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math.DS2026
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…
math.DS2026
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…