A note on condition numbers for generalized inverse C^‡_A and their statistical estimation

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Samar, Mahvish, Shahkoor, Abdual
Format:	Preprint
Veröffentlicht:	2026
Schlagworte:	Numerical Analysis
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Multiscale estimates for the condition number of non-harmonic Fourier matrices
von: Li, Weilin
Veröffentlicht: (2023)

Lecture note on inverse problems and reconstruction methods
von: Machida, Manabu
Veröffentlicht: (2024)

A note on best n-term approximation for generalized Wiener classes
von: DeVore, Ronald, et al.
Veröffentlicht: (2024)

Waveform inversion with a data driven estimate of the internal wave
von: Borcea, Liliana, et al.
Veröffentlicht: (2022)

Asymptotic condition numbers for linear ordinary differential equations
von: Maset, Stefano
Veröffentlicht: (2025)

A note on generalized tensor CUR approximation for tensor pairs and tensor triplets based on the tubal product
von: Ahmadi-Asl, Salman, et al.
Veröffentlicht: (2023)

A short note on inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$
von: Zulehner, Walter
Veröffentlicht: (2022)

Computation of tensors generalized inverses under $M$-product and applications
von: Sahoo, Jajati Keshari, et al.
Veröffentlicht: (2024)

Connecting Kaporin's condition number and the Bregman log determinant divergence
von: Bock, Andreas A., et al.
Veröffentlicht: (2025)

A note on some bounds between cubic spline interpolants depending on the boundary conditions: Application to a monotonicity property
von: Baeza, Antonio, et al.
Veröffentlicht: (2024)

On MAP estimates and source conditions for drift identification in SDEs
von: Tenbrinck, Daniel, et al.
Veröffentlicht: (2025)

Efficient hyperparameter estimation in Bayesian inverse problems using sample average approximation
von: Chung, Julianne, et al.
Veröffentlicht: (2024)

Nonharmonic multivariate Fourier transforms and matrices: condition numbers and hyperplane geometry
von: Li, Weilin
Veröffentlicht: (2024)

The average condition number of most tensor rank decomposition problems is infinite
von: Beltrán, Carlos, et al.
Veröffentlicht: (2019)

A priori error estimates of a diffusion equation with Ventcel boundary conditions on curved meshes
von: Caubet, Fabien, et al.
Veröffentlicht: (2023)

Higher order error estimates for regularization of inverse problems under non-additive noise
von: Mirciu, Diana-Elena, et al.
Veröffentlicht: (2024)

Decay estimates for Cayley transforms and inverses of semigroup generators via the $\mathcal{B}$-calculus
von: Wakaiki, Masashi
Veröffentlicht: (2023)

Real-time aerodynamic load estimation for hypersonics via strain-based inverse maps
von: Pham, Julie, et al.
Veröffentlicht: (2024)

Caccioppoli-type estimates and $\mathcal{H}$-Matrix approximations to inverses for FEM-BEM couplings
von: Faustmann, Markus, et al.
Veröffentlicht: (2020)

Asymptotic condition numbers for linear ordinary differential equations: the generic real case
von: Maset, Stefano
Veröffentlicht: (2026)

Towards $C^0$ finite element methods for fourth-order elliptic equation. Part I: general boundary conditions
von: Zhang, Xihao, et al.
Veröffentlicht: (2026)

Optimized Schwarz method for the Stokes-Darcy problem with generalized interface conditions
von: Strohbeck, Paula, et al.
Veröffentlicht: (2025)

Flipped structured matrix-sequences in image deblurring with general boundary conditions
von: Ferrari, Paola, et al.
Veröffentlicht: (2024)

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements
von: Sun, Chunlong, et al.
Veröffentlicht: (2025)

Estimating condition number with Graph Neural Networks
von: Carson, Erin, et al.
Veröffentlicht: (2026)

On a modified Hilbert transformation, the discrete inf-sup condition, and error estimates
von: Löscher, Richard, et al.
Veröffentlicht: (2024)

Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions
von: Bullerjahn, Nils, et al.
Veröffentlicht: (2024)

A priori error estimates for stable generalized finite element discretization of parabolic interface optimal control problems
von: Zhang, Xindan, et al.
Veröffentlicht: (2025)

A note on Laguerre truncated polynomials and quadrature formula
von: García-Ardila, Juan C., et al.
Veröffentlicht: (2024)

Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions
von: Zhang, Yi, et al.
Veröffentlicht: (2024)

A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
von: Ciarlet, Patrick, et al.
Veröffentlicht: (2026)

G-Drazin inverse combined with inner inverse
von: Maharanaa, G., et al.
Veröffentlicht: (2024)

Preasymptotic error estimates of higher-order EEM for the time-harmonic Maxwell equations with large wave number
von: Lu, Shuaishuai, et al.
Veröffentlicht: (2025)

Preasymptotic error estimates of EEM and CIP-EEM for the time-harmonic Maxwell equations with large wave number
von: Lu, Shuaishuai, et al.
Veröffentlicht: (2024)

A note on the rate of convergence of integration schemes for closed surfaces
von: Zavalani, Gentian, et al.
Veröffentlicht: (2023)

A note on sampling recovery of multivariate functions in the uniform norm
von: Pozharska, Kateryna, et al.
Veröffentlicht: (2021)

A note on the numerical approximation of Greeks for American-style options
von: Hout, Karel J. in 't
Veröffentlicht: (2024)

Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition
von: Murshed, Md. Masum, et al.
Veröffentlicht: (2019)

A preconditioned inverse iteration with an improved convergence guarantee
von: Alimisis, Foivos, et al.
Veröffentlicht: (2024)

Adaptive minimax optimality in statistical inverse problems via SOLIT -- Sharp Optimal Lepskii-Inspired Tuning
von: Li, Housen, et al.
Veröffentlicht: (2023)

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
ui	"standard"
VUFIND_SESSION	"483cdd3c7beb746b0e55297779baedcc"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790979676.2736 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "483cdd3c7beb746b0e55297779baedcc" ]`]
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	"ui=standard; VUFIND_SESSION=483cdd3c7beb746b0e55297779baedcc; 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	"14391"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2601_08553/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2601_08553/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790979676.2692
REQUEST_TIME	1790979676

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler