Search Results - Infinite-dimensional Parametric Programming*

Convex Parametric Programming in Abstract Spaces by Asgharian, M., Zlobec, S.

“…This article studies stability and optimality for convex parametric programming models in abstract spaces…”
Get full text

Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs by Dinh, N., Mordukhovich, B., Nghia, T. T. A.

“…The paper concerns the study of new classes of parametric optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision variables…”
Get full text

Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions by Cánovas, M. J., López, M. A., Mordukhovich, B. S., Parra, J.

“…This paper concerns applications of advanced techniques of variational analysis and generalized differentiation to parametric problems of semi-infinite and infinite programming, where decision…”
Get full text

Duality gap function in infinite dimensional linear programming by Vinh, N.T., Kim, D.S., Tam, N.N., Yen, N.D.

“…The concept of duality gap function in infinite dimensional linear programming is considered in this paper…”
Get full text

Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems by Khanh, Pham Duy, Mo, Tran Hong, Tran, Trinh T. T.

“…Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article…”
Get full text

INTERSECTION BOUNDS: ESTIMATION AND INFERENCE by Chernozhukov, Victor, Lee, Sokbae, Rosen, Adam M.

“…We develop a practical and novel method for inference on intersection bounds, namely bounds defined by either the infimum or supremum of a parametric or nonparametric function, or, equivalently…”
Get full text

Robust continuous linear programs by Ghate, Archis

“…Continuous linear programs (CLPs) arise in applications such as production/economic planning, continuous-time network flow problems, fluid relaxations of…”
Get full text

Continuous-Time Generalized Fractional Programming Problems. Part I: Basic Theory by Wen, Ching-Feng

“… The parametric method for finite-dimensional generalized fractional programming is extended to problems posed in function spaces…”
Get full text

Continuous-Time Generalized Fractional Programming Problems, Part II: An Interval-Type Computational Procedure by Wen, Ching-Feng

“…The theory presented in Part I (Wen in J. Optim. Theory Appl. 2012) of this study led to a theoretical parametric procedure for continuous-time generalized fractional programming problems. In this paper (Part II…”
Get full text

Optimization and equilibrium problems with equilibrium constraints in infinite-dimensional spaces by Mordukhovich, Boris S.

“…The article is devoted to applications of modern variational analysis to the study of constrained optimization and equilibrium problems in infinite-dimensional spaces…”
Get full text

Multivariate, heteroscedastic empirical Bayes via nonparametric maximum likelihood by Soloff, Jake A, Guntuboyina, Adityanand, Sen, Bodhisattva

“… NPMLEs estimate an arbitrary prior by solving an infinite-dimensional, convex optimization problem…”
Get full text

Adaptive estimation of continuous-time regression models using high-frequency data by Li, Jia, Todorov, Viktor, Tauchen, George

“… We further construct an estimator from high-frequency data that achieves this efficiency bound and, indeed, is adaptive to the presence of infinite-dimensional nuisance components…”
Get full text

Coderivative Analysis of Variational Systems by Mordukhovich, Boris S.

“…The paper mostly concerns applications of the generalized differentiation theory in variational analysis to Lipschitzian stability and metric regularity of variational systems in infinite-dimensional spaces…”
Get full text

Distributionally Safe Reinforcement Learning under Model Uncertainty: A Single-Level Approach by Differentiable Convex Programming by Chriat, Alaa Eddine, Sun, Chuangchuang

“… To improve the tractability, we first use duality theory to transform the lower-level optimization from infinite-dimensional probability space where distributional shift is measured, to a finite…”
Get full text

Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs by Mordukhovich, B., Nghia, T. T. A.

“…The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision…”
Get full text

On Some Properties of Parametric Quadratic Programs Pertaining to Continuous-time Quadratic Fractional Programming by Ching-Feng Wen, Yung-Yih Lur, Wen-Hsien Ho, Jyh-Horng Chou

“… Such problems are called the {\em continuous-time quadratic fractional programming problems} (CQFP). Some basic properties of parametric continuous-time quadratic programming problems pertaining…”
Get full text

Differential Stability of Convex Optimization Problems with Possibly Empty Solution Sets by An, Duong Thi Viet, Yao, Jen-Chih

“…This paper studies differential stability of infinite-dimensional convex optimization problems, whose solution sets may be empty…”
Get full text

A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws by Cardoen, Clément, Marx, Swann, Nouy, Anthony, Seguin, Nicolas

“…) solutions, satisfying linear equations in the space of Borel measures. The infinite-dimensional linear problem is approximated by a hierarchy of convex, finite-dimensional, semidefinite programming problems, called Lasserre’s hierarchy…”
Get full text

Bisimulation Metrics for Continuous Markov Decision Processes by Ferns, Norm, Panangaden, Prakash, Precup, Doina

“…In recent years, various metrics have been developed for measuring the behavioral similarity of states in probabilistic transition systems [J. Desharnais et…”
Get full text

On the interplay between interior point approximation and parametric sensitivities in optimal control by Griesse, Roland, Weiser, Martin

“…Infinite-dimensional parameter-dependent optimization problems of the form ‘ min J ( u ; p ) subject to g ( u ) ⩾ 0 ’ are studied, where u is sought in an L…”
Get full text