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Main Authors:	Jeong, Juyoung, Sossa, David
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control 17C99, 17C30, 49J52, 90C56, 90C99
Online Access:	https://arxiv.org/abs/2403.09578
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Using second-order information in gradient sampling methods for nonsmooth optimization
by: Gebken, Bennet
Published: (2022)

Analyzing the speed of convergence in nonsmooth optimization via the Goldstein subdifferential with application to descent methods
by: Gebken, Bennet
Published: (2024)

Revisiting the Geometrically Decaying Step Size: Linear Convergence for Smooth or Non-Smooth Functions
by: Kim, Jihun
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)

The Least Singular Value Function in Variational Analysis
by: Jelitte, Mario, et al.
Published: (2025)

An interior-point trust-region method for nonsmooth regularized bound-constrained optimization
by: Leconte, Geoffroy, et al.
Published: (2024)

Semi-analytical Approach to Trajectory Optimization for Stacker Cranes Regarding Energy Saving
by: Zöllner, R., et al.
Published: (2025)

Quadratic optimal transportation problem with a positive semi definite structure on the cost function
by: Jeong, Seonghyeon
Published: (2024)

Adaptive direct search algorithms for constrained optimization
by: Audet, Charles, et al.
Published: (2025)

Enhancing sharp augmented Lagrangian methods with smoothing techniques for nonlinear programming
by: Romero, José Luis, et al.
Published: (2024)

Block-coordinate and incremental aggregated proximal gradient methods for nonsmooth nonconvex problems
by: Latafat, Puya, et al.
Published: (2019)

Commutation principles for optimization problems involving strictly Schur-convex functions in Euclidean Jordan algebras
by: Massey, Pedro G., et al.
Published: (2025)

Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization
by: Hang, Nguyen T. V., et al.
Published: (2023)

Nonsmooth Riemannian optimization with inexact manifold primitives via bundle methods
by: Díaz, Mateo, et al.
Published: (2026)

Tilt stability of Ky-Fan $κ$-norm composite optimization
by: Liu, Yulan, et al.
Published: (2024)

Optimization Problems with Nearly Convex Objective Functions and Nearly Convex Constraint Sets
by: Thieu, Nguyen Nang, et al.
Published: (2026)

On the existence and the stability of solutions in nonconvex vector optimization
by: Van Nghi, Tran, et al.
Published: (2025)

Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials
by: Huyen, Luu Thi Thu, et al.
Published: (2026)

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)

Directional Subdifferentials at Infinity and Its Applications
by: Kien, Le Ngoc, et al.
Published: (2025)

Approximate directional stationarity and associated qualification conditions
by: Käming, Isabella, et al.
Published: (2026)

Stationarity in nonsmooth optimization between geometrical motivation and topological relevance
by: Shikhman, Vladimir
Published: (2024)

Moreau envelope and proximal-point methods under the lens of high-order regularization
by: Kabgani, Alireza, et al.
Published: (2025)

Bounding the density of spherical polygon packings
by: Filho, Fernando Mário de Oliveira, et al.
Published: (2026)

On approximate Pareto solutions in nonsmooth interval-valued multiobjective optimization with data uncertainty in constraints
by: Quan, Vu Hong, et al.
Published: (2025)

MGProx: A nonsmooth multigrid proximal gradient method with adaptive restriction for strongly convex optimization
by: Ang, Andersen, et al.
Published: (2023)

PANOC-lite: A simpler and more efficient algorithm for composite minimization
by: Bodard, Alexander, et al.
Published: (2026)

On second-order Karush--Kuhn--Tucker optimality conditions for $C^{1,1}$ vector optimization problems
by: Van Tuyen, Nguyen
Published: (2025)

Optimality conditions at infinity for nonsmooth minimax programming
by: Van Tuyen, Nguyen, et al.
Published: (2024)

On the directional asymptotic approach in optimization theory
by: Benko, Matúš, et al.
Published: (2024)

A new problem qualification based on approximate KKT conditions for Lipschitzian optimization with application to bilevel programming
by: Käming, Isabella, et al.
Published: (2024)

Zeroth-order Random Subspace Algorithm for Non-smooth Convex Optimization
by: Nozawa, Ryota, et al.
Published: (2024)

A third order dynamical system for generalized monotone equation
by: Hai, Pham Viet, et al.
Published: (2024)

Copositive and completely positive cones over symmetric cones of rank at least 5
by: Nishijima, Mitsuhiro
Published: (2026)

Stratification for Nonlinear Semidefinite Programming
by: Bao, Chenglong, et al.
Published: (2026)

A note on the convergence of deterministic gradient sampling in nonsmooth optimization
by: Gebken, Bennet
Published: (2023)

A Jacobi-type Newton method for Nash equilibrium problems with descent guarantees
by: Kolossoski, Oliver, et al.
Published: (2022)

Complexity of trust-region methods with unbounded Hessian approximations for smooth and nonsmooth optimization
by: Leconte, Geoffroy, et al.
Published: (2023)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

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