scientific article; zbMATH DE number 7415094
From MaRDI portal
Publication:5159423
Publication date: 27 October 2021
Full work available at URL: https://arxiv.org/abs/2010.00636
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
rate of convergencemetric spaceerror probabilityuniversal consistencymulticlass classification\(k\)-nearest-neighbor ruleprototype nearest-neighbor rule
Related Items
Re-thinking high-dimensional mathematical statistics. Abstracts from the workshop held May 15--21, 2022, Universal regression with adversarial responses
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification in general finite dimensional spaces with the \(k\)-nearest neighbor rule
- Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables
- A tree-based regressor that adapts to intrinsic dimension
- Counter example to the Besicovitch covering property for some Carnot groups equipped with their Carnot-Carathéodory metric
- Optimal weighted nearest neighbour classifiers
- On the kernel rule for function classification
- Lectures on the nearest neighbor method
- Fast learning rates for plug-in classifiers
- Rate of uniform consistency for nonparametric estimates with functional variables
- Exponential bounds of mean error for the nearest neighbor estimates of regression functions
- Consistent nonparametric regression. Discussion
- On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
- Smooth discrimination analysis
- Lectures on analysis on metric spaces
- Improved classification rates under refined margin conditions
- Optimal aggregation of classifiers in statistical learning.
- Lower bound in regression for functional data by representation of small ball probabilities
- A nearest neighbor characterization of Lebesgue points in metric measure spaces
- Universal Bayes consistency in metric spaces
- Nonparametric functional data analysis. Theory and practice.
- Consistent Nonparametric Regression for Functional Data Under the Stone–Besicovitch Conditions
- Functional Classification in Hilbert Spaces
- On the Asymptotic Properties of a Nonparametric<tex>$L_1$</tex>-Test Statistic of Homogeneity
- On the Rate of Convergence of Local Averaging Plug-In Classification Rules Under a Margin Condition
- k-Nearest Neighbour method in functional nonparametric regression
- The rate of convergence of<tex>k_n</tex>-NN regression estimates and classification rules (Corresp.)
- Nonparametric modelling for functional data: selected survey and tracks for future
- Vitali covering theorem in Hilbert space
- Rates of convergence of nearest neighbor estimation under arbitrary sampling
- An adaptive multiclass nearest neighbor classifier
- Universal consistency of the k-NN rule in metric spaces and Nagata dimension
- Rates of Convergence of the Functional $k$-Nearest Neighbor Estimate
- Nearest neighbor classification in infinite dimension
- Nearest neighbor pattern classification