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对数正态分布双变点的DL-MCMC混合检测框架OA

A Hybrid DL-MCMC Framework for Double Change-Point Detection in Lognormal Distributions

中文摘要英文摘要

对数正态分布变点检测在金融、工业监控和生物医学等领域具有重要应用价值,但传统马尔可夫链蒙特卡罗(Markov Chain Monte Carlo,MCMC)方法因参数初始化敏感和收敛速度慢等问题,限制了其实际性能.本文提出一种创新的混合检测框架——DL-MCMC混合检测框架,结合一维卷积神经网络(convolutional neu-ral networks,CNN)和双向长短期记忆网络(Bidirectional Long Short-Term Mem-ory,BiLSTM)的时序特征提取能力,与MCMC的统计推断优势,优化阶段采用自适应窗宽Metropolis-Hastings(M-H)算法动态调整采样范围,实现对双变点的高效、准确检测.实验结果表明,该框架有效解决了传统MCMC方法对参数初始值敏感的问题,为复杂时序数据的多变点分析提供了新思路.

Change-point detection in lognormal distributions holds significant application value in fields such as finance,industrial monitoring,and biomedicine.However,traditional Markov Chain Monte Carlo(MCMC)methods suffer from issues such as sensitivity to parameter initialization and slow convergence,which limit their practical performance.This paper proposes an innovative hybrid detection framework—the Deep Learning-MCMC(DL-MCMC)hybrid detection framework.It combines the temporal feature extraction capabilities of one-dimensional convolutional neural networks(CNN)and bidirectional long short-term memory networks(BiLSTM)with the statistical inference advantages of MCMC.In the optimization stage,a Metropolis-Hastings(M-H)algorithm with adaptive window width is employed to dynamically adjust the sampling range,enabling efficient and accurate detection of double change-points.Experimental results demonstrate that the proposed framework effectively addresses the sensitivity of traditional MCMC to initial parameter values,providing a new approach for multiple change-point analysis in complex time-series data.

杨玉华

广州应用科技学院 计算机学院,广东 肇庆 526070

数理科学

对数正态分布双变点检测DL-MCMC混合检测框架

Lognormal distributionDouble change-point detectionDL-MCMC hybrid detection framework

《广西民族大学学报(自然科学版)》 2026 (1)

60-65,6

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