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Main Authors:	Li, Zhu, Meunier, Dimitri, Mollenhauer, Mattes, Gretton, Arthur
Format:	Preprint
Published:	2023
Subjects:	Machine Learning
Online Access:	https://arxiv.org/abs/2312.07186
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Regularized least squares learning with heavy-tailed noise is minimax optimal
by: Mollenhauer, Mattes, et al.
Published: (2025)

Nonlinear Meta-Learning Can Guarantee Faster Rates
by: Meunier, Dimitri, et al.
Published: (2023)

Nonparametric Instrumental Regression via Kernel Methods is Minimax Optimal
by: Meunier, Dimitri, et al.
Published: (2024)

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

Semiparametrically Efficient Inference for Kernel Measures of Noise Heterogeneity
by: Wornbard, Jakub, et al.
Published: (2026)

Sobolev Regularized MMD Gradient Flow
by: Tian, Chenyang, et al.
Published: (2026)

Density Ratio-Free Doubly Robust Proxy Causal Learning
by: Bozkurt, Bariscan, et al.
Published: (2025)

Density Ratio-based Proxy Causal Learning Without Density Ratios
by: Bozkurt, Bariscan, et al.
Published: (2025)

Nonparametric Instrumental Variable Regression with Observed Covariates
by: Shen, Zikai, et al.
Published: (2025)

Demystifying Spectral Feature Learning for Instrumental Variable Regression
by: Meunier, Dimitri, et al.
Published: (2025)

Doubly Robust Proxy Causal Learning with Neural Mean Embeddings
by: Bozkurt, Bariscan, et al.
Published: (2026)

Near-Optimality of Contrastive Divergence Algorithms
by: Glaser, Pierre, et al.
Published: (2025)

Nonparametric Instrumental Variable Analysis Without Structural Equations: Debiased Inference on Functionals of Inverse Problems with No Solutions
by: Shen, Zikai, et al.
Published: (2026)

A Hybrid Federated Kernel Regularized Least Squares Algorithm
by: Damiani, Celeste, et al.
Published: (2024)

Regularized $f$-Divergence Kernel Tests
by: Ribero, Mónica, et al.
Published: (2026)

Outcome-Aware Spectral Feature Learning for Instrumental Variable Regression
by: Meunier, Dimitri, et al.
Published: (2025)

Towards Learning High-Precision Least Squares Algorithms with Sequence Models
by: Liu, Jerry, et al.
Published: (2025)

Improving Implicit Regularization of SGD with Preconditioning for Least Square Problems
by: Su, Junwei, et al.
Published: (2024)

$\ell_1$-Regularized Generalized Least Squares
by: Nobari, Kaveh S., et al.
Published: (2024)

Kernel Single Proxy Control for Deterministic Confounding
by: Xu, Liyuan, et al.
Published: (2023)

Perturbative methods for non-parametric instrumental variable
by: Bu, Wei, et al.
Published: (2026)

Semiparametric Efficient Test for Interpretable Distributional Treatment Effects
by: Zenati, Houssam, et al.
Published: (2026)

On Regularization via Early Stopping for Least Squares Regression
by: Sonthalia, Rishi, et al.
Published: (2024)

Importance Weighting Correction of Regularized Least-Squares for Target Shift
by: Gogolashvili, Davit
Published: (2022)

Partitioned Least Squares
by: Esposito, Roberto, et al.
Published: (2020)

Sobolev Norm Learning Rates for Conditional Mean Embeddings
by: Talwai, Prem, et al.
Published: (2021)

Randomized Least Squares Value Iteration itself is Joint Differentially Private
by: Lu, Haiyang, et al.
Published: (2026)

Kernel Recursive Least Squares Dictionary Learning Algorithm
by: Alipoor, Ghasem, et al.
Published: (2025)

Towards a Unified Analysis of Neural Networks in Nonparametric Instrumental Variable Regression: Optimization and Generalization
by: Chen, Zonghao, et al.
Published: (2025)

Outlier-robust Autocovariance Least Square Estimation via Iteratively Reweighted Least Square
by: Li, Jiahong, et al.
Published: (2026)

Pessimistic Nonlinear Least-Squares Value Iteration for Offline Reinforcement Learning
by: Di, Qiwei, et al.
Published: (2023)

Convergence Rates for Gradient Descent on the Edge of Stability in Overparametrised Least Squares
by: MacDonald, Lachlan Ewen, et al.
Published: (2025)

Doubly-Robust Estimation of Counterfactual Policy Mean Embeddings
by: Zenati, Houssam, et al.
Published: (2025)

Deep Proxy Causal Learning and its Application to Confounded Bandit Policy Evaluation
by: Xu, Liyuan, et al.
Published: (2021)

Matrix-Free Least Squares Solvers: Values, Gradients, and What to Do With Them
by: Roy, Hrittik, et al.
Published: (2025)

Concurrent Learning with Aggregated States via Randomized Least Squares Value Iteration
by: Chen, Yan, et al.
Published: (2025)

Topological Adaptive Least Mean Squares Algorithms over Simplicial Complexes
by: Marinucci, Lorenzo, et al.
Published: (2025)

Interventional Processes for Causal Uncertainty Quantification
by: Dance, Hugh, et al.
Published: (2024)

Kernel Treatment Effects with Adaptively Collected Data
by: Zenati, Houssam, et al.
Published: (2025)

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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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