Concept
stochastic optimization
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Risk-averse OptimizationScenario GenerationScenario ReductionStochastic DominanceStochastic Programming
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Partial-Information Stochastic Control
1971 - 1978
The period saw a consolidation of decision making under uncertainty, with dynamic programming on belief states enabling partial-information control, and a formal bridge between stochastic recursion and deterministic differential equations informing convergence and adaptive design. It also clarified the structure of stochastic programs with fixed recourse by showing their equivalent deterministic formulations, guiding scalable solution methods. Historical Significance: These developments established a unifying paradigm across stochastic control, stochastic programming, and online optimization, laying foundational tools that reappear in modern POMDPs, stochastic approximation, and robust decision frameworks, and they set the stage for subsequent integration of control theory with data-driven optimization.
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Adaptive Stochastic Optimization
1979 - 1985
Robust Stochastic Optimization
1986 - 1992
Stochastic Approximation in Decision-Making
1993 - 2006
Data-Driven Distributional Stochastic Optimization
2007 - 2013
Adaptive Variance-Reduced Optimization
2014 - 2023