Alexander Shapiro

Orcid: 0000-0002-4776-0053

Affiliations:
  • Georgia Institute of Technology, School of Industrial and Systems Engineering, Atlanta, GA, USA


According to our database1, Alexander Shapiro authored at least 105 papers between 1983 and 2023.

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Bibliography

2023
Risk-averse stochastic optimal control: An efficiently computable statistical upper bound.
Oper. Res. Lett., July, 2023

Duality and sensitivity analysis of multistage linear stochastic programs.
Eur. J. Oper. Res., July, 2023

Bayesian Distributionally Robust Optimization.
SIAM J. Optim., June, 2023

Dual Bounds for Periodical Stochastic Programs.
Oper. Res., January, 2023

Distributionally robust stochastic variational inequalities.
Math. Program., 2023

Numerical Methods for Convex Multistage Stochastic Optimization.
CoRR, 2023

Statistical Limit Theorems in Distributionally Robust Optimization.
Proceedings of the Winter Simulation Conference, 2023

2022
Distributionally robust modeling of optimal control.
Oper. Res. Lett., 2022

Risk-Averse Stochastic Programming: Time Consistency and Optimal Stopping.
Oper. Res., 2022

2021
Goodness-of-Fit Tests on Manifolds.
IEEE Trans. Inf. Theory, 2021

On Characteristic Rank for Matrix and Tensor Completion [Lecture Notes].
IEEE Signal Process. Mag., 2021

Testing Rank of Incomplete Unimodal Matrices.
IEEE Signal Process. Lett., 2021

Mathematical Foundations of Distributionally Robust Multistage Optimization.
SIAM J. Optim., 2021

Central limit theorem and sample complexity of stationary stochastic programs.
Oper. Res. Lett., 2021

Distributionally robust Optimal Control and MDP modeling.
Oper. Res. Lett., 2021

Special Issue: Continuous Optimization and Stability Analysis.
Math. Program., 2021

Tutorial on risk neutral, distributionally robust and risk averse multistage stochastic programming.
Eur. J. Oper. Res., 2021

2020
Periodical Multistage Stochastic Programs.
SIAM J. Optim., 2020

Technical Note - Time Inconsistency of Optimal Policies of Distributionally Robust Inventory Models.
Oper. Res., 2020

Risk neutral reformulation approach to risk averse stochastic programming.
Eur. J. Oper. Res., 2020

Rank one tensor completion problem.
CoRR, 2020

2019
Matrix Completion With Deterministic Pattern: A Geometric Perspective.
IEEE Trans. Signal Process., 2019

Convergence Analysis of Sample Average Approximation of Two-Stage Stochastic Generalized Equations.
SIAM J. Optim., 2019

Statistical inference of semidefinite programming.
Math. Program., 2019

Modeling time-dependent randomness in stochastic dual dynamic programming.
Eur. J. Oper. Res., 2019

Statistical Rank Selection for Incomplete Low-rank Matrices.
Proceedings of the IEEE International Conference on Acoustics, 2019

2018
A Central Limit Theorem and Hypotheses Testing for Risk-averse Stochastic Programs.
SIAM J. Optim., 2018

Estimation and asymptotics for buffered probability of exceedance.
Eur. J. Oper. Res., 2018

2017
Distributionally Robust Stochastic Programming.
SIAM J. Optim., 2017

Interchangeability principle and dynamic equations in risk averse stochastic programming.
Oper. Res. Lett., 2017

When Friends Become Competitors: The Design of Resource Exchange Alliances.
Manag. Sci., 2017

2016
Decomposability and time consistency of risk averse multistage programs.
Oper. Res. Lett., 2016

Differentiability Properties of Metric Projections onto Convex Sets.
J. Optim. Theory Appl., 2016

Rectangular Sets of Probability Measures.
Oper. Res., 2016

Risk neutral and risk averse approaches to multistage renewable investment planning under uncertainty.
Eur. J. Oper. Res., 2016

2014
Lectures on Stochastic Programming - Modeling and Theory, Second Edition.
MOS-SIAM Series on Optimization 16, SIAM, ISBN: 978-1-61197-342-6, 2014

2013
On Kusuoka Representation of Law Invariant Risk Measures.
Math. Oper. Res., 2013

Risk exposure and Lagrange multipliers of nonanticipativity constraints in multistage stochastic problems.
Math. Methods Oper. Res., 2013

Consistency of Sample Estimates of Risk Averse Stochastic Programs.
J. Appl. Probab., 2013

Worst-Case-Expectation Approach to Optimization Under Uncertainty.
Oper. Res., 2013

Risk neutral and risk averse Stochastic Dual Dynamic Programming method.
Eur. J. Oper. Res., 2013

2012
Bounds for nested law invariant coherent risk measures.
Oper. Res. Lett., 2012

Time consistency of dynamic risk measures.
Oper. Res. Lett., 2012

Validation analysis of mirror descent stochastic approximation method.
Math. Program., 2012

Conditional Value-at-Risk and Average Value-at-Risk: Estimation and Asymptotics.
Oper. Res., 2012

Minimax and risk averse multistage stochastic programming.
Eur. J. Oper. Res., 2012

2011
A dynamic programming approach to adjustable robust optimization.
Oper. Res. Lett., 2011

Analysis of stochastic dual dynamic programming method.
Eur. J. Oper. Res., 2011

2010
Construction of Covariance Matrices with a Specified Discrepancy Function Minimizer, with Application to Factor Analysis.
SIAM J. Matrix Anal. Appl., 2010

