We consider the Koopman operator theory in context of nonlinear infinite-dimensional systems, where is defined over a space bounded continuous functionals. The properties semigroup are described and finite-dimensional projection proposed, which provides linear approximation underlying dynamics. This used to obtain spectral from data, method can be seen as generalization Extended Dynamic Mode De...

We report a metal–organic framework (MOF) with rare two-dimensional (2D) secondary building unit (SBU). The SBU comprises mixed-valent Fe2+ and Fe3+ metal ions bridged by oxygen atoms pertaining to the polytopic ligand 3,3′,4,4′,5,5′-hexahydroxybiphenyl, which also define iron-oxide 2D layers. Overall, anionic exhibits topology evidences strong electronic communication between mixed-valence iro...

In this dissertation, I present a problem of three-dimensional volume reconstruction from fluorescent confocal laser scanning microscopy (CLSM) imagery. I overview a three-dimensional volume reconstruction framework which consists of (a) volume reconstruction procedures using multiple automation levels, feature types, and feature dimensionalities, (b) a data-driven registration decision support...

In this paper, we propose a framework of emotion prediction based on a multi-dimensional emotion model using object similarity. The proposed framework predicts the user's level of emotional response to an emotional stimulus, based on a sensitivity database that consists of self-assessment manikin-based integer-scale data, rated on various object stimulations by many users. We experimented on 72...