基于图像混合核的列生成PM2.5预测

Column-generation PM2.5 prediction based on image mixture kernel

  • 摘要: 传统PM2.5预测方法获取污染物浓度数据需要大型精密仪器,成本较高。本文尝试利用图像数据进行PM2.5浓度预测。大气PM2.5浓度的变化与图像的暗通道强度、对比度和HSI(Hue-saturation-intensity)颜色差异有密切联系。大气中PM2.5浓度的升高会导致非天空区域的暗通道强度值下降,图像对比度下降和HSI空间颜色差异变小。通过分析PM2.5浓度与图像特征的关系,提出了一种基于图像混合核的列生成空气质量PM2.5预测模型。首先,以1 h为采样周期,每日8:00~17:00为采样范围,采集多种天气条件下的景物图像,提取图像的对比度、暗通道强度和HSI颜色差异共5个图像特征。其次,数据存在样本规模大、样本不平坦分布等特点,单个核函数构成的预测模型难以满足预测精度需求,因此本文按照核结构从简单到复杂的原则,选择线性核函数、多项式核函数和高斯核函数三种核函数建立组合模型。然后计算每个核基于训练样本的Gram矩阵,并将所有Gram矩阵并列成一个混合核矩阵。利用列生成算法和混合核矩阵建立预测模型,求解模型参数。最后,进行仿真实验,实验结果表明本文提出的可满足预测精度要求,与单核预测模型相比,该预测模型预测精度更高,模型稳定性更好。计算复杂度分析结果显示基于图像混合核的列生成模型与单核预测模型相比计算量无明显增加。

     

    Abstract: The conventional method of PM2.5 prediction requires high-precision instruments to obtain data on the concentration of pollutants, resulting in a high prediction costs. In this work, we attempt to use image data to estimate PM2.5 concentration. The concentration of atmospheric PM2.5 is closely linked to the image’s dark channel intensity, contrast, and color difference of HSI. The increase in atmospheric PM2.5 concentration leads to a decrease in the non-sky area dark channel intensity, image contrast, and HSI spatial color difference. In this paper, a Column-Generation PM2.5 prediction model based on image mixture kernel was proposed by analyzing the relationship between PM2.5 and image features. First, the sampling period was taken as 1 h, and 8:00–17:00 was taken as the sampling range daily. The scene images were recorded in different weather conditions, and five image features were extracted, including contrast, dark channel intensity, and HSI color difference. Secondly, the image data has the characteristics of large sample size and uneven distribution, and the prediction model consists of a single kernel function, which makes it difficult to meet the prediction accuracy requirement. Therefore, the linear kernel function, polynomial kernel function, and Gauss kernel function were chosen to construct a composite model according to the concept of kernel structure from simple to complex. Then each kernel's Gram matrix was calculated based on training samples, and all gram matrices were placed into a mixture kernel matrix. Using the column generation algorithm and mixture kernel matrix, the prediction model was developed and the parameters of the model were solved. Finally, simulation experiments were performed; the results show that the prediction model based on the image mixture kernel of Column-Generation PM2.5 can meet the prediction accuracy requirements. The model has higher prediction accuracy and better model stability in comparison with the single-kernel prediction model. A computational complexity analysis shows that the prediction model based on the image mixture kernel of column-generation PM2.5 has no significant increase in computational complexity in comparison with the one-kernel prediction model.

     

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