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approximation rate

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deep neural network (3) relu network (2) modulus of continuity (2) function approximation (2) neural network approximation (1) scaling parameter (1) integral equation (1) picard iteration (1) solution operator (1) continuous function (1)

Papers

Optimal Approximation and Generalization Errors for Deep Convolutional Neural Networks JMLR 2026 Nonlinear functional regression by functional deep neural network with kernel embedding JMLR 2025 On Expressive Power of Looped Transformers: Theoretical Analysis and Enhancement via Timestep Encoding ICML 2025 On Statistical Rates of Conditional Diffusion Transformers: Approximation, Estimation and Minimax Optimality ICLR 2025 Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations ICLR 2025 Approximation Rate of the Transformer Architecture for Sequence Modeling NeurIPS 2024 ReLU Network with Width d+O(1) Can Achieve Optimal Approximation Rate ICML 2024 The phase diagram of approximation rates for deep neural networks NeurIPS 2020 Optimal approximation of continuous functions by very deep ReLU networks COLT 2018