109 citations · 243 across the 25 of their papers we have counts for
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physics.data-an2016★ 34 cited
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…
stat.ME2016
Correcting biased observation model error in data assimilation
John Harlim, Tyrus Berry
While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A prac…
math.CA2016
Consistent Manifold Representation for Topological Data Analysis
Tyrus Berry, Timothy Sauer
For data sampled from an arbitrary density on a manifold embedded in Euclidean space, the Continuous k-Nearest Neighbors (CkNN) graph construction is introduced. It is shown that C…