Universal Approximation with Deep Narrow Networks

Type: Preprint

Publication Date: 2019-05-21

Citations: 14

Locations

  • arXiv (Cornell University) - View

Similar Works

Action Title Year Authors
+ Universal Approximation with Deep Narrow Networks 2019 Patrick Kidger
Terry Lyons
+ The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality 2023 Lukas Gonon
Robin Graeber
Arnulf Jentzen
+ Universal approximation with complex-valued deep narrow neural networks 2023 Paul Geuchen
Thomas Jahn
Hannes Matt
+ Approximating Continuous Functions by ReLU Nets of Minimal Width 2017 Boris Hanin
Mark Sellke
+ Deep Network Approximation: Beyond ReLU to Diverse Activation Functions 2023 Zhang Shi-jun
Jianfeng Lu
Hongkai Zhao
+ The Expressive Power of Neural Networks: A View from the Width 2017 Lu Zhou
Hongming Pu
Feicheng Wang
Zhiqiang Hu
Liwei Wang
+ Deep Network Approximation with Discrepancy Being Reciprocal of Width to Power of Depth. 2020 Zuowei Shen
Haizhao Yang
Zhang Shi-jun
+ PDF Chat Deep Network Approximation Characterized by Number of Neurons 2020 Zuowei Shen
Haizhao Yang
Zhang Shi-jun
+ Approximation Power of Deep Neural Networks: an explanatory mathematical survey 2022 Mohammad Motamed
+ The Power of Depth for Feedforward Neural Networks 2015 Ronen Eldan
Ohad Shamir
+ PDF Chat New advances in universal approximation with neural networks of minimal width 2024 Dennis Rochau
Hanno Gottschalk
Robin Chan
+ Approximating smooth functions by deep neural networks with sigmoid activation function 2020 Sophie Langer
+ Approximating smooth functions by deep neural networks with sigmoid activation function. 2020 Sophie Langer
+ A closer look at the approximation capabilities of neural networks 2020 Kai Fong Ernest Chong
+ A closer look at the approximation capabilities of neural networks 2020 Kai Fong Ernest Chong
+ Expressiveness of Neural Networks Having Width Equal or Below the Input Dimension. 2020 Hans-Peter Beise
Steve Cruz
+ Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons 2021 Zuowei Shen
Haizhao Yang
Zhang Shi-jun
+ PDF Chat Deep Network With Approximation Error Being Reciprocal of Width to Power of Square Root of Depth 2021 Zuowei Shen
Haizhao Yang
Zhang Shi-jun
+ Error bounds for approximations with deep ReLU networks 2016 Dmitry Yarotsky
+ Error bounds for approximations with deep ReLU networks 2016 Dmitry Yarotsky