69 citations · 168 across the 17 of their papers we have counts for
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math.DS2023
Computation of covariant lyapunov vectors using data assimilation
Shashank Kumar Roy, Amit Apte
Computing Lyapunov vectors from partial and noisy observations is a challenging problem. We propose a method using data assimilation to approximate the Lyapunov vectors using the e…
eess.SY2023
Variability of echo state network prediction horizon for partially observed dynamical systems
Ajit Mahata, Reetish Padhi, Amit Apte
Study of dynamical systems using partial state observation is an important problem due to its applicability to many real-world systems. We address the problem by studying an echo s…
math.AP2023★ 1 cited
Learning zeros of Fokker-Planck operators
Pinak Mandal, Amit Apte
In this paper we devise a deep learning algorithm to find non-trivial zeros of Fokker-Planck operators when the drift is non-solenoidal. We demonstrate the efficacy of our algorith…