Stability and Generalization of Nonconvex Optimization with Heavy-Tailed Noise
Fuente:
arXiv
Saved in:
| Main Authors: | Chen, Hongxu, Wei, Ke, Yuan, Xiaoming, Luo, Luo |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Optimal Asynchronous Stochastic Nonconvex Optimization under Heavy-Tailed Noise
by: Wu, Yidong, et al.
Published: (2026)
by: Wu, Yidong, et al.
Published: (2026)
Near-Optimal Decentralized Stochastic Nonconvex Optimization with Heavy-Tailed Noise
by: Wang, Menglian, et al.
Published: (2026)
by: Wang, Menglian, et al.
Published: (2026)
Stochastic Bilevel Optimization with Heavy-Tailed Noise
by: Liu, Zhuanghua, et al.
Published: (2025)
by: Liu, Zhuanghua, et al.
Published: (2025)
Decentralized Non-convex Stochastic Optimization with Heterogeneous Variance
by: Chen, Hongxu, et al.
Published: (2026)
by: Chen, Hongxu, et al.
Published: (2026)
Sign-Based Optimizers Are Effective Under Heavy-Tailed Noise
by: Yu, Dingzhi, et al.
Published: (2026)
by: Yu, Dingzhi, et al.
Published: (2026)
Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping
by: Liu, Zijian, et al.
Published: (2024)
by: Liu, Zijian, et al.
Published: (2024)
Revisiting Gradient Normalization and Clipping for Nonconvex SGD under Heavy-Tailed Noise: Necessity, Sufficiency, and Acceleration
by: Sun, Tao, et al.
Published: (2024)
by: Sun, Tao, et al.
Published: (2024)
Muon Converges under Heavy-Tailed Noise: Nonconvex Hölder-Smooth Empirical Risk Minimization
by: Iiduka, Hideaki
Published: (2026)
by: Iiduka, Hideaki
Published: (2026)
Efficient Distributed Optimization under Heavy-Tailed Noise
by: Lee, Su Hyeong, et al.
Published: (2025)
by: Lee, Su Hyeong, et al.
Published: (2025)
Federated Stochastic Minimax Optimization under Heavy-Tailed Noises
by: Zhang, Xinwen, et al.
Published: (2025)
by: Zhang, Xinwen, et al.
Published: (2025)
Faster Gradient-Free Algorithms for Nonsmooth Nonconvex Stochastic Optimization
by: Chen, Lesi, et al.
Published: (2023)
by: Chen, Lesi, et al.
Published: (2023)
Stochastic Weakly Convex Optimization Under Heavy-Tailed Noises
by: Zhu, Tianxi, et al.
Published: (2025)
by: Zhu, Tianxi, et al.
Published: (2025)
Decentralized Stochastic Nonconvex Optimization under the Relaxed Smoothness
by: Luo, Luo, et al.
Published: (2025)
by: Luo, Luo, et al.
Published: (2025)
Global Dynamics of Heavy-Tailed SGDs in Nonconvex Loss Landscape: Characterization and Control
by: Wang, Xingyu, et al.
Published: (2025)
by: Wang, Xingyu, et al.
Published: (2025)
An Efficient Stochastic Algorithm for Decentralized Nonconvex-Strongly-Concave Minimax Optimization
by: Chen, Lesi, et al.
Published: (2022)
by: Chen, Lesi, et al.
Published: (2022)
On the Complexity of Decentralized Smooth Nonconvex Finite-Sum Optimization
by: Luo, Luo, et al.
Published: (2022)
by: Luo, Luo, et al.
Published: (2022)
Asynchronous Heavy-Tailed Optimization
by: Sun, Junfei, et al.
Published: (2026)
by: Sun, Junfei, et al.
Published: (2026)
Algorithmic Stability of Stochastic Gradient Descent with Momentum under Heavy-Tailed Noise
by: Dang, Thanh, et al.
Published: (2025)
by: Dang, Thanh, et al.
Published: (2025)
Can SGD Handle Heavy-Tailed Noise?
by: Fatkhullin, Ilyas, et al.
Published: (2025)
by: Fatkhullin, Ilyas, et al.
Published: (2025)
Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise
by: Zhang, Jiayu, et al.
Published: (2026)
by: Zhang, Jiayu, et al.
Published: (2026)
Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise
by: Agrawal, Shubhada, et al.
Published: (2026)
by: Agrawal, Shubhada, et al.
Published: (2026)
Robust-GBDT: GBDT with Nonconvex Loss for Tabular Classification in the Presence of Label Noise and Class Imbalance
by: Luo, Jiaqi, et al.
