Lecture Notes: Selected topics on robust statistical learning theory
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Abstract (arXiv)
These notes gather recent results on robust statistical learning theory. The goal is to stress the main principles underlying the construction and theoretical analysis of these estimators rather than provide an exhaustive account on this rapidly growing field. The notes are the basis of lectures given at the conference StatMathAppli 2019.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Aug 2019.
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Citing papers per year: 2021: 3; 2022: 5; 2023: 1; 2024: 3; 2025: 3; 2026: 2.
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- 2022How Does Adaptive Optimization Impact Local Neural Network Geometry?cited by 24
- 2025Computational-Statistical Tradeoffs at the Next-Token Prediction Barrier: Autoregressive and Imitation Learning under Misspecificationcited by 12
- 2021Uniform Concentration Bounds toward a Unified Framework for Robust Clusteringcited by 10
- 2025Offline Reinforcement Learning in Large State Spaces: Algorithms and Guaranteescited by 10
- 2024On the Curses of Future and History in Future-dependent Value Functions for Off-policy Evaluationcited by 9
- 2021Sharper Sub-Weibull Concentrationscited by 8
- 2022Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite Variance Assumptioncited by 6
- 2023Do you know what q-means?cited by 6
- 2024Learning pure quantum states (almost) without regretcited by 5
- 2021Robust Principal Component Analysis: A Median of Means Approachcited by 4
- 2022Sample-optimal classical shadows for pure statescited by 4
- 2022Robust Linear Predictions: Analyses of Uniform Concentration, Fast Rates and Model Misspecificationcited by 0
5 more
- 2022Distribution Estimation of Contaminated Data via DNN-based MoM-GANscited by 0
- 2024Principal eigenstate classical shadowscited by 0
- 2025Convex Clustering Redefined: Robust Learning with the Median of Means Estimatorcited by 0
- 2026Tail-Aware Information-Theoretic Bounds for LLM Alignment under Heavy-Tailed Rewardscited by 0
- 2026Geometric Domain Adaptation via Optimal Transport for Linear Regression in R^2cited by 0
- 2026Geometric Domain Adaptation via Optimal Transport for Linear Regression in R^212 Jun 2026
- 2026Tail-Aware Information-Theoretic Bounds for LLM Alignment under Heavy-Tailed Rewards12 Apr 2026
- 2025Convex Clustering Redefined: Robust Learning with the Median of Means Estimator12 Nov 2025
- 2025Offline Reinforcement Learning in Large State Spaces: Algorithms and Guarantees5 Oct 2025
- 2025Computational-Statistical Tradeoffs at the Next-Token Prediction Barrier: Autoregressive and Imitation Learning under Misspecification18 Feb 2025
- 2024Learning pure quantum states (almost) without regret26 Jun 2024
- 2024Principal eigenstate classical shadows22 May 2024
- 2024On the Curses of Future and History in Future-dependent Value Functions for Off-policy Evaluation22 Feb 2024
- 2023Do you know what q-means?18 Aug 2023
- 2022Distribution Estimation of Contaminated Data via DNN-based MoM-GANs28 Dec 2022
- 2022Sample-optimal classical shadows for pure states21 Nov 2022
- 2022How Does Adaptive Optimization Impact Local Neural Network Geometry?4 Nov 2022
5 more
- 2022Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite Variance Assumption10 Jan 2022
- 2022Robust Linear Predictions: Analyses of Uniform Concentration, Fast Rates and Model Misspecification6 Jan 2022
- 2021Uniform Concentration Bounds toward a Unified Framework for Robust Clustering27 Oct 2021
- 2021Robust Principal Component Analysis: A Median of Means Approach5 Feb 2021
- 2021Sharper Sub-Weibull Concentrations4 Feb 2021
- 2022How Does Adaptive Optimization Impact Local Neural Network Geometry?cited by 24
- 2021Uniform Concentration Bounds toward a Unified Framework for Robust Clusteringcited by 10
- 2024On the Curses of Future and History in Future-dependent Value Functions for Off-policy Evaluationcited by 9
- 2021Sharper Sub-Weibull Concentrationscited by 8
- 2022Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite Variance Assumptioncited by 6
- 2023Do you know what q-means?cited by 6
- 2024Learning pure quantum states (almost) without regretcited by 5
- 2021Robust Principal Component Analysis: A Median of Means Approachcited by 4
- 2022Sample-optimal classical shadows for pure statescited by 4
- 2022Robust Linear Predictions: Analyses of Uniform Concentration, Fast Rates and Model Misspecificationcited by 0
- 2022Distribution Estimation of Contaminated Data via DNN-based MoM-GANscited by 0
- 2024Principal eigenstate classical shadowscited by 0
12 most cited of 14 All 14 (JSON)
- 2026Geometric Domain Adaptation via Optimal Transport for Linear Regression in R^212 Jun 2026
- 2025Convex Clustering Redefined: Robust Learning with the Median of Means Estimator12 Nov 2025
- 2024Learning pure quantum states (almost) without regret26 Jun 2024
- 2024Principal eigenstate classical shadows22 May 2024
- 2024On the Curses of Future and History in Future-dependent Value Functions for Off-policy Evaluation22 Feb 2024
- 2023Do you know what q-means?18 Aug 2023
- 2022Distribution Estimation of Contaminated Data via DNN-based MoM-GANs28 Dec 2022
- 2022Sample-optimal classical shadows for pure states21 Nov 2022
- 2022How Does Adaptive Optimization Impact Local Neural Network Geometry?4 Nov 2022
- 2022Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite Variance Assumption10 Jan 2022
- 2022Robust Linear Predictions: Analyses of Uniform Concentration, Fast Rates and Model Misspecification6 Jan 2022
- 2021Uniform Concentration Bounds toward a Unified Framework for Robust Clustering27 Oct 2021
12 newest of 14 All 14 (JSON)