Preface.
Math. Program., 2010

2009
Semidefinite Programming: Optimality Conditions and Stability.
Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Robust Stochastic Approximation Approach to Stochastic Programming.
SIAM J. Optim., 2009

On a time consistency concept in risk averse multistage stochastic programming.
Oper. Res. Lett., 2009

Augmented Lagrangians in semi-infinite programming.
Math. Program., 2009

Asymptotic normality of test statistics under alternative hypotheses.
J. Multivar. Anal., 2009

Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications.
J. Optimization Theory and Applications, 2009

Lectures on Stochastic Programming - Modeling and Theory
MOS-SIAM Series on Optimization, SIAM, ISBN: 978-0-89871-875-1, 2009

2008
Stochastic programming approach to optimization under uncertainty.
Math. Program., 2008

2007
Corrigendum to: "Optimization of Convex Risk Functions, " <i>Mathematics of Operations Research</i> 31 (2006) 433 - 452.
Math. Oper. Res., 2007

Coherent risk measures in inventory problems.
Eur. J. Oper. Res., 2007

2006
Convex Approximations of Chance Constrained Programs.
SIAM J. Optim., 2006

On complexity of multistage stochastic programs.
Oper. Res. Lett., 2006

Worst-case distribution analysis of stochastic programs.
Math. Program., 2006

Solving multistage asset investment problems by the sample average approximation method.
Math. Program., 2006

Conditional Risk Mappings.
Math. Oper. Res., 2006

Optimization of Convex Risk Functions.
Math. Oper. Res., 2006

Simulation-based approach to estimation of latent variable models.
Comput. Stat. Data Anal., 2006

The empirical behavior of sampling methods for stochastic programming.
Ann. Oper. Res., 2006

2005
Differentiability and semismoothness properties of integral functions and their applications.
Math. Program., 2005

Sensitivity Analysis of Parameterized Variational Inequalities.
Math. Oper. Res., 2005

A stochastic programming approach for supply chain network design under uncertainty.
Eur. J. Oper. Res., 2005

2004
On a Class of Minimax Stochastic Programs.
SIAM J. Optim., 2004

Some Properties of the Augmented Lagrangian in Cone Constrained Optimization.
Math. Oper. Res., 2004

2003
On a Class of Nonsmooth Composite Functions.
Math. Oper. Res., 2003

Inference of statistical bounds for multistage stochastic programming problems.
Math. Methods Oper. Res., 2003

The Sample Average Approximation Method Applied to Stochastic Routing Problems: A Computational Study.
Comput. Optim. Appl., 2003

2002
The Sample Average Approximation Method for Stochastic Discrete Optimization.
SIAM J. Optim., 2002

Minimax analysis of stochastic problems.
Optim. Methods Softw., 2002

Conditioning of convex piecewise linear stochastic programs.
Math. Program., 2002

2001
Monte Carlo simulation approach to stochastic programming.
Proceedings of the 33nd conference on Winter simulation, 2001

2000
On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs.
SIAM J. Optim., 2000

Perturbation Analysis of Optimization Problems
Springer Series in Operations Research, Springer, ISBN: 978-1-4612-1394-9, 2000

1999
Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets.
SIAM J. Optim., 1999

1998
Optimization Problems with Perturbations: A Guided Tour.
SIAM Rev., 1998

Nondegeneracy and Quantitative Stability of Parameterized Optimization Problems with Multiple Solutions.
SIAM J. Optim., 1998

A simulation-based approach to two-stage stochastic programming with recourse.
Math. Program., 1998

Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints.
Math. Oper. Res., 1998

1997
On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints.
SIAM J. Optim., 1997

First and second order analysis of nonlinear semidefinite programs.
Math. Program., 1997

1996
Convergence Analysis of Stochastic Algorithms.
Math. Oper. Res., 1996

Simulation Based Optimization.
Proceedings of the 28th conference on Winter simulation, 1996

1995
Monotone Structure in Discrete-Event Systems (P. Glasserman and D. D. Yao).
SIAM Rev., 1995

On Eigenvalue Optimization.
SIAM J. Optim., 1995

Directional differentiability of the optimal value function in convex semi-infinite programming.
Math. Program., 1995

1994
Nondifferentiability of the steady-state function in discrete event dynamic systems.
IEEE Trans. Autom. Control., 1994

Existence and Differentiability of Metric Projections in Hilbert Spaces.
SIAM J. Optim., 1994

Quantitative stability in stochastic programming.
Math. Program., 1994

On Lipschitzian Stability of Optimal Solutions of Parametrized Semi-Infinite Programs.
Math. Oper. Res., 1994

1993
Asymptotic Behavior of Optimal Solutions in Stochastic Programming.
Math. Oper. Res., 1993

1992
On Optimal Choice of Reference Parameters in the Likelihood Ratio Method.
Proceedings of the 24th Winter Simulation Conference, 1992

1991
Asymptotic analysis of stochastic programs.
Ann. Oper. Res., 1991

1990
On Differential Stability in Stochastic Programming.
Math. Program., 1990

1985
Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs.
Math. Program., 1985

Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs.
Math. Oper. Res., 1985

1983
Fisher Discriminant Analysis and Factor Analysis.
IEEE Trans. Pattern Anal. Mach. Intell., 1983


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