Approximating Continuous Functions by ReLU Nets of Minimal Width

31 October 2017

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

50 / 58 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 43 191 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 64 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
Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems Tianyu Zhao Xiang Pan Minghua Chen S. Low 27 10 0 15 Dec 2021
SPINE: Soft Piecewise Interpretable Neural Equations Jasdeep Singh Grover Harsh Minesh Domadia Rajashree Tapase Grishma Sharma 21 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 61 8 0 23 Sep 2021
Densely connected neural networks for nonlinear regression Chao Jiang Canchen Jiang Dongwei Chen Fei Hu PINN 15 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 40 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 24 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 35 122 0 16 Jun 2020
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size Christoph Hertrich M. Skutella 52 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 14 335 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 30 121 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 14 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