Deterministic Reservoir Computing for Chaotic Time Series Prediction

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Viehweg, Johannes, Poll, Constanze, Mäder, Patrick
Format:	Preprint
Published:	2025
Subjects:	Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

A Novel Reservoir Computing Framework for Chaotic Time Series Prediction Using Time Delay Embedding and Random Fourier Features
by: Laha, S. K.
Published: (2025)

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics
by: Martinuzzi, Francesco
Published: (2025)

Scaling Law for Large-Scale Pre-Training Using Chaotic Time Series and Predictability in Financial Time Series
by: Takemoto, Yuki
Published: (2025)

ResCP: Reservoir Conformal Prediction for Time Series Forecasting
by: Neglia, Roberto, et al.
Published: (2025)

Scalable Memristive-Friendly Reservoir Computing for Time Series Classification
by: Horuz, Coşku Can, et al.
Published: (2026)

Guaranteed Multidimensional Time Series Prediction via Deterministic Tensor Completion Theory
by: Shu, Hao, et al.
Published: (2025)

Controlling Chaotic Maps using Next-Generation Reservoir Computing
by: Kent, Robert M., et al.
Published: (2023)

Prediction of Unobserved Bifurcation by Unsupervised Extraction of Slowly Time-Varying System Parameter Dynamics from Time Series Using Reservoir Computing
by: Tokuda, Keita, et al.
Published: (2024)

Enhancing Time-Series Anomaly Detection by Integrating Spectral-Residual Bottom-Up Attention with Reservoir Computing
by: Nihei, Hayato, et al.
Published: (2025)

Multivariate Time Series Forecasting with Gate-Based Quantum Reservoir Computing on NISQ Hardware
by: Hamhoum, Wissal, et al.
Published: (2025)

Reservoir Computing with a Single Oscillating Gas Bubble: Emphasizing the Chaotic Regime
by: Abdel-Ghani, Hend, et al.
Published: (2025)

OpenReservoirComputing: GPU-Accelerated Reservoir Computing in JAX
by: Williams, Jan, et al.
Published: (2026)

A novel Reservoir Architecture for Periodic Time Series Prediction
by: Yuan, Zhongju, et al.
Published: (2024)

Time Shifts to Reduce the Size of Reservoir Computers
by: Carroll, Thomas L., et al.
Published: (2022)

CBM-Dual: A 65-nm Fully Connected Chaotic Boltzmann Machine Processor for Dual Function Simulated Annealing and Reservoir Computing
by: Yoshioka, Kanta, et al.
Published: (2026)

Hardware-Friendly Delayed-Feedback Reservoir for Multivariate Time-Series Classification
by: Ikeda, Sosei, et al.
Published: (2025)

QuaRK: A Quantum Reservoir Kernel for Time Series Learning
by: Aaraba, Abdallah, et al.
Published: (2026)

Ultra-Early Prediction of Tipping Points: Integrating Dynamical Measures with Reservoir Computing
by: Li, Xin, et al.
Published: (2026)

Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series
by: Panja, Madhurima, et al.
Published: (2026)

Discovering Leitmotifs in Multidimensional Time Series
by: Schäfer, Patrick, et al.
Published: (2024)

A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
by: Li, Xuyang, et al.
Published: (2025)

Federated Learning with Reservoir State Analysis for Time Series Anomaly Detection
by: Nogami, Keigo, et al.
Published: (2025)

Reservoir Computing Generalized
by: Kubota, Tomoyuki, et al.
Published: (2024)

Efficient Test-Time Inference via Deterministic Exploration of Truncated Decoding Trees
by: Li, Xueyan, et al.
Published: (2026)

New Reservoir Computing Kernel Based on Chaotic Chua Circuit and Investigating Application to Post-Quantum Cryptography
by: Cossins, Matthew John, et al.
Published: (2024)

Frozen in Time: Parameter-Efficient Time Series Transformers via Reservoir-Induced Feature Expansion and Fixed Random Dynamics
by: Singh, Pradeep, et al.
Published: (2025)

Multi-Model Ensemble and Reservoir Computing for River Discharge Prediction in Ungauged Basins
by: Funato, Mizuki, et al.
Published: (2025)

Privacy Preserving Federated Learning with Convolutional Variational Bottlenecks
by: Scheliga, Daniel, et al.
Published: (2023)

Combining Stochastic Defenses to Resist Gradient Inversion: An Ablation Study
by: Scheliga, Daniel, et al.
Published: (2022)

Machine Learning for Predicting Chaotic Systems
by: Schötz, Christof, et al.
Published: (2024)

Fixed-Reservoir vs Variational Quantum Architectures for Chaotic Dynamics: Benchmarking QRC and QPINN on the Lorenz System
by: Pandey, Tushar
Published: (2026)

Transformer Conformal Prediction for Time Series
by: Lee, Junghwan, et al.
Published: (2024)

Attention-Enhanced Reservoir Computing
by: Köster, Felix, et al.
Published: (2023)

Dynamics-Informed Reservoir Computing with Visibility Graphs
by: Geier, Charlotte, et al.
Published: (2025)

Techniques for Enhancing Memory Capacity of Reservoir Computing
by: Yokota, Atsuki, et al.
Published: (2025)

Next-Generation Reservoir Computing for Dynamical Inference
by: Cestnik, Rok, et al.
Published: (2025)

Robust and Efficient Quantum Reservoir Computing with Discrete Time Crystal
by: Zhang, Da, et al.
Published: (2025)

Time Series Compression using Quaternion Valued Neural Networks and Quaternion Backpropagation
by: Pöppelbaum, Johannes, et al.
Published: (2024)

Time-Series Forecasting and Sequence Learning Using Memristor-based Reservoir System
by: Zyarah, Abdullah M., 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
language	"en"
VUFIND_SESSION	"9e1f8060596e11b3f7dbd2211e2cdabb"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790850984.8144 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "9e1f8060596e11b3f7dbd2211e2cdabb" ]`]
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=9e1f8060596e11b3f7dbd2211e2cdabb; 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	"45978"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_15615/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_15615/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790850984.8101
REQUEST_TIME	1790850984

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	"9e1f8060596e11b3f7dbd2211e2cdabb"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790850984.8144 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "9e1f8060596e11b3f7dbd2211e2cdabb" ]`]
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=9e1f8060596e11b3f7dbd2211e2cdabb; 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	"45978"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_15615/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_15615/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790850984.8101
REQUEST_TIME	1790850984

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: