
Analyzing crosstalk between superimposed signals: Vector norm dependent hidden Markov models and applications
We propose and investigate a hidden Markov model (HMM) for the analysis ...
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Diffusion Means and Heat Kernel on Manifolds
We introduce diffusion means as location statistics on manifold data spa...
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Clustering Schemes on the Torus with Application to RNA Clashes
Molecular structures of RNA molecules reconstructed from Xray crystallo...
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Finite Sample Smeariness on Spheres
Finite Sample Smeariness (FSS) has been recently discovered. It means th...
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Testing for Uniqueness of Estimators
Uniqueness of the population value of an estimated descriptor is a stand...
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Finite Sample Smeariness of Fréchet Means and Application to Climate
Fréchet means on manifolds are minimizers of expected squared distance, ...
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Stability of the Cut Locus and a Central Limit Theorem for Fréchet Means of Riemannian Manifolds
We obtain a Central Limit Theorem for closed Riemannian manifolds, clari...
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Measure Dependent Asymptotic Rate of the Mean: Geometrical Smeariness
The central limit theorem (CLT) for the mean in Euclidean space features...
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Measure Dependent Asymptotic Rate of the Mean: Geometrical and Topological Smeariness
We revisit the generalized central limit theorem (CLT) for the Fréchet m...
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A Smeary Central Limit Theorem for Manifolds with Application to High Dimensional Spheres
The (CLT) central limit theorems for generalized Frechet means (data des...
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The Filament Sensor for Near RealTime Detection of Cytoskeletal Fiber Structures
A reliable extraction of filament data from microscopic images is of hig...
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Benjamin Eltzner
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