Optimal control of stochastic cylinder flow using data-driven compressive sensing method

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Liuhong, Ming, Ju, Gunzburger, Max D.
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Optimal control of stochastic homogenous systems
by: Hu, Ying, et al.
Published: (2025)

Duality methods in stochastic optimal control
by: Bank, Peter, et al.
Published: (2026)

End-to-end guarantees for indirect data-driven control of bilinear systems with finite stochastic data
by: Chatzikiriakos, Nicolas, et al.
Published: (2024)

A deep learning method for solving stochastic optimal control problems driven by fully-coupled FBSDEs
by: Ji, Shaolin, et al.
Published: (2022)

Optimal control of SPDEs driven by time-space Brownian motion
by: Agram, Nacira, et al.
Published: (2023)

Multi-cut stochastic approximation methods for solving stochastic convex composite optimization
by: Liang, Jiaming, et al.
Published: (2025)

A wonderful triangle in compressed sensing
by: Wang, Jun
Published: (2022)

Maximum principle for optimal control of infinite horizon stochastic difference equations driven by fractional noises
by: Han, Yuecai, et al.
Published: (2025)

Soft projections for robust data-driven control
by: Sasfi, András, et al.
Published: (2026)

Gaussian behaviors: representations and data-driven control
by: Sasfi, András, et al.
Published: (2025)

Trajectory-based data-driven predictive control and the state-space predictor
by: Premer, Levi D. Reyes, et al.
Published: (2026)

General mean-field stochastic linear quadratic control problem driven by Lévy processes with random coefficients
by: Tang, Yanyan, et al.
Published: (2025)

Towards explainable data-driven predictive control with regularizations
by: Klädtke, Manuel, et al.
Published: (2025)

Implicit predictors in regularized data-driven predictive control
by: Klädtke, Manuel, et al.
Published: (2023)

Sample- and computationally efficient data-driven predictive control
by: Alsalti, Mohammad, et al.
Published: (2023)

Two-component controller design to safeguard data-driven predictive control
by: Bold, Lea, et al.
Published: (2025)

Flow matching for stochastic linear control systems
by: Mei, Yuhang, et al.
Published: (2024)

A model reduction method based on nonlinear optimization for multiscale stochastic optimal control problems
by: Ma, Lingling, et al.
Published: (2025)

Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations
by: Han, Yuecai, et al.
Published: (2024)

Data-driven control and transfer learning using neural canonical control structures*
by: Ecker, Lukas, et al.
Published: (2023)

Extending direct data-driven predictive control towards systems with finite control sets
by: Klädtke, Manuel, et al.
Published: (2024)

Cellular flow control design for mixing based on the least action principle
by: Hu, Weiwei, et al.
Published: (2025)

On data usage and predictive behavior of data-driven predictive control with 1-norm regularization
by: Klädtke, Manuel, et al.
Published: (2025)

An overview of systems-theoretic guarantees in data-driven model predictive control
by: Berberich, Julian, et al.
Published: (2024)

Data-driven control of nonlinear systems from input-output data
by: Dai, Xiaoyan, et al.
Published: (2023)

Notes on data-driven output-feedback control of linear MIMO systems
by: Alsalti, Mohammad, et al.
Published: (2023)

Distributionally robust stochastic optimal control
by: Shapiro, Alexander, et al.
Published: (2024)

Computer-aided analyses of stochastic first-order methods, via interpolation conditions for stochastic optimization
by: Rubbens, Anne, et al.
Published: (2025)

Flattened one-bit stochastic gradient descent: compressed distributed optimization with controlled variance
by: Stollenwerk, Alexander, et al.
Published: (2024)

Towards a unifying framework for data-driven predictive control with quadratic regularization
by: Klädtke, Manuel, et al.
Published: (2024)

Delayed supermartingale convergence lemmas for stochastic approximation with Nesterov momentum
by: Ming-Kun, Zhang
Published: (2024)

Almost sure convergence of stochastic Hamiltonian descent methods
by: Williamson, Måns, et al.
Published: (2024)

Mirror descent method for stochastic multi-objective optimization
by: Yang, Linxi, et al.
Published: (2024)

Universal methods for variational inequalities: deterministic and stochastic cases
by: Klimza, Anton, et al.
Published: (2024)

A global stochastic maximum principle for delayed forward-backward stochastic control systems
by: Li, Feng
Published: (2026)

Faster stochastic cubic regularized Newton methods with momentum
by: Yang, Yiming, et al.
Published: (2025)

On Busemann subgradient methods for stochastic minimization in Hadamard spaces
by: Pischke, Nicholas
Published: (2026)

Achieving Linear Speedup and Near-Optimal Complexity for Decentralized Optimization over Row-stochastic Networks
by: Liang, Liyuan, et al.
Published: (2025)

Mirror descent for constrained stochastic control problems
by: Sethi, Deven, 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
language	"en"
VUFIND_SESSION	"16908ca0a1b759308841de9844bdcb72"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790804554.7845 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "16908ca0a1b759308841de9844bdcb72" ]`]
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	"language=en; VUFIND_SESSION=16908ca0a1b759308841de9844bdcb72; ui=standard"
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	"51969"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2403_07656/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2403_07656/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790804554.7678
REQUEST_TIME	1790804554

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
VUFIND_SESSION	"16908ca0a1b759308841de9844bdcb72"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790804554.7845 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "16908ca0a1b759308841de9844bdcb72" ]`]
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	"language=en; VUFIND_SESSION=16908ca0a1b759308841de9844bdcb72; ui=standard"
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	"51969"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2403_07656/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2403_07656/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790804554.7678
REQUEST_TIME	1790804554

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: