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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

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

Machine Learning · Statistics 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

Recently, time series classification has attracted the attention of a large number of researchers, and hundreds of methods have been proposed. However, these methods often ignore the spatial correlations among dimensions and the local…

Machine Learning · Computer Science 2024-11-28 Mingsen Du , Yanxuan Wei , Xiangwei Zheng , Cun Ji

In this paper we present two related, kernel-based Distance Metric Learning (DML) methods. Their respective models non-linearly map data from their original space to an output space, and subsequent distance measurements are performed in the…

Machine Learning · Computer Science 2014-04-30 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

This paper introduces a learning scheme to construct a Hilbert space (i.e., a vector space along its inner product) to address both unsupervised and semi-supervised domain adaptation problems. This is achieved by learning projections from…

Computer Vision and Pattern Recognition · Computer Science 2017-04-18 Samitha Herath , Mehrtash Harandi , Fatih Porikli

Dynamic Time Warping (DTW) is an algorithm to align temporal sequences with possible local non-linear distortions, and has been widely applied to audio, video and graphics data alignments. DTW is essentially a point-to-point matching method…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Jiaping Zhao , Laurent Itti

We propose a low-rank approach to learning a Mahalanobis metric from data. Inspired by the recent geometric mean metric learning (GMML) algorithm, we propose a low-rank variant of the algorithm. This allows to jointly learn a…

Machine Learning · Computer Science 2018-06-15 Mukul Bhutani , Pratik Jawanpuria , Hiroyuki Kasai , Bamdev Mishra

Metric learning algorithms aim to learn a distance function that brings the semantically similar data items together and keeps dissimilar ones at a distance. The traditional Mahalanobis distance learning is equivalent to find a linear…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Karrar Al-Kaabi , Reza Monsefi , Davood Zabihzadeh

K-nearest neighbors algorithm is one of the prominent techniques used in classification and regression. Despite its simplicity, the k-nearest neighbors has been successfully applied in time series forecasting. However, the selection of the…

Methodology · Statistics 2021-03-29 Samya Tajmouati , Bouazza El Wahbi , Adel Bedoui , Abdallah Abarda , Mohamed Dakkoun

Time series classification is an important data mining task that has received a lot of interest in the past two decades. Due to the label scarcity in practice, semi-supervised time series classification with only a few labeled samples has…

Machine Learning · Computer Science 2023-09-08 Wenjie Xi , Arnav Jain , Li Zhang , Jessica Lin

Modern applications frequently collect and analyze temporal data in the form of multivariate time series (MTS) -- time series that contain multiple channels. A common task in this context is subsequence search, which involves identifying…

Databases · Computer Science 2025-12-18 Jens E. d'Hondt , Teun Kortekaas , Odysseas Papapetrou , Themis Palpanas

Statistical distance measures have found wide applicability in information retrieval tasks that typically involve high dimensional datasets. In order to reduce the storage space and ensure efficient performance of queries, dimensionality…

Computational Geometry · Computer Science 2010-03-09 Arnab Bhattacharya , Purushottam Kar , Manjish Pal

DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are…

Machine Learning · Computer Science 2019-03-25 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Over the last decade, time series motif discovery has emerged as a useful primitive for many downstream analytical tasks, including clustering, classification, rule discovery, segmentation, and summarization. In parallel, there has been an…

Machine Learning · Computer Science 2020-09-18 Sara Alaee , Kaveh Kamgar , Eamonn Keogh

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

Machine Learning · Computer Science 2019-10-22 Yinan Yu , Tomas McKelvey

This paper proposes a boosting-based solution addressing metric learning problems for high-dimensional data. Distance measures have been used as natural measures of (dis)similarity and served as the foundation of various learning methods.…

Machine Learning · Statistics 2015-12-11 Yuting Ma , Tian Zheng

Motivated by establishing theoretical foundations for various manifold learning algorithms, we study the problem of Mahalanobis distance (MD), and the associated precision matrix, estimation from high-dimensional noisy data. By relying on…

Statistics Theory · Mathematics 2021-09-13 Matan Gavish , Ronen Talmon , Pei-Chun Su , Hau-Tieng Wu

This paper addresses learning end-to-end models for time series data that include a temporal alignment step via dynamic time warping (DTW). Existing approaches to differentiable DTW either differentiate through a fixed warping path or apply…

Machine Learning · Computer Science 2023-03-21 Ming Xu , Sourav Garg , Michael Milford , Stephen Gould

Multivariate time series classification is a task with increasing importance due to the proliferation of new problems in various fields (economy, health, energy, transport, crops, etc.) where a large number of information sources are…

Machine Learning · Computer Science 2020-09-09 Francisco J. Baldán , José M. Benítez

Within many real-world networks the links between pairs of nodes change over time. Thus, there has been a recent boom in studying temporal graphs. Recognizing patterns in temporal graphs requires a proximity measure to compare different…

Machine Learning · Computer Science 2020-07-07 Vincent Froese , Brijnesh Jain , Rolf Niedermeier , Malte Renken