使用PLVCSAR模型对空间数据进行模拟,使用异质度模型:贝叶斯量子回归方法
Rongshang Chen1,2, Zhiyong Chen3,4
1School of Computer and Information Engineering, Xiamen University of Technology, Xiamen 361024, China.
Entropy (Basel, Switzerland)
|July 29, 2025
概括
本研究引入了空间数据的贝叶斯定量回归模型,增强了智能城市的性能预测. 这种新的方法通过在不同的数据量中准确地捕获复杂的共同变量效应来改善决策.
科学领域:
- 空间统计的空间统计.
- 计量经济学 计量经济学
- 城市分析城市分析.
背景情况:
- 智慧城市依靠空间数据做出明智决策.
- 现有的模型可能无法完全捕捉复杂的空间关系和性能变化.
研究的目的:
- 为改进空间数据分析开发先进的统计模型.
- 用贝叶斯定量回归来增强智能城市应用中的性能预测.
- 为了捕捉不同量级的协变量的线性和非线性效应.
主要方法:
- 贝叶斯定量回归 (BQR) 的应用,用于部分线性变系空间自回归 (PLVCSAR) 模型.
- 使用自由节点线的非参数函数的近似计算.
- 通过马尔科夫链蒙特卡洛 (MCMC) 开发贝叶斯抽样方法,包括在吉布斯算法中高效的Metropolis-Hastings算法.
- 实现一个修改的可逆跳转MCMC算法,以提高计算效率.
主要成果:
- 拟议的BQR-PLVCSAR模型证明了对不同空间重量矩阵的稳定性.
- 该模型在有限样本模拟中表现优于传统的量子位回归 (QR) 和仪器变量量子位回归 (IVQR).
- 这样可以准确地预测各种量子的性能.
结论:
- 开发的贝叶斯定量回归模型为空间数据分析提供了重大进步.
- 该方法为改善智能城市环境中的性能预测提供了强大而高效的工具.
- 该模型的有效性是使用现实世界的波士顿住房价格数据来验证的.
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