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一种用于废水处理的机器学习方法:高斯过程回归和蒙特卡罗分析。

A machine learning approach to wastewater treatment: Gaussian process regression and Monte Carlo analysis.

作者信息

Nadeem Nimra, Khaliq Zubair, Bentalib Abdulaziz, Qadir Muhammad Bilal, Ahmad Fayyaz, Shahzad Muhammad Wakil, Jumah Abdulrahman Bin

机构信息

Department of Textile Engineering, National Textile University Faisalabad 37610 Pakistan.

Innovative Nanomaterials, Textiles and AI Solutions Research Group, National Textile University Faisalabad 37610 Pakistan.

出版信息

Nanoscale Adv. 2025 May 28;7(14):4436-4449. doi: 10.1039/d4na01064g. eCollection 2025 Jul 10.

Abstract

This study aimed to analyze the application of Gaussian Process Regression (GPR) modeling to improve the accuracy of degradation response predictions in wastewater treatment. Three crucial factors, , catalyst (CFA-ZnF), oxidant (HO), and pollutant (MB) concentration, were selected to evaluate their impact on the response variable (degradation) using the GPR model. The range of factors was 5-15 mg/100 mL for CFA-ZnF, 5-15 mM for HO, and 5-15 ppm for MB concentration. The GPR model predicted the pairwise correlations of CFA-ZnF (0.4499, = 0.0465) and HO (0.4543, = 0.0442) with degradation, which are moderately positive, while MB showed a weak negative correlation (-0.1686, = 0.4774). Partial correlations also indicated strong positive correlations with degradation for CFA-ZnF (0.5143, = 0.0290) and HO (0.5180, = 0.0277). The superiority of the GPR model was validated by comparing the Gaussian Process Regression Mean (RPAE value) of 0.92689 with the Polynomial Regression Mean (RPAE value of 2.2947). Besides, the simultaneous interpretation of the effects of the three predictors on the response variable was enabled using the GPR model, which is impossible when interpreting the polynomial regression model. Therefore, the GPR offers superior modeling, deeper insights, and reliable predictions, proving it to be a more sustainable and effective method for pollutant degradation in wastewater treatment than polynomial modeling.

摘要

本研究旨在分析高斯过程回归(GPR)模型在提高废水处理中降解反应预测准确性方面的应用。选择了三个关键因素,即催化剂(CFA-ZnF)、氧化剂(HO)和污染物(MB)浓度,使用GPR模型评估它们对响应变量(降解)的影响。各因素的范围为:CFA-ZnF为5 - 15 mg/100 mL,HO为5 - 15 mM,MB浓度为5 - 15 ppm。GPR模型预测CFA-ZnF(0.4499,P = 0.0465)和HO(0.4543,P = 0.0442)与降解之间为中度正相关,而MB显示出弱负相关(-0.1686,P = 0.4774)。偏相关也表明CFA-ZnF(0.5143,P = 0.0290)和HO(0.5180,P = 0.0277)与降解呈强正相关。通过比较高斯过程回归均值(RPAE值为0.92689)和多项式回归均值(RPAE值为2.2947),验证了GPR模型的优越性。此外,使用GPR模型能够同时解释三个预测变量对响应变量的影响,而在解释多项式回归模型时则无法做到。因此,GPR提供了更优的建模、更深入的见解和可靠的预测,证明它是一种比多项式建模更具可持续性和有效性的废水处理中污染物降解方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c6b/12242782/ee1602979c60/d4na01064g-f1.jpg

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