Operator Representations of Frames: Boundedness, Duality, and Stability
Sign Up to like & getrecommendations! Published in 2017 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-017-2370-1
Abstract: The purpose of the paper is to analyze frames $$\{f_k\}_{k\in \mathbb Z}$${fk}k∈Z having the form $$\{T^kf_0\}_{k\in \mathbb Z}$${Tkf0}k∈Z for some linear operator $$T: \text{ span } \{f_k\}_{k\in \mathbb Z}\rightarrow \text{ span }\{f_k\}_{k\in \mathbb Z}$$T:span{fk}k∈Z→span{fk}k∈Z. A… read more here.
Keywords: representations frames; mathbb tkf0; mathbb; operator representations ... See more keywords
Spectral operator representations
Sign Up to like & getrecommendations! Published in 2024 at "Npj Computational Materials"
DOI: 10.1038/s41524-024-01446-9
Abstract: Machine learning in atomistic materials science has grown to become a powerful tool, with most approaches focusing on atomic geometry, typically decomposed into local atomic environments. This approach, while well-suited for machine-learned interatomic potentials, is… read more here.
Keywords: geometry; operator representations; spectral operator;