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Main Authors:	Fukumizu, Kenji, Huang, Wei, Bao, Han, Xu, Shuntuo, Chandramoorthy, Nisha
Format:	Preprint
Published:	2026
Subjects:	Machine Learning
Online Access:	https://arxiv.org/abs/2602.12683
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When and how can inexact generative models still sample from the data manifold?
by: Chandramoorthy, Nisha, et al.
Published: (2025)

On the Robustness of Distribution Support under Diffusion Guidance
by: Cao, Ruijia, et al.
Published: (2026)

Fast Flow Matching based Conditional Independence Tests for Causal Discovery
by: Zhao, Shunyu, et al.
Published: (2026)

When are dynamical systems learned from time series data statistically accurate?
by: Park, Jeongjin, et al.
Published: (2024)

Neural Networks Perform Sufficient Dimension Reduction
by: Xu, Shuntuo, et al.
Published: (2024)

Out-of-Distribution Optimality of Invariant Risk Minimization
by: Toyota, Shoji, et al.
Published: (2023)

State-Separated SARSA: A Practical Sequential Decision-Making Algorithm with Recovering Rewards
by: Tanimoto, Yuto, et al.
Published: (2024)

Diffusion Models with Double Guidance: Generate with aggregated datasets
by: Yang, Yanfeng, et al.
Published: (2025)

On Conditional Stochastic Interpolation for Generative Nonlinear Sufficient Dimension Reduction
by: Xu, Shuntuo, et al.
Published: (2025)

DoubleGen: Debiased Generative Modeling of Counterfactuals
by: Luedtke, Alex, et al.
Published: (2025)

HYVINT: Intensity-Driven Hypergraph Generation with Variational Representations
by: Hong, Xinyi, et al.
Published: (2026)

Flow matching achieves almost minimax optimal convergence
by: Fukumizu, Kenji, et al.
Published: (2024)

Extended Flow Matching: a Method of Conditional Generation with Generalized Continuity Equation
by: Isobe, Noboru, et al.
Published: (2024)

Plug-and-Play Image Restoration with Flow Matching: A Continuous Viewpoint
by: Jia, Fan, et al.
Published: (2025)

Neural-Kernel Conditional Mean Embeddings
by: Shimizu, Eiki, et al.
Published: (2024)

Generalized Sobolev Transport for Probability Measures on a Graph
by: Le, Tam, et al.
Published: (2024)

Optimal Transport for Measures with Noisy Tree Metric
by: Le, Tam, et al.
Published: (2023)

Pairwise Optimal Transports for Training All-to-All Flow-Based Condition Transfer Model
by: Ikeda, Kotaro, et al.
Published: (2025)

Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift
by: Xu, Shuntuo, et al.
Published: (2025)

Neural Fourier Transform: A General Approach to Equivariant Representation Learning
by: Koyama, Masanori, et al.
Published: (2023)

Transfer learning with affine model transformation
by: Minami, Shunya, et al.
Published: (2022)

Scalable Sobolev IPM for Probability Measures on a Graph
by: Le, Tam, et al.
Published: (2025)

Generalized Sobolev IPM for Graph-Based Measures
by: Le, Tam, et al.
Published: (2025)

An Efficient Orlicz-Sobolev Approach for Transporting Unbalanced Measures on a Graph
by: Le, Tam, et al.
Published: (2025)

Provably Learning Diffusion Models under the Manifold Hypothesis: Collapse and Refine
by: Huang, Wei, et al.
Published: (2026)

Compositional simulation-based inference for time series
by: Gloeckler, Manuel, et al.
Published: (2024)

Controlling Posterior Collapse by an Inverse Lipschitz Constraint on the Decoder Network
by: Kinoshita, Yuri, et al.
Published: (2023)

Edit Flows: Flow Matching with Edit Operations
by: Havasi, Marton, et al.
Published: (2025)

Operator Flow Matching for Timeseries Forecasting
by: Lee, Yolanne Yi Ran, et al.
Published: (2025)

Stochastic Process Learning via Operator Flow Matching
by: Shi, Yaozhong, et al.
Published: (2025)

Improving Flow Matching by Aligning Flow Divergence
by: Huang, Yuhao, et al.
Published: (2026)

Adversarially Robust Topological Inference
by: Vishwanath, Siddharth, et al.
Published: (2022)

Match or Replay: Self Imitating Proximal Policy Optimization
by: Chaudhary, Gaurav, et al.
Published: (2026)

Proximal-IMH: Proximal Posterior Proposals for Independent Metropolis-Hastings with Approximate Operators
by: Chen, Youguang, et al.
Published: (2026)

PrismFlow: Residual Dynamics for Flow Matching in Time-Series Generation
by: Zhang, Junru, et al.
Published: (2026)

Conditionally Whitened Generative Models for Probabilistic Time Series Forecasting
by: Yang, Yanfeng, et al.
Published: (2025)

CFO: Learning Continuous-Time PDE Dynamics via Flow-Matched Neural Operators
by: Hou, Xianglong, et al.
Published: (2025)

Reinforcement Learning for Flow-Matching Policies
by: Pfrommer, Samuel, et al.
Published: (2025)

General Proximal Flow Networks
by: Strunk, Alexander, et al.
Published: (2026)

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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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