69 citations · 168 across the 17 of their papers we have counts for
17 papers
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…
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…
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…
Effects of equatorially-confined shear flow on MRG and Rossby waves
Mukesh Singh Raghav, Sharath Jose, Amit Apte +1
Linear modal stability analysis of a mean zonal shear flow is carried out in the framework of rotating shallow water equations (RSWE), both under the -plane approximation and in…
Probing robustness of nonlinear filter stability numerically using Sinkhorn divergence
Pinak Mandal, Shashank Kumar Roy, Amit Apte
Using the recently developed Sinkhorn algorithm for approximating the Wasserstein distance between probability distributions represented by Monte Carlo samples, we demonstrate expo…
Some Large Deviations Asymptotics in Small Noise Filtering Problems
Anugu Sumith Reddy, Amarjit Budhiraja, Amit Apte
We consider nonlinear filters for diffusion processes when the observation and signal noises are small and of the same order. As the noise intensities approach zero, the nonlinear…