Search Results for author: Joel A. Paulson

Found 10 papers, 5 papers with code

TorchSISSO: A PyTorch-Based Implementation of the Sure Independence Screening and Sparsifying Operator for Efficient and Interpretable Model Discovery

1 code implementation2 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.

Model Discovery regression +1

Polynomial Chaos-based Stochastic Model Predictive Control: An Overview and Future Research Directions

no code implementations15 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).

Model Predictive Control

BEACON: A Bayesian Optimization Strategy for Novelty Search in Expensive Black-Box Systems

no code implementations5 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.

Bayesian Optimization Drug Discovery +3

BO4IO: A Bayesian optimization approach to inverse optimization with uncertainty quantification

1 code implementation28 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.

Bayesian Optimization Uncertainty Quantification

CAGES: Cost-Aware Gradient Entropy Search for Efficient Local Multi-Fidelity Bayesian Optimization

1 code implementation13 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).

Bayesian Optimization Reinforcement Learning (RL)

Bayesian optimization as a flexible and efficient design framework for sustainable process systems

no code implementations29 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.

Bayesian Optimization

Accelerating Black-Box Molecular Property Optimization by Adaptively Learning Sparse Subspaces

no code implementations2 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.

Bayesian Optimization molecular representation

Physics-Informed Machine Learning for Modeling and Control of Dynamical Systems

no code implementations24 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.

Physics-informed machine learning

No-Regret Constrained Bayesian Optimization of Noisy and Expensive Hybrid Models using Differentiable Quantile Function Approximations

1 code implementation5 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.

Bayesian Optimization

Stochastic Physics-Informed Neural Ordinary Differential Equations

2 code implementations3 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.

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