Online Learning for Autoregressive Multilayer Stochastic Block Models under Stationarity and Non-Stationarity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Fan, Xu, Haotian, Yu, Yi
Format:	Preprint
Published:	2026
Subjects:	Methodology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

A Frequency-Domain NonStationarity Test for dependent data
by: Haye, Mohamedou Ould, et al.
Published: (2025)

StationarityToolkit: Comprehensive Time Series Stationarity Analysis in Python
by: Malla, Bhanu Suraj, et al.
Published: (2026)

Rolling-Origin Conformal Prediction under Local Stationarity and Weak Dependence
by: Halkiewicz, Stanisław M. S.
Published: (2026)

A Wide-Sense Stationarity Test Based on the Geometric Structure of Covariance
by: Wang, Yinbu, et al.
Published: (2025)

A Global Wavelet Based Bootstrapped Test of Covariance Stationarity
by: Hill, Jonathan B., et al.
Published: (2022)

Online network change point detection with missing values and temporal dependence
by: Xu, Haotian, et al.
Published: (2021)

A Stability Principle for Learning under Non-Stationarity
by: Huang, Chengpiao, et al.
Published: (2023)

The Bradley-Terry Stochastic Block Model
by: Santi, Lapo, et al.
Published: (2025)

Multilayer random dot product graphs: Estimation and online change point detection
by: Wang, Fan, et al.
Published: (2023)

Off-Policy Evaluation and Learning for the Future under Non-Stationarity
by: Shimizu, Tatsuhiro, et al.
Published: (2025)

Change point localisation and inference in fragmented functional data
by: Xue, Gengyu, et al.
Published: (2024)

Variational Nonparametric Inference in Functional Stochastic Block Model
by: Shang, Zuofeng, et al.
Published: (2024)

Do Stationarity Transformations Actually Improve Time Series Forecasts? A Controlled Experimental Evaluation
by: Malla, Bhanu Suraj, et al.
Published: (2026)

Balanced Stochastic Block Model for Community Detection in Signed Networks
by: Chen, Yichao, et al.
Published: (2026)

A Note on the Identifiability of the Degree-Corrected Stochastic Block Model
by: Park, John, et al.
Published: (2024)

A Dynamic Stochastic Block Model for Multidimensional Networks
by: López, Ovielt Baltodano, et al.
Published: (2022)

Information-Theoretic Limits and Strong Consistency on Binary Non-uniform Hypergraph Stochastic Block Models
by: Wang, Hai-Xiao
Published: (2023)

Bayesian Inference for Non-Gaussian Simultaneous Autoregressive Models with Missing Data
by: Wijayawardhana, Anjana, et al.
Published: (2025)

Estimation and Statistical Inference for Generalized Multilayer Latent Space Model
by: Liu, Zhaozhe, et al.
Published: (2026)

Two-way Homogeneity Pursuit for Quantile Network Vector Autoregression
by: Liu, Wenyang, et al.
Published: (2024)

CALF-SBM: A Covariate-Assisted Latent Factor Stochastic Block Model
by: Louit, Sydney, et al.
Published: (2025)

High-dimensional Autoregressive Modeling for Time Series with Hierarchical Structures
by: Li, Lan, et al.
Published: (2025)

Stochastic Block Covariance Matrix Estimation
by: Chen, Yunran, et al.
Published: (2025)

Change Point Localization and Inference in Dynamic Multilayer Networks
by: Wang, Fan, et al.
Published: (2025)

Joint Spectral Clustering in Multilayer Degree-Corrected Stochastic Blockmodels
by: Agterberg, Joshua, et al.
Published: (2022)

A Bayesian Nonparametric Stochastic Block Model for Directed Acyclic Graphs
by: Lee, Clement, et al.
Published: (2023)

Two-way Matrix Autoregressive Model with Thresholds
by: Yu, Cheng, et al.
Published: (2024)

From Simple to Composite Perturbations: A Unified Decomposition Framework for Stochastic Block Models
by: Hu, Jianwei, et al.
Published: (2026)

Bayesian Modeling of the Stochastic Block Model for Weighted Network Data with Zero-Inflated Negative Binomial Distribution
by: Iwashige, Fumiya
Published: (2026)

Identification in Nonlinear Dynamic Panel Models under Partial Stationarity
by: Gao, Wayne Yuan, et al.
Published: (2023)

A Multilayer Probit Network Model for Community Detection with Dependent Edges and Layers
by: Shi, Dapeng, et al.
Published: (2026)

Multiple Hypothesis Testing To Estimate The Number Of Communities in Stochastic Block Models
by: Jha, Chetkar, et al.
Published: (2025)

Selecting the Number of Communities for Weighted Degree-Corrected Stochastic Block Models
by: Liu, Yucheng, et al.
Published: (2024)

Multi-relational Network Autoregression Model with Latent Group Structures
by: Ren, Yimeng, et al.
Published: (2024)

On a Stationarity Theory for Stochastic Volterra Integral Equations
by: Gnabeyeu, Emmanuel, et al.
Published: (2025)

Cointegrated Matrix Autoregression Models
by: Li, Zebang, et al.
Published: (2024)

Spectral Clustering on Multilayer Networks with Covariates
by: Zhao, Da, et al.
Published: (2025)

Privacy-Protected Spatial Autoregressive Model
by: Huang, Danyang, et al.
Published: (2024)

A Hybrid Framework Combining Autoregression and Common Factors for Matrix Time Series
by: Fan, Zhiyun, 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	"99d9ff75d149f58ec3d2de810bf21397"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847088.1716 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "99d9ff75d149f58ec3d2de810bf21397" ]`]
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=99d9ff75d149f58ec3d2de810bf21397; ui=standard; language=en"
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	"31417"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_25156/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_25156/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847088.1553
REQUEST_TIME	1790847088

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"99d9ff75d149f58ec3d2de810bf21397"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847088.1716 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "99d9ff75d149f58ec3d2de810bf21397" ]`]
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=99d9ff75d149f58ec3d2de810bf21397; ui=standard; language=en"
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	"31417"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_25156/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_25156/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847088.1553
REQUEST_TIME	1790847088

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: