Discontinuous neural networks and discontinuity learning

DOI10.1016/j.cam.2022.114678zbMath1503.65035OpenAlexW3166240489WikidataQ114952699 ScholiaQ114952699MaRDI QIDQ2088828

Francesco Della Santa, Sandra Pieraccini

Publication date: 6 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114678

zbMATH Keywords

neural networksdeep learningdiscontinuous functionsautomatic detection of discontinuity interface

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical solutions to stochastic differential and integral equations (65C30) Algorithms for approximation of functions (65D15)

Uses Software

• TensorFlow
• ImageNet
• DeepFace
• Adam
• AlexNet

Cites Work

• Unnamed Item
• Unnamed Item
• Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions
• Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids
• Discontinuity detection in multivariate space for stochastic simulations
• The Ehrenfest classification of phase transitions: Introduction and evolution
• Ridgelets: estimating with ridge functions
• Optimal approximation of piecewise smooth functions using deep ReLU neural networks
• Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy
• Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection
• Deep Network With Approximation Error Being Reciprocal of Width to Power of Square Root of Depth
• Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
• A logical calculus of the ideas immanent in nervous activity
• A survey on modern trainable activation functions

This page was built for publication: Discontinuous neural networks and discontinuity learning