| About this Abstract | 
   
    | Meeting | TMS Specialty Congress 2024 | 
   
    | Symposium | 2nd World Congress on Artificial Intelligence in Materials & Manufacturing (AIM 2024) | 
   
    | Presentation Title | Intrinsic Dimensionality Estimates for Microstructural Data | 
   
    | Author(s) | Veera  Sundararaghavan, Megna  Shah, Jeff  Simmons | 
   
    | On-Site Speaker (Planned) | Megna  Shah | 
   
    | Abstract Scope | We hypothesize that there are regions of processing space that are homeomoprhic to microstructure space. That is, the domains are continuous, invertible and one-to-one. The continuity assumption implies that small changes in the processing domain result in small changes in the microstructure domain, and vice-versa. The invertibility assumption means that microstructure can be inverted to find the process. And both of these assumptions mean the mapping is one-to-one. We know that not all microstructures are homeomorphic to processing, but finding regions where this is true will enable autonomous materials design. A key property of homeomorphism that both domains have the same intrinsic dimensionality. Here we use an approach for non-linear data, to measure the intrinsic dimensionality of microstructure data. The approach, its modifications and the results will be described here. | 
   
    | Proceedings Inclusion? | Definite: Other |