Stochastic Gradients: Optimization, Simulation, Randomization, and Sensitivity Analysis

被引:0
|
作者
Fu, Michael C. [1 ,2 ]
Hu, Jiaqiao [3 ]
Scheinberg, Katya [4 ]
机构
[1] Univ Maryland, Robert H Smith Sch Business, College Pk, MD 20742 USA
[2] Univ Maryland, Inst Syst Res, College Pk, MD 20742 USA
[3] SUNY Stony Brook, Dept Appl Math & Stat, Stony Brook, NY USA
[4] Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA USA
基金
美国国家科学基金会;
关键词
Stochastic gradients; perturbation analysis; automatic differentiation; likelihood ratio method; optimization; sensitivity analysis; stochastic gradient descent; stochastic approximation; stochastic optimization; simulation optimization; PERTURBATION ANALYSIS; APPROXIMATION ALGORITHMS; COMPOSITE OPTIMIZATION; SEARCH; CONVERGENCE; COMPLEXITY; RATES;
D O I
10.1080/24725854.2025.2469839
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Big data and high-dimensional optimization problems in operations research (OR) and artificial intelligence (AI) have brought stochastic gradients to the forefront. This article provides a view of research and applications in stochastic gradient estimation from multiple perspectives, as seminal advances have come from diverse and disparate research fields, including operations research/management science (OR/MS), industrial/systems engineering (ISE), optimal/stochastic control, statistics, and more recently from the computer science (CS) AI machine learning (ML) community.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] Robust Analysis in Stochastic Simulation: Computation and Performance Guarantees
    Ghosh, Soumyadip
    Lam, Henry
    OPERATIONS RESEARCH, 2019, 67 (01) : 232 - 249
  • [2] Sensitivity analysis for optimization problems solved by stochastic methods
    Takahashi, RHC
    Ramírez, JA
    Vasconcelos, JA
    Saldanha, RR
    IEEE TRANSACTIONS ON MAGNETICS, 2001, 37 (05) : 3566 - 3569
  • [3] Study on regional DC optimization and sensitivity analysis by simulation
    Ma, HW
    Wang, JH
    Huang, XF
    PROCEEDINGS OF THE 12TH INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1 AND 2: MODERN INDUSTRIAL ENGINEERING AND INNOVATION IN ENTERPRISE MANAGEMENT, 2005, : 1332 - 1337
  • [4] Reconstruction of populations by stochastic optimization: Sensitivity analysis
    Bonneuil, Noel
    MATHEMATICAL POPULATION STUDIES, 2017, 24 (03) : 181 - 189
  • [5] Adaptive Stochastic Optimization: A Framework for Analyzing Stochastic Optimization Algorithms
    Curtis, Frank E.
    Scheinberg, Katya
    IEEE SIGNAL PROCESSING MAGAZINE, 2020, 37 (05) : 32 - 42
  • [6] Sensitivity and stability analysis of a delayed stochastic epidemic model with temperature gradients
    Waikhom P.
    Jain R.
    Tegar S.
    Modeling Earth Systems and Environment, 2016, 2 (1)
  • [7] Aggregating Stochastic Gradients in Distributed Optimization
    Doan, Thinh T.
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 2170 - 2175
  • [8] NONLINEAR GRADIENT MAPPINGS AND STOCHASTIC OPTIMIZATION: A GENERAL FRAMEWORK WITH APPLICATIONS TO HEAVY-TAIL NOISE
    Jakovetic, Dusuan
    Bajovic, Dragana
    Sahu, Anit Kumar
    Kar, Soummya
    Milosevic, Nemanja
    Stamenkovic, Dusan
    SIAM JOURNAL ON OPTIMIZATION, 2023, 33 (02) : 394 - 423
  • [9] A Stochastic Approximation Framework for a Class of Randomized Optimization Algorithms
    Hu, Jiaqiao
    Hu, Ping
    Chang, Hyeong Soo
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) : 165 - 178
  • [10] Stochastic Subset Optimization for reliability optimization and sensitivity analysis in system design
    Taflanidis, Alexandros A.
    Beck, James L.
    COMPUTERS & STRUCTURES, 2009, 87 (5-6) : 318 - 331