Research Article

Local Smoothness of Graph Signals

Table 1

The number of outliers and the mean squared error of the local smoothness for the considered estimators.

ā€‰LaplacianRih. dist.RIDLVS spec.LVS vert.
SNR NO MSE NO MSE NO MSE NO MSE NO MSE

ā€‰ 4 0.027 0 0.000 0 0.000 4 0.161 4 0.161
50 4 0.027 0 0.000 0 0.000 4 0.161 4 0.161
40 8 0.027 0 0.000 0 0.000 4 0.161 5 0.165
30 20 0.032 0 0.000 0 0.000 4 0.161 5 0.165
20 32 0.057 0 0.000 0 0.000 4 0.161 5 0.165
10 36 0.261 0 0.000 1 0.027 4 0.172 5 0.036
5 38 0.848 3 0.177 1 0.027 4 0.172 5 0.042
0 38 1.557 5 0.290 3 0.095 6 0.278 6 0.270
-2.5 38 2.294 11 0.648 8 0.693 6 0.278 7 0.282
-5 38 2.194 14 1.127 16 1.814 9 0.581 9 0.555
-7.5 38 2.701 21 2.115 19 2.293 11 0.667 12 0.826
-10 38 3.052 25 2.486 23 2.474 19 1.089 15 1.177
-15 38 3.469 33 3.005 33 3.477 27 1.683 27 2.503