Prediction of fitness in bacteria with causal jump dynamic mode decomposition
Published in 2020 IEEE American Control Conference, Virtual Conference, 2020
Recommended citation: S. Balakrishnan, A. Hasnain, ..., E. Yeung. (2020). "Prediction of fitness in bacteria with causal jump dynamic mode decomposition." 2020 IEEE American Control Conference. arXiv preprint arXiv:2006.12726. http://aqibhasnain.github.io/files/balakrishnan2020prediction.pdf
We consider the problem of learning a predictive model for population cell growth dynamics as a function of the media conditions. We show theoretically that Hankel DMD can be used to obtain a solution of the NAR model. We show that it identifies a constrained NAR model and to obtain a more general solution, we define a causal state space system using 1-step, 2-step,…,{\tau}-step predictors of the NAR model and identify a Koopman operator for this model using extended dynamic mode decomposition.