The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale’s 18th problem - Colbrook, Matthew J.; Antun, Vegard; Hansen, Anders C. (Proceedings of the National Academy of Sciences - PNAS, 2022)
Keywords: Algorithms; Applied Mathematics; Approximation; Artificial Intelligence; Computation; Deep Learning; Digits; Inverse problems; Iterative methods; Machine learning; Mathematical analysis; Neural networks; Neural Networks, Computer; Physical Sciences; AI and deep learning; stability and accuracy; solvability complexity index hierarchy; inverse problems; Smale’s 18th problem