1 code implementation • 2 Oct 2024 • Madhav Muthyala, Farshud Sorourifar, Joel A. Paulson
Symbolic regression (SR) is a powerful machine learning approach that searches for both the structure and parameters of algebraic models, offering interpretable and compact representations of complex data.
no code implementations • 15 Jun 2024 • Prabhat K. Mishra, Joel A. Paulson, Richard D. Braatz
This article is devoted to providing a review of mathematical formulations in which Polynomial Chaos Theory (PCT) has been incorporated into stochastic model predictive control (SMPC).
no code implementations • 5 Jun 2024 • Wei-Ting Tang, Ankush Chakrabarty, Joel A. Paulson
Consequently, popular NS algorithms rely on evolutionary optimization and other meta-heuristics that require intensive sampling of the input space, which is impractical when the system is expensive to evaluate.
1 code implementation • 28 May 2024 • Yen-An Lu, Wei-Shou Hu, Joel A. Paulson, Qi Zhang
This work addresses data-driven inverse optimization (IO), where the goal is to estimate unknown parameters in an optimization model from observed decisions that can be assumed to be optimal or near-optimal solutions to the optimization problem.
1 code implementation • 13 May 2024 • Wei-Ting Tang, Joel A. Paulson
One way to overcome this challenge is to focus on local BO methods that aim to efficiently learn gradients, which have shown strong empirical performance on a variety of high-dimensional problems including policy search in reinforcement learning (RL).
no code implementations • 29 Jan 2024 • Joel A. Paulson, Calvin Tsay
Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond.
no code implementations • 2 Jan 2024 • Farshud Sorourifar, Thomas Banker, Joel A. Paulson
In this work, we show that such methods have a tendency to "get stuck," which we hypothesize occurs since the mapping from the encoded space to property values is not necessarily well-modeled by a Gaussian process.
no code implementations • 24 Jun 2023 • Truong X. Nghiem, Ján Drgoňa, Colin Jones, Zoltan Nagy, Roland Schwan, Biswadip Dey, Ankush Chakrabarty, Stefano Di Cairano, Joel A. Paulson, Andrea Carron, Melanie N. Zeilinger, Wenceslao Shaw Cortez, Draguna L. Vrabie
Specifically, the paper covers an overview of the theory, fundamental concepts and methods, tools, and applications on topics of: 1) physics-informed learning for system identification; 2) physics-informed learning for control; 3) analysis and verification of PIML models; and 4) physics-informed digital twins.
1 code implementation • 5 May 2023 • Congwen Lu, Joel A. Paulson
Since these bounds depend sublinearly on the number of iterations under some regularity assumptions, we establis bounds on the convergence rate to the optimal solution of the original constrained problem.
2 code implementations • 3 Sep 2021 • Jared O'Leary, Joel A. Paulson, Ali Mesbah
Stochastic differential equations (SDEs) are used to describe a wide variety of complex stochastic dynamical systems.