Convergence Analysis of Sample Average Approximation of Two-Stage Stochastic Generalized Equations
From MaRDI portal
Publication:4620415
DOI10.1137/17M1162822zbMath1410.90134arXiv1801.03830OpenAlexW2963913584WikidataQ128556947 ScholiaQ128556947MaRDI QIDQ4620415
Hailin Sun, Alexander Shapiro, Xiaojun Chen
Publication date: 8 February 2019
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03830
convergenceexponential ratesample average approximationmonotone multifunctionstwo-stage stochastic generalized equations
Stochastic programming (90C15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Stochastic Variational Inequality Approaches to the Stochastic Generalized Nash Equilibrium with Shared Constraints ⋮ Two-stage stochastic variational inequalities for Cournot-Nash equilibrium with risk-averse players under uncertainty ⋮ Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation ⋮ Quantitative stability of two-stage stochastic linear variational inequality problems with fixed recourse ⋮ General Feasibility Bounds for Sample Average Approximation via Vapnik--Chervonenkis Dimension ⋮ Two-stage mean-risk stochastic mixed integer optimization model for location-allocation problems under uncertain environment ⋮ Quantitative analysis for a class of two-stage stochastic linear variational inequality problems ⋮ Distributionally robust stochastic variational inequalities ⋮ Data perturbations in stochastic generalized equations: statistical robustness in static and sample average approximated models ⋮ A prediction-correction ADMM for multistage stochastic variational inequalities ⋮ Confidence regions of two‐stage stochastic linear complementarity problems ⋮ Solving Two-Stage Stochastic Variational Inequalities by a Hybrid Projection Semismooth Newton Algorithm ⋮ M-estimators for models with a mix of discrete and continuous parameters ⋮ A two-stage stochastic variational inequality model for storage and dynamic distribution of medical supplies in epidemic management ⋮ Optimality Conditions for Nonsmooth Nonconvex-Nonconcave Min-Max Problems and Generative Adversarial Networks ⋮ On Feasibility of Sample Average Approximation Solutions ⋮ On the computation of equilibria in monotone and potential stochastic hierarchical games ⋮ Monotonicity and complexity of multistage stochastic variational inequalities ⋮ Two-stage distributionally robust optimization model for warehousing-transportation problem under uncertain environment ⋮ Two-stage distributionally robust noncooperative games: existence of Nash equilibrium and its application to Cournot-Nash competition ⋮ Expected residual minimization method for monotone stochastic tensor complementarity problem ⋮ Two-stage stochastic variational inequalities: theory, algorithms and applications ⋮ Stochastic mathematical programs with probabilistic complementarity constraints: SAA and distributionally robust approaches ⋮ Regularized sample average approximation approach for two-stage stochastic variational inequalities ⋮ Stochastic structured tensors to stochastic complementarity problems ⋮ Convergence analysis of sample average approximation for a class of stochastic nonlinear complementarity problems: from two-stage to multistage ⋮ Two-Stage Quadratic Games under Uncertainty and Their Solution by Progressive Hedging Algorithms ⋮ Two-stage distributionally robust mixed-integer optimization model for three-level location-allocation problems under uncertain environment ⋮ Statistical robustness of two-stage stochastic variational inequalities ⋮ On sample average approximation for two-stage stochastic programs without relatively complete recourse ⋮ Quantitative Stability and Empirical Approximation of Risk-Averse Models Induced by Two-Stage Stochastic Programs with Full Random Recourse
Cites Work
- Strongly regular nonsmooth generalized equations
- Handbook of generalized convexity and generalized monotonicity
- Solution differentiability for variational inequalities
- Newton's method for generalized equations: a sequential implicit function theorem
- Uniform exponential convergence of sample average random functions under general sampling with applications in stochastic programming
- Fat homeomorphisms and unbounded derivate containers
- Sensitivity analysis for nonsmooth generalized equations
- Sensitivity analysis of generalized equations
- Two-stage stochastic variational inequalities: an ERM-solution procedure
- Individual confidence intervals for solutions to expected value formulations of stochastic variational inequalities
- Two-stage non-cooperative games with risk-averse players
- Stochastic variational inequalities: single-stage to multistage
- Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging
- Newton iterations in implicit time-stepping scheme for differential linear complementarity systems
- Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems
- Computational error bounds for a differential linear variational inequality
- Stochastic Variational Inequalities: Residual Minimization Smoothing Sample Average Approximations
- Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation
- Lectures on Stochastic Programming
- Generalized equations: Solvability and regularity
- Strongly Regular Generalized Equations
- Differential properties of the marginal function in mathematical programming
- On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
- Introduction to Stochastic Programming
- Variational Analysis
- Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Quantitative Stability Analysis of Stochastic Generalized Equations
- Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems