A Short Note on Concentration Inequalities for Random Vectors with SubGaussian Norm
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Abstract (arXiv)
In this note, we derive concentration inequalities for random vectors with subGaussian norm (a generalization of both subGaussian random vectors and norm bounded random vectors), which are tight up to logarithmic factors.
Key facts. Cited by 106 papers in the map (data through 14 Oct 2026). First posted on arXiv 11 Feb 2019.
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Citing papers per year: 2021: 17; 2022: 18; 2023: 28; 2024: 21; 2025: 17; 2026: 5.
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- 2021A Simple Reward-free Approach to Constrained Reinforcement Learningcited by 30
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- 2023Concentration of Contractive Stochastic Approximation: Additive and Multiplicative Noisecited by 26
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50 most cited of 106 All 106 (JSON)
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38 more
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- 2024Adaptive Batch Size for Privately Finding Second-Order Stationary Points10 Oct 2024
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50 newest of 106 All 106 (JSON)
- 2023Improved Convergence of Score-Based Diffusion Models via Prediction-Correctioncited by 24
- 2024Shallow diffusion networks provably learn hidden low-dimensional structurecited by 12
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- 2025Distribution estimation via Flow Matching with Lipschitz guarantees2 Sep 2025
- 2025Dimension-free Score Matching and Time Bootstrapping for Diffusion Models14 Feb 2025
- 2024Shallow diffusion networks provably learn hidden low-dimensional structure15 Oct 2024
- 2023Improved Convergence of Score-Based Diffusion Models via Prediction-Correction23 May 2023
- 2021Learning with User-Level Privacycited by 72
- 2021Minibatch optimal transport distances; analysis and applicationscited by 65
- 2023Learning time-scales in two-layers neural networkscited by 57
- 2023Generalization in Graph Neural Networks: Improved PAC-Bayesian Bounds on Graph Diffusioncited by 40
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- 2023Provable Guarantees for Generative Behavior Cloning: Bridging Low-Level Stability and High-Level Behaviorcited by 33
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- 2022Faster Rates of Convergence to Stationary Points in Differentially Private Optimizationcited by 32
- 2021Robust Policy Gradient against Strong Data Corruptioncited by 30
- 2021A Simple Reward-free Approach to Constrained Reinforcement Learningcited by 30
- 2024A Unified Confidence Sequence for Generalized Linear Models, with Applications to Banditscited by 29
- 2023Concentration of Contractive Stochastic Approximation: Additive and Multiplicative Noisecited by 26
12 most cited of 96 All 96 (JSON)
- 2026High-Probability Convergence of SGD via Batched Updates11 Sep 2026
- 2026High-Probability Convergence in Decentralized Stochastic Optimization with Gradient Tracking30 Apr 2026
- 2026Instance-optimal stochastic convex optimization: Can we improve upon sample-average and robust stochastic approximation?26 Mar 2026
- 2026Imperfect Influence, Preserved Rankings: A Theory of TRAK for Data Attribution1 Feb 2026
- 2025On the Accuracy of Newton Step and Influence Function Data Attributions14 Dec 2025
- 2025Token Sample Complexity of Attention11 Dec 2025
- 2025High-Probability Bounds For Heterogeneous Local Differential Privacy13 Oct 2025
- 2025High-Probability Convergence Guarantees of Decentralized SGD7 Oct 2025
- 2025Rethinking Langevin Thompson Sampling from A Stochastic Approximation Perspective6 Oct 2025
- 2025Online Decision Making with Generative Action Sets30 Sep 2025
- 2025Privacy Amplification in Differentially Private Zeroth-Order Optimization with Hidden States30 May 2025
- 2025Second-Order Convergence in Private Stochastic Non-Convex Optimization21 May 2025
12 newest of 96 All 96 (JSON)