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Anomaly detection in time series is essential for industrial monitoring and environmental sensing, yet distinguishing anomalies from complex patterns remains challenging. Existing methods like the Anomaly Transformer and DCdetector have…

Machine Learning · Computer Science 2025-05-20 Abdellah Zakaria Sellam , Ilyes Benaissa , Abdelmalik Taleb-Ahmed , Luigi Patrono , Cosimo Distante

This paper introduces a novel spatiotemporal feature representation model designed to address the limitations of traditional methods in multidimensional time series (MTS) analysis. The proposed approach converts MTS into one-dimensional…

Machine Learning · Computer Science 2024-10-10 Xu Yan , Yaoting Jiang , Wenyi Liu , Didi Yi , Jianjun Wei

Irregular Multivariate Time Series (IMTS) are characterized by uneven intervals between consecutive timestamps, which carry sampling pattern information valuable and informative for learning temporal and variable dependencies. In addition,…

Machine Learning · Computer Science 2026-02-26 Boyuan Li , Zhen Liu , Yicheng Luo , Qianli Ma

Time delay estimation arises in many applications in which a multipath medium has to be identified from pulses transmitted through the channel. Various approaches have been proposed in the literature to identify time delays introduced by…

Information Theory · Computer Science 2011-01-05 Kfir Gedalyahu , Yonina C. Eldar

Sparse signals are encountered in a broad range of applications. In order to process these signals using digital hardware, they must be first sampled and quantized using an analog-to-digital convertor (ADC), which typically operates in a…

Information Theory · Computer Science 2020-11-24 Alejandro Cohen , Nir Shlezinger , Salman Salamatian , Yonina C. Eldar , Muriel Médard

We consider the problem of sequentially testing for changes in the mean parameter of a time series, compared to a benchmark period. Most tests in the literature focus on the null hypothesis of a constant mean versus the alternative of a…

Methodology · Statistics 2025-09-23 Patrick Bastian , Tim Kutta , Rupsa Basu , Holger Dette

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

Multivariate Time Series Classification (MTSC) is crucial in extensive practical applications, such as environmental monitoring, medical EEG analysis, and action recognition. Real-world time series datasets typically exhibit complex…

Machine Learning · Computer Science 2025-03-10 Yang Mu , Muhammad Shahzad , Xiao Xiang Zhu

Time series models are ubiquitous in science, arising in any situation where researchers seek to understand how a system's behaviour changes over time. A key problem in time series modelling is \emph{inference}; determining properties of…

Mathematical Software · Computer Science 2020-01-13 Michael Clerx , Martin Robinson , Ben Lambert , Chon Lok Lei , Sanmitra Ghosh , Gary R. Mirams , David J. Gavaghan

Extracting reliable indicators of chaos from a single experimental time series is a challenging task, in particular, for systems with many degrees of freedom. The techniques available for this purpose often require unachievably long time…

Statistical Mechanics · Physics 2015-05-28 Tarek A. Elsayed , Benjamin Hess , Boris V. Fine

Overset meshes are an effective tool for the computational fluid dynamic simulation of problems with complex geometries or multiscale spatio-temporal features. When the maximum allowable timestep on one or more meshes is significantly…

Numerical Analysis · Mathematics 2019-07-12 Cory Mikida , Andreas Klöckner , Daniel Bodony

Multivariate time series (MTS) arise when multiple interconnected sensors record data over time. Dealing with this high-dimensional data is challenging for every classifier for at least two aspects: First, an MTS is not only characterized…

Machine Learning · Computer Science 2018-08-20 Patrick Schäfer , Ulf Leser

As CPU clock speeds have stagnated and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architectures. Traditional serial time-marching schemes can be a…

Numerical Analysis · Mathematics 2022-08-29 David A. Vargas , Robert D. Falgout , Stefanie Günther , Jacob B. Schroder

We present a unified experiment, analysis, and benchmark study of multivariate time-series (MTS) anomaly detection. Ten family-representative detectors -- spanning statistical, reconstruction, association, frequency, and generic-transformer…

Machine Learning · Computer Science 2026-05-28 Junhao Wei , Yanxiao Li , Bidong Chen , Yifu Zhao , Haochen Li , Dexing Yao , Baili Lu , Xudong Ye , Jietian Feng , Sio-Kei Im , Yapeng Wang , Xu Yang

This paper proposes a parallel-in-time method for computing continuous-time maximum-a-posteriori (MAP) trajectory estimates of the states of partially observed stochastic differential equations (SDEs), with the goal of improving…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Hassan Razavi , Ángel F. García-Fernández , Simo Särkkä

We present MANTRA, a framework for approximating the temporal betweenness centrality of all nodes in a temporal graph. Our method can compute probabilistically guaranteed high-quality temporal betweenness estimates (of nodes and temporal…

Data Structures and Algorithms · Computer Science 2024-04-09 Antonio Cruciani

Comparing time series is essential in various tasks such as clustering and classification. While elastic distance measures that allow warping provide a robust quantitative comparison, a qualitative comparison on top of them is missing.…

Machine Learning · Computer Science 2025-06-19 Simiao Lin , Wannes Meert , Pieter Robberechts , Hendrik Blockeel

The delivery and assessment of quality health care is complex with many interacting and interdependent components. In terms of research design and statistical analysis, this complexity and interdependency makes it difficult to assess the…

Methodology · Statistics 2018-12-03 Maricela Cruz , Daniel L. Gillen , Miriam Bender , Hernando Ombao

In this article, we introduce the mean independent component analysis for multivariate time series to reduce the parameter space. In particular, we seek for a contemporaneous linear transformation that detects univariate mean independent…

Methodology · Statistics 2025-04-18 Chung Eun Lee , Zeda Li

Bayesian inference using Markov Chain Monte Carlo (MCMC) on large datasets has developed rapidly in recent years. However, the underlying methods are generally limited to relatively simple settings where the data have specific forms of…

Methodology · Statistics 2020-02-18 Robert Salomone , Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran
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