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Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

Social and Information Networks · Computer Science 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Time series are all around in real-world applications. However, unexpected accidents for example broken sensors or missing of the signals will cause missing values in time series, making the data hard to be utilized. It then does harm to…

Machine Learning · Computer Science 2020-11-24 Chenguang Fang , Chen Wang

We use standard deep neural networks to classify univariate time series generated by discrete and continuous dynamical systems based on their chaotic or non-chaotic behaviour. Our approach to circumvent the lack of precise models for some…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Nicolas Boullé , Vassilios Dallas , Yuji Nakatsukasa , D. Samaddar

In this paper, we consider the problem of event classification with multi-variate time series data consisting of heterogeneous (continuous and categorical) variables. The complex temporal dependencies between the variables combined with…

Machine Learning · Computer Science 2016-12-06 Shengdong Zhang , Soheil Bahrampour , Naveen Ramakrishnan , Mohak Shah

Multivariate time series classification is an important computational task arising in applications where data is recorded over time and over multiple channels. For example, a smartwatch can record the acceleration and orientation of a…

Machine Learning · Computer Science 2023-09-08 Davide Italo Serramazza , Thu Trang Nguyen , Thach Le Nguyen , Georgiana Ifrim

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

This paper proposes a framework dedicated to the construction of what we call discrete elastic inner product allowing one to embed sets of non-uniformly sampled multivariate time series or sequences of varying lengths into inner product…

Machine Learning · Computer Science 2012-06-28 Pierre-François Marteau , Nicolas Bonnel , Gilbas Ménier

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Although deep networks have been widely adopted, one of their shortcomings has been their blackbox nature. One particularly difficult problem in machine learning is multivariate time series (MVTS) classification. MVTS data arise in many…

Machine Learning · Computer Science 2020-08-04 Naveen Madiraju , Homa Karimabadi

Multivariate time series naturally exist in many fields, like energy, bioinformatics, signal processing, and finance. Most of these applications need to be able to compare these structured data. In this context, dynamic time warping (DTW)…

Machine Learning · Computer Science 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

In many real-world application, e.g., speech recognition or sleep stage classification, data are captured over the course of time, constituting a Time-Series. Time-Series often contain temporal dependencies that cause two otherwise…

Machine Learning · Computer Science 2017-01-10 John Cristian Borges Gamboa

We propose a three-stage framework for forecasting high-dimensional time-series data. Our method first estimates parameters for each univariate time series. Next, we use these parameters to cluster the time series. These clusters can be…

Machine Learning · Computer Science 2021-10-28 Reese Pathak , Rajat Sen , Nikhil Rao , N. Benjamin Erichson , Michael I. Jordan , Inderjit S. Dhillon

Early classification of time series has been extensively studied for minimizing class prediction delay in time-sensitive applications such as healthcare and finance. A primary task of an early classification approach is to classify an…

Machine Learning · Computer Science 2020-10-19 Ashish Gupta , Hari Prabhat Gupta , Bhaskar Biswas , Tanima Dutta

Sequentially obtained dataset usually exhibits different behavior at different data resolutions/scales. Instead of inferring from data at each scale individually, it is often more informative to interpret the data as an ensemble of time…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Yuan Yang , Jie Ding

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

Time series analysis has witnessed the inspiring development from traditional autoregressive models, deep learning models, to recent Transformers and Large Language Models (LLMs). Efforts in leveraging vision models for time series analysis…

Machine Learning · Computer Science 2025-09-03 Jingchao Ni , Ziming Zhao , ChengAo Shen , Hanghang Tong , Dongjin Song , Wei Cheng , Dongsheng Luo , Haifeng Chen

This paper is a contribution towards interpretability of the deep learning models in different applications of time-series. We propose a temporal attention layer that is capable of selecting the relevant information to perform various…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Phongtharin Vinayavekhin , Subhajit Chaudhury , Asim Munawar , Don Joven Agravante , Giovanni De Magistris , Daiki Kimura , Ryuki Tachibana

This work considers the problem of calculating an interval-valued state estimate for a nonlinear system subject to bounded inputs and measurement errors. Such state estimators are often called interval observers. Interval observers can be…

Optimization and Control · Mathematics 2021-10-25 Stuart M. Harwood , Paul I. Barton