基于信息偏差加权和CNN-Transformer模型的动态光散射反演
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1.山东理工大学山东省新型配用电技术与装备重点实验室淄博255049; 2.山东理工大学电气与电子工程学院淄博255049

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TN247

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山东省自然科学基金(ZR2024MD031, ZR2021QD026)项目资助


Dynamic light scattering inversion based on information bias weighting and CNN-transformer model
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1.Shandong Provincial Key Laboratory of New Power Distribution & Utilization Technology and Equipment, Shandong University of Technology, Zibo 255049, China; 2.School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo 255049, China

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    摘要:

    神经网络在动态光散射反演领域展现出一定的优越性。然而,不同的训练样本及网络模型会影响反演结果的鲁棒性和精度。为了解决该问题,提出了一种结合信息偏差加权(information bias weighting,IBW)、卷积神经网络(convolutional neural network,CNN)和Transformer编码器的反演方法(CNN-Transformer)。该方法构建了“训练样本生成局部特征提取-全局依赖建模”的3层框架,以IBW反演的粒度分布(particle size distribution,PSD)作为先验信息生成可靠的训练样本,并通过CNN-Transformer模型提取电场自相关函数的局部特征,进行全局依赖建模,获得准确的PSD。4种不同宽度的模拟数据反演结果表明,与Tikhonov-PGRNN和IBW相比,对于不同颗粒系,CNN-Transformer反演结果具有更高的精度、更强的抗噪能力及更优的双峰分辨能力。实验数据反演验证了模拟数据的结论。对于100、203、555 nm单峰颗粒和33 nm/203 nm、300 nm/502 nm双峰颗粒,CNN-Transformer的峰值位置误差分别为0、1.48%、0.90%和2.42%/0.06%、1.27%/0.86%,优于Tikhonov-PGRNN和IBW的反演结果。

    Abstract:

    Neural network shows certain superiority in the field of dynamic light scattering inversion. However, the robustness and accuracy of the inversion results can be influenced by different training samples and network models. To solve this problem, an inversion method combining information bias weighting (IBW), convolutional neural network (CNN), and Transformer encoder (CNN-Transformer) is proposed. This method establishes a three-layer framework consisting of training sample generation, local feature extraction, and global dependency modeling. It uses the particle size distribution (PSD) obtained from IBW inversion as prior information to generate reliable training samples and utilizes the CNN-Transformer model to extract local features of the electric field autocorrelation function and perform global dependency modeling, thereby achieving an accurate PSD. The inversion results of simulated data with four different widths indicate that, compared with Tikhonov-PGRNN and IBW, the CNN-Transformer method achieves higher accuracy, stronger noise resistance, and better bimodal resolution for different particle systems. The experimental data inversion further validates the conclusions drawn from the simulated data. The peak position errors of 100, 203, 555 nm unimodal and 33 nm/203 nm, 300 nm/502 nm bimodal particle systems inverted by CNN-Transformer are 0, 1.48%, 0.90%, and 2.42%/0.06%, 1.27%/0.86% respectively, which are better than the inversion results of Tikhonov-PGRNN and IBW.

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杨光宇,邢雪宁,王雅静,申晋,刘伟,明虎,马龙飞,张琪.基于信息偏差加权和CNN-Transformer模型的动态光散射反演[J].电子测量与仪器学报,2026,40(8):251-265

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