Understanding of Hilbert-Schmidt Independence Criterion (HSIC)
ProblemGiven(x1,y1),…,(xn,yn)∈P(x,y),(x_1,y_1),…,(x_n,y_n)\inP(x,y),(x1,y1),…,(xn,yn)∈P(x,y),determingwhetherP(x,y)=P(x)×P(y).P(x,y)=P(x)\timesP(y).P(x,y)=P(x)×P(y).Ormeasuredegreeofdependence.Belowis