Towards Convexity in Anomaly Detection: A New Formulation of SSLM with Unique Optimal Solutions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Hongying, Wang, Hao, Chu, Haoran, Wu, Yibo
Format:	Preprint
Published:	2024
Subjects:	Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Convex Distance Operator Transport: A Convex and Geometry-Preserving Formulation
by: Chung, Junhyoung, et al.
Published: (2026)

Towards Anomaly-Aware Pre-Training and Fine-Tuning for Graph Anomaly Detection
by: Liu, Yunhui, et al.
Published: (2025)

Towards One-for-All Anomaly Detection for Tabular Data
by: Li, Shiyuan, et al.
Published: (2026)

Calibrating Tabular Anomaly Detection via Optimal Transport
by: Ye, Hangting, et al.
Published: (2026)

Towards Token-Level Text Anomaly Detection
by: Cao, Yang, et al.
Published: (2026)

AnomalyAID: Reliable Interpretation for Semi-supervised Network Anomaly Detection
by: Yuan, Yachao, et al.
Published: (2024)

Universal Online Convex Optimization with $1$ Projection per Round
by: Yang, Wenhao, et al.
Published: (2024)

DARTs: A Dual-Path Robust Framework for Anomaly Detection in High-Dimensional Multivariate Time Series
by: Liu, Xuechun, et al.
Published: (2025)

A New Formulation for Zeroth-Order Optimization of Adversarial EXEmples in Malware Detection
by: Rando, Marco, et al.
Published: (2024)

GLADformer: A Mixed Perspective for Graph-level Anomaly Detection
by: Xu, Fan, et al.
Published: (2024)

Universal Online Convex Optimization Meets Second-order Bounds
by: Zhang, Lijun, et al.
Published: (2021)

Can Multimodal LLMs Perform Time Series Anomaly Detection?
by: Xu, Xiongxiao, et al.
Published: (2025)

RobustTSF: Towards Theory and Design of Robust Time Series Forecasting with Anomalies
by: Cheng, Hao, et al.
Published: (2024)

From Few-Shot to Zero-Shot: Towards Generalist Graph Anomaly Detection
by: Liu, Yixin, et al.
Published: (2026)

DQE: A Semantic-Aware Evaluation Metric for Time Series Anomaly Detection
by: Li, Yuewei, et al.
Published: (2026)

Towards Optimal Adversarial Robust Q-learning with Bellman Infinity-error
by: Li, Haoran, et al.
Published: (2024)

Towards Optimal Adversarial Robust Reinforcement Learning with Infinity Measurement Error
by: Li, Haoran, et al.
Published: (2025)

Towards Cross-domain Few-shot Graph Anomaly Detection
by: Chen, Jiazhen, et al.
Published: (2024)

Towards Unsupervised Validation of Anomaly-Detection Models
by: Idan, Lihi
Published: (2024)

PUL-Inter-slice Defender: An Anomaly Detection Solution for Distributed Slice Mobility Attacks
by: Molina, Ricardo Misael Ayala, et al.
Published: (2025)

Convex Formulations for Training Two-Layer ReLU Neural Networks
by: Prakhya, Karthik, et al.
Published: (2024)

Isolation-based Spherical Ensemble Representations for Anomaly Detection
by: Cao, Yang, et al.
Published: (2025)

AXIS: Explainable Time Series Anomaly Detection with Large Language Models
by: Lan, Tian, et al.
Published: (2025)

Graph Evidential Learning for Anomaly Detection
by: Wei, Chunyu, et al.
Published: (2025)

Towards Foundation Models for Zero-Shot Time Series Anomaly Detection: Leveraging Synthetic Data and Relative Context Discrepancy
by: Lan, Tian, et al.
Published: (2025)

Know Unreported Roadway Incidents in Real-time: Early Traffic Anomaly Detection
by: Duan, Haocheng, et al.
Published: (2024)

Towards a Unified Framework of Clustering-based Anomaly Detection
by: Fang, Zeyu, et al.
Published: (2024)

A Deep Learning Approach to Anomaly Detection in High-Frequency Trading Data
by: Bao, Qiuliuyang, et al.
Published: (2025)

Unsupervised Anomaly Detection through Mass Repulsing Optimal Transport
by: Montesuma, Eduardo Fernandes, et al.
Published: (2025)

Unifying Unsupervised Graph-Level Anomaly Detection and Out-of-Distribution Detection: A Benchmark
by: Wang, Yili, et al.
Published: (2024)

Towards Multiple Missing Values-resistant Unsupervised Graph Anomaly Detection
by: Chen, Jiazhen, et al.
Published: (2025)

Multi-Normal Prototypes Learning for Weakly Supervised Anomaly Detection
by: Dong, Zhijin, et al.
Published: (2024)

Learning Feature Encoder with Synthetic Anomalies for Weakly Supervised Graph Anomaly Detection
by: Zhou, Yingjie, et al.
Published: (2026)

Towards Explainable Anomaly Detection in Shared Mobility Systems
by: Isgandarov, Elnur, et al.
Published: (2025)

Cluster Aware Graph Anomaly Detection
by: Zheng, Lecheng, et al.
Published: (2024)

Deep Graph Anomaly Detection: A Survey and New Perspectives
by: Qiao, Hezhe, et al.
Published: (2024)

Optimal and Efficient Algorithms for Decentralized Online Convex Optimization
by: Wan, Yuanyu, et al.
Published: (2024)

An Asymptotically Optimal Algorithm for the Convex Hull Membership Problem
by: Qiao, Gang, et al.
Published: (2023)

Towards Real-world Debiasing: Rethinking Evaluation, Challenge, and Solution
by: Kuang, Peng, 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
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971099.326 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
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=55c61787f4d709bb7faf8c0c8c32fe99; 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	"216.73.217.142"
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	"52624"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2410_23774/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2410_23774/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971099.3219
REQUEST_TIME	1790971099

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971099.326 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
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=55c61787f4d709bb7faf8c0c8c32fe99; 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	"216.73.217.142"
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	"52624"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2410_23774/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2410_23774/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971099.3219
REQUEST_TIME	1790971099

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: