On stochastic mirror-prox algorithms for stochastic Cartesian variational inequalities: randomized block coordinate and optimal averaging schemes
DOI10.1007/s11228-018-0472-9OpenAlexW2963155955WikidataQ130107647 ScholiaQ130107647MaRDI QIDQ1711086
Uday V. Shanbhag, Farzad Yousefian, Angelia Nedić
Publication date: 16 January 2019
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08195
stochastic variational inequalitiesNash gamesstochastic approximation methodsrandomized block coordinate methodsstochastic mirror-prox methods
Large-scale problems in mathematical programming (90C06) Noncooperative games (91A10) Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
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- A coordinate gradient descent method for nonsmooth separable minimization
- Error bounds and convergence analysis of feasible descent methods: A general approach
- On the convergence of the coordinate descent method for convex differentiable minimization
- The mathematics of internet congestion control
- Accelerated schemes for a class of variational inequalities
- On smoothing, regularization, and averaging in stochastic approximation methods for stochastic variational inequality problems
- Optimal stochastic extragradient schemes for pseudomonotone stochastic variational inequality problems and their variants
- Incremental constraint projection methods for variational inequalities
- On the convergence properties of non-Euclidean extragradient methods for variational inequalities with generalized monotone operators
- Coordinate descent algorithms
- Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function
- Lectures on Modern Convex Optimization
- Addressing supply-side risk in uncertain power markets: stochastic Nash models, scalable algorithms and error analysis
- A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
- Efficiency of Coordinate Descent Methods on Huge-Scale Optimization Problems
- Stochastic Variational Inequalities: Residual Minimization Smoothing Sample Average Approximations
- Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization
- Self-Tuned Stochastic Approximation Schemes for Non-Lipschitzian Stochastic Multi-User Optimization and Nash Games
- Real and Complex Monotone Communication Games
- Rate control for communication networks: shadow prices, proportional fairness and stability
- A Complementarity Framework for Forward Contracting Under Uncertainty
- Distributed Block Coordinate Descent for Minimizing Partially Separable Functions
- SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS
- Network Optimization and Control
- Robust Stochastic Approximation Approach to Stochastic Programming
- Acceleration of Stochastic Approximation by Averaging
- Variational Analysis
- Robust MIMO Cognitive Radio Via Game Theory
- Prox-Method with Rate of Convergence O(1/t) for Variational Inequalities with Lipschitz Continuous Monotone Operators and Smooth Convex-Concave Saddle Point Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Stochastic Approximation Approaches to the Stochastic Variational Inequality Problem
- On Stochastic Subgradient Mirror-Descent Algorithm with Weighted Averaging
- Solving variational inequalities with Stochastic Mirror-Prox algorithm
- Incremental Constraint Projection Methods for Monotone Stochastic Variational Inequalities
- Nash Equilibrium Problems With Scaled Congestion Costs and Shared Constraints
- Regularized Iterative Stochastic Approximation Methods for Stochastic Variational Inequality Problems
- Extragradient Method with Variance Reduction for Stochastic Variational Inequalities
- A Stochastic Approximation Method