizations of the celebrated Farkas's lemma,
starting from systems of linear inequalities to a broad variety of non-linear systems. We focus …
starting from systems of linear inequalities to a broad variety of non-linear systems. We focus …
Sensitivity analysis for two-level value functions with applications to bilevel programming
This paper contributes to a deeper understanding of the link between a now conventional
framework in hierarchical optimization called the optimistic bilevel problem and its initial …
framework in hierarchical optimization called the optimistic bilevel problem and its initial …