2017
DOI: 10.1109/tsipn.2017.2668145
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Stochastic Multidimensional Scaling

Abstract: Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates the use of batch optimization algorithms that are not scalable to large-sized problems. This paper considers an alternative stochastic stress minimization framework that is amenable to incremental and distributed solutions. A novel linear-complexity stochastic optimization al… Show more

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Cited by 11 publications
(9 citation statements)
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“…As the missing distances are estimated in the previous section, now the surface station uses data analysis methods to estimate the actual location of nodes. Some of the most famous data analysis methods are multidimensional scaling [38], [39], Isomap [56], and principal component analysis [57]. All of these methods are also called dimensionality reduction methods which tries to embed a higher dimensional data into a lower dimensional space.…”
Section: Relative Position Estimationmentioning
confidence: 99%
See 1 more Smart Citation
“…As the missing distances are estimated in the previous section, now the surface station uses data analysis methods to estimate the actual location of nodes. Some of the most famous data analysis methods are multidimensional scaling [38], [39], Isomap [56], and principal component analysis [57]. All of these methods are also called dimensionality reduction methods which tries to embed a higher dimensional data into a lower dimensional space.…”
Section: Relative Position Estimationmentioning
confidence: 99%
“…• Finally, analytic findings are verified with extensive simulation results for different system parameters such as the number of nodes, transmission range, and beam scanning angles. Localization performance of the proposed method is also compared with other well-known network localization schemes such as multidimensional scaling (MDS) [37]- [39], and distance vector routing (DV) [40].…”
mentioning
confidence: 99%
“…In this paper, we compare our projection algorithm with the other existing projection methods in terms of image semantic segmentation for outdoor scene understanding. Five commonly used projection algorithms are used here, namely, PCA, Kernel PCA (KPCA) [14], MDS [15], LDA [16], and autoencoder [17]. The first three are linear methods, and the latter two are nonlinear methods.…”
Section: B Results Of Rgb-di Image Generatingmentioning
confidence: 99%
“…It is clear from Figure 7 that the efficiency of the localization technique improves with the energy harvested from the aquatic environment. The mean square error performance of the proposed technique is compared with well-known network localization schemes such as multidimensional scaling [ 35 ] and manifold regularization [ 36 ]. Figure 8 shows that the proposed technique outperforms both multidimensional scaling and manifold regularization due to the novel strategy of weighting the multiple observation views for a single network.…”
Section: Numerical Resultsmentioning
confidence: 99%