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Main Authors:	Li, Yuanfan, Lei, Yunwen, Guo, Zheng-Chu, Ying, Yiming
Format:	Preprint
Published:	2025
Subjects:	Machine Learning
Online Access:	https://arxiv.org/abs/2510.02779
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Generalization Guarantees of Gradient Descent for Multi-Layer Neural Networks
by: Wang, Puyu, et al.
Published: (2023)

Nearly Optimal Differentially Private ReLU Regression
by: Ding, Meng, et al.
Published: (2025)

Activation-Descent Regularization for Input Optimization of ReLU Networks
by: Yu, Hongzhan, et al.
Published: (2024)

N-ReLU: Zero-Mean Stochastic Extension of ReLU
by: Manik, Md Motaleb Hossen, et al.
Published: (2025)

The Resurrection of the ReLU
by: Horuz, Coşku Can, et al.
Published: (2025)

Discrete Functional Geometry of ReLU Networks via ReLU Transition Graphs
by: Dhayalkar, Sahil Rajesh
Published: (2025)

Optimal Sets and Solution Paths of ReLU Networks
by: Mishkin, Aaron, et al.
Published: (2023)

The Geometry of ReLU Networks through the ReLU Transition Graph
by: Dhayalkar, Sahil Rajesh
Published: (2025)

Stochastic Gradient Descent with Momentum is Algorithmically Stable
by: Lei, Yunwen, et al.
Published: (2026)

Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Network
by: Oh, Hyunseok, et al.
Published: (2024)

Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2022)

SurvReLU: Inherently Interpretable Survival Analysis via Deep ReLU Networks
by: Sun, Xiaotong, et al.
Published: (2024)

Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
by: Li, Yuwen, et al.
Published: (2025)

Some Super-approximation Rates of ReLU Neural Networks for Korobov Functions
by: Li, Yuwen, et al.
Published: (2025)

Directional Convergence, Benign Overfitting of Gradient Descent in leaky ReLU two-layer Neural Networks
by: Hashimoto, Ichiro
Published: (2025)

Component-based Sketching for Deep ReLU Nets
by: Wang, Di, et al.
Published: (2024)

Universal Consistency of Wide and Deep ReLU Neural Networks and Minimax Optimal Convergence Rates for Kolmogorov-Donoho Optimal Function Classes
by: Ko, Hyunouk, et al.
Published: (2024)

On the Local Complexity of Linear Regions in Deep ReLU Networks
by: Patel, Niket, et al.
Published: (2024)

Implicit Hypersurface Approximation Capacity in Deep ReLU Networks
by: Vallin, Jonatan, et al.
Published: (2024)

How Does the ReLU Activation Affect the Implicit Bias of Gradient Descent on High-dimensional Neural Network Regression?
by: Lai, Kuo-Wei, et al.
Published: (2026)

Deep ReLU Networks Have Surprisingly Simple Polytopes
by: Fan, Feng-Lei, et al.
Published: (2023)

Is ReLU Adversarially Robust?
by: Sooksatra, Korn, et al.
Published: (2024)

Deep Network Approximation: Beyond ReLU to Diverse Activation Functions
by: Zhang, Shijun, et al.
Published: (2023)

Complexity of One-Dimensional ReLU DNNs
by: Kogan, Jonathan, et al.
Published: (2025)

Symmetric Matrix Completion with ReLU Sampling
by: Liu, Huikang, et al.
Published: (2024)

Two-Dimensional Deep ReLU CNN Approximation for Korobov Functions: A Constructive Approach
by: Fang, Qin, et al.
Published: (2025)

ReLU Networks for Exact Generation of Similar Graphs
by: Ghafoor, Mamoona, et al.
Published: (2026)

Optimal Initialization in Depth: Lyapunov Initialization and Limit Theorems for Deep Leaky ReLU Networks
by: Kogler, Constantin, et al.
Published: (2026)

Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs
by: Boursier, Etienne, et al.
Published: (2022)

ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU
by: Qiu, Qi, et al.
Published: (2024)

Stability-based Generalization Analysis of Randomized Coordinate Descent for Pairwise Learning
by: Wu, Liang, et al.
Published: (2025)

Beyond ReLU: Chebyshev-DQN for Enhanced Deep Q-Networks
by: Yazdannik, Saman, et al.
Published: (2025)

Sobolev Approximation of Deep ReLU Networks in Log-Barron Space
by: Song, Changhoon, et al.
Published: (2026)

Constraining the outputs of ReLU neural networks
by: Alexandr, Yulia, et al.
Published: (2025)

Toric geometry of ReLU neural networks
by: Fu, Yaoying
Published: (2025)

Pathwise Explanation of ReLU Neural Networks
by: Lim, Seongwoo, et al.
Published: (2025)

Optimized Weight Initialization on the Stiefel Manifold for Deep ReLU Neural Networks
by: Lee, Hyungu, et al.
Published: (2025)

Injectivity capacity of ReLU gates
by: Stojnic, Mihailo
Published: (2024)

Why ReLU? A Bit-Model Dichotomy for Deep Network Training
by: Doron-Arad, Ilan, et al.
Published: (2026)

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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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