76 citations · 122 across the 4 of their papers we have counts for
4 papers
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…
Nonlinear Kalman Filtering for Censored Observations
Joseph Arthur, Adam Attarian, Franz Hamilton +1
The use of Kalman filtering, as well as its nonlinear extensions, for the estimation of system variables and parameters has played a pivotal role in many fields of scientific inqui…
Hybrid modeling and prediction of dynamical systems
Franz Hamilton, Alun Lloyd, Kevin Flores
Scientific analysis often relies on the ability to make accurate predictions of a system's dynamics. Mechanistic models, parameterized by a number of unknown parameters, are often…
Kalman-Takens filtering in the presence of dynamical noise
Franz Hamilton, Tyrus Berry, Timothy Sauer
The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman f…