Conference Tools for 2023 TMS Annual Meeting & Exhibition

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About this Abstract
Meeting	2023 TMS Annual Meeting & Exhibition
Symposium	Hume-Rothery Symposium on First-Principles Materials Design
Presentation Title	Double Descent, Linear Regression, and Fundamental Questions in Alloy Model Building
Author(s)	Gus LW Hart
On-Site Speaker (Planned)	Gus LW Hart
Abstract Scope	Though many data science concepts are just glosses on ideas that predate the data science revolution by years or even decades, some suggest altogether new approaches or raise fundamental questions. The phenomenon of double descent behavior in neural networks defies intuition and may seem to violate the "no free lunch" theorem. Is double descent behavior peculiar to neural networks? Or is it more general? We illustrate double descent in a simple linear regression model and then revisit basic questions in alloy model building, using the cluster expansion and machine learned interatomic potentials as illustrations. How is convergence impacted by the range of interaction? Or the order of an n-body interaction? How completely must we span configuration space with our expansions? We address these questions from the perspective of both mathematics and physics and discuss the implications for practical alloy models.
Proceedings Inclusion?	Planned:

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