Revisiting the Geometrically Decaying Step Size: Linear Convergence for Smooth or Non-Smooth Functions
Fuente:
arXiv
Saved in:
| Main Author: | Kim, Jihun |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Analyzing the speed of convergence in nonsmooth optimization via the Goldstein subdifferential with application to descent methods
by: Gebken, Bennet
Published: (2024)
by: Gebken, Bennet
Published: (2024)
Using second-order information in gradient sampling methods for nonsmooth optimization
by: Gebken, Bennet
Published: (2022)
by: Gebken, Bennet
Published: (2022)
Optimization Problems with Difference of Tangentially Convex Functions under Uncertainty
by: Mashkoorzadeh, Feryal, et al.
Published: (2026)
by: Mashkoorzadeh, Feryal, et al.
Published: (2026)
Finding directional stationary points of DC programs
by: Thi, Hoai An Le, et al.
Published: (2026)
by: Thi, Hoai An Le, et al.
Published: (2026)
On the existence and the stability of solutions in nonconvex vector optimization
by: Van Nghi, Tran, et al.
Published: (2025)
by: Van Nghi, Tran, et al.
Published: (2025)
PANOC-lite: A simpler and more efficient algorithm for composite minimization
by: Bodard, Alexander, et al.
Published: (2026)
by: Bodard, Alexander, et al.
Published: (2026)
Moreau envelope and proximal-point methods under the lens of high-order regularization
by: Kabgani, Alireza, et al.
Published: (2025)
by: Kabgani, Alireza, et al.
Published: (2025)
On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions
by: An, Duong Thi Viet, et al.
Published: (2024)
by: An, Duong Thi Viet, et al.
Published: (2024)
Commutation principles for nonsmooth variational problems on Euclidean Jordan algebras
by: Jeong, Juyoung, et al.
Published: (2024)
by: Jeong, Juyoung, et al.
Published: (2024)
Riemannian Trust Region Methods for SC$^1$ Minimization
by: Zhang, Chenyu, et al.
Published: (2023)
by: Zhang, Chenyu, et al.
Published: (2023)
$\ell_0$-Norm Multiobjective Optimization Models Motivated by Applications to Proton Therapy
by: Cong, Xiaoda, et al.
Published: (2025)
by: Cong, Xiaoda, et al.
Published: (2025)
Norm-induced Cuts: Outer Approximation for Lipschitzian Constraint Functions
by: Göß, Adrian, et al.
Published: (2024)
by: Göß, Adrian, et al.
Published: (2024)
(Adaptive) Scaled gradient methods beyond locally Holder smoothness: Lyapunov analysis, convergence rate and complexity
by: Ghaderi, Susan, et al.
Published: (2025)
by: Ghaderi, Susan, et al.
Published: (2025)
Bregman Finito/MISO for nonconvex regularized finite sum minimization without Lipschitz gradient continuity
by: Latafat, Puya, et al.
Published: (2021)
by: Latafat, Puya, et al.
Published: (2021)
Douglas-Rachford splitting and ADMM for nonconvex optimization: Accelerated and Newton-type linesearch algorithms
by: Themelis, Andreas, et al.
Published: (2020)
by: Themelis, Andreas, et al.
Published: (2020)
Approximate optimality conditions and sensitivity analysis in nearly convex optimization
by: Van Tuyen, Nguyen, et al.
Published: (2024)
by: Van Tuyen, Nguyen, et al.
Published: (2024)
A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima
by: Ahookhosh, Masoud, et al.
Published: (2019)
by: Ahookhosh, Masoud, et al.
Published: (2019)
Projected subgradient methods for paraconvex optimization: Application to robust low-rank matrix recovery
by: Rahimi, Morteza, et al.
Published: (2024)
by: Rahimi, Morteza, et al.
Published: (2024)
Block-coordinate and incremental aggregated proximal gradient methods for nonsmooth nonconvex problems
by: Latafat, Puya, et al.
Published: (2019)
by: Latafat, Puya, et al.
Published: (2019)
Projection-based curve pattern search for black-box optimization over smooth convex sets
by: Jia, Xiaoxi, et al.
Published: (2025)
by: Jia, Xiaoxi, et al.
Published: (2025)
Penalty decomposition derivative free method for the minimization of partially separable functions over a convex feasible set
by: Cecere, Francesco, et al.
Published: (2025)
by: Cecere, Francesco, et al.
Published: (2025)
Derivative-Free Bilevel Optimization with Inexact Lower-Level Solutions
by: Cesaroni, Edoardo, et al.
Published: (2026)
by: Cesaroni, Edoardo, et al.
Published: (2026)
Adaptive direct search algorithms for constrained optimization
by: Audet, Charles, et al.
Published: (2025)
by: Audet, Charles, et al.
Published: (2025)
Asymptotic Convergence and Stability of Adaptive Gradient Methods in Smooth Non-convex Optimization
by: Jin, Ruinan, et al.
Published: (2026)
by: Jin, Ruinan, et al.
Published: (2026)
Bridging Batch and Streaming Estimations to System Identification under Adversarial Attacks
by: Kim, Jihun, et al.
Published: (2025)
by: Kim, Jihun, et al.
Published: (2025)
Stationarity in nonsmooth optimization between geometrical motivation and topological relevance
by: Shikhman, Vladimir
Published: (2024)
by: Shikhman, Vladimir
Published: (2024)
Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials
by: Huyen, Luu Thi Thu, et al.
Published: (2026)
by: Huyen, Luu Thi Thu, et al.
Published: (2026)
Tilt stability of Ky-Fan $κ$-norm composite optimization
by: Liu, Yulan, et al.
Published: (2024)
by: Liu, Yulan, et al.
Published: (2024)
Directional Subdifferentials at Infinity and Its Applications
by: Kien, Le Ngoc, et al.
Published: (2025)
by: Kien, Le Ngoc, et al.
Published: (2025)
Approximate directional stationarity and associated qualification conditions
by: Käming, Isabella, et al.
Published: (2026)
by: Käming, Isabella, et al.
Published: (2026)
Convergence Rates for the Alternating Minimization Algorithm in Structured Nonsmooth and Nonconvex Optimization
by: Bento, Glaydston C., et al.
Published: (2026)
by: Bento, Glaydston C., et al.
Published: (2026)
Nonmonotone subgradient methods based on a local descent lemma
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)
First-order majorization-minimization meets high-order majorant: Boosted inexact high-order forward-backward method
by: Kabgani, Alireza, et al.
Published: (2025)
by: Kabgani, Alireza, et al.
Published: (2025)
An interior-point trust-region method for nonsmooth regularized bound-constrained optimization
by: Leconte, Geoffroy, et al.
Published: (2024)
by: Leconte, Geoffroy, et al.
Published: (2024)
SPIRAL: A superlinearly convergent incremental proximal algorithm for nonconvex finite sum minimization
by: Behmandpoor, Pourya, et al.
Published: (2022)
by: Behmandpoor, Pourya, et al.
Published: (2022)
Weak sharp minima at infinity and solution stability in mathematical programming via asymptotic analysis
by: Lara, Felipe, et al.
Published: (2024)
by: Lara, Felipe, et al.
Published: (2024)
Zeroth-order Random Subspace Algorithm for Non-smooth Convex Optimization
by: Nozawa, Ryota, et al.
Published: (2024)
by: Nozawa, Ryota, et al.
Published: (2024)
Solving Regularized Multifacility Location Problems with Unknown Number of Centers via Difference-of-Convex Optimization
by: Geremew, W., et al.
Published: (2026)
by: Geremew, W., et al.
Published: (2026)
A note on the convergence of deterministic gradient sampling in nonsmooth optimization
by: Gebken, Bennet
Published: (2023)
by: Gebken, Bennet
Published: (2023)
On the directional asymptotic approach in optimization theory
by: Benko, Matúš, et al.
Published: (2024)
by: Benko, Matúš, et al.
Published: (2024)
Similar Items
-
Analyzing the speed of convergence in nonsmooth optimization via the Goldstein subdifferential with application to descent methods
by: Gebken, Bennet
Published: (2024) -
Using second-order information in gradient sampling methods for nonsmooth optimization
by: Gebken, Bennet
Published: (2022) -
Optimization Problems with Difference of Tangentially Convex Functions under Uncertainty
by: Mashkoorzadeh, Feryal, et al.
Published: (2026) -
Finding directional stationary points of DC programs
by: Thi, Hoai An Le, et al.
Published: (2026) -
On the existence and the stability of solutions in nonconvex vector optimization
by: Van Nghi, Tran, et al.
Published: (2025)