The difference can be found in the objective function O(w, u; D) shown in Eq.
3; DC-ADMM utilizes L 1regularizer as a part of base leaning algorithm Ω(w) = λ 1 ||w|| 1 , while DCwL1-ADMM discards regularizer of base learning algorithm Ω(w), but instead introducing Υ(u) = λ 1 ||u|| 1 .