Beyond curse of dimensionality with transition matrices

 

We now use some of the points on each grid and update:

 

k1=k[indM[indn,sind[t+1]]];

and

ks[t+1]=SmoothingFunction(k1,k[indn],ks[t]);

 

given k and k1 respectively starting from ks[startn]. Here, indn is an index vector

 

around ks[t] with nsmooth points.

 

We here set

 

0:linear interpolation

1:polynomial

2:LOESS

3:LOWESS

4:Kernel regression

5:Smoothing natural spline

6:NURBS x multi

7:Bezier Curve x multi         

 

where we set multi=1,2,3,. . . inside the procedure to increase the points multi times.