Neural Galerkin Normalizing Flow for Transition Probability Density Functions of Diffusion Models

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Saporiti, Riccardo, Nobile, Fabio
Format:	Preprint
Veröffentlicht:	2026
Schlagworte:	Machine Learning Numerical Analysis
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Neural Galerkin Schemes with Active Learning for High-Dimensional Evolution Equations
von: Bruna, Joan, et al.
Veröffentlicht: (2022)

Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective
von: Iske, Meira, et al.
Veröffentlicht: (2026)

Conditional Pseudo-Reversible Normalizing Flow for Surrogate Modeling in Quantifying Uncertainty Propagation
von: Yang, Minglei, et al.
Veröffentlicht: (2024)

Convergence Analysis of Probability Flow ODE for Score-based Generative Models
von: Huang, Daniel Zhengyu, et al.
Veröffentlicht: (2024)

A Sharp Convergence Theory for The Probability Flow ODEs of Diffusion Models
von: Li, Gen, et al.
Veröffentlicht: (2024)

Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks
von: Celaya, Adrian, et al.
Veröffentlicht: (2025)

Filtered Neural Galerkin model reduction schemes for efficient propagation of initial condition uncertainties in digital twins
von: Ning, Zhiyang, et al.
Veröffentlicht: (2025)

Model Order Reduction of Cerebrovascular Hemodynamics Using POD_Galerkin and Reservoir Computing_based Approach
von: Halder, Rahul, et al.
Veröffentlicht: (2026)

Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks
von: Mattey, Revanth, et al.
Veröffentlicht: (2024)

Sampling via Gradient Flows in the Space of Probability Measures
von: Chen, Yifan, et al.
Veröffentlicht: (2023)

Energy Approach from $\varepsilon$-Graph to Continuum Diffusion Model with Connectivity Functional
von: Yang, Yahong, et al.
Veröffentlicht: (2025)

Neural Network Approach to Stochastic Dynamics for Smooth Multimodal Density Estimation
von: Zarezadeh, Z., et al.
Veröffentlicht: (2025)

Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
von: Park, Yesom, et al.
Veröffentlicht: (2025)

Neural Conjugate Flows: Physics-informed architectures with flow structure
von: Bizzi, Arthur, et al.
Veröffentlicht: (2024)

A Discrete Neural Operator with Adaptive Sampling for Surrogate Modeling of Parametric Transient Darcy Flows in Porous Media
von: Chen, Zhenglong, et al.
Veröffentlicht: (2025)

Decoupled Diffusion Sampling for Inverse Problems on Function Spaces
von: Lin, Thomas Y. L., et al.
Veröffentlicht: (2026)

Maximum Principle of Optimal Probability Density Control
von: Gaby, Nathan, et al.
Veröffentlicht: (2025)

Neural Operator: Learning Maps Between Function Spaces
von: Kovachki, Nikola, et al.
Veröffentlicht: (2021)

Transformed Physics-Informed Neural Networks for The Convection-Diffusion Equation
von: Guan, Jiajing, et al.
Veröffentlicht: (2024)

Learn to Evolve: Self-supervised Neural JKO Operator for Wasserstein Gradient Flow
von: Feng, Xue, et al.
Veröffentlicht: (2026)

Localized Diffusion Models
von: Gottwald, Georg A., et al.
Veröffentlicht: (2025)

On the Dimension-Free Approximation of Deep Neural Networks for Symmetric Korobov Functions
von: Lu, Yulong, et al.
Veröffentlicht: (2025)

Back-Projection Diffusion: Solving the Wideband Inverse Scattering Problem with Diffusion Models
von: Zhang, Borong, et al.
Veröffentlicht: (2024)

A Physics-Informed Neural Network with a Modified Lorentzian Activation for Nonlocal Gradient-Flow Equations in Dynamic Density Functional Theory
von: Gourzoulidis, Dimitrios, et al.
Veröffentlicht: (2026)

Learning-based Multi-continuum Model for Multiscale Flow Problems
von: Wang, Fan, et al.
Veröffentlicht: (2024)

How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Framework
von: Ren, Yinuo, et al.
Veröffentlicht: (2024)

Polynomial Speedup in Diffusion Models with the Multilevel Euler-Maruyama Method
von: Jacot, Arthur
Veröffentlicht: (2026)

Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance
von: Chen, Yifan, et al.
Veröffentlicht: (2023)

Translation Invariance of Neural Operators for the FitzHugh-Nagumo Model
von: Pellegrini, Luca
Veröffentlicht: (2026)

Auto-Adaptive PINNs with Applications to Phase Transitions
von: Buck, Kevin, et al.
Veröffentlicht: (2025)

A combination technique for optimal control problems constrained by random PDEs
von: Nobile, Fabio, et al.
Veröffentlicht: (2022)

The Poisson Midpoint Method for Langevin Dynamics: Provably Efficient Discretization for Diffusion Models
von: Kandasamy, Saravanan, et al.
Veröffentlicht: (2024)

Antithetic Noise in Diffusion Models
von: Jia, Jing, et al.
Veröffentlicht: (2025)

A Probabilistic Framework for Solving High-Frequency Helmholtz Equations via Diffusion Models
von: Zou, Yicheng, et al.
Veröffentlicht: (2026)

Preconditioned One-Step Generative Modeling for Bayesian Inverse Problems in Function Spaces
von: Cheng, Zilan, et al.
Veröffentlicht: (2026)

First-order PDES for Graph Neural Networks: Advection And Burgers Equation Models
von: Qu, Yifan, et al.
Veröffentlicht: (2024)

Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions
von: Wang, Jihong, et al.
Veröffentlicht: (2025)

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators
von: Pellegrini, Luca, et al.
Veröffentlicht: (2025)

Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs
von: Cheng, Chun-Wun, et al.
Veröffentlicht: (2024)

FLUID: Flow-based Unified Inference for Dynamics
von: Cui, Tiangang, et al.
Veröffentlicht: (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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"60b2b6c871811559aafcaaf59c609694"
language	"de"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790712548.811 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "60b2b6c871811559aafcaaf59c609694" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=60b2b6c871811559aafcaaf59c609694; language=de; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"10266"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2603_18907/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2603_18907/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790712548.8065
REQUEST_TIME	1790712548

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler