:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Bosca, Vicente, Rask, Tatum, Tanweer, Sunia, Tawfeek, Andrew R., Stone, Branden
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Artificial Intelligence Computational Geometry Algebraic Topology
Online Access:	https://arxiv.org/abs/2510.12700
Tags:	Add Tag No Tags, Be the first to tag this record!

Topological Expressivity of ReLU Neural Networks
by: Ergen, Ekin, et al.
Published: (2023)

Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
by: Tanweer, Sunia, et al.
Published: (2024)

Topology and Geometry of the Learning Space of ReLU Networks: Connectivity and Singularities
by: Nurisso, Marco, et al.
Published: (2026)

Topological obstruction to the training of shallow ReLU neural networks
by: Nurisso, Marco, et al.
Published: (2024)

Use of Topological Data Analysis for the Detection of Phenomenological Bifurcations in Stochastic Epidemiological Models
by: Tanweer, Sunia, et al.
Published: (2025)

Learning Tangent Bundles and Characteristic Classes with Autoencoder Atlases
by: Paluzo-Hidalgo, Eduardo, et al.
Published: (2026)

Local and global topological complexity measures OF ReLU neural network functions
by: Grigsby, J. Elisenda, et al.
Published: (2022)

Combinatorial Regularity for Relatively Perfect Discrete Morse Gradient Vector Fields of ReLU Neural Networks
by: Brooks, Robyn, et al.
Published: (2024)

Topological groupoids with involution and real algebraic stacks
by: Ambrosi, Emiliano, et al.
Published: (2025)

The stable cohomology of the moduli space of curves with level structures
by: Putman, Andrew
Published: (2022)

Galois Symmetry of $Gal(\overline{\mathbb{Q}}/\mathbb{Q})$ on Topological Manifold Structures of Varieties
by: Hu, Runjie
Published: (2023)

Topological complexity of Milnor fibration
by: Zapata, Cesar A. Ipanaque, et al.
Published: (2024)

A Decomposition Theorem for Topological Branched Coverings
by: Sharaf, Shahryar Ghaed
Published: (2025)

The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
by: Fay, Aideen, et al.
Published: (2025)

Lectures on AI for Mathematics
by: Chen, Xiaoyang, et al.
Published: (2026)

The Symmetries of Three-Layer ReLU Networks
by: Gegenfurtner, Johanna Marie, et al.
Published: (2026)

Graph invariants from the topology of rigid isotopy classes
by: Belotti, Mara, et al.
Published: (2020)

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models
by: Hu, Chuan-Shen
Published: (2026)

Constraining the outputs of ReLU neural networks
by: Alexandr, Yulia, et al.
Published: (2025)

Toric geometry of ReLU neural networks
by: Fu, Yaoying
Published: (2025)

ChatGPT for Computational Topology
by: Liu, Jian, et al.
Published: (2023)

Topological Correlation
by: Mastroianni, Isabella, et al.
Published: (2025)

Gromov-Hausdorff Distance for Directed Spaces
by: Fajstrup, Lisbeth, et al.
Published: (2024)

Four dimensional almost complex torus manifolds
by: Jang, Donghoon
Published: (2023)

A tropical framework for using Porteous formula
by: Tawfeek, Andrew R.
Published: (2024)

Topological field theories associated with Calabi-Yau categories
by: Bozec, Tristan, et al.
Published: (2024)

Cyclotomic Structures in Symplectic Topology
by: Rezchikov, Semon
Published: (2024)

Filtered Topology and Persistence in Stable Homotopy
by: Miller, John
Published: (2025)

Topological Hyperbolicity of Moduli spaces of Elliptic Surfaces
by: Lü, Xin, et al.
Published: (2021)

Simplicial Hausdorff Distance for Topological Data Analysis
by: Nnadi, Nkechi, et al.
Published: (2025)

Formal Manifold Structures on Positive Characteristic Varieties
by: Hu, Runjie, et al.
Published: (2025)

Stable homology of strata of abelian differentials
by: Tosteson, Philip
Published: (2026)

A homotopical consequence of branched covers
by: Hu, Runjie
Published: (2023)

Prym Representations and Twisted Cohomology of the Mapping Class Group with Level Structures
by: Zhong, Xiyan
Published: (2024)

On the topology of real algebraic stacks
by: Ambrosi, Emiliano, et al.
Published: (2025)

Weight two compactly supported cohomology of moduli spaces of curves
by: Payne, Sam, et al.
Published: (2021)

Topological Feature Search in Time-Varying Multifield Data
by: Agarwal, Tripti, et al.
Published: (2019)

Topological monodromy kernels for fundamental groups of discriminant complements
by: Salter, Nick
Published: (2024)

Classification of Horikawa surfaces with T-singularities
by: Monreal, Vicente, 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	"701215612a1404a2e0873f7c5c3589f5"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784417328.9811 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "701215612a1404a2e0873f7c5c3589f5" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=701215612a1404a2e0873f7c5c3589f5; language=en; 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	"216.73.217.30"
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	"58072"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_12700/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_12700/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784417328.9664
REQUEST_TIME	1784417328

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"701215612a1404a2e0873f7c5c3589f5"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784417328.9811 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "701215612a1404a2e0873f7c5c3589f5" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=701215612a1404a2e0873f7c5c3589f5; language=en; 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	"216.73.217.30"
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	"58072"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_12700/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_12700/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784417328.9664
REQUEST_TIME	1784417328

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: