Projective Proximal Gradient Descent for A Class of Nonconvex Nonsmooth Optimization Problems: Fast Convergence Without Kurdyka-Lojasiewicz (KL) Property
Fuente:
arXiv
Saved in:
| Main Authors: | Yang, Yingzhen, Li, Ping |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Locally Regularized Sparse Graph by Fast Proximal Gradient Descent
by: Sun, Dongfang, et al.
Published: (2024)
by: Sun, Dongfang, et al.
Published: (2024)
Convergence Properties of Natural Gradient Descent for Minimizing KL Divergence
by: Datar, Adwait, et al.
Published: (2025)
by: Datar, Adwait, et al.
Published: (2025)
Convergence of Nonmonotone Proximal Gradient Methods under the Kurdyka-Lojasiewicz Property without a Global Lipschitz Assumption
by: Kanzow, Christian, et al.
Published: (2024)
by: Kanzow, Christian, et al.
Published: (2024)
Faster Gradient-Free Algorithms for Nonsmooth Nonconvex Stochastic Optimization
by: Chen, Lesi, et al.
Published: (2023)
by: Chen, Lesi, et al.
Published: (2023)
Deterministic Nonsmooth Nonconvex Optimization
by: Jordan, Michael I., et al.
Published: (2023)
by: Jordan, Michael I., et al.
Published: (2023)
On Gradient Descent Ascent for Nonconvex-Concave Minimax Problems
by: Lin, Tianyi, et al.
Published: (2019)
by: Lin, Tianyi, et al.
Published: (2019)
A Learned Proximal Alternating Minimization Algorithm and Its Induced Network for a Class of Two-block Nonconvex and Nonsmooth Optimization
by: Chen, Yunmei, et al.
Published: (2024)
by: Chen, Yunmei, 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)
A Local Polyak-Lojasiewicz and Descent Lemma of Gradient Descent For Overparametrized Linear Models
by: Xu, Ziqing, et al.
Published: (2025)
by: Xu, Ziqing, et al.
Published: (2025)
Convergence of Decentralized Stochastic Subgradient-based Methods for Nonsmooth Nonconvex functions
by: Zhang, Siyuan, et al.
Published: (2024)
by: Zhang, Siyuan, et al.
Published: (2024)
Developing Lagrangian-based Methods for Nonsmooth Nonconvex Optimization
by: Xiao, Nachuan, et al.
Published: (2024)
by: Xiao, Nachuan, et al.
Published: (2024)
On the Hardness of Meaningful Local Guarantees in Nonsmooth Nonconvex Optimization
by: Kornowski, Guy, et al.
Published: (2024)
by: Kornowski, Guy, et al.
Published: (2024)
Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization
by: Lin, Tianyi, et al.
Published: (2024)
by: Lin, Tianyi, et al.
Published: (2024)
Open Problem: Anytime Convergence Rate of Gradient Descent
by: Kornowski, Guy, et al.
Published: (2024)
by: Kornowski, Guy, et al.
Published: (2024)
Zeroth-Order Methods for Stochastic Nonconvex Nonsmooth Composite Optimization
by: Chen, Ziyi, et al.
Published: (2025)
by: Chen, Ziyi, et al.
Published: (2025)
A New Convergence Analysis of Plug-and-Play Proximal Gradient Descent Under Prior Mismatch
by: Xu, Guixian, et al.
Published: (2026)
by: Xu, Guixian, et al.
Published: (2026)
On the Convergence of the Gradient Descent Method with Stochastic Fixed-point Rounding Errors under the Polyak-Lojasiewicz Inequality
by: Xia, Lu, et al.
Published: (2023)
by: Xia, Lu, et al.
Published: (2023)
Stochastic Adaptive Gradient Descent Without Descent
by: Aujol, Jean-François, et al.
Published: (2025)
by: Aujol, Jean-François, et al.
Published: (2025)
Improved Last-Iterate Convergence of Shuffling Gradient Methods for Nonsmooth Convex Optimization
by: Liu, Zijian, et al.
Published: (2025)
by: Liu, Zijian, et al.
Published: (2025)
Enhancing Convergence of Decentralized Gradient Tracking under the KL Property
by: Chen, Xiaokai, et al.
Published: (2024)
by: Chen, Xiaokai, et al.
Published: (2024)
Private Zeroth-Order Nonsmooth Nonconvex Optimization
by: Zhang, Qinzi, et al.
Published: (2024)
by: Zhang, Qinzi, et al.
