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Main Authors:	Huang, Wei, Cao, Yuan, Wang, Haonan, Cao, Xin, Suzuki, Taiji
Format:	Preprint
Published:	2023
Subjects:	Machine Learning
Online Access:	https://arxiv.org/abs/2306.13926
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Towards a Unified Analysis of Neural Networks in Nonparametric Instrumental Variable Regression: Optimization and Generalization
by: Chen, Zonghao, et al.
Published: (2025)

Mean-field Analysis on Two-layer Neural Networks from a Kernel Perspective
by: Takakura, Shokichi, et al.
Published: (2024)

On the Comparison between Multi-modal and Single-modal Contrastive Learning
by: Huang, Wei, et al.
Published: (2024)

Optimizing Genetic Algorithms with Multilayer Perceptron Networks for Enhancing TinyFace Recognition
by: Al-Batah, Mohammad Subhi, et al.
Published: (2025)

Simple Full-Spectrum Correlated k-Distribution Model based on Multilayer Perceptron
by: Wang, Xin, et al.
Published: (2024)

Mamba Can Learn Low-Dimensional Targets In-Context via Test-Time Feature Learning
by: Oh, Junsoo, et al.
Published: (2025)

The Mechanism of Weak-to-Strong Generalization: Feature Elicitation from Latent Knowledge
by: Awano, Ryoya, et al.
Published: (2026)

In-Context Learning Is Provably Bayesian Inference: A Generalization Theory for Meta-Learning
by: Wakayama, Tomoya, et al.
Published: (2025)

Direct Density Ratio Optimization: A Statistically Consistent Approach to Aligning Large Language Models
by: Higuchi, Rei, et al.
Published: (2025)

Latent Space Topology Evolution in Multilayer Perceptrons
by: Paluzo-Hidalgo, Eduardo
Published: (2025)

Penalty Learning for Optimal Partitioning using Multilayer Perceptron
by: Nguyen, Tung L, et al.
Published: (2024)

Peptidomic-Based Prediction Model for Coronary Heart Disease Using a Multilayer Perceptron Neural Network
by: Celis-Porras, Jesus
Published: (2025)

On the Optimization and Generalization of Two-layer Transformers with Sign Gradient Descent
by: Li, Bingrui, et al.
Published: (2024)

Ranked Set Sampling-Based Multilayer Perceptron: Improving Generalization via Variance-Based Bounds
by: Li, Feijiang, et al.
Published: (2025)

Kolmogorov-Arnold Networks in Low-Data Regimes: A Comparative Study with Multilayer Perceptrons
by: Pourkamali-Anaraki, Farhad
Published: (2024)

Approximation and Estimation Ability of Transformers for Sequence-to-Sequence Functions with Infinite Dimensional Input
by: Takakura, Shokichi, et al.
Published: (2023)

Transformers Learn Nonlinear Features In Context: Nonconvex Mean-field Dynamics on the Attention Landscape
by: Kim, Juno, et al.
Published: (2024)

Deep Two-Way Matrix Reordering for Relational Data Analysis
by: Watanabe, Chihiro, et al.
Published: (2021)

State Space Models are Provably Comparable to Transformers in Dynamic Token Selection
by: Nishikawa, Naoki, et al.
Published: (2024)

Transformers Provably Solve Parity Efficiently with Chain of Thought
by: Kim, Juno, et al.
Published: (2024)

Test time training enhances in-context learning of nonlinear functions
by: Kuwataka, Kento, et al.
Published: (2025)

Transformers as Measure-Theoretic Associative Memory: A Statistical Perspective and Minimax Optimality
by: Kawata, Ryotaro, et al.
Published: (2026)

Theoretical Compression Bounds for Wide Multilayer Perceptrons
by: Cheairi, Houssam El, et al.
Published: (2025)

Generalization Bound of Gradient Flow through Training Trajectory and Data-dependent Kernel
by: Chen, Yilan, et al.
Published: (2025)

Universal Approximation Theorem for Input-Connected Multilayer Perceptrons
by: Ismailov, Vugar
Published: (2026)

Direct Distributional Optimization for Provable Alignment of Diffusion Models
by: Kawata, Ryotaro, et al.
Published: (2025)

Bespoke Approximation of Multiplication-Accumulation and Activation Targeting Printed Multilayer Perceptrons
by: Afentaki, Florentia, et al.
Published: (2023)

How Neural Reward Models Learn Features for Policy Optimization: A Single-Index Analysis
by: Higuchi, Rei, et al.
Published: (2026)

Unveil Benign Overfitting for Transformer in Vision: Training Dynamics, Convergence, and Generalization
by: Jiang, Jiarui, et al.
Published: (2024)

Batch Matrix-form Equations and Implementation of Multilayer Perceptrons
by: Wesselink, Wieger, et al.
Published: (2025)

Trained Mamba Emulates Online Gradient Descent in In-Context Linear Regression
by: Jiang, Jiarui, et al.
Published: (2025)

[Experiments & Analysis] Evaluating the Feasibility of Sampling-Based Techniques for Training Multilayer Perceptrons
by: Ebrahimi, Sana, et al.
Published: (2023)

Neural network learns low-dimensional polynomials with SGD near the information-theoretic limit
by: Lee, Jason D., et al.
Published: (2024)

Provably Neural Active Learning Succeeds via Prioritizing Perplexing Samples
by: Bu, Dake, et al.
Published: (2024)

On the Learning Dynamics of Two-layer Linear Networks with Label Noise SGD
by: Zhang, Tongcheng, et al.
Published: (2026)

From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space
by: Lascu, Razvan-Andrei, et al.
Published: (2026)

Optimality and Adaptivity of Deep Neural Features for Instrumental Variable Regression
by: Kim, Juno, et al.
Published: (2025)

Degrees of Freedom for Linear Attention: Distilling Softmax Attention with Optimal Feature Efficiency
by: Nishikawa, Naoki, et al.
Published: (2025)

Transformers are Minimax Optimal Nonparametric In-Context Learners
by: Kim, Juno, 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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