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We are concerned with the computation of the mean-time-to-absorption (MTTA) for a large system of loosely interconnected components, modeled as continuous time Markov chains. In particular, we show that splitting the local and…

Numerical Analysis · Mathematics 2019-07-05 Leonardo Robol , Giulio Masetti

Test time adaptation (TTA) equips deep learning models to handle unseen test data that deviates from the training distribution, even when source data is inaccessible. While traditional TTA methods often rely on entropy as a confidence…

Machine Learning · Computer Science 2024-09-17 Afshar Shamsi , Rejisa Becirovic , Ahmadreza Argha , Ehsan Abbasnejad , Hamid Alinejad-Rokny , Arash Mohammadi

We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

Quantitative Methods · Quantitative Biology 2019-01-30 Ignacio Echegoyen , Victor Vera-Ávila , Ricardo Sevilla-Escoboza , Johann H. Martínez , Javier M. Buldú

Utilizing the complex inter-variable causal relationships within multivariate time-series provides a promising avenue toward more robust and reliable multivariate time-series anomaly detection (MTSAD) but remains an underexplored area of…

Machine Learning · Computer Science 2025-06-05 HyunGi Kim , Jisoo Mok , Dongjun Lee , Jaihyun Lew , Sungjae Kim , Sungroh Yoon

Time series imputation is one of the most challenge problems and has broad applications in various fields like health care and the Internet of Things. Existing methods mainly aim to model the temporally latent dependencies and the…

Machine Learning · Computer Science 2025-05-13 Ruichu Cai , Kaitao Zheng , Junxian Huang , Zijian Li , Zhengming Chen , Boyan Xu , Zhifeng Hao

The previous decade has brought a remarkable increase of the interest in applications that deal with querying and mining of time series data. Many of the research efforts in this context have focused on introducing new representation…

Artificial Intelligence · Computer Science 2015-03-17 Xiaoyue Wang , Hui Ding , Goce Trajcevski , Peter Scheuermann , Eamonn Keogh

Multimodal time series (MTS) anomaly detection is crucial for maintaining the safety and stability of working devices (e.g., water treatment system and spacecraft), whose data are characterized by multivariate time series with diverse…

Machine Learning · Computer Science 2023-10-18 Chaoyue Ding , Shiliang Sun , Jing Zhao

Multivariate Time series forecasting is crucial in domains such as transportation, meteorology, and finance, especially for predicting extreme weather events. State-of-the-art methods predominantly rely on Transformer architectures, which…

Machine Learning · Computer Science 2024-10-16 Li Wu , Wenbin Pei , Jiulong Jiao , Qiang Zhang

Conventional time series classification approaches based on bags of patterns or shapelets face significant challenges in dealing with a vast amount of feature candidates from high-dimensional multivariate data. In contrast, deep neural…

Machine Learning · Computer Science 2023-06-07 Raneen Younis , Abdul Hakmeh , Zahra Ahmadi

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

The growing need for synthetic time series, due to data augmentation or privacy regulations, has led to numerous generative models, frameworks, and evaluation measures alike. Objectively comparing these measures on a large scale remains an…

Machine Learning · Computer Science 2025-05-28 Michael Stenger , Robert Leppich , André Bauer , Samuel Kounev

Detecting anomalies in multivariate time series(MTS) data plays an important role in many domains. The abnormal values could indicate events, medical abnormalities,cyber-attacks, or faulty devices which if left undetected could lead to…

Machine Learning · Computer Science 2023-01-31 Usman Anjum , Samuel Lin , Justin Zhan

Recent state-of-the-art forecasting methods are trained on collections of time series. These methods, often referred to as global models, can capture common patterns in different time series to improve their generalization performance.…

Machine Learning · Computer Science 2024-04-30 Vitor Cerqueira , Nuno Moniz , Ricardo Inácio , Carlos Soares

Multivariate time series (MTS) anomaly detection commonly encounters in various domains like finance, healthcare, and industrial monitoring. However, existing MTS anomaly detection methods are mostly defined on the static graph structure,…

Machine Learning · Computer Science 2025-09-23 Jia Li , Shiyu Long , Ye Yuan

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

Machine Learning · Computer Science 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis

While deep learning models have achieved remarkable success in time series forecasting, their vulnerability to adversarial examples remains a critical security concern. However, existing attack methods in the forecasting field typically…

Machine Learning · Computer Science 2026-02-13 Ruixian Su , Yukun Bao , Xinze Zhang

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

Machine Learning · Computer Science 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

Data summarization is the process of generating interpretable and representative subsets from a dataset. Existing time series summarization approaches often search for recurring subsequences using a set of manually devised similarity…

Machine Learning · Computer Science 2023-08-29 Alireza Ghods , Trong Nghia Hoang , Diane Cook

Test-time scaling has become an effective paradigm for improving the reasoning ability of large language models by allocating additional computation during inference. Recent structured approaches have further advanced this paradigm by…

Artificial Intelligence · Computer Science 2026-05-20 George Wu , Nan Jing , Qing Yi , Chuan Hao , Ming Yang , Feng Chang , Yuan Wei , Jian Yang , Ran Tao , Bryan Dai

Modern enterprises generate vast streams of time series metrics when monitoring complex systems, known as observability data. Unlike conventional time series from domains such as climate, observability data are zero-inflated, highly…