About this Abstract |
Meeting |
2023 TMS Annual Meeting & Exhibition
|
Symposium
|
AI/Data Informatics: Computational Model Development, Validation, and Uncertainty Quantification
|
Presentation Title |
Using Categorical Structures in Model Analysis & Development |
Author(s) |
Kalan Kucera, John Nychka, Glenn Hibbard |
On-Site Speaker (Planned) |
Kalan Kucera |
Abstract Scope |
Judging the efficacy of the underlying empirical and analytical models of physical systems relies on deconstructing the mathematical structures innate in materials models. We present a category theoretic approach to this challenge, which examines the type and variety of mathematical structures inherent to materials models, using tools of abstraction to illustrate the mathematical forms taken by processes such as irreversible thermodynamic transformations and measurement. The categorization and synthesis of these forms create a scaffolding by which models of physical systems can be connected on an abstract, mathematical basis, providing a rigorous backdrop against which the directions and viability of material design and discovery may be organized. We then demonstrate the conceptual efficacy of the category theoretic approach to multiple facets of materials science and engineering. |
Proceedings Inclusion? |
Planned: |
Keywords |
Modeling and Simulation, Other, |