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Nonnegative least-squares truncated singular value decomposition to particle size distribution inversion from dynamic light scattering data

机译:从动态光散射数据将非负最小二乘截断奇异值分解为粒度分布反演

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摘要

The weak symmetry relationship between the relative error and solution norm holds in our developed nonnegative least-squares truncated singular value decomposition method. By using this relationship to specify the optimal regularization parameters, we applied the proposed algorithm to recover particle size distribution from dynamic light scattering (DLS) data. Simulated results and experimental validity demonstrate that the proposed method, which compliments the CONTIN algorithm, might serve as a powerful and simple approach to the inverse problem in DLS.
机译:在我们开发的非负最小二乘截断奇异值分解方法中,相对误差与解范数之间的弱对称关系成立。通过使用这种关系来指定最佳正则化参数,我们将所提出的算法应用于从动态光散射(DLS)数据中恢复粒度分布。仿真结果和实验有效性证明,所提出的方法是对CONTIN算法的补充,可能是解决DLS中反问题的有力且简单的方法。

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