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20192026
most citedConstructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach

49 citations · 271 across the 22 of their papers we have counts for

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Showing 2024 · cs.LGShow all

2 papers · 2 filters

cs.LG2024★ 20 cited

RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators

Gianluca Fabiani, Ioannis G. Kevrekidis, Constantinos Siettos +1

Deep Operator Networks (DeepOnets) have revolutionized the domain of scientific machine learning for the solution of the inverse problem for dynamical systems. However, their imple…

cs.LG2024

Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications

Gianluca Fabiani

We investigate the concept of Best Approximation for Feedforward Neural Networks (FNN) and explore their convergence properties through the lens of Random Projection (RPNNs). RPNNs…