An extension of McDiarmid's inequality
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Abstract (arXiv)
We generalize McDiarmid's inequality for functions with bounded differences on a high probability set, using an extension argument. Those functions concentrate around their conditional expectations. We further extend the results to concentration in general metric spaces.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). First posted on arXiv 17 Nov 2015.
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Citing papers per year: 2024: 2; 2025: 2; 2026: 5.
9 papers.
- 2024Generalising realisability in statistical learning theory under epistemic uncertaintycited by 5
- 2024Metric Entropy-Free Sample Complexity Bounds for Sample Average Approximation in Convex Stochastic Programmingcited by 1
- 2025Rethinking Federated Learning Over the Air: The Blessing of Scaling Upcited by 1
- 2026Harmful Overfitting in Sobolev Spacescited by 1
- 2025Sharper Risk Bound for Multi-Task Learning with Multi-Graph Dependent Datacited by 0
- 2026Statistical Learning from Attribution Setscited by 0
- 2026On McDiarmid's Inequality under Dependence via Approximate Tensorization of Entropycited by 0
- 2026Extreme Meta-Classification for Large-Scale Zero-Shot Retrievalcited by 0
- 2026A Generalized McDiarmid Inequality: Sample Reuse and Non-Uniform Unbounded Differencescited by 0
- 2026A Generalized McDiarmid Inequality: Sample Reuse and Non-Uniform Unbounded Differences12 Oct 2026
- 2026Extreme Meta-Classification for Large-Scale Zero-Shot Retrieval23 Jun 2026
- 2026On McDiarmid's Inequality under Dependence via Approximate Tensorization of Entropy10 Jun 2026
- 2026Statistical Learning from Attribution Sets6 Feb 2026
- 2026Harmful Overfitting in Sobolev Spaces31 Jan 2026
- 2025Rethinking Federated Learning Over the Air: The Blessing of Scaling Up25 Aug 2025
- 2025Sharper Risk Bound for Multi-Task Learning with Multi-Graph Dependent Data25 Feb 2025
- 2024Generalising realisability in statistical learning theory under epistemic uncertainty22 Feb 2024
- 2024Metric Entropy-Free Sample Complexity Bounds for Sample Average Approximation in Convex Stochastic Programming1 Jan 2024