RandONets: shallow networks with random projections for learning linear and nonlinear operators
DOI10.1016/J.JCP.2024.113433MaRDI QIDQ6648362
Gianluca Fabiani, A. N. Yannacopoulos, C. I. Siettos, Ioannis G. Kevrekidis
Publication date: 4 December 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
numerical analysisrandom projectionsshallow neural networkslinear and nonlinear operatorsinterpretable machine learning
Artificial neural networks and deep learning (68T07) Approximation by operators (in particular, by integral operators) (41A35) Algorithms for approximation of functions (65D15) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Randomized algorithms (68W20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution to inverse problems in abstract spaces (65J22) Numerical radial basis function approximation (65D12)
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