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A Generalized Factor Rotation Framework with Customized Regularization. [PDF]

Psychometrika
Wu Y, Liao X, Li Q.
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An optimal design problem with perimeter penalization

Calculus of Variations and Partial Differential Equations, 1993
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AMBROSIO, Luigi, Buttazzo G.
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On necessary optimality conditions and exact penalization for a constrained fractional optimal control problem

Optimal Control Applications and Methods, 2022
AbstractThe purpose of this article is twofold. We first develop the first‐order necessary optimality conditions for a general constrained fractional optimal control problem using calculus of variation. These conditions are of the form of fractional ordinary differential equations which reduce to the conventional Euler–Lagrange equations when the ...
Song Wang, Wen Li, Chongyang Liu
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Penalization techniques in L ∞ optimization problems with unbounded horizon

Annals of Operations Research, 2007
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Aragone, Laura S., González, Roberto L. V., Reyero, Gabriela F.   +2 more
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On the Penalization Approach to Optimal Control Problems

IFAC Proceedings Volumes, 2000
Abstract The Exact Penalization Technique is applied to treat optimal control problems in a system described by ordinary differential equations. The resulting functional is essentially nonsmooth but directionally differentiable (even subdifferentiable). Differential equations are viewed as constraints and are “removed” by introducing an exact penalty
Vladimir F. Demyanov, Franco Giannessi, Vladimir V. Karelin   +2 more
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An optimization algorithm for a penalized knapsack problem

Operations Research Letters, 2006
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A. Ceselli, G. Righini
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Optimal Control Problems and Penalization

2000
The Exact Penalization Technique is applied to treat optimal control problems in a system described by ordinary differential equations. The resulting functional is essentially nonsmooth but directionally differentiable (even subdifferentiable). Differential equations are viewed as constraints and are “removed” by introducing an exact penalty function ...
Vladimir F. Demyanov, Franco Giannessi, Vladimir V. Karelin   +2 more
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Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems

SIAM Journal on Optimization, 1997
Summary: The generalized bilevel programming problem (GBLP) is a bilevel mathematical program where the lower level is a variational inequality. In this paper we prove that if the objective function of a GBLP is uniformly Lipschitz continuous in the lower level decision variable with respect to the upper level decision variable, then using certain ...
Ye, J. J., Zhu, D. L., Zhu, Q. J.
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A modified local quadratic approximation algorithm for penalized optimization problems

Computational Statistics & Data Analysis, 2016
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Sangin Lee, Sunghoon Kwon, Yongdai Kim
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