Robust projection twin extreme learning machines with capped L1-norm distance metric

•A novel classification method named projection twin extreme learning machine (PTELM) is proposed.•A new method termed as capped L1-norm projection twin extreme learning machine (CL1-PTELM) is proposed by introducing capped L1-norm distance metric into PTELM.•Two efficient algorithms are designed for our PTELM and CL1-PTELM, and two theorems are proved for CL1-PTELM’s convergence and local optimality.•Sufficient experiments on multiple datasets demonstrate the effectiveness of the proposed methods.