Hierarchical Physics-Embedded Learning for Prediction and Discovery in Spatiotemporal Dynamical Systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Xizhe, Song, Xiaobin, Jia, Qingshan, Sun, Hao, Zhao, Hongbo, Jiang, Benben
Format:	Preprint
Published:	2025
Subjects:	Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics
by: Zhou, Hao, et al.
Published: (2026)

FairNet: Dynamic Fairness Correction without Performance Loss via Contrastive Conditional LoRA
by: Zhou, Songqi, et al.
Published: (2025)

Conservation-informed Graph Learning for Spatiotemporal Dynamics Prediction
by: Mi, Yuan, et al.
Published: (2024)

Learning from History: A Retrieval-Augmented Framework for Spatiotemporal Prediction
by: Jia, Hao, et al.
Published: (2025)

PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Burst-Sampled Spatiotemporal Dynamics
by: Wan, Han, et al.
Published: (2025)

BatteryBERT for Realistic Battery Fault Detection Using Point-Masked Signal Modeling
by: Zhou, Songqi, et al.
Published: (2025)

Heterogeneous Federated Learning Systems for Time-Series Power Consumption Prediction with Multi-Head Embedding Mechanism
by: Syu, Jia-Hao, et al.
Published: (2025)

Geometry-aware Active Learning of Spatiotemporal Dynamic Systems
by: Zhang, Xizhuo, et al.
Published: (2025)

Improving Long-term Autoregressive Spatiotemporal Predictions: A Proof of Concept with Fluid Dynamics
by: Zhou, Hao, et al.
Published: (2025)

Hyperbolic Hierarchical Knowledge Graph Embeddings for Link Prediction in Low Dimensions
by: Zheng, Wenjie, et al.
Published: (2022)

Learning Spatiotemporal Dynamical Systems from Point Process Observations
by: Iakovlev, Valerii, et al.
Published: (2024)

Reinforcement Learning for Charging Optimization of Inhomogeneous Dicke Quantum Batteries
by: Song, Xiaobin, et al.
Published: (2025)

UnCLe: Towards Scalable Dynamic Causal Discovery in Non-linear Temporal Systems
by: Bi, Tingzhu, et al.
Published: (2025)

Learning Coupled System Dynamics under Incomplete Physical Constraints and Missing Data
by: Saha, Esha, et al.
Published: (2025)

Data-Driven Physics Embedded Dynamics with Predictive Control and Reinforcement Learning for Quadrupeds
by: Kotecha, Prakrut, et al.
Published: (2026)

Mitigating Accuracy-Robustness Trade-off via Balanced Multi-Teacher Adversarial Distillation
by: Zhao, Shiji, et al.
Published: (2023)

Representation Learning for Spatiotemporal Physical Systems
by: Qu, Helen, et al.
Published: (2026)

Dynamic Modes as Time Representation for Spatiotemporal Forecasting
by: Kong, Menglin, et al.
Published: (2025)

Fully Convolutional Spatiotemporal Learning for Microstructure Evolution Prediction
by: Trimboli, Michael, et al.
Published: (2026)

Hierarchical Meta-Reinforcement Learning via Automated Macro-Action Discovery
by: Cho, Minjae, et al.
Published: (2024)

Dynamic Causal Structure Discovery and Causal Effect Estimation
by: Wang, Jianian, et al.
Published: (2025)

Heterogeneous Federated Learning System for Sparse Healthcare Time-Series Prediction
by: Syu, Jia-Hao, et al.
Published: (2025)

SplitFT: An Adaptive Federated Split Learning System For LLMs Fine-Tuning
by: Shan, Yimeng, et al.
Published: (2026)

Neural Point Process for Learning Spatiotemporal Event Dynamics
by: Zhou, Zihao, et al.
Published: (2021)

Distributed Multi-Head Learning Systems for Power Consumption Prediction
by: Syu, Jia-Hao, et al.
Published: (2025)

Video Prediction of Dynamic Physical Simulations With Pixel-Space Spatiotemporal Transformers
by: Slack, Dean L, et al.
Published: (2025)

Arbitrarily Conditioned Hierarchical Flows for Spatiotemporal Events
by: Chen, Keyan, et al.
Published: (2026)

Spatiotemporal Graph Learning with Direct Volumetric Information Passing and Feature Enhancement
by: Mi, Yuan, et al.
Published: (2024)

Learning Hierarchical Interaction for Accurate Molecular Property Prediction
by: Hong, Huiyang, et al.
Published: (2025)

Network Embedding via Deep Prediction Model
by: Sun, Xin, et al.
Published: (2021)

Disentangled Unsupervised Skill Discovery for Efficient Hierarchical Reinforcement Learning
by: Hu, Jiaheng, et al.
Published: (2024)

Hierarchical Multi-Relational Graph Representation Learning for Large-Scale Prediction of Drug-Drug Interactions
by: Jiang, Mengying, et al.
Published: (2024)

Spatiotemporal Wildfire Prediction and Reinforcement Learning for Helitack Suppression
by: Mathur, Shaurya, et al.
Published: (2026)

Causal Adjacency Learning for Spatiotemporal Prediction Over Graphs
by: Mo, Zhaobin, et al.
Published: (2024)

SAUC: Sparsity-Aware Uncertainty Calibration for Spatiotemporal Prediction with Graph Neural Networks
by: Zhuang, Dingyi, et al.
Published: (2024)

Learning State-Space Models of Dynamic Systems from Arbitrary Data using Joint Embedding Predictive Architectures
by: Ulmen, Jonas, et al.
Published: (2025)

Discovering High-Strength Alloys via Physics-Transfer Learning
by: Zhao, Yingjie, et al.
Published: (2024)

A Physics-Informed Spatiotemporal Deep Learning Framework for Turbulent Systems
by: Menicali, Luca, et al.
Published: (2025)

TMetaNet: Topological Meta-Learning Framework for Dynamic Link Prediction
by: Li, Hao, et al.
Published: (2025)

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	"e1cc6c0e4faf395dff13b4cda72c81ec"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790983067.9176 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e1cc6c0e4faf395dff13b4cda72c81ec" ]`]
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=e1cc6c0e4faf395dff13b4cda72c81ec; language=en; 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	"34602"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_25306/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_25306/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790983067.9111
REQUEST_TIME	1790983067

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"e1cc6c0e4faf395dff13b4cda72c81ec"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790983067.9176 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e1cc6c0e4faf395dff13b4cda72c81ec" ]`]
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=e1cc6c0e4faf395dff13b4cda72c81ec; language=en; 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	"34602"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_25306/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_25306/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790983067.9111
REQUEST_TIME	1790983067

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: