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This paper studies how to train machine-learning models that directly approximate the optimal solutions of constrained optimization problems.
The power grid library for benchmarking ac optimal power flow algorithms
Babaeinejadsarookolaee, S.; Birchfield, A.; Christie, R. D.; Coffrin, C.; DeMarco, C.; Diao, R.; Ferris, M.; Fliscounakis, S.; Greene, S.; Huang, R.; et al. 2019 · 1908
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Multiplier and gradient methods
Hestenes, M. R. 1969 · 1969
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A method for nonlinear constraints in minimization problems
Powell, M. J. 1969 · 1969
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Augmented Lagrange multiplier functions and duality in nonconvex programming
Rockafellar, R. T. 1974 · 1974
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Stochastic techniques for global optimization: A survey of recent advances
Schoen, F. 1991 · 1991
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Numerical optimization
Wright, S.; Nocedal, J.; et al. 1999 · 1999
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Learning optimal solutions for extremely fast AC optimal power flow
Zamzam, A. S.; and Baker, K. 2020 · 1999
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High-fidelity machine learning approximations of large-scale optimal power flow
Chatzos, M.; Fioretto, F.; Mak, T. W.; and Van Hentenryck, P. 2020 · 2006
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On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
Wächter, A.; and Biegler, L. T. 2006 · 2006
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On augmented Lagrangian methods with general lower-level constraints
Andreani, R.; Birgin, E. G.; Martínez, J. M.; and Schuverdt, M. L. 2008 · 2008
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Constrained optimization and Lagrange multiplier methods
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Adam: A method for stochastic optimization
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Khalil, E.; Dai, H.; Zhang, Y.; Dilkina, B.; and Song, L. 2017 · 2017
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General heuristics for nonconvex quadratically constrained quadratic programming
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PowerModels.jl: An Open-Source Framework for Exploring Power Flow Formulations
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Spatial network decomposition for fast and scalable ac-opf learning
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Dc3: A learning method for optimization with hard constraints
Donti, P. L.; Rolnick, D.; and Kolter, J. Z. 2021 · 2021
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Learning hard optimization problems: A data generation perspective
Kotary, J.; Fioretto, F.; and Van Hentenryck, P. 2021 · 2021
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End-to-end constrained optimization learning: A survey
Kotary, J.; Fioretto, F.; Van Hentenryck, P.; and Wilder, B. 2021 · 2021
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Combining deep learning and optimization for preventive security-constrained DC optimal power flow
Velloso, A.; and Van Hentenryck, P. 2021 · 2021
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