An unsuitable value of k may lead to a series of wrong manifolds after dimensionality reduction in local linear embedding (LLE). In order to improve the accuracy of dimensionality reduction in LLE, an improved LLE algorithm (ILLE) is proposed, which determins the optimal number of nearest neighbors k and decreases its sensitivity. In this paper, ILLE is applied to identify the modal shapes of two complex structures and the results show that ILLE identifies the modal shape more accurately than LLE.
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