Near-Optimal Algorithms for Constrained k-Center Clustering with Instance-level Background Knowledge

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Guo, Longkun, Jia, Chaoqi, Liao, Kewen, Lu, Zhigang, Xue, Minhui
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Machine Learning Artificial Intelligence
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Approximation Algorithm for Constrained $k$-Center Clustering: A Local Search Approach
von: Jia, Chaoqi, et al.
Veröffentlicht: (2026)

Optimized Algorithms for Text Clustering with LLM-Generated Constraints
von: Jia, Chaoqi, et al.
Veröffentlicht: (2026)

Instance Temperature Knowledge Distillation
von: Zhang, Zhengbo, et al.
Veröffentlicht: (2024)

Improved Streaming Algorithm for Fair $k$-Center Clustering
von: Guo, Longkun, et al.
Veröffentlicht: (2025)

Cluster-Dags as Powerful Background Knowledge For Causal Discovery
von: de Vargas, Jan Marco Ruiz, et al.
Veröffentlicht: (2025)

Reconstruction of Differentially Private Text Sanitization via Large Language Models
von: Pang, Shuchao, et al.
Veröffentlicht: (2024)

DeepFeatIoT: Unifying Deep Learned, Randomized, and LLM Features for Enhanced IoT Time Series Sensor Data Classification in Smart Industries
von: Inan, Muhammad Sakib Khan, et al.
Veröffentlicht: (2025)

Fast and Eager k-Medoids Clustering: O(k) Runtime Improvement of the PAM, CLARA, and CLARANS Algorithms
von: Schubert, Erich, et al.
Veröffentlicht: (2020)

Generalization Performance of Ensemble Clustering: From Theory to Algorithm
von: Zhang, Xu, et al.
Veröffentlicht: (2025)

JMA: a General Algorithm to Craft Nearly Optimal Targeted Adversarial Example
von: Tondi, Benedetta, et al.
Veröffentlicht: (2024)

Large Scale Constrained Clustering With Reinforcement Learning
von: Schesch, Benedikt, et al.
Veröffentlicht: (2024)

On the Representation of Pairwise Causal Background Knowledge and Its Applications in Causal Inference
von: Fang, Zhuangyan, et al.
Veröffentlicht: (2022)

AXIL: Exact Instance Attribution for Gradient Boosting
von: Geertsema, Paul, et al.
Veröffentlicht: (2023)

Localized Graph-Based Neural Dynamics Models for Terrain Manipulation
von: Liu, Chaoqi, et al.
Veröffentlicht: (2025)

Divide-Then-Rule: A Cluster-Driven Hierarchical Interpolator for Attribute-Missing Graphs
von: Hu, Yaowen, et al.
Veröffentlicht: (2025)

Federated Hierarchical Clustering with Automatic Selection of Optimal Cluster Numbers
von: Zhang, Yue, et al.
Veröffentlicht: (2026)

Detecting Scarce and Sparse Anomalous: Solving Dual Imbalance in Multi-Instance Learning
von: Jia, Lin-Han, et al.
Veröffentlicht: (2025)

Easy Adaptation: An Efficient Task-Specific Knowledge Injection Method for Large Models in Resource-Constrained Environments
von: Chen, Dong, et al.
Veröffentlicht: (2025)

Instance-level Randomization: Toward More Stable LLM Evaluations
von: Li, Yiyang, et al.
Veröffentlicht: (2025)

Benchmarking Instance-Centric Counterfactual Algorithms for XAI: From White Box to Black Box
von: Moreira, Catarina, et al.
Veröffentlicht: (2022)

Towards Explainable Clustering: A Constrained Declarative based Approach
von: Guilbert, Mathieu, et al.
Veröffentlicht: (2024)

Near-Optimal Online Deployment and Routing for Streaming LLMs
von: Li, Shaoang, et al.
Veröffentlicht: (2025)

Realizable Abstractions: Near-Optimal Hierarchical Reinforcement Learning
von: Cipollone, Roberto, et al.
Veröffentlicht: (2025)

Finding Clustering Algorithms in the Transformer Architecture
von: Clarkson, Kenneth L., et al.
Veröffentlicht: (2025)

Wittgenstein's Family Resemblance Clustering Algorithm
von: Amanpour, Golbahar, et al.
Veröffentlicht: (2026)

Improving Neural-based Classification with Logical Background Knowledge
von: Ledaguenel, Arthur, et al.
Veröffentlicht: (2024)

Algorithms for Learning Kernels Based on Centered Alignment
von: Cortes, Corinna, et al.
Veröffentlicht: (2012)

BAGEL: Projection-Free Algorithm for Adversarially Constrained Online Convex Optimization
von: Lu, Yiyang, et al.
Veröffentlicht: (2025)

Handling Long and Richly Constrained Tasks through Constrained Hierarchical Reinforcement Learning
von: Lu, Yuxiao, et al.
Veröffentlicht: (2023)

Active Slice Discovery in Large Language Models
von: Zhang, Minhui, et al.
Veröffentlicht: (2025)

Tackling Heavy-Tailed Rewards in Reinforcement Learning with Function Approximation: Minimax Optimal and Instance-Dependent Regret Bounds
von: Huang, Jiayi, et al.
Veröffentlicht: (2023)

Towards Robust Knowledge Tracing Models via k-Sparse Attention
von: Huang, Shuyan, et al.
Veröffentlicht: (2024)

Near-Optimal Experiment Design in Linear non-Gaussian Cyclic Models
von: Sharifian, Ehsan, et al.
Veröffentlicht: (2025)

Near-Optimal Dynamic Matching via Coarsening with Application to Heart Transplantation
von: Zilberstein, Itai, et al.
Veröffentlicht: (2026)

PAIR-Former: Budgeted Relational Multi-Instance Learning for Functional miRNA Target Prediction
von: Yin, Jiaqi, et al.
Veröffentlicht: (2026)

Stagnation in Evolutionary Algorithms: Convergence $\neq$ Optimality
von: Zhou, Xiaojun
Veröffentlicht: (2025)

Meta-Instance Selection. Instance Selection as a Classification Problem with Meta-Features
von: Blachnik, Marcin, et al.
Veröffentlicht: (2025)

Active Policy Improvement from Multiple Black-box Oracles
von: Liu, Xuefeng, et al.
Veröffentlicht: (2023)

InstanceDiffusion: Instance-level Control for Image Generation
von: Wang, Xudong, et al.
Veröffentlicht: (2024)

Safety at One Shot: Patching Fine-Tuned LLMs with A Single Instance
von: Zhang, Jiawen, 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
VUFIND_SESSION	"8e9c674bfa6c224f50f0861b8975c5e8"
ui	"standard"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790882327.4688 "_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	"47293"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2401_12533/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2401_12533/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790882327.4644
REQUEST_TIME	1790882327

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler