Generalized Nash equilibrium problems with quasi-linear constraints

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Choi, Jiyoung, Nie, Jiawang, Tang, Xindong, Zhong, Suhan
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control 90C23, 90C33, 91A10, 65K05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints
by: Wang, Jia, et al.
Published: (2025)

A Jacobi-type Newton method for Nash equilibrium problems with descent guarantees
by: Kolossoski, Oliver, et al.
Published: (2022)

Monomial barrier functions for the box-constrained convex optimization problems
by: Fayed, Hatem
Published: (2024)

Inexact Riemannian Gradient Descent Method for Nonconvex Optimization
by: Zhou, Juan, et al.
Published: (2024)

Max-Min Bilinear Completely Positive Programs: A Semidefinite Relaxation with Tightness Guarantees
by: Gao, Sarah Yini, et al.
Published: (2026)

Mathematical programs with complementarity constraints and application to hyperparameter tuning for nonlinear support vector machines
by: Ward, Samuel, et al.
Published: (2025)

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics
by: Boţ, Radu Ioan, et al.
Published: (2025)

On circumcentered direct methods for monotone variational inequality problems
by: Behling, Roger, et al.
Published: (2025)

Technical results on the convergence of quasi-Newton methods for nonsmooth optimization
by: Gebken, Bennet
Published: (2025)

Parameter-Free Accelerated Quasi-Newton Method for Nonconvex Optimization
by: Marumo, Naoki
Published: (2025)

Anderson Accelerated Primal-Dual Hybrid Gradient for solving LP
by: Zhou, Yingxin, et al.
Published: (2025)

Stochastic optimization over proximally smooth sets
by: Davis, Damek, et al.
Published: (2020)

Stochastic momentum ADMM for nonconvex and nonsmooth optimization with application to PnP algorithm
by: Deng, Kangkang, et al.
Published: (2025)

A structured L-BFGS method and its application to inverse problems
by: Mannel, Florian, et al.
Published: (2023)

Robust Completion for Rank-1 Tensors with Noises
by: Nie, Jiawang, et al.
Published: (2025)

Gradient descent with adaptive stepsize converges (nearly) linearly under fourth-order growth
by: Davis, Damek, et al.
Published: (2024)

Steering exact penalty DCA for nonsmooth DC optimization problems with equality and inequality constraints
by: Dolgopolik, M. V.
Published: (2021)

Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization
by: Deng, Kangkang, et al.
Published: (2024)

Yau's Affine-Normal Descent for Large-Scale Unrestricted Higher-Moment Portfolio Optimization
by: Wang, Ya-Juan, et al.
Published: (2026)

Active set identification and rapid convergence for degenerate primal-dual problems
by: Díaz, Mateo, et al.
Published: (2026)

An efficient asymptotic DC method for sparse and low-rank matrix recovery
by: Ding, Mingcai, et al.
Published: (2024)

A globalization of L-BFGS and the Barzilai-Borwein method for nonconvex unconstrained optimization
by: Mannel, Florian
Published: (2024)

A Bregman ADMM for Bethe variational problem
by: Khoo, Yuehaw, et al.
Published: (2025)

Complexity of an inexact stochastic SQP algorithm for equality constrained optimization
by: O'Neill, Michael J., et al.
Published: (2026)

A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
by: Millán, R. Díaz, et al.
Published: (2026)

Bregman proximal gradient method for linear optimization under entropic constraints
by: Briceño-Arias, Luis M., et al.
Published: (2025)

Nash equilibria in semidefinite games and Lemke-Howson paths
by: Ickstadt, Constantin, et al.
Published: (2025)

Local Convergence Results for Sequential Quadratic Programming with Complementarity Constraints
by: Nurkanović, Armin
Published: (2026)

A Globally Convergent Method for Computing B-stationary Points of Mathematical Programs with Equilibrium Constraints
by: Nurkanović, Armin, et al.
Published: (2025)

A structured L-BFGS method with diagonal scaling and its application to image registration
by: Mannel, Florian, et al.
Published: (2024)

Nonsmooth Projection-Free Optimization with Functional Constraints
by: Asgari, Kamiar, et al.
Published: (2023)

New Classes of Non-monotone Variational Inequality Problems Solvable via Proximal Gradient on Smooth Gap Functions
by: Zhao, Lei, et al.
Published: (2025)

ASPEN: An Additional Sampling Penalty Method for Finite-Sum Optimization Problems with Nonlinear Equality Constraints
by: Krejić, Nataša, et al.
Published: (2025)

Mixed-integer linearity in nonlinear optimization: a trust region approach
by: De Marchi, Alberto
Published: (2023)

Extragradient method with feasible inexact projection to variational inequality problem
by: Millán, R. Díaz, et al.
Published: (2023)

Lipschitz continuity of solution multifunctions of extended $\ell_1$ regularization problems
by: Meng, Kaiwen, et al.
Published: (2024)

Implicit augmented Lagrangian and generalized optimization
by: De Marchi, Alberto
Published: (2023)

A Two Stepsize SQP Method for Nonlinear Equality Constrained Stochastic Optimization
by: O'Neill, Michael J.
Published: (2024)

Fast projection onto the top-k-sum constraint
by: Pan, Jianting, 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

Cookies empty

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791202914.0023 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d17f1b9cfac4bc955d1ed1b491b83f91" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#937}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1432}
SessionHelper	Laminas\Stdlib\ArrayObject {#1758}

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_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	"216.73.217.58"
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	"38163"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_03926/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_03926/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791202913.9937
REQUEST_TIME	1791202913

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Cookies empty

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791202914.0023 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d17f1b9cfac4bc955d1ed1b491b83f91" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#937}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1432}
SessionHelper	Laminas\Stdlib\ArrayObject {#1758}

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_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	"216.73.217.58"
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	"38163"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_03926/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_03926/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791202913.9937
REQUEST_TIME	1791202913

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: