Blending data and physics for reduced-order modeling of systems with spatiotemporal chaotic dynamics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Guo, Alex, Graham, Michael D.
Format:	Preprint
Published:	2025
Subjects:	Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Attractor learning for spatiotemporally chaotic dynamical systems using echo state networks with transfer learning
by: Alam, Mohammad Shah, et al.
Published: (2025)

On latent dynamics learning in nonlinear reduced order modeling
by: Farenga, Nicola, et al.
Published: (2024)

Stochastic generative methods for stable and accurate closure modeling of chaotic dynamical systems
by: Williams, Emily, et al.
Published: (2025)

ComS2T: A complementary spatiotemporal learning system for data-adaptive model evolution
by: Zhou, Zhengyang, et al.
Published: (2024)

MATEY: multiscale adaptive foundation models for spatiotemporal physical systems
by: Zhang, Pei, et al.
Published: (2024)

Adjoint-based optimization with quantized local reduced-order models for spatiotemporally chaotic systems
by: Ozan, Defne E., et al.
Published: (2026)

Predicting two-dimensional spatiotemporal chaotic patterns with optimized high-dimensional hybrid reservoir computing
by: Nakano, Tamon, et al.
Published: (2025)

An adjoint method for training data-driven reduced-order models
by: Liu, Donglin, et al.
Published: (2026)

Coarse graining and reduced order models for plume ejection dynamics
by: Salas, Ike Griss, et al.
Published: (2025)

Generative emulation of chaotic dynamics with coherent prior
by: Nathaniel, Juan, et al.
Published: (2025)

Slim multi-scale convolutional autoencoder-based reduced-order models for interpretable features of a complex dynamical system
by: Teutsch, Philipp, et al.
Published: (2025)

A discrete physics-informed training for projection-based reduced order models with neural networks
by: Sibuet, N., et al.
Published: (2025)

Machine-learning invariant foliations in forced systems for reduced order modelling
by: Szalai, Robert
Published: (2024)

Panda: A pretrained forecast model for chaotic dynamics
by: Lai, Jeffrey, et al.
Published: (2025)

Delayformer: spatiotemporal transformation for predicting high-dimensional dynamics
by: Wang, Zijian, et al.
Published: (2025)

Data-driven local operator finding for reduced-order modelling of plasma systems: II. Application to parametric dynamics
by: Faraji, Farbod, et al.
Published: (2024)

Improved deep learning of chaotic dynamical systems with multistep penalty losses
by: Chakraborty, Dibyajyoti, et al.
Published: (2024)

Non-linear reduced modeling of dynamical systems using kernel methods and low-rank approximation
by: Héas, Patrick, et al.
Published: (2017)

Machine-learning optimized measurements of chaotic dynamical systems via the information bottleneck
by: Murphy, Kieran A., et al.
Published: (2023)

Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow
by: De Jesús, Carlos E. Pérez, et al.
Published: (2023)

Inferring bifurcation diagrams of two distinct chaotic systems by a single machine
by: Guo, Jianmin, et al.
Published: (2026)

Stability analysis of chaotic systems in latent spaces
by: Özalp, Elise, et al.
Published: (2024)

Coupling the reduced-order model and the generative model for an importance sampling estimator
by: Wan, Xiaoliang, et al.
Published: (2019)

Parallel BiLSTM-Transformer networks for forecasting chaotic dynamics
by: Ma, Junwen, et al.
Published: (2025)

Stochastic parameter reduced-order model based on hybrid machine learning approaches
by: Fang, Cheng, et al.
Published: (2024)

Generative diffusion models for spatiotemporal influenza forecasting
by: Lemaitre, Joseph, et al.
Published: (2026)

Zero-shot forecasting of chaotic systems
by: Zhang, Yuanzhao, et al.
Published: (2024)

Physics-informed reduced order model with conditional neural fields
by: Kim, Minji, et al.
Published: (2024)

Physically consistent and uncertainty-aware learning of spatiotemporal dynamics
by: Xu, Qingsong, et al.
Published: (2025)

Stabilizing autoregressive forecasts in chaotic systems via multi-rate latent recurrence
by: Dhingra, Mrigank, et al.
Published: (2026)

Active learning for data-driven reduced models of parametric differential systems with Bayesian operator inference
by: McQuarrie, Shane A., et al.
Published: (2025)

Decision-aware training of spatiotemporal forecasting models to select a top K subset of sites for intervention
by: Heuton, Kyle, et al.
Published: (2025)

Cyclic image generation using chaotic dynamics
by: Tanaka, Takaya, et al.
Published: (2024)

PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs
by: Brivio, Simone, et al.
Published: (2024)

Inferring stability properties of chaotic systems on autoencoders' latent spaces
by: Özalp, Elise, et al.
Published: (2024)

Bayesian identification of nonseparable Hamiltonians with multiplicative noise using deep learning and reduced-order modeling
by: Galioto, Nicholas, et al.
Published: (2024)

Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics
by: Liu, Xin-Yang, et al.
Published: (2022)

Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence
by: Atif, Mohammad, et al.
Published: (2024)

Data-driven local operator finding for reduced-order modelling of plasma systems: I. Concept and verifications
by: Faraji, Farbod, et al.
Published: (2024)

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
language	"en"
VUFIND_SESSION	"e7bf91a698b098d81a137ec74746d5e2"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790955028.7814 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e7bf91a698b098d81a137ec74746d5e2" ]`]
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	"language=en; VUFIND_SESSION=e7bf91a698b098d81a137ec74746d5e2; 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	"216.73.217.142"
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	"34467"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2507_21299/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2507_21299/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790955028.7757
REQUEST_TIME	1790955028

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
VUFIND_SESSION	"e7bf91a698b098d81a137ec74746d5e2"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790955028.7814 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e7bf91a698b098d81a137ec74746d5e2" ]`]
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	"language=en; VUFIND_SESSION=e7bf91a698b098d81a137ec74746d5e2; 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	"216.73.217.142"
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	"34467"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2507_21299/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2507_21299/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790955028.7757
REQUEST_TIME	1790955028

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: