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Main Authors:	Fattah, Zakaria, Ftouhi, Ilias, Zuazua, Enrique
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control
Online Access:	https://arxiv.org/abs/2501.00928
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Improved description of Blaschke--Santaló diagrams via numerical shape optimization
by: Ftouhi, Ilias
Published: (2025)

Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains
by: Ftouhi, Ilias
Published: (2025)

Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
by: Ftouhi, Ilias
Published: (2025)

The monotonicity of the Cheeger constant for parallel bodies
by: Ftouhi, Ilias
Published: (2024)

The diagram $(λ_1,μ_1)$
by: Ftouhi, Ilias, et al.
Published: (2025)

Numerical exploration of the range of shape functionals using neural networks
by: Martinet, Eloi, et al.
Published: (2026)

Geometric properties of optimizers for the maximum gradient of the torsion function
by: Burdzy, Krzysztof, et al.
Published: (2025)

Inner approximations of convex sets and intersections of projectionally exposed cones
by: Lourenço, Bruno F., et al.
Published: (2025)

Exact Controllability and Stabilization of the Wave Equation
by: Zuazua, Enrique
Published: (2024)

Optimal triangulations for piecewise linear approximations of non-convex variable products
by: Burlacu, Robert, et al.
Published: (2026)

Convexification of classes of mixed-integer sets with L$^\natural$-convexity
by: Yu, Qimeng, et al.
Published: (2025)

Approximations of unbounded convex projections and unbounded convex sets
by: Kováčová, Gabriela, et al.
Published: (2023)

On the approximation error for approximating convex bodies using multiobjective optimization
by: Löhne, Andreas, et al.
Published: (2021)

Turnpike in optimal control and beyond: a survey
by: Trélat, Emmanuel, et al.
Published: (2025)

Study of the behaviour of Nesterov Accelerated Gradient in a non convex setting: the strongly quasar convex case
by: Hermant, Julien, et al.
Published: (2024)

A reverse isoperimetric inequality for the Cheeger constant under width constraint
by: Ftouhi, Ilias, et al.
Published: (2025)

Some properties of sets, functions, and multi-objective optimization problems using p-convexity
by: Vera, Cristian
Published: (2026)

Machine Learning and Control: Foundations, Advances, and Perspectives
by: Zuazua, Enrique
Published: (2025)

Pattern control via Diffussion interaction
by: Ruiz-Balet, Domènec, et al.
Published: (2024)

Stochastic halfspace approximation method for convex optimization with nonsmooth functional constraints
by: Singh, Nitesh Kumar, et al.
Published: (2024)

Learning based convex approximation for constrained parametric optimization
by: Liu, Kang, et al.
Published: (2025)

Optimal Stochastic Non-smooth Non-convex Optimization through Online-to-Non-convex Conversion
by: Cutkosky, Ashok, et al.
Published: (2023)

Hypodifferentials of nonsmooth convex functions and their applications to nonsmooth convex optimization
by: Dolgopolik, M. V.
Published: (2023)

Closest univariate convex linear-quadratic function approximation with minimal number of Pieces
by: Kundu, Namrata, et al.
Published: (2025)

Multi-cut stochastic approximation methods for solving stochastic convex composite optimization
by: Liang, Jiaming, et al.
Published: (2025)

A stochastic moving ball approximation method for smooth convex constrained minimization
by: Singh, Nitesh Kumar, et al.
Published: (2024)

Null control of heat equations with analytic memory kernels
by: Lü, Qi, et al.
Published: (2025)

Stability and Convergence of a Randomized Model Predictive Control Strategy
by: Veldman, Daniël, et al.
Published: (2022)

Fully Discrete High-Order DG Schemes for Waves: Dispersion and Observability
by: Li, Yunzhang, et al.
Published: (2026)

Tracking controllability for the heat equation
by: Petiso, Jon Asier Bárcena, et al.
Published: (2023)

Approximating the set of Nash equilibria for convex games
by: Feinstein, Zachary, et al.
Published: (2023)

An iterative process for the feasibility-seeking problem with sets that are unions of convex sets
by: Censor, Yair, et al.
Published: (2025)

Tracking controllability for finite-dimensional linear systems
by: Zamorano, Sebastián, et al.
Published: (2024)

pycvxset: A Python package for convex set manipulation
by: Vinod, Abraham P.
Published: (2024)

The natural ordering cone of a polyhedral convex set-valued objective mapping
by: Löhne, Andreas
Published: (2023)

Face relative interior of convex sets in topological vector spaces
by: án, Reinier Díaz Mill, et al.
Published: (2023)

Research on the descent direction of prediction correction algorithms for pseudo-convex/convex optimization problems
by: Li, Ting, et al.
Published: (2025)

Universal subgradient and proximal bundle methods for convex and strongly convex hybrid composite optimization
by: Guigues, Vincent, et al.
Published: (2024)

On the supporting quasi-hyperplane and separation theorem of geodesic convex sets with applications on Riemannian manifolds
by: Zhou, Li-wen, et al.
Published: (2024)

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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; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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