Mind the Jumps: A Scalable Robust Local Gaussian Process for Multidimensional Response Surfaces with Discontinuities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Adjetey, Isaac, She, Yiyuan
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Applications
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Generative Bayesian Computation as a Scalable Alternative to Gaussian Process Surrogates
by: Polson, Nick, et al.
Published: (2026)

Vector Optimization with Gaussian Process Bandits
by: Korkmaz, İlter Onat, et al.
Published: (2024)

rSVDdpd: A Robust Scalable Video Surveillance Background Modelling Algorithm
by: Roy, Subhrajyoty, et al.
Published: (2021)

The Currents of Conflict: Decomposing Conflict Trends with Gaussian Processes
by: von der Maase, Simon P.
Published: (2025)

A Partitioned Sparse Variational Gaussian Process for Fast, Distributed Spatial Modeling
by: Grosskopf, Michael, et al.
Published: (2025)

Regularized Multi-output Gaussian Convolution Process with Domain Adaptation
by: Xinming, Wang, et al.
Published: (2024)

Traffic State Estimation from Vehicle Trajectories with Anisotropic Gaussian Processes
by: Wu, Fan, et al.
Published: (2023)

A Gaussian Process Model for Ordinal Data with Applications to Chemoinformatics
by: Gosnell, Arron, et al.
Published: (2024)

Probabilistic Wind Power Modelling via Heteroscedastic Non-Stationary Gaussian Processes
by: Ladopoulou, Domniki, et al.
Published: (2025)

Uncertainty-Aware Calibration of a Hot-Wire Anemometer With Gaussian Process Regression
by: García-Ruiz, Rubén Antonio, et al.
Published: (2024)

Predicting Electricity Consumption with Random Walks on Gaussian Processes
by: Hashimoto-Cullen, Chloé, et al.
Published: (2024)

Feature Impact Analysis on Top Long-Jump Performances with Quantile Random Forest and Explainable AI Techniques
by: Gan, Qi, et al.
Published: (2025)

Constrained Bayesian Optimization under Bivariate Gaussian Process with Application to Cure Process Optimization
by: Li, Yezhuo, et al.
Published: (2025)

Digital twin for virtual sensing of ferry quays via a Gaussian Process Latent Force Model
by: Sibille, Luigi, et al.
Published: (2025)

Spatially-Heterogeneous Causal Bayesian Networks for Seismic Multi-Hazard Estimation: A Variational Approach with Gaussian Processes and Normalizing Flows
by: Li, Xuechun, et al.
Published: (2025)

Integrating Marketing Channels into Quantile Transformation and Bayesian Optimization of Ensemble Kernels for Sales Prediction with Gaussian Process Models
by: Mirshekari, Shahin, et al.
Published: (2024)

Gaussian Processes for Probabilistic Estimates of Earthquake Ground Shaking: A 1-D Proof-of-Concept
by: Scivier, Sam A., et al.
Published: (2024)

Sparse Variational Contaminated Noise Gaussian Process Regression with Applications in Geomagnetic Perturbations Forecasting
by: Iong, Daniel, et al.
Published: (2024)

Robust non-parametric mortality and fertility modelling and forecasting: Gaussian process regression approaches
by: Lam, Ka Kin, et al.
Published: (2021)

Donor's Deferral and Return Behavior: Partial Identification from a Regression Discontinuity Design with Manipulation
by: Rosenman, Evan, et al.
Published: (2019)

A Framework for Scalable Ambient Air Pollution Concentration Estimation
by: Berrisford, Liam J, et al.
Published: (2024)

Local transfer learning Gaussian process modeling, with applications to surrogate modeling of expensive computer simulators
by: Wang, Xinming, et al.
Published: (2024)

Sampling from Gaussian Processes: A Tutorial and Applications in Global Sensitivity Analysis and Optimization
by: Do, Bach, et al.
Published: (2025)

Permutation invariant multi-output Gaussian Processes for drug combination prediction in cancer
by: Rønneberg, Leiv, et al.
Published: (2024)

Adapting Projection-Based Reduced-Order Models using Projected Gaussian Process
by: Liu, Xiao, et al.
Published: (2024)

Profit over Proxies: A Scalable Bayesian Decision Framework for Optimizing Multi-Variant Online Experiments
by: Pillai, Srijesh, et al.
Published: (2025)

Bayesian Nonlinear PDE Inference via Gaussian Process Collocation with Application to the Richards Equation
by: Yang, Yumo, et al.
Published: (2025)

Integrative Learning of Dynamically Evolving Multiplex Graphs and Nodal Attributes Using Neural Network Gaussian Processes with an Application to Dynamic Terrorism Graphs
by: Rodriguez-Acosta, Jose, et al.
Published: (2026)

FaIRGP: A Bayesian Energy Balance Model for Surface Temperatures Emulation
by: Bouabid, Shahine, et al.
Published: (2023)

A Multilayered Approach to Classifying Customer Responsiveness and Credit Risk
by: Afolabi, Ayomide, et al.
Published: (2026)

Regression Discontinuity Design with Distribution-Valued Outcomes
by: Van Dijcke, David
Published: (2025)

Contextual Combinatorial Bandits with Changing Action Sets via Gaussian Processes
by: Nika, Andi, et al.
Published: (2021)

Robust Analysis for Resilient AI System
by: Wang, Yu, et al.
Published: (2025)

Probabilistic Classification of Near-Surface Shallow-Water Sediments using A Portable Free-Fall Penetrometer
by: Rahman, Md Rejwanur, et al.
Published: (2024)

Differentially private synthesis of Spatial Point Processes
by: Kim, Dangchan, et al.
Published: (2025)

Scalable extensions to given-data Sobol' index estimators
by: Portone, Teresa, et al.
Published: (2025)

Scalable Amortized GPLVMs for Single Cell Transcriptomics Data
by: Zhao, Sarah, et al.
Published: (2024)

Manifold Dimension Estimation via Local Graph Structure
by: Bi, Zelong, et al.
Published: (2025)

Graph Data Modeling: Molecules, Proteins, & Chemical Processes
by: Barraza-Chavez, José Manuel, 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
ui	"standard"
language	"en"
VUFIND_SESSION	"2f7494224b0dfdefbf0a6da1fed2f510"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790951409.6714 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2f7494224b0dfdefbf0a6da1fed2f510" ]`]
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; language=en; VUFIND_SESSION=2f7494224b0dfdefbf0a6da1fed2f510"
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	"58419"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_12574/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2512_12574/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790951409.6669
REQUEST_TIME	1790951409

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"2f7494224b0dfdefbf0a6da1fed2f510"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790951409.6714 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2f7494224b0dfdefbf0a6da1fed2f510" ]`]
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; language=en; VUFIND_SESSION=2f7494224b0dfdefbf0a6da1fed2f510"
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	"58419"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_12574/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2512_12574/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790951409.6669
REQUEST_TIME	1790951409

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: