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Bibliographic Details
Main Authors:	Zheng, Yujia, Xie, Shaoan, Zhang, Kun
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Artificial Intelligence Probability
Online Access:	https://arxiv.org/abs/2510.00136
Tags:	Add Tag No Tags, Be the first to tag this record!

$α$-TCAV: A Unified Framework for Testing with Concept Activation Vectors
by: Schnoor, Ekkehard, et al.
Published: (2026)

Natural Latents: Latent Variables Stable Across Ontologies
by: Wentworth, John, et al.
Published: (2025)

Causal Effect Identification in Heterogeneous Environments from Higher-Order Moments
by: Kivva, Yaroslav, et al.
Published: (2025)

Representative Arm Identification: A fixed confidence approach to identify cluster representatives
by: Gharat, Sarvesh, et al.
Published: (2024)

Probabilistic Geometric Alignment via Bayesian Latent Transport for Domain-Adaptive Foundation Models
by: Aueawatthanaphisut, Aueaphum, et al.
Published: (2026)

Advancing Deep Learning through Probability Engineering: A Pragmatic Paradigm for Modern AI
by: Zhang, Jianyi
Published: (2025)

On the Identifiability of Nonlinear ICA: Sparsity and Beyond
by: Zheng, Yujia, et al.
Published: (2022)

Causal Representation Learning from Multiple Distributions: A General Setting
by: Zhang, Kun, et al.
Published: (2024)

Learning Discrete Concepts in Latent Hierarchical Models
by: Kong, Lingjing, et al.
Published: (2024)

Selective Reviews of Bandit Problems in AI via a Statistical View
by: Zhou, Pengjie, et al.
Published: (2024)

Feature Learning Dynamics in Infinite-Depth Neural Networks
by: Yao, Zihan, et al.
Published: (2025)

Explicit Density Approximation for Neural Implicit Samplers Using a Bernstein-Based Convex Divergence
by: de Frutos, José Manuel, et al.
Published: (2025)

A Unified Theory of $θ$-Expectations
by: Qi, Qian
Published: (2025)

Greedy Selection under Independent Increments: A Toy Model Analysis
by: Yang, Huitao
Published: (2025)

A Mean-Field Theory of $Θ$-Expectations
by: Qi, Qian
Published: (2025)

Neural Expectation Operators
by: Qi, Qian
Published: (2025)

Beyond Propagation of Chaos: A Stochastic Algorithm for Mean Field Optimization
by: Tankala, Chandan, et al.
Published: (2025)

Efficient Training of Neural SDEs Using Stochastic Optimal Control
by: Daems, Rembert, et al.
Published: (2025)

Neural Network Parameter-optimization of Gaussian pmDAGs
by: Saremi, Mehrzad
Published: (2023)

Deep Conditional Measure Quantization
by: Turinici, Gabriel
Published: (2023)

Note on Martingale Theory and Applications
by: Zou, Xiandong
Published: (2026)

Soft-to-Hard Routing in Sparse Mixture-of-Experts Models
by: Rastegar, Reza
Published: (2026)

Generalisation of Total Uncertainty in AI: A Theoretical Study
by: Shariatmadar, Keivan
Published: (2024)

Generalized Gaussian Temporal Difference Error for Uncertainty-aware Reinforcement Learning
by: Kim, Seyeon, et al.
Published: (2024)

Quantitative CLTs in Deep Neural Networks
by: Favaro, Stefano, et al.
Published: (2023)

Neural Laplace for learning Stochastic Differential Equations
by: Carrel, Adrien
Published: (2024)

On the Equivalence of Random Network Distillation, Deep Ensembles, and Bayesian Inference
by: Zanger, Moritz A., et al.
Published: (2026)

Identifying Selections for Unsupervised Subtask Discovery
by: Qiu, Yiwen, et al.
Published: (2024)

Combining Statistical Depth and Fermat Distance for Uncertainty Quantification
by: Nguyen, Hai-Vy, et al.
Published: (2024)

Ada-Diffuser: Latent-Aware Adaptive Diffusion for Decision-Making
by: Feng, Fan, et al.
Published: (2026)

Bayesian Inference with Deep Weakly Nonlinear Networks
by: Hanin, Boris, et al.
Published: (2024)

DeepOHeat-v1: Efficient Operator Learning for Fast and Trustworthy Thermal Simulation and Optimization in 3D-IC Design
by: Yu, Xinling, et al.
Published: (2025)

PRL-Bench: A Comprehensive Benchmark Evaluating LLMs' Capabilities in Frontier Physics Research
by: Miao, Tingjia, et al.
Published: (2026)

Tail-Aware Information-Theoretic Generalization for RLHF and SGLD
by: Zhang, Huiming, et al.
Published: (2026)

Hybrid Probabilistic Forecasting of Under-Five Malaria Admissions in Ghana: A Gaussian Process Regression with Holt-Winters Smoothing
by: Ansah-Narh, T., et al.
Published: (2026)

TowerDebias: A Novel Unfairness Removal Method Based on the Tower Property
by: Matloff, Norman, et al.
Published: (2024)

Local Causal Discovery with Linear non-Gaussian Cyclic Models
by: Dai, Haoyue, et al.
Published: (2024)

Neural Brownian Motion
by: Qi, Qian
Published: (2025)

How to Tame Your LLM: Semantic Collapse in Continuous Systems
by: Wyss, C. M.
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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