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Time series data can be found in almost every domain, ranging from the medical field to manufacturing and wireless communication. Generating realistic and useful exemplars and prototypes is a fundamental data analysis task. In this paper,…

This paper presents an efficient approach for subsequence search in data streams. The problem consists in identifying coherent repetitions of a given reference time-series, eventually multi-variate, within a longer data stream. Dynamic Time…

Machine Learning · Computer Science 2019-07-17 Antonio Candelieri , Stanislav Fedorov , Enza Messina

Despite the rapid progress on research in adversarial robustness of deep neural networks (DNNs), there is little principled work for the time-series domain. Since time-series data arises in diverse applications including mobile health,…

Machine Learning · Computer Science 2023-05-10 Taha Belkhouja , Yan Yan , Janardhan Rao Doppa

Organizing data into semantically more meaningful is one of the fundamental modes of understanding and learning. Cluster analysis is a formal study of methods for understanding and algorithm for learning. K-mean clustering algorithm is one…

Machine Learning · Computer Science 2013-01-03 Doreswamy , K. S. Hemanth

Soft dynamic time warping (SDTW) is a differentiable loss function that allows for training neural networks from weakly aligned data. Typically, SDTW is used to iteratively compute and refine soft alignments that compensate for temporal…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-11 Johannes Zeitler , Simon Deniffel , Michael Krause , Meinard Müller

Dynamic time warping ($\texttt{DTW}$) is one of the most used distance functions to compare time series, e.$\,$g. in nearest neighbor classifiers. Yet, fast state of the art algorithms only compare 1-dimensional time series efficiently. One…

Data Structures and Algorithms · Computer Science 2018-11-28 Jörg P. Bachmann , Johann-Christoph Freytag

In this paper, we propose a new time-aware dissimilarity measure that takes into account the temporal dimension. Observations that are close in the description space, but distant in time are considered as dissimilar. We also propose a…

Machine Learning · Computer Science 2016-01-13 Marian-Andrei Rizoiu , Julien Velcin , Stéphane Lallich

Time series similarity measures are highly relevant in a wide range of emerging applications including training machine learning models, classification, and predictive modeling. Standard similarity measures for time series most often…

Machine Learning · Computer Science 2021-01-22 Lucas Cassiel Jacaruso

The dynamic time warping (DTW) is a widely-used method that allows us to efficiently compare two time series that can vary in speed. Given two strings $A$ and $B$ of respective lengths $m$ and $n$, there is a fundamental dynamic programming…

Data Structures and Algorithms · Computer Science 2020-07-30 Akihiro Nishi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Recent work has proposed Wasserstein k-means (Wk-means) clustering as a powerful method to classify regimes in time series data, and one-dimensional asset returns in particular. In this paper, we begin by studying in detail the behaviour of…

Computational Finance · Quantitative Finance 2026-05-26 Qinmeng Luan , James Hamp

Clustering is one of the most fundamental problems in unsupervised learning with a large number of applications. However, classical clustering algorithms assume that the data is static, thus failing to capture many real-world applications…

Data Structures and Algorithms · Computer Science 2020-02-11 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski , Christian Schulz , Alexander Svozil

Clustering is a separation of data into groups of similar objects. Every group called cluster consists of objects that are similar to one another and dissimilar to objects of other groups. In this paper, the K-Means algorithm is implemented…

Machine Learning · Computer Science 2013-04-03 P. Ashok , G. M Kadhar Nawaz , E. Elayaraja , V. Vadivel

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

Machine Learning · Computer Science 2025-11-25 Naitik Gada

Subsequence clustering of multivariate time series is a useful tool for discovering repeated patterns in temporal data. Once these patterns have been discovered, seemingly complicated datasets can be interpreted as a temporal sequence of…

Machine Learning · Computer Science 2018-05-16 David Hallac , Sagar Vare , Stephen Boyd , Jure Leskovec

We offer to apply the powerful Dynamic Time Warping (DTW) algorithm to find the spreading rate variation by comparing profiles of marine magnetic anomalies with the synthetic field constructed by the magnetic polarity reference scale. For…

Geophysics · Physics 2017-12-12 S. A. Ivanov , S. A. Merkuriev

1-Nearest Neighbor with the Dynamic Time Warping (DTW) distance is one of the most effective classifiers on time series domain. Since the global constraint has been introduced in speech community, many global constraint models have been…

Artificial Intelligence · Computer Science 2009-03-03 Vit Niennattrakul , Chotirat Ann Ratanamahatana

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

The data mining technique of time series clustering is well established in many fields. However, as an unsupervised learning method, it requires making choices that are nontrivially influenced by the nature of the data involved. The aim of…

Econometrics · Economics 2018-07-19 Iwo Augustyński , Paweł Laskoś-Grabowski

In recent years, neural networks achieved much success in various applications. The main challenge in training deep neural networks is the lack of sufficient data to improve the model's generalization and avoid overfitting. One of the…

Machine Learning · Computer Science 2021-08-24 Mohammad Akyash , Hoda Mohammadzade , Hamid Behroozi

This paper deals with clustering methods based on adaptive distances for histogram data using a dynamic clustering algorithm. Histogram data describes individuals in terms of empirical distributions. These kind of data can be considered as…

Statistics Theory · Mathematics 2016-05-03 Antonio Irpino , Rosanna Verde , Francisco de AT De Carvalho
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