3 citations · 6 across the 5 of their papers we have counts for
6 papers
Learning Invariant Subspaces of Koopman Operators--Part 2: Heterogeneous Dictionary Mixing to Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
This work builds on the models and concepts presented in part 1 to learn approximate dictionary representations of Koopman operators from data. Part I of this paper presented a met…
Learning Invariant Subspaces of Koopman Operators--Part 1: A Methodology for Demonstrating a Dictionary's Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…
Data-Driven Observability Decomposition with Koopman Operators for Optimization of Output Functions of Nonlinear Systems
Shara Balakrishnan, Aqib Hasnain, Robert Egbert +1
When complex systems with nonlinear dynamics achieve an output performance objective, only a fraction of the state dynamics significantly impacts that output. Those minimal state d…
Heterogeneous mixtures of dictionary functions to approximate subspace invariance in Koopman operators
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…
The Effect of Sensor Fusion on Data-Driven Learning of Koopman Operators
Shara Balakrishnan, Aqib Hasnain, Rob Egbert +1
Dictionary methods for system identification typically rely on one set of measurements to learn governing dynamics of a system. In this paper, we investigate how fusion of output m…
Prediction of fitness in bacteria with causal jump dynamic mode decomposition
Shara Balakrishnan, Aqib Hasnain, Nibodh Boddupalli +3
In this paper, we consider the problem of learning a predictive model for population cell growth dynamics as a function of the media conditions. We first introduce a generic data-d…