The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation
From MaRDI portal
Publication:726734
DOI10.3150/15-BEJ722zbMath1349.62195arXiv1404.3300OpenAlexW3102909657WikidataQ58883941 ScholiaQ58883941MaRDI QIDQ726734
Florian Rehfeldt, Axel Munk, Max Sommerfeld, Carina Wollnik, Joachim Weickert, Kwang-Rae Kim, Stephan F. Huckemann
Publication date: 14 July 2016
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.3300
circular datamode huntingvariation diminishingstem cell differentiationcircular scale spacesmultiscale processpersistence inferencewrapped Gaussian kernel estimator
Directional data; spatial statistics (62H11) Density estimation (62G07) Applications of statistics to biology and medical sciences; meta analysis (62P10)
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Cites Work
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- Confidence sets for persistence diagrams
- Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features
- Multiple testing of local maxima for detection of peaks in 1D
- Linear scale-space has first been proposed in Japan
- Stability of persistence diagrams
- Multiscale inference about a density
- Automatic bandwidth selection for circular density estimation
- The dip test of unimodality
- Axioms and fundamental equations of image processing
- Nonparametric testing of the existence of modes
- Mode testing in difficult cases
- Bump hunting with non-Gaussian kernels
- Scale space view of curve estimation.
- Multiscale testing of qualitative hypotheses
- Topological persistence and simplification
- Densities, spectral densities and modality.
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Investigating the multimodality of multivariate data with principal curves
- Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space
- Multiple testing of local maxima for detection of peaks in ChIP-Seq data
- A statistical approach to persistent homology
- On variation diminishing transformations on the circle
- Mode testing via the excess mass estimate
- Une caractérisation abstraite des opérateurs différentiels.
- Excess Mass Estimates and Tests for Multimodality
- Topology and data
- Uniqueness of the Gaussian Kernel for Scale-Space Filtering
- Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data
- Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications
- One-Parameter Semigroups for Linear Evolution Equations
- SiZer for Exploration of Structures in Curves
- Topological Analysis of Variance and the Maxillary Complex
- Principal Flows
- Barcodes: The persistent topology of data
- Optimal inference for circular variation diminishing experiments with applications to the von-Mises distribution and the Fisher-Efron parabola model.