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填补PM2.5时间序列中的空白:从统计到高级神经网络模型的广泛评估

Ruslan Safarov1,2, Zhanat Shomanova3, Yuriy Nossenko3

  • 1Department of Chemistry, Faculty of Natural Sciences, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan.

PloS one
|August 14, 2025
PubMed
概括

这项研究引入了先进的方法来填补空气质量数据的空白,大大改善了PM2.5时间序列分析. 动态模型为环境监测和公共卫生洞察提供了强大的解决方案.

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Linear Approximations01:23

Linear Approximations

For a differentiable function of two variables, linear approximation estimates values near a known point by replacing the curved surface with its tangent plane. Consider the function\begin{equation*}f(x,y)=x^2+3y^2\end{equation*}near the point (2, 1). The exact value at this point is f(2, 1) = 22 + 3(1)2 = 4 + 3 = 7.The linear approximation of f(x, y)) near (a, b) is\begin{equation*}L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)\end{equation*}First, compute the partial derivatives: fx(x, y) = 2x and...