Riemannian Neural Geodesic Interpolant

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Wu, Jiawen, Chen, Bingguang, Zhou, Yuyi, Meng, Qi, Zhu, Rongchan, Ma, Zhi-Ming
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Machine Learning
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
von: Zhang, Rui, et al.
Veröffentlicht: (2023)

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs
von: Zhu, Yuantu, et al.
Veröffentlicht: (2025)

Riemannian Zeroth-Order Gradient Estimation with Structure-Preserving Metrics for Geodesically Incomplete Manifolds
von: Ma, Shaocong, et al.
Veröffentlicht: (2026)

Spectro-Riemannian Graph Neural Networks
von: Grover, Karish, et al.
Veröffentlicht: (2025)

Exploring Neural Network Landscapes: Star-Shaped and Geodesic Connectivity
von: Lin, Zhanran, et al.
Veröffentlicht: (2024)

Weisfeiler Lehman Test on Combinatorial Complexes: Generalized Expressive Power of Topological Neural Networks
von: Chen, Jiawen, et al.
Veröffentlicht: (2026)

Randomness and Interpolation Improve Gradient Descent
von: Li, Jiawen, et al.
Veröffentlicht: (2025)

Riemannian Stochastic Interpolants for Amorphous Particle Systems
von: Grenioux, Louis, et al.
Veröffentlicht: (2025)

Personalized Federated Instruction Tuning via Neural Architecture Search
von: Zhang, Pengyu, et al.
Veröffentlicht: (2024)

Dynamic Elliptical Graph Factor Models via Riemannian Optimization with Geodesic Temporal Regularization
von: Peng, Chuansen, et al.
Veröffentlicht: (2026)

UniFluids: Unified Neural Operator Learning with Conditional Flow-matching
von: Li, Haosen, et al.
Veröffentlicht: (2026)

Deciphering and integrating invariants for neural operator learning with various physical mechanisms
von: Zhang, Rui, et al.
Veröffentlicht: (2023)

Riemannian Multinomial Logistics Regression for SPD Neural Networks
von: Chen, Ziheng, et al.
Veröffentlicht: (2023)

Learning Collective Variables with Synthetic Data Augmentation through Physics-Inspired Geodesic Interpolation
von: Yang, Soojung, et al.
Veröffentlicht: (2024)

A Theoretical Framework for Grokking: Interpolation followed by Riemannian Norm Minimisation
von: Boursier, Etienne, et al.
Veröffentlicht: (2025)

Fréchet Geodesic Boosting
von: Zhou, Yidong, et al.
Veröffentlicht: (2025)

Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity
von: Zhu, Shuailong, et al.
Veröffentlicht: (2025)

Connecting Neural Models Latent Geometries with Relative Geodesic Representations
von: Yu, Hanlin, et al.
Veröffentlicht: (2025)

Geodesic Semantic Search: Cartographic Navigation of Citation Graphs with Learned Local Riemannian Maps
von: Yee, Brandon, et al.
Veröffentlicht: (2026)

Riemannian Consistency Model
von: Cheng, Chaoran, et al.
Veröffentlicht: (2025)

On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond
von: Wang, Bohan, et al.
Veröffentlicht: (2024)

Heterophily-Agnostic Hypergraph Neural Networks with Riemannian Local Exchanger
von: Sun, Li, et al.
Veröffentlicht: (2026)

Spiking Graph Neural Network on Riemannian Manifolds
von: Sun, Li, et al.
Veröffentlicht: (2024)

Riemannian Neural Optimal Transport
von: Micheli, Alessandro, et al.
Veröffentlicht: (2026)

Entropic Riemannian Neural Optimal Transport
von: Micheli, Alessandro, et al.
Veröffentlicht: (2026)

Learning Relativistic Geodesics and Chaotic Dynamics via Stabilized Lagrangian Neural Networks
von: Hamzaogullari, Abdullah Umut, et al.
Veröffentlicht: (2026)

(Deep) Generative Geodesics
von: Kim, Beomsu, et al.
Veröffentlicht: (2024)

AlignGuard-LoRA: Alignment-Preserving Fine-Tuning via Fisher-Guided Decomposition and Riemannian-Geodesic Collision Regularization
von: Das, Amitava, et al.
Veröffentlicht: (2025)

Beyond the Laplacian: Interpolated Spectral Augmentation for Graph Neural Networks
von: Cui, Ziyao, et al.
Veröffentlicht: (2025)

CCMamba: Topologically-Informed Selective State-Space Networks on Combinatorial Complexes for Higher-Order Graph Learning
von: Chen, Jiawen, et al.
Veröffentlicht: (2026)

Constant Bit-size Transformers Are Turing Complete
von: Li, Qian, et al.
Veröffentlicht: (2025)

Improving Neural Optimal Transport via Displacement Interpolation
von: Choi, Jaemoo, et al.
Veröffentlicht: (2024)

On Interpolation Formulas Describing Neural Network Generalization
von: Guo, Jin, et al.
Veröffentlicht: (2026)

Differentially Private Geodesic Regression
von: Kulkarni, Aditya, et al.
Veröffentlicht: (2025)

Geodesics in the Deep Linear Network
von: Chen, Alan
Veröffentlicht: (2025)

A Double-Norm Aggregated Tensor Latent Factorization Model for Temporal-Aware Traffic Speed Imputation
von: Hou, Jiawen, et al.
Veröffentlicht: (2025)

Better Neural PDE Solvers Through Data-Free Mesh Movers
von: Hu, Peiyan, et al.
Veröffentlicht: (2023)

OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics
von: Zhang, Rui, et al.
Veröffentlicht: (2025)

Riemannian Dueling Optimization
von: Ren, Yuxuan, et al.
Veröffentlicht: (2026)

ManifoldFormer: Geometric Deep Learning for Neural Dynamics on Riemannian Manifolds
von: Fu, Yihang, et al.
Veröffentlicht: (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	"8e9c674bfa6c224f50f0861b8975c5e8"
ui	"standard"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790882270.9209 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "8e9c674bfa6c224f50f0861b8975c5e8" ]`]
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=8e9c674bfa6c224f50f0861b8975c5e8; ui=standard; language=de"
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	"22589"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2504_15736/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2504_15736/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790882270.9035
REQUEST_TIME	1790882270

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler