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中国无机分析化学:2026,16(2):236-249
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基于便携式近红外光谱与径向基( RBF-KAN )网络的铝矾土中氧化铝含量快速检测
(1.中国检验认证集团河北有限公司;2.中国矿业大学 信息与控制工程学院)
Rapid Determination of Alumina Content in Bauxite by Portable Near-Infrared Spectroscopy Combined with RBF-KAN
Wu Zhifeng1,2, Ren Kelong3, Xu Zhibin1,4,4,2, Zuo Yuhao1,4,4,2, Lei Meng3
(1.China Certification &2.Inspection Group Hebei Co., Ltd.;3.School of Information and Control Engineering, China University of Mining and Technology;4.amp)
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投稿时间:2025-10-21     修订日期:2025-11-06     录用日期:2025-11-08     网络发布日期:2026-02-09
中文摘要: 铝矾土是生产氧化铝的重要原料,其氧化铝含量直接关系到矿石品位评价与冶炼效率控制。传统化学分析方法虽然精度较高,但操作过程繁琐、检测周期长且不具备现场快速分析的能力。近红外光谱技术因具有快速、无损、绿色等优势,为铝矾土成分定量检测提供了新的解决途径。然而,在便携式检测场景下,光源稳定性、信噪比及建模鲁棒性等问题仍制约着分析精度与模型可推广性。针对上述挑战,本文提出了一种便携式近红外光谱与径向基Kolmogorov-Arnold网络(RBF-KAN)结合的铝矾土氧化铝含量快速检测方法。该方法以标准正态变量变换削弱散射效应与样品差异带来的物理噪声,并基于Kolmogorov-Arnold表示定理构建光谱-氧化铝含量映射模型。模型采用径向基函数替代传统B样条基函数,通过可学习的中心与带宽参数自适应刻画光谱的局部非线性特征,同时在网络中引入L1正则化约束以增强稀疏性和关键波段聚焦能力。实验结果表明,所提出的RBF-KAN模型在五折交叉验证下的平均均方根误差为1.1338%,平均绝对误差为0.6506%,决定系数达到0.9414,显著优于支持向量回归、偏最小二乘回归等传统方法。权重可视化结果显示,模型在1435-1460 nm区间形成显著响应峰,对应O-H伸缩振动的一阶泛频吸收带,验证了其对羟基铝矿物结构特征的物理敏感性。研究表明,该方法能够在保持模型结构简洁与可解释性的同时,实现高精度、快速的氧化铝含量定量检测,为便携式近红外光谱在矿物资源现场分析与智能定量测定中的应用提供了新的技术思路和理论支撑。
Abstract:Bauxite is the primary raw material for alumina production, and its alumina content is a key indicator for evaluating ore grade and controlling smelting efficiency. Although conventional chemical analysis methods offer high accuracy, they involve complicated procedures, long detection cycles, and lack on-site analytical capability. Near-infrared (NIR) spectroscopy, characterized by rapid, non-destructive, and environmentally friendly measurement, provides a promising alternative for quantitative bauxite analysis. However, in portable detection scenarios, challenges such as light source instability, signal noise, and modeling robustness still restrict its analytical accuracy and generalizability. To address these issues, this study proposes a rapid alumina detection method by integrating portable NIR spectroscopy with a Radial Basis Function Kolmogorov-Arnold Network (RBF-KAN). A total of 778 bauxite samples from Australia, Guinea, Indonesia, and other major sources were analyzed. The alumina content, ranging from 38.54% to 57.66%, was determined following the YS/T 575.1–2007 standard. NIR spectra were acquired using a VIAVI MicroNIR Pro spectrometer covering 908.1-1676.2 nm at about 6 nm resolution. Each sample was scanned five times under constant geometry and averaged to minimize local mineral heterogeneity. To reduce baseline drift and scattering caused by grain size and moisture variation, standard normal variate preprocessing was applied before modeling. The proposed RBF-KAN model is developed based on the Kolmogorov-Arnold representation theorem, which decomposes multivariate nonlinear mappings into compositions of univariate functions. Unlike conventional KAN structures that employ B-spline functions, RBF-KAN replaces them with learnable radial basis functions whose centers and bandwidths are optimized during training, enabling adaptive characterization of localized nonlinear spectral responses. L1 regularization is further introduced to enhance sparsity and guide the model to focus on chemically relevant wavelengths. The model was trained using the RAdam optimizer with five-fold cross-validation. The predictive performance was comprehensively evaluated using four metrics: root mean square error (RMSE), mean absolute error (MAE), Pearson correlation coefficient (R), and coefficient of determination (R^2). Experimental results show that the RBF-KAN achieved an average RMSE of 1.1338%, MAE of 0.6506%, R of 0.9706, and R^2 of 0.9414, outperforming traditional models such as support vector regression, random forest, and partial least squares regression. Compared with classical deep learning networks (MLP, CNN, Transformer, and Unet variants), RBF-KAN achieved higher accuracy with only 10,840 parameters, reflecting its structural efficiency. Ablation studies further confirmed that applying SNV preprocessing reduced the RMSE by 35.5%, replacing the B-spline with RBF increased the R^2 by 1.5%, and incorporating L1 regularization improved feature sparsity and enhanced the model’s robustness across different data partitions. Visualization of the first-layer weights revealed a distinct activation peak at 1434.62-1459.40 nm, corresponding to the first overtone of O-H stretching vibration. This band corresponds to the Al-OH stretching overtone in hydroxyl-bearing aluminosilicate minerals, indicating that the model captures physically meaningful spectral features. Overall, the proposed RBF-KAN framework effectively integrates the interpretability of functional decomposition with the adaptiveness of radial basis mapping. It achieves high-precision and physically interpretable alumina quantification from portable NIR spectra. The method offers a reliable and efficient approach for on-site mineral analysis and provides a theoretical foundation for intelligent, field-deployable quantitative assessment in the aluminum industry.
文章编号:     中图分类号:O657.33 TP274    文献标志码:
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)(62473368),中国中检河北公司研发项目(2025ZJHBYF004-1)
武治峰  任柯龙  徐志彬  左玉昊  雷萌
中国检验认证集团河北有限公司,中国矿业大学 信息与控制工程学院,中国检验认证集团河北有限公司,中国检验认证集团河北有限公司,中国矿业大学 信息与控制工程学院
Wu Zhifeng  Ren Kelong  Xu Zhibin  Zuo Yuhao  Lei Meng
China Certification &Inspection Group Hebei Co, Ltd,School of Information and Control Engineering, China University of Mining and Technology,China Certification &Inspection Group Hebei Co, Ltd,China Certification &Inspection Group Hebei Co, Ltd,School of Information and Control Engineering, China University of Mining and Technology
引用文本:
武治峰,任柯龙,徐志彬,左玉昊,雷萌.基于便携式近红外光谱与径向基( RBF-KAN )网络的铝矾土中氧化铝含量快速检测[J].中国无机分析化学,2026,16(2):236-249.
Wu Zhifeng,Ren Kelong,Xu Zhibin,Zuo Yuhao,Lei Meng.Rapid Determination of Alumina Content in Bauxite by Portable Near-Infrared Spectroscopy Combined with RBF-KAN[J].Chinese Journal of Inorganic Analytical Chemistry,2026,16(2):236-249.

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