Expressive Higher-Order Link Prediction through Hypergraph Symmetry Breaking

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Zhang, Simon, Xin, Cheng, Dey, Tamal K.
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Machine Learning
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

GEFL: Extended Filtration Learning for Graph Classification
von: Zhang, Simon, et al.
Veröffentlicht: (2024)

Higher-Order Regularization Learning on Hypergraphs
von: Weihs, Adrien, et al.
Veröffentlicht: (2025)

Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
von: Dey, Tamal K., et al.
Veröffentlicht: (2025)

Link Prediction with Relational Hypergraphs
von: Huang, Xingyue, et al.
Veröffentlicht: (2024)

Dynamic Topic Modeling with a Higher-Order Hypergraphical Representation
von: Gao, Hanjia, et al.
Veröffentlicht: (2026)

HWL-HIN: A Hypergraph-Level Hypergraph Isomorphism Network as Powerful as the Hypergraph Weisfeiler-Lehman Test with Application to Higher-Order Network Robustness
von: Tian, Chengyu, et al.
Veröffentlicht: (2025)

Hypergraph Pattern Machine: Compositional Tokenization for Higher-Order Interactions
von: Zhao, Kyrie, et al.
Veröffentlicht: (2026)

OCN: Effectively Utilizing Higher-Order Common Neighbors for Better Link Prediction
von: Wang, Juntong, et al.
Veröffentlicht: (2025)

D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
von: Mukherjee, Soham, et al.
Veröffentlicht: (2024)

On the Theoretical Expressive Power and the Design Space of Higher-Order Graph Transformers
von: Zhou, Cai, et al.
Veröffentlicht: (2024)

The WidthWall: A Strict Expressivity Hierarchy for Hypergraph Neural Networks
von: Jiang, Fengqing, et al.
Veröffentlicht: (2026)

GNNs Meet Sequence Models Along the Shortest-Path: an Expressive Method for Link Prediction
von: Ferrini, Francesco, et al.
Veröffentlicht: (2025)

HYPER: A Foundation Model for Inductive Link Prediction with Knowledge Hypergraphs
von: Huang, Xingyue, et al.
Veröffentlicht: (2025)

Improving Equivariant Networks with Probabilistic Symmetry Breaking
von: Lawrence, Hannah, et al.
Veröffentlicht: (2025)

Degree Heterogeneity in Higher-Order Networks: Inference in the Hypergraph $\boldsymbolβ$-Model
von: Nandy, Sagnik, et al.
Veröffentlicht: (2023)

Implicit Hypergraph Neural Networks: A Stable Framework for Higher-Order Relational Learning with Provable Guarantees
von: Li, Xiaoyu, et al.
Veröffentlicht: (2025)

Breaking Symmetry Bottlenecks in GNN Readouts
von: Talhi, Mouad, et al.
Veröffentlicht: (2026)

Symmetry Breaking and Equivariant Neural Networks
von: Kaba, Sékou-Oumar, et al.
Veröffentlicht: (2023)

Learning Higher-Order Structure from Incomplete Spatiotemporal Data: Multi-Scale Hypergraph Laplacians with Neural Refinement
von: Wu, Keshu, et al.
Veröffentlicht: (2026)

Remove Symmetries to Control Model Expressivity and Improve Optimization
von: Ziyin, Liu, et al.
Veröffentlicht: (2024)

GCN-TULHOR: Trajectory-User Linking Leveraging GCNs and Higher-Order Spatial Representations
von: Tran, Khoa, et al.
Veröffentlicht: (2025)

Equivariant Symmetry Breaking Sets
von: Xie, YuQing, et al.
Veröffentlicht: (2024)

Inductive Link Prediction on N-ary Relational Facts via Semantic Hypergraph Reasoning
von: Yin, Gongzhu, et al.
Veröffentlicht: (2025)

Symmetry-Breaking Descent for Invariant Cost Functionals
von: Osipov, Mikhail
Veröffentlicht: (2025)

To Augment or Not to Augment? Diagnosing Distributional Symmetry Breaking
von: Lawrence, Hannah, et al.
Veröffentlicht: (2025)

Towards Dynamic Graph Neural Networks with Provably High-Order Expressive Power
von: Wang, Zhe, et al.
Veröffentlicht: (2024)

Higher-Order Modular Attention: Fusing Pairwise and Triadic Interactions for Protein Sequences
von: Amiraslani, Shirin, et al.
Veröffentlicht: (2026)

Tensor Convolutional Network for Higher-Order Interaction Prediction in Sparse Tensors
von: Jang, Jun-Gi, et al.
Veröffentlicht: (2025)

Unsat Core Prediction through Polarity-Aware Representation Learning over Clause-Literal Hypergraphs
von: Sun, Zhenchao, et al.
Veröffentlicht: (2026)

Scalable Expressiveness through Preprocessed Graph Perturbations
von: Saber, Danial, et al.
Veröffentlicht: (2024)

Breaking Symmetry When Training Transformers
von: Zuo, Chunsheng, et al.
Veröffentlicht: (2024)

Learning Efficiency Meets Symmetry Breaking
von: Bai, Yingbin, et al.
Veröffentlicht: (2025)

Any-Subgroup Equivariant Networks via Symmetry Breaking
von: Goel, Abhinav, et al.
Veröffentlicht: (2026)

FedMSGL: A Self-Expressive Hypergraph Based Federated Multi-View Learning
von: Li, Daoyuan, et al.
Veröffentlicht: (2025)

Boosting Multitask Learning on Graphs through Higher-Order Task Affinities
von: Li, Dongyue, et al.
Veröffentlicht: (2023)

Higher-order Structure Boosts Link Prediction on Temporal Graphs
von: Liu, Jingzhe, et al.
Veröffentlicht: (2025)

Symmetry Breaking in Neural Network Optimization: Insights from Input Dimension Expansion
von: Zhang, Jun-Jie, et al.
Veröffentlicht: (2024)

Expressive Mortality Models through Gaussian Process Kernels
von: Ludkovski, Mike, et al.
Veröffentlicht: (2023)

Breaking Data Symmetry is Needed For Generalization in Feature Learning Kernels
von: Bernal, Marcel Tomàs, et al.
Veröffentlicht: (2026)

No More Maybe-Arrows: Resolving Causal Uncertainty by Breaking Symmetries
von: Huang, Tingrui, 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
ui	"standard"
VUFIND_SESSION	"914e4c2a006e7518e56078f8239b1725"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790782779.3738 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "914e4c2a006e7518e56078f8239b1725" ]`]
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	"ui=standard; VUFIND_SESSION=914e4c2a006e7518e56078f8239b1725; 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	"216.73.216.147"
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	"51132"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2402_11339/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2402_11339/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790782779.3693
REQUEST_TIME	1790782779

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler