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20182022
most citedOn Few Shot Learning of Dynamical Systems: A Koopman Operator Theoretic Approach

6 citations · 10 across the 7 of their papers we have counts for

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math.DS2021

Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis

Sai Pushpak Nandanoori, Subhrajit Sinha, Enoch Yeung

This paper uses data-driven operator theoretic approaches to explore the global phase space of a dynamical system. We defined conditions for discovering new invariant subspaces in…

math.DS20216 cited

On Few Shot Learning of Dynamical Systems: A Koopman Operator Theoretic Approach

Subhrajit Sinha, Umesh Vaidya, Enoch Yeung

In this paper, we propose a novel algorithm for learning the Koopman operator of a dynamical system from a \textit{small} amount of training data. In many applications of data-driv…

math.DS2020

Koopman Operator Methods for Global Phase Space Exploration of Equivariant Dynamical Systems

Subhrajit Sinha, Sai P. Nandanoori, Enoch Yeung

In this paper, we develop the Koopman operator theory for dynamical systems with symmetry. In particular, we investigate how the Koopman operator and eigenfunctions behave under th…

math.DS2019

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…

math.DS2019

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…

math.DS2019

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…