Error bounds for approximations with deep ReLU networks

3 October 2016

Papers citing "Error bounds for approximations with deep ReLU networks"

50 / 201 papers shown

Title
Super-fast rates of convergence for Neural Networks Classifiers under the Hard Margin Condition Nathanael Tepakbong Ding-Xuan Zhou Xiang Zhou 39 0 0 13 May 2025
Universal Approximation Theorem for Deep Q-Learning via FBSDE System Qian Qi 29 0 0 09 May 2025
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights Zhaiming Shen Alex Havrilla Rongjie Lai A. Cloninger Wenjing Liao 39 0 0 06 May 2025
Binding threshold units with artificial oscillatory neurons V. Fanaskov Ivan V. Oseledets 49 0 0 06 May 2025
A New Perspective To Understanding Multi-resolution Hash Encoding For Neural Fields Steven Tin Sui Luo 26 0 0 05 May 2025
Universal Approximation Theorem of Deep Q-Networks Qian Qi 37 1 0 04 May 2025
Inferring Outcome Means of Exponential Family Distributions Estimated by Deep Neural Networks Xuran Meng Yi Li BDL 32 0 0 12 Apr 2025
An extension of linear self-attention for in-context learning Katsuyuki Hagiwara 41 0 0 31 Mar 2025
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces Yuwen Li Guozhi Zhang 46 1 0 20 Jan 2025
Deep Partially Linear Transformation Model for Right-Censored Survival Data Junkai Yin Yue Zhang Zhangsheng Yu 72 0 0 10 Dec 2024
Sinc Kolmogorov-Arnold Network and Its Applications on Physics-informed Neural Networks Tianchi Yu Jingwei Qiu Jiang Yang Ivan V. Oseledets 29 2 0 05 Oct 2024
Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis Hyunwoo Lee Hayoung Choi Hyunju Kim 39 1 0 03 Oct 2024
On the expressiveness and spectral bias of KANs Yixuan Wang Jonathan W. Siegel Ziming Liu Thomas Y. Hou 37 10 0 02 Oct 2024
Cauchy activation function and XNet Xin Li Zhihong Xia Hongkun Zhang 45 4 0 28 Sep 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
Time Series Generative Learning with Application to Brain Imaging Analysis Zhenghao Li Sanyou Wu Long Feng MedIm 41 0 0 19 Jul 2024
Theoretical Insights into CycleGAN: Analyzing Approximation and Estimation Errors in Unpaired Data Generation Luwei Sun Dongrui Shen Han Feng 43 2 0 16 Jul 2024
Equidistribution-based training of Free Knot Splines and ReLU Neural Networks Simone Appella S. Arridge Chris Budd Teo Deveney L. Kreusser 35 0 0 02 Jul 2024
Neural Networks Trained by Weight Permutation are Universal Approximators Yongqiang Cai Gaohang Chen Zhonghua Qiao 69 1 0 01 Jul 2024
BrowNNe: Brownian Nonlocal Neurons & Activation Functions Sriram Nagaraj Truman Hickok 31 0 0 21 Jun 2024
Posterior and variational inference for deep neural networks with heavy-tailed weights Ismael Castillo Paul Egels BDL 60 3 0 05 Jun 2024
Anomaly Detection in Dynamic Graphs: A Comprehensive Survey Ocheme Anthony Ekle William Eberle AI4TS 32 10 0 31 May 2024
From Words to Actions: Unveiling the Theoretical Underpinnings of LLM-Driven Autonomous Systems Jianliang He Siyu Chen Fengzhuo Zhang Zhuoran Yang LM&Ro LLMAG 44 2 0 30 May 2024
Model Free Prediction with Uncertainty Assessment Yuling Jiao Lican Kang Jin Liu Heng Peng Heng Zuo DiffM 34 0 0 21 May 2024
Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces Owen Davis Gianluca Geraci Mohammad Motamed 46 2 0 10 May 2024
Generative adversarial learning with optimal input dimension and its adaptive generator architecture Zhiyao Tan Ling Zhou Huazhen Lin GAN 42 0 0 06 May 2024
No One-Size-Fits-All Neurons: Task-based Neurons for Artificial Neural Networks Feng-Lei Fan Meng Wang Hang Dong Jianwei Ma Tieyong Zeng 43 0 0 03 May 2024
KAN: Kolmogorov-Arnold Networks Ziming Liu Yixuan Wang Sachin Vaidya Fabian Ruehle James Halverson Marin Soljacic Thomas Y. Hou Max Tegmark 95 473 0 30 Apr 2024
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation Janina Enrica Schutte Martin Eigel AI4CE 29 2 0 19 Mar 2024
A Statistical Analysis of Wasserstein Autoencoders for Intrinsically Low-dimensional Data Saptarshi Chakraborty Peter L. Bartlett 44 1 0 24 Feb 2024
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts Anastasis Kratsios Haitz Sáez de Ocáriz Borde Takashi Furuya Marc T. Law MoE 41 1 0 05 Feb 2024
Extracting Formulae in Many-Valued Logic from Deep Neural Networks Yani Zhang Helmut Bölcskei 24 0 0 22 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 34 5 0 19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
Mathematical Algorithm Design for Deep Learning under Societal and Judicial Constraints: The Algorithmic Transparency Requirement Holger Boche Adalbert Fono Gitta Kutyniok FaML 31 4 0 18 Jan 2024
Nonlinear functional regression by functional deep neural network with kernel embedding Zhongjie Shi Jun Fan Linhao Song Ding-Xuan Zhou Johan A. K. Suykens 65 5 0 05 Jan 2024
Double-well Net for Image Segmentation Haotian Liu Jun Liu Raymond H. F. Chan Xue-Cheng Tai 47 7 0 31 Dec 2023
Expressivity and Approximation Properties of Deep Neural Networks with ReLU $^k$ Activation Juncai He Tong Mao Jinchao Xu 37 3 0 27 Dec 2023
Statistical learning by sparse deep neural networks Felix Abramovich BDL 21 1 0 15 Nov 2023
The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning Alexander Bastounis Alexander N. Gorban Anders C. Hansen D. Higham Danil Prokhorov Oliver J. Sutton I. Tyukin Qinghua Zhou OOD 18 4 0 13 Sep 2023
Rates of Approximation by ReLU Shallow Neural Networks Tong Mao Ding-Xuan Zhou 29 19 0 24 Jul 2023
Learning Prescriptive ReLU Networks Wei-Ju Sun Asterios Tsiourvas 21 2 0 01 Jun 2023
Fine-grained analysis of non-parametric estimation for pairwise learning Junyu Zhou Shuo Huang Han Feng Puyu Wang Ding-Xuan Zhou 43 1 0 31 May 2023
Statistical Guarantees of Group-Invariant GANs Ziyu Chen M. Katsoulakis Luc Rey-Bellet Wei-wei Zhu 45 2 0 22 May 2023
Cloud-RAIN: Point Cloud Analysis with Reflectional Invariance Yiming Cui Lecheng Ruan Hang Dong Qiang Li Zhongming Wu T. Zeng Fengyu Fan 3DPC 35 0 0 13 May 2023
When Deep Learning Meets Polyhedral Theory: A Survey Joey Huchette Gonzalo Muñoz Thiago Serra Calvin Tsay AI4CE 94 32 0 29 Apr 2023
Hedonic Prices and Quality Adjusted Price Indices Powered by AI Patrick Bajari Zhihao Cen Victor Chernozhukov Manoj Manukonda Suhas Vijaykumar ... Ramon Huerta Junbo Li Ling Leng George Monokroussos Shan Wan 20 13 0 28 Apr 2023
Performative Prediction with Neural Networks Mehrnaz Mofakhami Ioannis Mitliagkas Gauthier Gidel 40 16 0 14 Apr 2023
Deep neural network approximation of composite functions without the curse of dimensionality Adrian Riekert 24 0 0 12 Apr 2023