Approximating Continuous Functions by ReLU Nets of Minimal Width

31 October 2017

Papers citing "Approximating Continuous Functions by ReLU Nets of Minimal Width"

50 / 57 papers shown

Title
Non-identifiability distinguishes Neural Networks among Parametric Models Sourav Chatterjee Timothy Sudijono 32 0 0 25 Apr 2025
Explicit neural network classifiers for non-separable data Patrícia Muñoz Ewald 24 0 0 25 Apr 2025
Approximation properties of neural ODEs Arturo De Marinis Davide Murari E. Celledoni Nicola Guglielmi B. Owren Francesco Tudisco 52 1 0 19 Mar 2025
TL-PCA: Transfer Learning of Principal Component Analysis Sharon Hendy Yehuda Dar 163 1 0 14 Oct 2024
On the Impacts of the Random Initialization in the Neural Tangent Kernel Theory Guhan Chen Yicheng Li Qian Lin AAML 38 1 0 08 Oct 2024
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks Yunfei Yang 62 2 0 02 Sep 2024
Blessing of Dimensionality for Approximating Sobolev Classes on Manifolds Hong Ye Tan Subhadip Mukherjee Junqi Tang Carola-Bibiane Schönlieb 57 0 0 13 Aug 2024
Neural networks in non-metric spaces Luca Galimberti 56 1 0 13 Jun 2024
A Hyper-Transformer model for Controllable Pareto Front Learning with Split Feasibility Constraints Tran Anh Tuan Nguyen Viet Dung Tran Ngoc Thang 39 3 0 04 Feb 2024
Minimum width for universal approximation using ReLU networks on compact domain Namjun Kim Chanho Min Sejun Park VLM 29 10 0 19 Sep 2023
When Deep Learning Meets Polyhedral Theory: A Survey Joey Huchette Gonzalo Muñoz Thiago Serra Calvin Tsay AI4CE 94 33 0 29 Apr 2023
Lower Bounds on the Depth of Integral ReLU Neural Networks via Lattice Polytopes Christian Haase Christoph Hertrich Georg Loho 34 22 0 24 Feb 2023
Getting Away with More Network Pruning: From Sparsity to Geometry and Linear Regions Junyang Cai Khai-Nguyen Nguyen Nishant Shrestha Aidan Good Ruisen Tu Xin Yu Shandian Zhe Thiago Serra MLT 40 7 0 19 Jan 2023
LU decomposition and Toeplitz decomposition of a neural network Yucong Liu Simiao Jiao Lek-Heng Lim 30 7 0 25 Nov 2022
Minimal Width for Universal Property of Deep RNN Changhoon Song Geonho Hwang Jun ho Lee Myung-joo Kang 25 9 0 25 Nov 2022
Positive-Unlabeled Learning using Random Forests via Recursive Greedy Risk Minimization Jo Wilton Abigail M. Y. Koay R. Ko Miao Xu N. Ye 29 13 0 16 Oct 2022
Pure Transformers are Powerful Graph Learners Jinwoo Kim Tien Dat Nguyen Seonwoo Min Sungjun Cho Moontae Lee Honglak Lee Seunghoon Hong 43 189 0 06 Jul 2022
Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks Hao Chen Yu Wang Huan Xiong GNN 16 6 0 01 Jun 2022
$Training Fully Connected Neural Networks is $\exists\mathbb{R}$-Complete$ Training Fully Connected Neural Networks is $\exists\mathbb{R}$ -Complete Daniel Bertschinger Christoph Hertrich Paul Jungeblut Tillmann Miltzow Simon Weber OffRL 61 30 0 04 Apr 2022
Deep Learning for Epidemiologists: An Introduction to Neural Networks S. Serghiou K. Rough FedML 24 13 0 02 Feb 2022
SPINE: Soft Piecewise Interpretable Neural Equations Jasdeep Singh Grover Harsh Minesh Domadia Rajashree Tapase Grishma Sharma 19 0 0 20 Nov 2021
Quantifying Epistemic Uncertainty in Deep Learning Ziyi Huang H. Lam Haofeng Zhang UQCV BDL UD PER 24 12 0 23 Oct 2021
