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Bibliographic Details
Main Author:	Nakakita, Shogo
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Statistics Theory
Online Access:	https://arxiv.org/abs/2505.16713
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Non-asymptotic analysis of Langevin-type Monte Carlo algorithms
by: Nakakita, Shogo
Published: (2023)

Benign Overfitting in Time Series Linear Models with Over-Parameterization
by: Nakakita, Shogo, et al.
Published: (2022)

Sparse estimation for the drift of high-dimensional Ornstein--Uhlenbeck processes with i.i.d. paths
by: Nakakita, Shogo
Published: (2025)

Sharp bounds on aggregate expert error
by: Kontorovich, Aryeh, et al.
Published: (2024)

Dimension-free Bounds for Sum of Dependent Matrices and Operators with Heavy-Tailed Distribution
by: Nakakita, Shogo, et al.
Published: (2022)

Adaptive posterior concentration rates for sparse high-dimensional linear regression with random design and unknown error variance
by: Mai, The Tien
Published: (2024)

Sharp asymptotic theory for Q-learning with LDTZ learning rate and its generalization
by: Bonnerjee, Soham, et al.
Published: (2026)

Learning sparse generalized linear models with binary outcomes via iterative hard thresholding
by: Matsumoto, Namiko, et al.
Published: (2025)

Max-sliced Wasserstein concentration and uniform ratio bounds of empirical measures on RKHS
by: Han, Ruiyu, et al.
Published: (2024)

Universality laws for Gaussian mixtures in generalized linear models
by: Dandi, Yatin, et al.
Published: (2023)

Optimal and exact recovery on general non-uniform Hypergraph Stochastic Block Model
by: Dumitriu, Ioana, et al.
Published: (2023)

On public and private binary classification with metric space valued predictors
by: Györfi, László, et al.
Published: (2026)

Dimension-free bounds in high-dimensional linear regression via error-in-operator approach
by: Noskov, Fedor, et al.
Published: (2025)

A renormalization-group inspired lattice-based framework for piecewise generalized linear models
by: Chang, Joshua C.
Published: (2026)

Sharp Gaussian approximations for Decentralized Federated Learning
by: Bonnerjee, Soham, et al.
Published: (2025)

On sample complexity for covariance estimation via the unadjusted Langevin algorithm
by: Nakakita, Shogo
Published: (2026)

Sharp Bounds for Poly-GNNs and the Effect of Graph Noise
by: Vinas, Luciano, et al.
Published: (2024)

Simplicity Bias via Global Convergence of Sharpness Minimization
by: Gatmiry, Khashayar, et al.
Published: (2024)

Sharp Risk Bounds for Early-Stopping in Gaussian Linear Regression
by: Wegel, Tobias, et al.
Published: (2025)

Training Diagonal Linear Networks with Stochastic Sharpness-Aware Minimization
by: Clara, Gabriel, et al.
Published: (2025)

Efficient Sampling with Discrete Diffusion Models: Sharp and Adaptive Guarantees
by: Dmitriev, Daniil, et al.
Published: (2026)

Minimax optimal submatrix detection: Sharp non-asymptotic rates
by: Knight, Parker, et al.
Published: (2026)

Sharp Inequalities between Total Variation and Hellinger Distances for Gaussian Mixtures
by: Jung, Joonhyuk, et al.
Published: (2026)

The Adaptivity Barrier in Batched Nonparametric Bandits: Sharp Characterization of the Price of Unknown Margin
by: Jiang, Rong, et al.
Published: (2025)

Alternating minimization for generalized rank one matrix sensing: Sharp predictions from a random initialization
by: Chandrasekher, Kabir Aladin, et al.
Published: (2022)

Unveil Conditional Diffusion Models with Classifier-free Guidance: A Sharp Statistical Theory
by: Fu, Hengyu, et al.
Published: (2024)

A unified recipe for deriving (time-uniform) PAC-Bayes bounds
by: Chugg, Ben, et al.
Published: (2023)

Instance-dependent uniform tail bounds for empirical processes
by: Bahmani, Sohail
Published: (2022)

Sharp One-Dimensional Sub-Gaussian Comparison in Convex Order
by: Zhang, Yihan
Published: (2026)

Sharp Concentration Inequalities: Phase Transition and Mixing of Orlicz Tails with Variance
by: Shen, Yinan, et al.
Published: (2026)

Time-uniform central limit theory and asymptotic confidence sequences
by: Waudby-Smith, Ian, et al.
Published: (2021)

An adaptive transfer learning perspective on classification in non-stationary environments
by: Reeve, Henry W J
Published: (2024)

Adaptive conformal classification with noisy labels
by: Sesia, Matteo, et al.
Published: (2023)

Towards Sharp Minimax Risk Bounds for Operator Learning
by: Adcock, Ben, et al.
Published: (2025)

Generalization error bound for denoising score matching under relaxed manifold assumption
by: Yakovlev, Konstantin, et al.
Published: (2025)

Deep regression learning from dependent observations with minimum error entropy principle
by: Kengne, William, et al.
Published: (2026)

Sharp Generalization for Nonparametric Regression in Interpolation Space by Over-Parameterized Neural Networks Trained with Preconditioned Gradient Descent and Early Stopping
by: Yang, Yingzhen, et al.
Published: (2024)

Ledoit-Wolf linear shrinkage with unknown mean
by: Oriol, Benoit, et al.
Published: (2023)

Partial recovery and weak consistency in the non-uniform hypergraph Stochastic Block Model
by: Dumitriu, Ioana, et al.
Published: (2021)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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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