Transfer learning for nonparametric classification: minimax rate and adaptive classifier

DOI10.1214/20-AOS1949zbMath1466.62351arXiv1906.02903MaRDI QIDQ2656589

Yanyan Li

Publication date: 11 March 2021

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02903

zbMATH Keywords

classificationadaptivityminimax ratetransfer learningdomain adaptation

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of statistics to social sciences (62P25) Minimax procedures in statistical decision theory (62C20)

Related Items (14)

Robust transfer learning of high-dimensional generalized linear model ⋮ Transfer Learning in Large-Scale Gaussian Graphical Models with False Discovery Rate Control ⋮ Targeting underrepresented populations in precision medicine: a federated transfer learning approach ⋮ Deep neural network classifier for multidimensional functional data ⋮ Distributed adaptive nearest neighbor classifier: algorithm and theory ⋮ Optimally tackling covariate shift in RKHS-based nonparametric regression ⋮ Accommodating Time-Varying Heterogeneity in Risk Estimation under the Cox Model: A Transfer Learning Approach ⋮ Transfer learning for contextual multi-armed bandits ⋮ Transfer Learning under High-dimensional Generalized Linear Models ⋮ Marginal singularity and the benefits of labels in covariate-shift ⋮ Adaptive transfer learning ⋮ Tnn: a transfer learning classifier based on weighted nearest neighbors ⋮ Statistical learning from biased training samples ⋮ A no-free-lunch theorem for multitask learning

Uses Software

• OpenStreetMap

Cites Work

• Unnamed Item
• Unnamed Item
• Classification in general finite dimensional spaces with the \(k\)-nearest neighbor rule
• Optimal weighted nearest neighbour classifiers
• Fast learning rates for plug-in classifiers
• Optimal pointwise adaptive methods in nonparametric estimation
• Improving predictive inference under covariate shift by weighting the log-likelihood function
• Optimal aggregation of classifiers in statistical learning.
• Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
• On the rate of convergence of nearest neighbor rules (Corresp.)
• Asymptotically Minimax Adaptive Estimation. II. Schemes without Optimal Adaptation: Adaptive Estimators
• On a Problem of Adaptive Estimation in Gaussian White Noise
• A survey on concept drift adaptation
• Nearest neighbor pattern classification

This page was built for publication: Transfer learning for nonparametric classification: minimax rate and adaptive classifier