Published: (2024)
Finite-Time Analysis of Stochastic Nonconvex Nonsmooth Optimization on the Riemannian Manifolds
by: Sahinoglu, Emre, et al.
Published: (2025)
by: Sahinoglu, Emre, et al.
Published: (2025)
Using Stochastic Gradient Descent to Smooth Nonconvex Functions: Analysis of Implicit Graduated Optimization
by: Sato, Naoki, et al.
Published: (2023)
by: Sato, Naoki, et al.
Published: (2023)
Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
by: Ding, Kuangyu, et al.
Published: (2023)
by: Ding, Kuangyu, et al.
Published: (2023)
Convergence of Descent Optimization Algorithms under Polyak-Łojasiewicz-Kurdyka Conditions
by: Bento, G. C., et al.
Published: (2024)
by: Bento, G. C., et al.
Published: (2024)
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
by: Zhang, Gavin, et al.
Published: (2025)
by: Zhang, Gavin, et al.
Published: (2025)
Nonsmooth Nonconvex-Nonconcave Minimax Optimization: Primal-Dual Balancing and Iteration Complexity Analysis
by: Li, Jiajin, et al.
Published: (2022)
by: Li, Jiajin, et al.
Published: (2022)
A Single-Loop Smoothed Gradient Descent-Ascent Algorithm for Nonconvex-Concave Min-Max Problems
by: Zhang, Jiawei, et al.
Published: (2020)
by: Zhang, Jiawei, et al.
Published: (2020)
A Bregman Proximal Stochastic Gradient Method with Extrapolation for Nonconvex Nonsmooth Problems
by: Wang, Qingsong, et al.
Published: (2024)
by: Wang, Qingsong, et al.
Published: (2024)
An Algorithm with Optimal Dimension-Dependence for Zero-Order Nonsmooth Nonconvex Stochastic Optimization
by: Kornowski, Guy, et al.
Published: (2023)
by: Kornowski, Guy, et al.
Published: (2023)
Adaptive Matrix Online Learning through Smoothing with Guarantees for Nonsmooth Nonconvex Optimization
by: Jiang, Ruichen, et al.
Published: (2026)
by: Jiang, Ruichen, et al.
Published: (2026)
Improved Sample Complexity for Private Nonsmooth Nonconvex Optimization
by: Kornowski, Guy, et al.
Published: (2024)
by: Kornowski, Guy, et al.
Published: (2024)
Online Optimization Perspective on First-Order and Zero-Order Decentralized Nonsmooth Nonconvex Stochastic Optimization
by: Sahinoglu, Emre, et al.
Published: (2024)
by: Sahinoglu, Emre, et al.
Published: (2024)
Convergence of Spectral Descent for Non-smooth Optimization
by: Yang, Yixuan, et al.
Published: (2026)
by: Yang, Yixuan, et al.
Published: (2026)
Linearly Convergent Algorithms for Nonsmooth Problems with Unknown Smooth Pieces
by: Zhang, Zhe, et al.
Published: (2025)
by: Zhang, Zhe, et al.
Published: (2025)
Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints
by: Zhu, Linglingzhi, et al.
Published: (2026)
by: Zhu, Linglingzhi, et al.
Published: (2026)
Adam-family Methods for Nonsmooth Optimization with Convergence Guarantees
by: Xiao, Nachuan, et al.
Published: (2023)
by: Xiao, Nachuan, et al.
Published: (2023)
A Proximal Modified Quasi-Newton Method for Nonsmooth Regularized Optimization
by: Diouane, Youssef, et al.
Published: (2024)
by: Diouane, Youssef, et al.
Published: (2024)
Convergence Analysis of Stochastic Gradient Descent with MCMC Estimators
by: Li, Tianyou, et al.
Published: (2023)
by: Li, Tianyou, et al.
Published: (2023)
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)
Similar Items
-
Locally Regularized Sparse Graph by Fast Proximal Gradient Descent
by: Sun, Dongfang, et al.
Published: (2024) -
Convergence Properties of Natural Gradient Descent for Minimizing KL Divergence
by: Datar, Adwait, et al.
Published: (2025) -
Convergence of Nonmonotone Proximal Gradient Methods under the Kurdyka-Lojasiewicz Property without a Global Lipschitz Assumption
by: Kanzow, Christian, et al.
Published: (2024) -
Faster Gradient-Free Algorithms for Nonsmooth Nonconvex Stochastic Optimization
by: Chen, Lesi, et al.
Published: (2023) -
Deterministic Nonsmooth Nonconvex Optimization
by: Jordan, Michael I., et al.
Published: (2023)