we obsereve deformations in the generated coordinates are quite prominen when we change various neighbohood size k in fig.5 corresponding computed coordinates by LLE , and we observe produces coordinates T that almost
has similar geometric structure as the generating coordinates when we change various neighbohood size k in fig.6 corresponding computes coordinates by LTSA.
As we can observe, the advantage of LTSA over LLE which is that using LTSA.LTSA algorithm seems to be less sensitive to the choice of k than LLE.
6- Conclusion
In this analize of this article , we tried to analyze the algorithm of LTSA and to compare it with the existing solution like PCA and LLE , with observetion of the techniques that the others have used which is the construction of local tangent spaces to represent local geometry and the global alignment of the local tangent spaces . and i try to explain how it use nonlinear dimension reduction via local tangent space alignement(LTSA).