Approximation Spaces of Deep Neural Networks - Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix (Constructive approximation, 2022)
Keywords: Analysis; Approximation; Artificial neural networks; Complexity; Computer Science; Function space; Functional Analysis; Linear functions; Machine Learning; Mathematical analysis; Mathematics; Mathematics and Statistics; Neural and Evolutionary Computing; Neural networks; Nonlinearity; Numerical Analysis; Smoothness; Statistics; Deep neural networks; Sparsely connected networks; Primary 82C32; Secondary 68T05; Besov spaces; ReLU activation function; 41A46; Piecewise polynomials; 42C40; 41A65; Approximation spaces; Direct estimates; Inverse estimates; sparsely connected networks; direct estimates; piecewise polynomials; inverse estimates