23 citations · 60 across the 19 of their papers we have counts for
27 papers
A Quantum Optimization Framework for Data-Assimilation-Augmented Parameter Estimation
Muhammad Jalil Ahmad, Mohammadhossein Mohammadisiahroudi, Animikh Biswas +1
Parameter estimation is a fundamental challenge in the calibration of ordinary differential equation (ODE) models, where repeated numerical integration can lead to high computation…
Data Assimilation for Chemical Reaction Networks and Population Models via a Tunable Observer
Animikh Biswas, Gargi Chaudhuri, Muruhan Rathinam
We consider the problem of state reconstruction for a nonlinear dynamical system from observations of a linear function of the state. We present a design method for a tunable obser…
A Data-Assimilation-Augmented Optimization Framework for Parameter Estimation in Dynamical Systems
Muhammad Jalil Ahmad, Animikh Biswas, Kathleen Hoffman
Parameter estimation in nonlinear dynamical systems from observational data is a fundamental inverse problem with applications in many disciplines. In practice, this is further com…
Reformulation and Interpretation of the Regularity Criterion for 3D NSE Based on Finitely Many Observations
Abhishek Balakrishna, Animikh Biswas
We revisit and sharpen a recent observable regularity criterion for the three-dimensional Navier-Stokes equations on the periodic cube by requiring only finitely many measurements…
A unified framework for the analysis of accuracy and stability of a class of approximate Gaussian filters for the Navier-Stokes Equations
Animikh Biswas, Michal Branicki
Bayesian state estimation of a dynamical system utilising a stream of noisy measurements is important in many geophysical and engineering applications. We establish rigorous result…
A Novel Regularity Criterion For The three-dimensional Navier-Stokes Equations Based On Finitely many observations
Abhishek Balakrishna, Animikh Biswas
In this paper we present two results: (1) A data assimilation algorithm for the 3D Navier-Stokes equation (3D NSE) using nodal data, and, as a consequence (2) a novel regularity cr…