Random Projections and Natural Sparsity in Time-Series Classification: A Theoretical Analysis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Marco-Blanco, Jorge, Cuevas, Rubén
Format:	Preprint
Published:	2025
Subjects:	Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Adaptive Sparsity Level during Training for Efficient Time Series Forecasting with Transformers
by: Atashgahi, Zahra, et al.
Published: (2023)

Online Time Series Forecasting with Theoretical Guarantees
by: Li, Zijian, et al.
Published: (2025)

Large Scale Hierarchical Industrial Demand Time-Series Forecasting incorporating Sparsity
by: Kamarthi, Harshavardhan, et al.
Published: (2024)

Leveraging Sparsity for Sample-Efficient Preference Learning: A Theoretical Perspective
by: Yao, Yunzhen, et al.
Published: (2025)

ARTA: Adversarial-Robust Multivariate Time--Series Anomaly Detection via Sparsity-Constrained Perturbations
by: Hojjati, Hadi, et al.
Published: (2026)

On Multivariate Financial Time Series Classification
by: Bournassenko, Grégory
Published: (2025)

The Multiverse of Time Series Machine Learning: an Archive for Multivariate Time Series Classification
by: Middlehurst, Matthew, et al.
Published: (2026)

RPMixer: Shaking Up Time Series Forecasting with Random Projections for Large Spatial-Temporal Data
by: Yeh, Chin-Chia Michael, et al.
Published: (2024)

Early Classification of Time Series: A Survey and Benchmark
by: Renault, Aurélien, et al.
Published: (2024)

TriShGAN: Enhancing Sparsity and Robustness in Multivariate Time Series Counterfactuals Explanation
by: Ma, Hongnan, et al.
Published: (2025)

Insight Miner: A Time Series Analysis Dataset for Cross-Domain Alignment with Natural Language
by: Zhang, Yunkai, et al.
Published: (2025)

EuroCropsML: A Time Series Benchmark Dataset For Few-Shot Crop Type Classification
by: Reuss, Joana, et al.
Published: (2024)

Adaptive Classification of Interval-Valued Time Series
by: Tian, Wan, et al.
Published: (2025)

Robust Explainer Recommendation for Time Series Classification
by: Nguyen, Thu Trang, et al.
Published: (2023)

Revisit Time Series Classification Benchmark: The Impact of Temporal Information for Classification
by: Zhang, Yunrui, et al.
Published: (2025)

Temporal Streaming Batch Principal Component Analysis for Time Series Classification
by: Yan, Enshuo, et al.
Published: (2024)

A Regime-Aware Fusion Framework for Time Series Classification
by: Chauhan, Honey Singh, et al.
Published: (2025)

Time Series Embedding Methods for Classification Tasks: A Review
by: Irani, Habib, et al.
Published: (2025)

A Dictionary-based approach to Time Series Ordinal Classification
by: Ayllón-Gavilán, Rafael, et al.
Published: (2023)

Kolmogorov-Arnold Networks (KANs) for Time Series Analysis
by: Vaca-Rubio, Cristian J., et al.
Published: (2024)

AimTS: Augmented Series and Image Contrastive Learning for Time Series Classification
by: Chen, Yuxuan, et al.
Published: (2025)

Correlation Analysis of Adversarial Attack in Time Series Classification
by: Li, Zhengyang, et al.
Published: (2024)

Neural Predictive Control to Coordinate Discrete- and Continuous-Time Models for Time-Series Analysis with Control-Theoretical Improvements
by: Li, Haoran, et al.
Published: (2025)

POCKET: Pruning Random Convolution Kernels for Time Series Classification from a Feature Selection Perspective
by: Chen, Shaowu, et al.
Published: (2023)

Multi-Modal Traffic Analysis: Integrating Time-Series Forecasting, Accident Prediction, and Image Classification
by: M, Nivedita, et al.
Published: (2025)

TimeSliver : Symbolic-Linear Decomposition for Explainable Time Series Classification
by: Pandey, Akash, et al.
Published: (2026)

Advancing Time Series Classification with Multimodal Language Modeling
by: Cheng, Mingyue, et al.
Published: (2024)

Time-Series Classification with Multivariate Statistical Dependence Features
by: Sun, Yao, et al.
Published: (2026)

Hierarchical Classification Auxiliary Network for Time Series Forecasting
by: Sun, Yanru, et al.
Published: (2024)

Look Into the LITE in Deep Learning for Time Series Classification
by: Ismail-Fawaz, Ali, et al.
Published: (2024)

Graph-Aware Contrasting for Multivariate Time-Series Classification
by: Wang, Yucheng, et al.
Published: (2023)

Univariate Channel Fusion for Multivariate Time Series Classification
by: Moro, Fernando, et al.
Published: (2026)

Rank Supervised Contrastive Learning for Time Series Classification
by: Ren, Qianying, et al.
Published: (2024)

Determining Layer-wise Sparsity for Large Language Models Through a Theoretical Perspective
by: Huang, Weizhong, et al.
Published: (2025)

Sparse Mixture-of-Experts for Compositional Generalization: Empirical Evidence and Theoretical Foundations of Optimal Sparsity
by: Zhao, Jinze, et al.
Published: (2024)

TimeSeriesScientist: A General-Purpose AI Agent for Time Series Analysis
by: Zhao, Haokun, et al.
Published: (2025)

TOTEM: TOkenized Time Series EMbeddings for General Time Series Analysis
by: Talukder, Sabera, et al.
Published: (2024)

A Unified Shape-Aware Foundation Model for Time Series Classification
by: Liu, Zhen, et al.
Published: (2026)

COSCO: A Sharpness-Aware Training Framework for Few-shot Multivariate Time Series Classification
by: Barreda, Jesus, 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
ui	"standard"
VUFIND_SESSION	"b7e8b9addcb305bed95cae888fd4898f"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790888889.2169 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b7e8b9addcb305bed95cae888fd4898f" ]`]
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=b7e8b9addcb305bed95cae888fd4898f; language=en"
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	"63639"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2502_17061/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2502_17061/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790888889.2125
REQUEST_TIME	1790888889

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"b7e8b9addcb305bed95cae888fd4898f"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790888889.2169 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b7e8b9addcb305bed95cae888fd4898f" ]`]
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=b7e8b9addcb305bed95cae888fd4898f; language=en"
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	"63639"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2502_17061/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2502_17061/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790888889.2125
REQUEST_TIME	1790888889

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: