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Error bounds for approximations with deep ReLU networks
v1v2v3 (latest)

Error bounds for approximations with deep ReLU networks

3 October 2016
Dmitry Yarotsky
ArXiv (abs)PDFHTML

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

50 / 633 papers shown
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Upper Approximation Bounds for Neural Oscillators
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Michael Beer
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A Quantifier-Reversal Approximation Paradigm for Recurrent Neural Networks
A Quantifier-Reversal Approximation Paradigm for Recurrent Neural Networks
Clemens Hutter
Valentin Abadie
Helmut Bölcskei
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19 Nov 2025
Convomem Benchmark: Why Your First 150 Conversations Don't Need RAG
Convomem Benchmark: Why Your First 150 Conversations Don't Need RAGJournal of the mechanics and physics of solids (JMPS), 2025
Egor Pakhomov
Erik Nijkamp
Caiming Xiong
279
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13 Nov 2025
Deep Neural Operator Learning for Probabilistic Models
Deep Neural Operator Learning for Probabilistic Models
Erhan Bayraktar
Qi Feng
Zecheng Zhang
Zhaoyu Zhang
122
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10 Nov 2025
One model to solve them all: 2BSDE families via neural operators
One model to solve them all: 2BSDE families via neural operators
Takashi Furuya
Anastasis Kratsios
Dylan Possamaï
Bogdan Raonić
141
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03 Nov 2025
Bayesian Neural Networks vs. Mixture Density Networks: Theoretical and Empirical Insights for Uncertainty-Aware Nonlinear Modeling
Bayesian Neural Networks vs. Mixture Density Networks: Theoretical and Empirical Insights for Uncertainty-Aware Nonlinear Modeling
R. Ghosh
Ian Barnett
BDLUD
374
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28 Oct 2025
Neural Mutual Information Estimation with Vector Copulas
Neural Mutual Information Estimation with Vector Copulas
Yanzhi Chen
Zijing Ou
Adrian Weller
Michael U. Gutmann
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23 Oct 2025
Neural Networks for Censored Expectile Regression Based on Data Augmentation
Neural Networks for Censored Expectile Regression Based on Data Augmentation
Wei Cao
Shanshan Wang
CML
91
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On Universality of Deep Equivariant Networks
On Universality of Deep Equivariant Networks
Marco Pacini
Mircea Petrache
Bruno Lepri
Shubhendu Trivedi
Robin Walters
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In-Context Learning Is Provably Bayesian Inference: A Generalization Theory for Meta-Learning
In-Context Learning Is Provably Bayesian Inference: A Generalization Theory for Meta-Learning
Tomoya Wakayama
Taiji Suzuki
UQCVBDL
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A Mathematical Explanation of Transformers for Large Language Models and GPTs
A Mathematical Explanation of Transformers for Large Language Models and GPTs
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Hao Liu
Lingfeng Li
Raymond H. F. Chan
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Sharp Lower Bounds for Linearized ReLU^k Approximation on the Sphere
Sharp Lower Bounds for Linearized ReLU^k Approximation on the Sphere
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Jinchao Xu
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Sparse Deep Additive Model with Interactions: Enhancing Interpretability and Predictability
Sparse Deep Additive Model with Interactions: Enhancing Interpretability and Predictability
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Vince D. Calhoun
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Statistical Learning Guarantees for Group-Invariant Barron Functions
Statistical Learning Guarantees for Group-Invariant Barron Functions
Yahong Yang
Wei Zhu
96
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Generalization Analysis for Classification on Korobov Space
Generalization Analysis for Classification on Korobov Space
Yuqing Liu
72
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KANO: Kolmogorov-Arnold Neural Operator
KANO: Kolmogorov-Arnold Neural Operator
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Ziming Liu
Xinling Yu
Yixuan Wang
Haewon Jeong
Murphy Yuezhen Niu
Zheng Zhang
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Circuit realization and hardware linearization of monotone operator equilibrium networks
Circuit realization and hardware linearization of monotone operator equilibrium networks
Thomas Chaffey
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Expressive Power of Deep Networks on Manifolds: Simultaneous Approximation
Expressive Power of Deep Networks on Manifolds: Simultaneous Approximation
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Information-Theoretic Bounds and Task-Centric Learning Complexity for Real-World Dynamic Nonlinear Systems
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Mikko Sillanpää
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Distribution estimation via Flow Matching with Lipschitz guarantees
Distribution estimation via Flow Matching with Lipschitz guarantees
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Beyond Universal Approximation Theorems: Algorithmic Uniform Approximation by Neural Networks Trained with Noisy Data
Beyond Universal Approximation Theorems: Algorithmic Uniform Approximation by Neural Networks Trained with Noisy Data
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Daniel Roy
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Theory Foundation of Physics-Enhanced Residual Learning
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Wang Chen
Keke Long
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Jintao Ke
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Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation
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Factor Informed Double Deep Learning For Average Treatment Effect Estimation
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Soham Jana
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Qishuo Yin
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Error analysis for the deep Kolmogorov method
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Thang Do
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Arnulf Jentzen
Ionel Popescu
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Deep Learning for Markov Chains: Lyapunov Functions, Poisson's Equation, and Stationary Distributions
Deep Learning for Markov Chains: Lyapunov Functions, Poisson's Equation, and Stationary Distributions
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Jose Blanchet
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On Task Vectors and Gradients
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Neural Networks with Orthogonal Jacobian
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A Contrastive Diffusion-based Network (CDNet) for Time Series Classification
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Universal Fourier Neural Operators for periodic homogenization problems in linear elasticity
Universal Fourier Neural Operators for periodic homogenization problems in linear elasticityJournal of the mechanics and physics of solids (JMPS), 2025
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Matti Schneider
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When do World Models Successfully Learn Dynamical Systems?
When do World Models Successfully Learn Dynamical Systems?
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Bridging Unsupervised and Semi-Supervised Anomaly Detection: A Theoretically-Grounded and Practical Framework with Synthetic Anomalies
Bridging Unsupervised and Semi-Supervised Anomaly Detection: A Theoretically-Grounded and Practical Framework with Synthetic Anomalies
Matthew Lau
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On Universality Classes of Equivariant Networks
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Time to Spike? Understanding the Representational Power of Spiking Neural Networks in Discrete Time
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Efficient Adaptive Experimentation with Noncompliance
Efficient Adaptive Experimentation with Noncompliance
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Brian M Cho
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Approximation theory for 1-Lipschitz ResNets
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SAD Neural Networks: Divergent Gradient Flows and Asymptotic Optimality via o-minimal Structures
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Super-fast rates of convergence for Neural Networks Classifiers under the Hard Margin Condition
Super-fast rates of convergence for Neural Networks Classifiers under the Hard Margin Condition
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Universal Approximation Theorem for Deep Q-Learning via FBSDE System
Universal Approximation Theorem for Deep Q-Learning via FBSDE System
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Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights
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Binding threshold units with artificial oscillatory neurons
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A New Perspective To Understanding Multi-resolution Hash Encoding For Neural Fields
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Universal Approximation Theorem of Deep Q-Networks
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Transformers Can Overcome the Curse of Dimensionality: A Theoretical Study from an Approximation Perspective
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On the minimax optimality of Flow Matching through the connection to kernel density estimation
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Expressivity of Quadratic Neural ODEs
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