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19932026
most citedA Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

1.9k citations · 6.2k across the 179 of their papers we have counts for

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Showing 2022Show all

17 papers · 1 filter

cond-mat.dis-nn2022

Quantifying the Structure of Disordered Materials

Thomas J. Hardin, Michael Chandross, Rahul Meena +5

Durable interest in developing a framework for the detailed structure of glassy materials has produced numerous structural descriptors that trade off between general applicability…

cs.LG2022★ 1 cited

A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms

Danimir T. Doncevic, Alexander Mitsos, Yue Guo +4

Meta-learning of numerical algorithms for a given task consists of the data-driven identification and adaptation of an algorithmic structure and the associated hyperparameters. To…

math.NA2022★ 5 cited

Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves

J. Divahar, A. J. Roberts, Trent W. Mattner +2

Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requ…

math.OC2022

A note on the control of processes exhibiting input multiplicity

Robert J. Lovelett, Yorgos M. Psarellis, Ioannis G. Kevrekidis +1

Steady state multiplicity can occur in nonlinear systems, and this presents challenges to feedback control. Input multiplicity arises when the same steady state output values can b…

cs.DS2022

Algorithmic (Semi-)Conjugacy via Koopman Operator Theory

William T. Redman, Maria Fonoberova, Ryan Mohr +2

Iterative algorithms are of utmost importance in decision and control. With an ever growing number of algorithms being developed, distributed, and proprietarized, there is a simila…

q-bio.QM2022★ 7 cited

Data-driven Discovery of Chemotactic Migration of Bacteria via Machine Learning

Yorgos M. Psarellis, Seungjoon Lee, Tapomoy Bhattacharjee +3

E. coli chemotactic motion in the presence of a chemoattractant field has been extensively studied using wet laboratory experiments, stochastic computational models as well as part…