On the rate of convergence of a deep recurrent neural network estimate in a regression problem with dependent data
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Abstract (arXiv)
A regression problem with dependent data is considered. Regularity assumptions on the dependency of the data are introduced, and it is shown that under suitable structural assumptions on the regression function a deep recurrent neural network estimate is able to circumvent the curse of dimensionality.
Key facts. Cited by 14 papers in the map (data through 13 Oct 2026). First posted on arXiv 31 Oct 2020.
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Citing papers per year: 2022: 1; 2023: 4; 2024: 5; 2025: 2; 2026: 2.
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- 2022Adaptive deep learning for nonlinear time series modelscited by 11
- 2023Excess risk bound for deep learning under weak dependencecited by 9
- 2023Sparse-penalized deep neural networks estimator under weak dependencecited by 8
- 2024Robust deep learning from weakly dependent datacited by 5
- 2024Minimax optimality of deep neural networks on dependent data via PAC-Bayes boundscited by 4
- 2024Deep learning from strongly mixing observations: Sparse-penalized regularization and minimax optimalitycited by 3
- 2023Deep learning for psi-weakly dependent processescited by 2
- 2023Penalized deep neural networks estimator with general loss functions under weak dependencecited by 2
- 2024Approximation Bounds for Recurrent Neural Networks with Application to Regressioncited by 2
- 2025A general framework for deep learningcited by 2
- 2024A Subsampling Based Neural Network for Spatial Datacited by 0
- 2025Learning Causal States Under Partial Observability and Perturbationcited by 0
- 2026Adaptive deep nonparametric regression from dependent data under covariate shift22 Jul 2026
- 2026Deep regression learning from dependent observations with minimum error entropy principle11 Mar 2026
- 2025A general framework for deep learning29 Dec 2025
- 2025Learning Causal States Under Partial Observability and Perturbation29 Nov 2025
- 2024A Subsampling Based Neural Network for Spatial Data6 Nov 2024
- 2024Minimax optimality of deep neural networks on dependent data via PAC-Bayes bounds29 Oct 2024
- 2024Approximation Bounds for Recurrent Neural Networks with Application to Regression9 Sep 2024
- 2024Deep learning from strongly mixing observations: Sparse-penalized regularization and minimax optimality12 Jun 2024
- 2024Robust deep learning from weakly dependent data8 May 2024
- 2023Penalized deep neural networks estimator with general loss functions under weak dependence10 May 2023
- 2023Sparse-penalized deep neural networks estimator under weak dependence2 Mar 2023
- 2023Excess risk bound for deep learning under weak dependence15 Feb 2023
2 more
- 2023Deep learning for psi-weakly dependent processes1 Feb 2023
- 2022Adaptive deep learning for nonlinear time series models6 Jul 2022
- 2022Adaptive deep learning for nonlinear time series modelscited by 11
- 2023Excess risk bound for deep learning under weak dependencecited by 9
- 2023Sparse-penalized deep neural networks estimator under weak dependencecited by 8
- 2024Robust deep learning from weakly dependent datacited by 5
- 2024Minimax optimality of deep neural networks on dependent data via PAC-Bayes boundscited by 4
- 2024Deep learning from strongly mixing observations: Sparse-penalized regularization and minimax optimalitycited by 3
- 2023Deep learning for psi-weakly dependent processescited by 2
- 2023Penalized deep neural networks estimator with general loss functions under weak dependencecited by 2
- 2024Approximation Bounds for Recurrent Neural Networks with Application to Regressioncited by 2
- 2025A general framework for deep learningcited by 2
- 2024A Subsampling Based Neural Network for Spatial Datacited by 0
- 2026Deep regression learning from dependent observations with minimum error entropy principlecited by 0
12 most cited of 13 All 13 (JSON)
- 2026Adaptive deep nonparametric regression from dependent data under covariate shift22 Jul 2026
- 2026Deep regression learning from dependent observations with minimum error entropy principle11 Mar 2026
- 2025A general framework for deep learning29 Dec 2025
- 2024A Subsampling Based Neural Network for Spatial Data6 Nov 2024
- 2024Minimax optimality of deep neural networks on dependent data via PAC-Bayes bounds29 Oct 2024
- 2024Approximation Bounds for Recurrent Neural Networks with Application to Regression9 Sep 2024
- 2024Deep learning from strongly mixing observations: Sparse-penalized regularization and minimax optimality12 Jun 2024
- 2024Robust deep learning from weakly dependent data8 May 2024
- 2023Penalized deep neural networks estimator with general loss functions under weak dependence10 May 2023
- 2023Sparse-penalized deep neural networks estimator under weak dependence2 Mar 2023
- 2023Excess risk bound for deep learning under weak dependence15 Feb 2023
- 2023Deep learning for psi-weakly dependent processes1 Feb 2023
12 newest of 13 All 13 (JSON)