Approximate computation of projection depths
From MaRDI portal
Publication:830503
DOI10.1016/j.csda.2020.107166OpenAlexW3120689222MaRDI QIDQ830503
Rainer Dyckerhoff, Stanislav Nagy, Pavlo Mozharovskyi
Publication date: 7 May 2021
Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.08016
simulated annealingprojection propertynon-convex optimizationunit sphererandom searchNelder-Meaddata depthapproximate computationcoordinate descentgrid searchgreat circles
Related Items (2)
Tukey Depths and Hamilton--Jacobi Differential Equations ⋮ Affine invariant integrated rank-weighted statistical depth: properties and finite sample analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On robust classification using projection depth
- Group actions and curvature
- Computing projection depth and its associated estimators
- On a notion of data depth based on random simplices
- The random Tukey depth
- Breakdown properties of location estimates based on halfspace depth and projected outlyingness
- The densest hemisphere problem
- Zonoid trimming for multivariate distributions
- Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
- Exact computation of the halfspace depth
- Skewness-based projection pursuit: a computational approach
- General notions of statistical depth function.
- Comparison between various regression depth methods and the support vector machine to approximate the minimum number of misclassifications
- The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
- Simulated annealing for higher dimensional projection depth
- Absolute approximation of Tukey depth: theory and experiments
- Uniform convergence rates for the approximated halfspace and projection depth
- Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems
- Classifying real-world data with the \(DD\alpha\)-procedure
- Data depths satisfying the projection property
- How to conjugate C\(^1\)-close group actions
- Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
- Robustness and Complex Data Structures
- A Simplex Method for Function Minimization
This page was built for publication: Approximate computation of projection depths