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Springback is one of the major shape defects in roll forming. It is difficult to predict springback accurately and efficiently because the process involves complicated deformation. In this paper, a high accuracy Support Vector Regression (SVR) algorithm based on the Simulated Annealing Particle Swarm Optimization algorithm (SAPSO) is proposed to predict springback. Firstly, simulations of the forming process of V-channel profile are carried out to investigate the springback at different fillet radii, yield strengths, uphill volumes and roll span spaces. Then with the data obtained, the accuracy of SAPSO-SVR, SVR, and Back Propagation Neural Network (BPNN) prediction models was tested. The experimental results show that SAPSO-SVR has the highest prediction accuracy, and its average absolute error is about 0.11