Deterministic global optimization with artificial neural networks embedded

AM Schweidtmann, A Mitsos - Journal of Optimization Theory and …, 2019 - Springer
Artificial neural networks are used in various applications for data-driven black-box
modeling and subsequent optimization. Herein, we present an efficient method for …

EAGO. jl: easy advanced global optimization in Julia

ME Wilhelm, MD Stuber - Optimization Methods and Software, 2022 - Taylor & Francis
An extensible open-source deterministic global optimizer (EAGO) programmed entirely in
the Julia language is presented. EAGO was developed to serve the need for supporting …

Bounding convex relaxations of process models from below by tractable black-box sampling

Y Song, H Cao, C Mehta, KA Khan - Computers & Chemical Engineering, 2021 - Elsevier
Several chemical engineering applications demand global optimization of nonconvex
process models, including safety verification and determination of thermodynamic equilibria …

Convex and concave envelopes of artificial neural network activation functions for deterministic global optimization

ME Wilhelm, C Wang, MD Stuber - Journal of Global Optimization, 2023 - Springer
In this work, we present general methods to construct convex/concave relaxations of the
activation functions that are commonly chosen for artificial neural networks (ANNs). The …

Semi-Infinite optimization with hybrid models

C Wang, ME Wilhelm, MD Stuber - Industrial & Engineering …, 2022 - ACS Publications
The robust design of performance/safety-critical process systems, from a model-based
perspective, remains an existing challenge. Hybrid first-principles data-driven models offer …

General convex relaxations of implicit functions and inverse functions

H Cao, KA Khan - Journal of Global Optimization, 2023 - Springer
Convex relaxations of nonconvex functions provide useful bounding information in
applications such as deterministic global optimization and reachability analysis. In some …

Improved convex and concave relaxations of composite bilinear forms

ME Wilhelm, MD Stuber - Journal of Optimization Theory and Applications, 2023 - Springer
Deterministic nonconvex optimization solvers generate convex relaxations of nonconvex
functions by making use of underlying factorable representations. One approach introduces …

Enclosing reachable sets for nonlinear control systems using complementarity-based intervals

H Cao, KA Khan - IFAC-PapersOnLine, 2021 - Elsevier
Enclosing the reachable sets of nonlinear control systems is useful in state estimation and
safety verification for chemical process models. We present a new approach for computing …

Optimization and Control of Spatiotemporal Systems

C Wang - 2022 - search.proquest.com
Engineered systems exhibit transient spatially dependent phenomena. Advances in
computational methods enable applications of quantitative and formal methods for …

[PDF][PDF] Global optimization of processes through machine learning

AM Schweidtmann - 2021 - scholar.archive.org
Global optimization of processes through machine learning Page 1 Global Optimization of
Processes through Machine Learning Globale Prozessoptimierung durch maschinelles Lernen …