Mixed-integer optimization with constraint learning

D Maragno, H Wiberg, D Bertsimas… - Operations …, 2023 - pubsonline.informs.org
We establish a broad methodological foundation for mixed-integer optimization with learned
constraints. We propose an end-to-end pipeline for data-driven decision making in which …

Neur2SP: Neural two-stage stochastic programming

RM Patel, J Dumouchelle, E Khalil… - Advances in neural …, 2022 - proceedings.neurips.cc
Stochastic Programming is a powerful modeling framework for decision-making under
uncertainty. In this work, we tackle two-stage stochastic programs (2SPs), the most widely …

Modeling the AC power flow equations with optimally compact neural networks: Application to unit commitment

A Kody, S Chevalier, S Chatzivasileiadis… - Electric Power Systems …, 2022 - Elsevier
Nonlinear power flow constraints render a variety of power system optimization problems
computationally intractable. Emerging research shows, however, that the nonlinear AC …

Neur2RO: Neural two-stage robust optimization

J Dumouchelle, E Julien, J Kurtz… - The Twelfth International …, 2023 - openreview.net
Robust optimization provides a mathematical framework for modeling and solving decision-
making problems under worst-case uncertainty. This work addresses two-stage robust …

[PDF][PDF] Review of machine learning techniques for optimal power flow

H Khaloie, M Dolanyi, JF Toubeau… - Available at SSRN …, 2024 - researchgate.net
ABSTRACT The Optimal Power Flow (OPF) problem is the cornerstone of power systems
operations, providing generators' most economical dispatch for power demands by fulfilling …

Deep-quantile-regression-based surrogate model for joint chance-constrained optimal power flow with renewable generation

G Chen, H Zhang, H Hui, Y Song - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Joint chance-constrained optimal power flow (JCC-OPF) is a promising tool for managing
distributed renewable generation uncertainties. However, existing works are usually based …

Closing the loop: A framework for trustworthy machine learning in power systems

J Stiasny, S Chevalier, R Nellikkath… - arxiv preprint arxiv …, 2022 - arxiv.org
Deep decarbonization of the energy sector will require massive penetration of stochastic
renewable energy resources and an enormous amount of grid asset coordination; this …

Capturing electricity market dynamics in strategic market participation using neural network constrained optimization

M Dolányi, K Bruninx, JF Toubeau… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In competitive electricity markets, the optimal bid or offer problem of a strategic agent is
commonly formulated as a bi-level program and solved as a mathematical program with …

Optimization with Neural Network Feasibility Surrogates: Formulations and Application to Security-Constrained Optimal Power Flow

Z Kilwein, J Jalving, M Eydenberg, L Blakely… - Energies, 2023 - mdpi.com
In many areas of constrained optimization, representing all possible constraints that give rise
to an accurate feasible region can be difficult and computationally prohibitive for online use …

Computational tradeoffs of optimization-based bound tightening in relu networks

F Badilla, M Goycoolea, G Muñoz, T Serra - arxiv preprint arxiv …, 2023 - arxiv.org
The use of Mixed-Integer Linear Programming (MILP) models to represent neural networks
with Rectified Linear Unit (ReLU) activations has become increasingly widespread in the …