首页|期刊导航|吉首大学学报(自然科学版)|基于一致遍历马氏链样本的分布式Huber回归算法的泛化性

基于一致遍历马氏链样本的分布式Huber回归算法的泛化性OA

Generalization of Distributed Huber Regression Algorithms with Uniformly Ergodic Markov Chain Samples

中文摘要英文摘要

讨论了基于一致遍历马氏链样本的分布式 Huber回归算法的泛化性.建立了基于一致遍历马氏链样本的分布式 Huber回归算法,并采用统计学习理论方法,推导出该算法的收敛速率和泛化界,证明了在非独立同分布样本的假设下算法具有较快的收敛速率.

This paper investigates the generalization performance of distributed Huber regression with samples generated from uniformly ergodic Markov chains.We first construct a distributed Huber regres-sion algorithm applicable to uniformly ergodic Markov chain samples.Relying on statistical learning the-ory,we further derive the convergence rates and generalization bounds for the proposed distributed Hu-ber regression with Markov chain sampling.Theoretical proofs demonstrate that the distributed Huber regression algorithm achieves a fast convergence rate even in the non-independent and identically distrib-uted(non-i.i.d.)sample setting.

李珂;姜宏伟

沈阳工业大学理学院,辽宁 沈阳 110870沈阳工业大学理学院,辽宁 沈阳 110870

生物科学

分布式Huber回归算法一致遍历马氏链样本收敛速率

distributedhuber regression algorithmuniformly ergodic Markov chain samplesconvergence rates

《吉首大学学报(自然科学版)》 2026 (4)

11-18,8

国家自然科学基金资助项目(42171351)

10.13438/j.cnki.jdzk.2026.04.003

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