159 citations · 234 across the 10 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…
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…