Kernel dimensionality reduction (KDR) algorithms find a low dimensional representation of the original data by optimizing kernel dependency measures that are capable ofcapturing nonlinear relationships.
Thus,ฮณ(ฯ) (0,1] for ฯ (0,1], which meets the algorithm design requirement. Algorithm 2 actually performs the gradient descent scheme on the function หfti(x) = Eu B[fti(x+ฯตu)] restricted to the convex set(1 ฮถ)K.