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Bibliographic Details
Main Author:	Hösel, Volker
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis Statistics Theory
Online Access:	https://arxiv.org/abs/2411.16864
Tags:	Add Tag No Tags, Be the first to tag this record!

Learning Operators by Regularized Stochastic Gradient Descent with Operator-valued Kernels
by: Yang, Jia-Qi, et al.
Published: (2025)

A Kernel-Based Approach for Modelling Gaussian Processes with Functional Information
by: Brown, D. Andrew, et al.
Published: (2022)

A Kernel-based Stochastic Approximation Framework for Nonlinear Operator Learning
by: Yang, Jia-Qi, et al.
Published: (2025)

Which Spaces can be Embedded in $L_p$-type Reproducing Kernel Banach Space? A Characterization via Metric Entropy
by: Lu, Yiping, et al.
Published: (2024)

Invariant kernels on the space of complex covariance matrices
by: Said, Salem, et al.
Published: (2024)

Metric Entropy and Minimax Risk of Ellipsoids with an Application to Pinsker's Theorem
by: Allard, Thomas
Published: (2025)

Statistical microlocal analysis in two-dimensional X-ray CT
by: Abhishek, Anuj, et al.
Published: (2025)

The Field Equations of Penalized non-Parametric Regression
by: Pappert, Sven
Published: (2025)

Statistical Independence and the Brockwell Transform -- From an Integral Equation Perspective
by: Wang, Xingzhi
Published: (2024)

Linear estimators for Gaussian random variables in Hilbert spaces
by: Tappe, Stefan
Published: (2023)

On weighted Poincar{é} inequalities for multivariate Liouville distributions -- Application to Global Sensitivity Analysis
by: Heredia, David
Published: (2026)

Entropy-Wasserstein regularization, defective local concentration and a cutoff criterion beyond non-negative curvature
by: Pedrotti, Francesco
Published: (2026)

Structure preservation via the Wasserstein distance
by: Bartl, Daniel, et al.
Published: (2022)

On the structure of marginals in high dimensions
by: Bartl, Daniel, et al.
Published: (2026)

A note on time-uniform concentration inequality for matrix products
by: Pham, Tuan, et al.
Published: (2025)

The Wasserstein cost of Importance Sampling
by: Coste, Simon, et al.
Published: (2026)

Inverting the Fisher information operator in non-linear models
by: Konen, Dimitri
Published: (2026)

Learning Operators with Stochastic Gradient Descent in General Hilbert Spaces
by: Shi, Lei, et al.
Published: (2024)

Optimal Algorithms for Nonlinear Estimation with Convex Models
by: Foucart, Simon
Published: (2025)

Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
by: Carrillo, José A., et al.
Published: (2024)

Pointwise Generalization in Deep Neural Networks
by: Li, Shaojie, et al.
Published: (2026)

Computerized Tomography and Reproducing Kernels
by: Yun, Ho, et al.
Published: (2023)

Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
by: Neamtu, Alexandra Blessing, et al.
Published: (2026)

Stochastic approximation in infinite dimensions
by: Karandikar, Rajeeva Laxman, et al.
Published: (2024)

Sharp Matrix Empirical Bernstein Inequalities
by: Wang, Hongjian, et al.
Published: (2024)

Constructive Approximation under Carleman's Condition, with Applications to Smoothed Analysis
by: Koehler, Frederic, et al.
Published: (2025)

Operator limit of Wigner matrices I
by: Banerjee, Debapratim
Published: (2025)

Hoeffding decomposition of black-box models with dependent inputs
by: Idrissi, Marouane Il, et al.
Published: (2023)

Random Field Representations of Kernel Distances
by: Langmore, Ian
Published: (2025)

Distribution-Free Stochastic Analysis and Robust Multilevel Vector Field Anomaly Detection
by: Castrillon-Candas, Julio E, et al.
Published: (2022)

An Empirical Analysis of the Laplace and Neural Tangent Kernels
by: Lencevičius, Ronaldas Paulius
Published: (2022)

Karhunen-Loève expansion of Random Measures
by: Vergara, Ricardo Carrizo
Published: (2022)

Minimum Norm Interpolation via The Local Theory of Banach Spaces: The Role of $2$-Uniform Convexity
by: Kur, Gil, et al.
Published: (2026)

Faster logconcave sampling from a cold start in high dimension
by: Kook, Yunbum, et al.
Published: (2025)

Stationary Process Invertibility and the Unilateral Shift Operator
by: Ganesh, Anand, et al.
Published: (2026)

Gaussian Processes and Reproducing Kernels: Connections and Equivalences
by: Kanagawa, Motonobu, et al.
Published: (2025)

On Kernels and Covariance Structures in Hilbert Space Gaussian Processes
by: Sababe, Saeed Hashemi
Published: (2025)

Zeroth-order Logconcave Sampling
by: Kook, Yunbum, et al.
Published: (2025)

Positive Semidefinite Matrix Supermartingales
by: Wang, Hongjian, et al.
Published: (2024)

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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