Weighted Lagrangian ε-twin support vector regression (WL-ε-TSVR) is proposed.
Weight matrix D is introduced to reduce the impact of outliers.
WL-ε-TSVR just needs to solve the simple unconstrained minimization problems (UMPs).
A linearly convergent Lagrangian algorithm is used to obtain the solutions of UMPs.
Experimental results indicate that WL-ε-TSVR has remarkably improved generalization performance.