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Main Authors:	Vigouroux, David, Drumetz, Lucas, Fablet, Ronan, Rousseau, François
Format:	Preprint
Published:	2026
Subjects:	Machine Learning Artificial Intelligence
Online Access:	https://arxiv.org/abs/2602.02611
Tags:	Add Tag No Tags, Be the first to tag this record!

Sliced-Wasserstein Distances and Flows on Cartan-Hadamard Manifolds
by: Bonet, Clément, et al.
Published: (2024)

TrAISformer -- A Transformer Network with Sparse Augmented Data Representation and Cross Entropy Loss for AIS-based Vessel Trajectory Prediction
by: Nguyen, Duong, et al.
Published: (2021)

HH-SAE: Discovering and Steering Hierarchical Knowledge of Complex Manifolds
by: Wu, Honghan, et al.
Published: (2026)

Neural Incremental Data Assimilation
by: Blanke, Matthieu, et al.
Published: (2024)

Follow the Energy, Find the Path: Riemannian Metrics from Energy-Based Models
by: Béthune, Louis, et al.
Published: (2025)

Pullback Flow Matching on Data Manifolds
by: de Kruiff, Friso, et al.
Published: (2024)

Multi-Path Long-Term Vessel Trajectories Forecasting with Probabilistic Feature Fusion for Problem Shifting
by: Spadon, Gabriel, et al.
Published: (2023)

The Geometry of Grokking: Norm Minimization on the Zero-Loss Manifold
by: Musat, Tiberiu
Published: (2025)

Geometric Flow Matching for Molecular Conformation Generation via Manifold Decomposition
by: Liu, Yunqing, et al.
Published: (2026)

Neural ocean forecasting from sparse satellite-derived observations: a case-study for SSH dynamics and altimetry data
by: Botvynko, Daria, et al.
Published: (2025)

FlowPath: Learning Data-Driven Manifolds with Invertible Flows for Robust Irregularly-sampled Time Series Classification
by: Oh, YongKyung, et al.
Published: (2025)

Towards impactful challenges: post-challenge paper, benchmarks and other dissemination actions
by: Marot, Antoine, et al.
Published: (2023)

GeoIB: Geometry-Aware Information Bottleneck via Statistical-Manifold Compression
by: Wang, Weiqi, et al.
Published: (2026)

Majorization-Minimization Networks for Inverse Problems: An Application to EEG Imaging
by: Tran, Le Minh Triet, et al.
Published: (2026)

Flow Matching on General Geometries
by: Chen, Ricky T. Q., et al.
Published: (2023)

Discovering environments with XRM
by: Pezeshki, Mohammad, et al.
Published: (2023)

A VAE Approach to Sample Multivariate Extremes
by: Lafon, Nicolas, et al.
Published: (2023)

Discovering Mathematical Formulas from Data via GPT-guided Monte Carlo Tree Search
by: Li, Yanjie, et al.
Published: (2024)

Test-time Adaptation of Tiny Recursive Models
by: McGovern, Ronan Killian
Published: (2025)

Seeing Unseen: Discover Novel Biomedical Concepts via Geometry-Constrained Probabilistic Modeling
by: Fan, Jianan, et al.
Published: (2024)

Learning a Generic Value-Selection Heuristic Inside a Constraint Programming Solver
by: Marty, Tom, et al.
Published: (2023)

Discovering Behavioral Predispositions in Data to Improve Human Activity Recognition
by: Popko, Maximilian, et al.
Published: (2022)

Discovering Association Rules in High-Dimensional Small Tabular Data
by: Karabulut, Erkan, et al.
Published: (2025)

Partial Parameter Updates for Efficient Distributed Training
by: Filippova, Anastasiia, et al.
Published: (2025)

MENDR: Manifold Explainable Neural Data Representations
by: Chen, Matthew, et al.
Published: (2025)

Explanova: Automatically Discover Data Insights in N \times M Table via XAI Combined LLM Workflow
by: Huang, Yiming
Published: (2026)

Diffusion Models and the Manifold Hypothesis: Log-Domain Smoothing is Geometry Adaptive
by: Farghly, Tyler, et al.
Published: (2025)

Predict Training Data Quality via Its Geometry in Metric Space
by: Ba, Yang, et al.
Published: (2025)

Crafting Imperceptible On-Manifold Adversarial Attacks for Tabular Data
by: He, Zhipeng, et al.
Published: (2025)

BOAD: Discovering Hierarchical Software Engineering Agents via Bandit Optimization
by: Xu, Iris, et al.
Published: (2025)

Flow-Direct: Feedback-Efficient and Reusable Guidance for Flow Models via Non-Parametric Guidance Field
by: Tan, Kim Yong, et al.
Published: (2026)

Manifold Sampling via Entropy Maximization
by: Braun, Cornelius V., et al.
Published: (2026)

Learning to Discover at Test Time
by: Yuksekgonul, Mert, et al.
Published: (2026)

Event Classification of Accelerometer Data for Industrial Package Monitoring with Embedded Deep Learning
by: Renault, Manon, et al.
Published: (2025)

Probe-Based Data Attribution: Discovering and Mitigating Undesirable Behaviors in LLM Post-Training
by: Xiao, Frank, et al.
Published: (2026)

FlowKac: An Efficient Neural Fokker-Planck solver using Temporal Normalizing Flows and the Feynman-Kac Formula
by: Bekri, Naoufal El, et al.
Published: (2025)

Preventing Model Collapse via Contraction-Conditioned Neural Filters
by: Han, Zongjian, et al.
Published: (2025)

Discovering Hidden Algebraic Structures via Transformers with Rank-Aware Beam GRPO
by: Lee, Jaeha, et al.
Published: (2025)

CINDI: Conditional Imputation and Noisy Data Integrity with Flows in Power Grid Data
by: Baumgartner, David, et al.
Published: (2026)

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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