29 citations · 97 across the 24 of their papers we have counts for
10 papers · 1 filter
Data-Driven Operator Theoretic Methods for Global Phase Space Learning
Sai Pushpak Nandanoori, Subhrajit Sinha, Enoch Yeung
In this work, we propose to apply the recently developed Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. In particular, w…
Information Transfer in Dynamical Systems and Optimal Placement of Actuators and Sensors for Control of Non-equilibrium Dynamics
Subhrajit Sinha, Umesh Vaidya, Enoch Yeung
In this paper we develop the concept of information transfer between the Borel-measurable sets for a dynamical system described by a measurable space and a non-singular transformat…
Online Learning of Dynamical Systems: An Operator Theoretic Approach
Subhrajit Sinha, Sai Pushpak Nandanoori, Enoch Yeung
In this paper, we provide an algorithm for online computation of Koopman operator in real-time using streaming data. In recent years, there has been an increased interest in data-d…
A data-driven method for quantifying the impact of a genetic circuit on its host
Aqib Hasnain, Subhrajit Sinha, Yuval Dorfan +12
Genetic circuits are designed to implement certain logic in living cells, keeping burden on the host cell minimal. However, manipulating the genome often will have a significant im…
Towards Scalable Koopman Operator Learning: Convergence Rates and A Distributed Learning Algorithm
Zhiyuan Liu, Guohui Ding, Lijun Chen +1
We propose an alternating optimization algorithm to the nonconvex Koopman operator learning problem for nonlinear dynamic systems. We show that the proposed algorithm will converge…
Steady state programming of controlled nonlinear systems via deep dynamic mode decomposition
Aqib Hasnain, Nibodh Boddupalli, Shara Balakrishnan +1
This paper describes the optimal selection of a control policy to program the steady state of controlled nonlinear systems with hyperbolic fixed points. This work is motivated by t…
Koopman Operators for Generalized Persistence of Excitation Conditions for Nonlinear Systems
Nibodh Boddupalli, Aqib Hasnain, Sai Pushpak Nandanoori +1
It is hard to identify nonlinear biological models strictly from data, with results that are often sensitive to experimental conditions. Automated experimental workflows and liquid…
Optimal reporter placement in sparsely measured genetic networks using the Koopman operator
Aqib Hasnain, Nibodh Boddupalli, Enoch Yeung
Optimal sensor placement is an important yet unsolved problem in control theory. In biological organisms, genetic activity is often highly nonlinear, making it difficult to design…
On Computation of Koopman Operator from Sparse Data
Subhrajit Sinha, Enoch Yeung
In this paper we propose a novel approach to compute the Koopman operator from sparse time series data. In recent years there has been considerable interests in operator theoretic…
A Constructive Approach for One-Shot Training of Neural Networks Using Hypercube-Based Topological Coverings
W. Brent Daniel, Enoch Yeung
In this paper we presented a novel constructive approach for training deep neural networks using geometric approaches. We show that a topological covering can be used to define a c…