Published: (2023)
by: Luo, Jiaqi, et al.
Published: (2023)
Breaking the Heavy-Tailed Noise Barrier in Stochastic Optimization Problems
by: Puchkin, Nikita, et al.
Published: (2023)
by: Puchkin, Nikita, et al.
Published: (2023)
High Probability Complexity Bounds for Non-Smooth Stochastic Optimization with Heavy-Tailed Noise
by: Gorbunov, Eduard, et al.
Published: (2021)
by: Gorbunov, Eduard, et al.
Published: (2021)
Understanding Robust Machine Learning for Nonparametric Regression with Heavy-Tailed Noise
by: Feng, Yunlong, et al.
Published: (2025)
by: Feng, Yunlong, et al.
Published: (2025)
Robust Offline Reinforcement learning with Heavy-Tailed Rewards
by: Zhu, Jin, et al.
Published: (2023)
by: Zhu, Jin, et al.
Published: (2023)
Second-order Optimization under Heavy-Tailed Noise: Hessian Clipping and Sample Complexity Limits
by: Sadiev, Abdurakhmon, et al.
Published: (2025)
by: Sadiev, Abdurakhmon, et al.
Published: (2025)
Clipped Gradient Methods for Nonsmooth Convex Optimization under Heavy-Tailed Noise: A Refined Analysis
by: Liu, Zijian
Published: (2025)
by: Liu, Zijian
Published: (2025)
Convergence of Clipped-SGD for Convex $(L_0,L_1)$-Smooth Optimization with Heavy-Tailed Noise
by: Chezhegov, Savelii, et al.
Published: (2025)
by: Chezhegov, Savelii, et al.
Published: (2025)
In-Expectation Convergence of Stochastic Gradient Methods under Heavy-Tailed Noise
by: Liu, Zijian
Published: (2026)
by: Liu, Zijian
Published: (2026)
Tail Annealing for Heavy-Tailed Flow Matching
by: Pachebat, Jean
Published: (2026)
by: Pachebat, Jean
Published: (2026)
On the Performance of Differentially Private Optimization with Heavy-Tail Class Imbalance
by: Tang, Qiaoyue, et al.
Published: (2025)
by: Tang, Qiaoyue, et al.
Published: (2025)
Heavy-Tail Phenomenon in Decentralized SGD
by: Gurbuzbalaban, Mert, et al.
Published: (2022)
by: Gurbuzbalaban, Mert, et al.
Published: (2022)
TRAP: Tail-aware Ranking Attack for World-Model Planning
by: Duan, Siyuan, et al.
Published: (2026)
by: Duan, Siyuan, et al.
Published: (2026)
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
by: Wang, Tianming, et al.
Published: (2024)
by: Wang, Tianming, et al.
Published: (2024)
Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition
by: Choudhury, Sayantan, et al.
Published: (2026)
by: Choudhury, Sayantan, et al.
Published: (2026)
Robust and Computationally Efficient Linear Contextual Bandits under Adversarial Corruption and Heavy-Tailed Noise
by: Tani, Naoto, et al.
Published: (2026)
by: Tani, Naoto, et al.
Published: (2026)
Heavy-Tailed Diffusion Models
by: Pandey, Kushagra, et al.
Published: (2024)
by: Pandey, Kushagra, et al.
Published: (2024)
Robust Federated Learning Over the Air: Combating Heavy-Tailed Noise with Median Anchored Clipping
by: Li, Jiaxing, et al.
Published: (2024)
by: Li, Jiaxing, et al.
Published: (2024)
On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization
by: Zhou, Dongruo, et al.
Published: (2018)
by: Zhou, Dongruo, et al.
Published: (2018)
Similar Items
-
Optimal Asynchronous Stochastic Nonconvex Optimization under Heavy-Tailed Noise
by: Wu, Yidong, et al.
Published: (2026) -
Near-Optimal Decentralized Stochastic Nonconvex Optimization with Heavy-Tailed Noise
by: Wang, Menglian, et al.
Published: (2026) -
Stochastic Bilevel Optimization with Heavy-Tailed Noise
by: Liu, Zhuanghua, et al.
Published: (2025) -
Decentralized Non-convex Stochastic Optimization with Heterogeneous Variance
by: Chen, Hongxu, et al.
Published: (2026) -
Sign-Based Optimizers Are Effective Under Heavy-Tailed Noise
by: Yu, Dingzhi, et al.
Published: (2026)