1. Form the affinity matrix ω defined by ωij=exp(−|xi−xj|2/2σ2) if i≠j and ωii=0. |
2. Construct the matrix S=D−1/2ωD−1/2 in which D is a diagonal matrix with its (i,i)-element equal to the sum of the ith row of ω. |
3. Iterate F(r+1)=βSF(r)+(1−β)Y until convergence where β is a parameter in (0, 1). |
4. Let F∗ denote the limit of the sequence {F(r)}. Label each point xi as a label \(y_{i} =argmax_{j \leq c} \tilde {F}^{*}_{{ij}}\). |