Fourier Neural Networks for Function Approximation R. Subhash K. Yaswanth 28 1 0 21 Oct 2021
Meta Internal Learning Raphael Bensadoun Shir Gur Tomer Galanti Lior Wolf GAN 31 8 0 06 Oct 2021
Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks Annan Yu Chloe Becquey Diana Halikias Matthew Esmaili Mallory Alex Townsend 59 8 0 23 Sep 2021
Densely connected neural networks for nonlinear regression Chao Jiang Canchen Jiang Dongwei Chen Fei Hu PINN 13 20 0 29 Jul 2021
COLD: Concurrent Loads Disaggregator for Non-Intrusive Load Monitoring I. Kamyshev Dmitrii Kriukov E. Gryazina Elena Gryazina Henni Ouerdane 29 8 0 04 Jun 2021
Advances in Electron Microscopy with Deep Learning Jeffrey M. Ede 35 2 0 04 Jan 2021
Review: Deep Learning in Electron Microscopy Jeffrey M. Ede 36 79 0 17 Sep 2020
An Iterative LQR Controller for Off-Road and On-Road Vehicles using a Neural Network Dynamics Model Akhil Nagariya Srikanth Saripalli 22 28 0 28 Jul 2020
Expressivity of Deep Neural Networks Ingo Gühring Mones Raslan Gitta Kutyniok 16 51 0 09 Jul 2020
Neural Ordinary Differential Equation Control of Dynamics on Graphs Thomas Asikis Lucas Böttcher Nino Antulov-Fantulin 33 43 0 17 Jun 2020
Minimum Width for Universal Approximation Sejun Park Chulhee Yun Jaeho Lee Jinwoo Shin 33 122 0 16 Jun 2020
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size Christoph Hertrich M. Skutella 50 21 0 28 May 2020
Approximation in shift-invariant spaces with deep ReLU neural networks Yunfei Yang Zhen Li Yang Wang 34 14 0 25 May 2020
How hard is to distinguish graphs with graph neural networks? Andreas Loukas GNN 25 6 0 13 May 2020
Are Transformers universal approximators of sequence-to-sequence functions? Chulhee Yun Srinadh Bhojanapalli A. S. Rawat Sashank J. Reddi Sanjiv Kumar 11 335 0 20 Dec 2019
Neural Contextual Bandits with UCB-based Exploration Dongruo Zhou Lihong Li Quanquan Gu 36 15 0 11 Nov 2019
On Universal Equivariant Set Networks Nimrod Segol Y. Lipman 3DPC 25 63 0 06 Oct 2019
Optimal Function Approximation with Relu Neural Networks Bo Liu Yi Liang 25 33 0 09 Sep 2019
A Review on Deep Learning in Medical Image Reconstruction Hai-Miao Zhang Bin Dong MedIm 35 122 0 23 Jun 2019
The phase diagram of approximation rates for deep neural networks Dmitry Yarotsky Anton Zhevnerchuk 24 121 0 22 Jun 2019
Deep Network Approximation Characterized by Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 23 182 0 13 Jun 2019
Universal Approximation with Deep Narrow Networks Patrick Kidger Terry Lyons 40 328 0 21 May 2019
Nonlinear Approximation and (Deep) ReLU Networks Ingrid Daubechies Ronald A. DeVore S. Foucart Boris Hanin G. Petrova 22 138 0 05 May 2019
Nonlinear Approximation via Compositions Zuowei Shen Haizhao Yang Shijun Zhang 26 92 0 26 Feb 2019
Understanding Geometry of Encoder-Decoder CNNs J. C. Ye Woon Kyoung Sung 3DV AI4CE 11 72 0 22 Jan 2019
A Survey of the Recent Architectures of Deep Convolutional Neural Networks Asifullah Khan A. Sohail Umme Zahoora Aqsa Saeed Qureshi OOD 65 2,271 0 17 Jan 2019
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks Difan Zou Yuan Cao Dongruo Zhou Quanquan Gu ODL 33 446 0 21 Nov 2018
ResNet with one-neuron hidden layers is a Universal Approximator Hongzhou Lin Stefanie Jegelka 43 227 0 28 Jun 2018