胡淑兰, 王雨生, 钱智勇, 王人和. 基于马尔可夫抽样的非线性分类模型的学习性能分析[J]. 应用概率统计, 2026, 42(1): 61-74. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024036
引用本文: 胡淑兰, 王雨生, 钱智勇, 王人和. 基于马尔可夫抽样的非线性分类模型的学习性能分析[J]. 应用概率统计, 2026, 42(1): 61-74. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024036
HU Shulan, WANG Yusheng, QIAN Zhiyong, WANG Renhe, . Learning Performance of Nonlinear Classification Models Based on Markov Sampling[J]. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 61-74.
Citation: HU Shulan, WANG Yusheng, QIAN Zhiyong, WANG Renhe, . Learning Performance of Nonlinear Classification Models Based on Markov Sampling[J]. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 61-74.

基于马尔可夫抽样的非线性分类模型的学习性能分析

Learning Performance of Nonlinear Classification Models Based on Markov Sampling

  • 摘要: 非线性分类模型由于其突出的处理复杂问题能力, 在各领域应用广泛. 本文在独立同分布样本的传统框架基础上, 研究了基于马尔可夫抽样的非线性分类模型的学习性能. 为此, 本研究引入了ueMC-NL算法, 在随机森林和MLP模型上的数值研究表明: 与独立同分布样本相比, 基于一致遍历马尔可夫链样本的非线性分类模型错误分类率更低.

     

    Abstract: Nonlinear classification models are widely used in various fields due to their excellent performance in handling complex problems. This paper investigates the learning performance of nonlinear classification models based on Markov sampling, which builds upon the traditional framework using i.i.d. samples. Subsequently, we introduce a ueMC-NL algorithm, tailored specifically for nonlinear classification models, facilitating the production of ueMC samples from a finite dataset. Numerical investigations on the random forest and the MLP model reveal that nonlinear classification models utilizing ueMC samples yield lower misclassification rates compared to i.i.d. samples.

     

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