在基于虚拟样本生成和高斯过程回归的有限监测数据的情况下,改善地下水质量的预测
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Updated: Jun 11, 2025

Continuous Hydrologic and Water Quality Monitoring of Vernal Ponds
Published on: November 13, 2017
Jiang Zhang1, Changlai Xiao1, Weifei Yang1
1Key Laboratory of Groundwater Resources and Environment, Ministry of Education, Jilin University Changchun 130021, China; Jilin Provincial Key Laboratory of Water Resources and Environment, Jilin University Changchun 130021, China; College of New Energy and Environment, Jilin University, Changchun 130021, China; National-Local Joint Engineering Laboratory of In-Situ Conversion, Drilling and Exploitation Technology for Oil Shale, Changchun 130021, China.
虚拟样本生成增强了高斯过程回归,用于在有限数据的情况下预测水质. 以t分布式的随机近邻嵌入方法显著提高了预测水平的准确性.
科学领域:
- 环境科学 环境科学
- 数据科学数据科学数据科学
- 水文地质学 水文地质学
背景情况:
- 由于人类活动,水库污染威胁到饮用水的安全.
- 高斯过程回归 (GPR) 对水质监测有价值,但受到小样本问题的影响.
- 虚拟样本生成 (VSG) 技术旨在克服预测建模中的数据限制.
研究的目的:
- 通过使用有限的数据集,提高GPR用于水质预测的准确性.
- 为了比较三个VSG方法的有效性:MD-MTD,GAN和t-SNE.
- 为了评估在浅层含水层系统中 (Sr2+) 的预测准确性.
主要方法:
- 实施并比较了三个VSG技术:多分布式大趋势扩散 (MD-MTD),生成对抗网络 (GAN) 和t分布式随机近邻嵌入 (t-SNE).
- 应用这些方法来增强有限的数据集用于训练GPR模型.
- 使用R平方值和数据分布分析对 (Sr2+) 预测进行评估的GPR模型性能.
主要成果:
- t-SNE方法显著提高了GPR准确性,将R平方从0.86增加到0.99.
- MD-MTD和GAN也提高了准确性,分别达到0.95和0.92的R平方值.
- t-SNE-GPR显示出最高的预测准确度和最佳的数据波动处理,而GAN则有效地复制了数据分布.
结论:
- t-SNE是最有效的VSG方法,用于在水质数据有限的场景中提高GPR准确性.
- 虚拟样本的GPR性能增加到一个点 (在本研究中为258),之后的准确性可能会下降.
- 这些发现为加强水质管理和确保数据稀缺地区的饮用水安全提供了指导.
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