Before revision:  As demonstrated by extensive numerical tests, the proposed activation function can facilitate the convergence of deep learning optimization for a solution with higher accuracy than existing deep learning solvers for audio/image/video reconstruction, PDEs, and eigenvalue problems  .
After revision:  As demonstrated by extensive numerical tests, the proposed activation function can facilitate the convergence of deep learning optimization for a solution with higher accuracy than existing deep learning solvers for audio/image/video reconstruction, PDEs, and eigenvalue problems . With RAFs, the errors of audio/video reconstruction, PDEs, and eigenvalue problems are decreased by over 14\%, 73\%, 99\%, respectively, compared with baseline, while the performance of image reconstruction increases by 58\% .