Abstract: In this work, a new method is proposed to derive the initial approximate model for a multifidelity (MF) surrogate optimization. Specifically, the proposed method is trained using a set of ...

Python library for simulating dynamics and Koopman-based learning of dynamical models. The code in this repository was prepared to implement the methodologies described in C. Folkestad, D. Pastor, I.

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The study of quantum ergodicity and the precise estimation of eigenfunctions on Riemannian manifolds lies at the intersection of geometric analysis and quantum physics. In settings where the ...

Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately following publication. Citation ...

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This work presents the general form solution of Koopman Partial Differential Equation and shows that its functional dimensionality is finite. The dimensionality is as the dimensionality of the ...

Abstract: We have identified a general class of nonlinear stochastic optimal control problems which can be reduced to computing the principal eigenfunction of a linear operator. Here we develop ...