Adaptive distributed methods under communication constraints
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Abstract (arXiv)
We study distributed estimation methods under communication constraints in a distributed version of the nonparametric random design regression model. We derive minimax lower bounds and exhibit methods that attain those bounds. Moreover, we show that adaptive estimation is possible in this setting.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Apr 2018.
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Citing papers per year: 2021: 2; 2022: 2; 2023: 1; 2024: 1; 2025: 2; 2026: 1.
9 papers.
- 2024Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraintscited by 7
- 2025Sequential 1-bit Mean Estimation with Near-Optimal Sample Complexitycited by 5
- 2026Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimescited by 5
- 2021Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptationcited by 4
- 2021Distributed Sparse Normal Means Estimation with Sublinear Communicationcited by 3
- 2022Optimal high-dimensional and nonparametric distributed testing under communication constraintscited by 3
- 2022Distributed Nonparametric Estimation under Communication Constraintscited by 2
- 2023Distributed Sparse Linear Regression under Communication Constraintscited by 0
- 2025Adaptive Resolution for Finite-Rank Gaussian Processescited by 0
- 2026Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes9 Apr 2026
- 2025Sequential 1-bit Mean Estimation with Near-Optimal Sample Complexity26 Sep 2025
- 2025Adaptive Resolution for Finite-Rank Gaussian Processes29 May 2025
- 2024Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraints10 Jun 2024
- 2023Distributed Sparse Linear Regression under Communication Constraints9 Jan 2023
- 2022Distributed Nonparametric Estimation under Communication Constraints21 Apr 2022
- 2022Optimal high-dimensional and nonparametric distributed testing under communication constraints2 Feb 2022
- 2021Distributed Nonparametric Function Estimation: Optimal Rate of Convergence and Cost of Adaptation1 Jul 2021
- 2021Distributed Sparse Normal Means Estimation with Sublinear Communication5 Feb 2021