Reviews: Mixed Linear Regression with Multiple Components

This paper proposes a new objective function to solve mixed linear regression problem, but fails to explain many important issues: (1) What is the intuition of the introduction and advantage of the objective function? The answer between line 39 and line 40 is not good. Because if it is modeled as finite mixture model as in many references, "objective value is zero when {w_k}_{k 1,2,...,K} is the global optima and y's do not contain any noise" is also true. The following is a example. It seems there is no probabilistic interpretation for the objective function in Eq.(1).