Abstract
We previously developed two NMF algorithms (QL1-NMF1 and QL1-NMF2) using the quasi-L1 norm for analyzing environmental ELF magnetic field measurements. When the data included many outliers, the QL1-NMF algorithms returned better results than other BSS algorithms using the L1 norm. However, the derivative of the cost function in QL1-NMF1 was not based on a monotonically increasing function. This problem decreased the validity of the algorithm. QL1-NMF2 had serious problems with stability though it was based on a monotonically increasing derivative. The method therefore required an improvement of validity and stability. In the work described in this paper, we introduced new update functions that were based on a monotonically increasing derivative. Computer simulation results and real data results confirmed the new algorithm worked more stability than the previous one. Moreover, we showed the new algorithm was fast and accurate.
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