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math.DS2018
Limits on reconstruction of dynamical networks
Jiajing Guan, Tyrus Berry, Timothy Sauer
An observability condition number is defined for physical systems modeled by network dynamics. Assuming the dynamical equations of the network are known and a noisy trajectory is o…
math.DS2018
Correcting Observation Model Error in Data Assimilation
Franz Hamilton, Tyrus Berry, Timothy Sauer
Standard methods of data assimilation assume prior knowledge of a model that describes the system dynamics and an observation function that maps the model state to a predicted outp…