Optimal approximation of piecewise smooth functions using deep ReLU neural networks

JOURNAL ARTICLE published December 2018 in Neural Networks

Research funded by European Commission, Germany (665044)

Authors: Philipp Petersen | Felix Voigtlaender

Construction of neural networks for piecewise approximation of continuous functions

PROCEEDINGS ARTICLE published in IEEE International Conference on Neural Networks

Authors: C.-H. Choi | J.Y. Choi

Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations

JOURNAL ARTICLE published April 2023 in Neural Networks

Research funded by Deutsche Forschungsgemeinschaft (497300407) | National Research University Higher School of Economics (70-2021-00139) | Australian Cancer Research Foundation (000000D730321P5Q0002)

Authors: Denis Belomestny | Alexey Naumov | Nikita Puchkin | Sergey Samsonov

Efficient algorithms for function approximation with piecewise linear sigmoidal networks

JOURNAL ARTICLE published 1998 in IEEE Transactions on Neural Networks

Authors: D.R. Hush | B. Horne

Machine learning approach to color constancy

JOURNAL ARTICLE published July 2007 in Neural Networks

Authors: Vivek Agarwal | Andrei V. Gribok | Mongi A. Abidi

Neural nets as piecewise linear classifiers: New algorithms

JOURNAL ARTICLE published January 1988 in Neural Networks

Canonical piecewise-linear networks

JOURNAL ARTICLE published 1995 in IEEE Transactions on Neural Networks

Authors: R. Unbehauen

Piecewise convexity of artificial neural networks

JOURNAL ARTICLE published October 2017 in Neural Networks

Authors: Blaine Rister | Daniel L. Rubin

Neural-network approximation of piecewise continuous functions: application to friction compensation

JOURNAL ARTICLE published May 2002 in IEEE Transactions on Neural Networks

Authors: R.R. Selmic | F.L. Lewis

Piecewise linear networks (PLN) for function approximation

PROCEEDINGS ARTICLE published in IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339)

Authors: W. Eppler | H.N. Beck

Author index

JOURNAL ARTICLE published January 1988 in Neural Networks

The extended piecewise quadratic neural network

JOURNAL ARTICLE published July 1998 in Neural Networks

Authors: David M. Weber | David P. Casasent

Hamiltonian dynamics of neural networks

JOURNAL ARTICLE published January 1993 in Neural Networks

Authors: Ulrich Ramacher

On the piecewise analysis of networks of linear threshold neurons

JOURNAL ARTICLE published June 1998 in Neural Networks

Authors: R.L.T. Hahnloser

Neural networks and approximation theory

JOURNAL ARTICLE published June 1996 in Neural Networks

Authors: H.N. Mhaskar

Stability analysis of recurrent neural networks with piecewise constant argument of generalized type

JOURNAL ARTICLE published September 2010 in Neural Networks

Authors: M.U. Akhmet | D. Aruğaslan | E. Yılmaz

Multistability of neural networks with discontinuous non-monotonic piecewise linear activation functions and time-varying delays

JOURNAL ARTICLE published May 2015 in Neural Networks

Research funded by Australian Research Council (DP120104986) | National Natural Science Foundation of China (61203300) | Doctoral Program of Higher Education (20120092120029) | Natural Science Foundation of Jiangsu Province of China (BK2012319) | China Postdoctoral Science Foundation (2012M511177) | State Scholarship Fund (201308320229)

Authors: Xiaobing Nie | Wei Xing Zheng

A new algorithm for learning in piecewise-linear neural networks

JOURNAL ARTICLE published June 2000 in Neural Networks

Authors: E.F. Gad | A.F. Atiya | S. Shaheen | A. El-Dessouki

Constructive function-approximation by three-layer artificial neural networks

JOURNAL ARTICLE published August 1998 in Neural Networks

Authors: Shin Suzuki

Multivariate sigmoidal neural network approximation

JOURNAL ARTICLE published May 2011 in Neural Networks

Authors: George A. Anastassiou