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This work is devoted to a comprehensive analysis of topological data analysis fortime series classification. Previous works have significant shortcomings, such aslack of large-scale benchmarking or missing state-of-the-art methods. In this…

Machine Learning · Computer Science 2020-10-13 Polina Pilyugina , Rodrigo Rivera-Castro , Eugeny Burnaev

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

Additive Manufacturing presents a great application area for Machine Learning because of the vast volume of data generated and the potential to mine this data to control outcomes. In this paper we present preliminary work on classifying…

Machine Learning · Computer Science 2020-10-05 Vivek Mahato , Muhannad Ahmed Obeidi , Dermot Brabazon , Padraig Cunningham

Time warping function provides a mathematical representation to measure phase variability in functional data. Recent studies have developed various approaches to estimate optimal warping between functions and provide non-Euclidean models.…

Methodology · Statistics 2022-04-15 Yijia Ma , Xinyu Zhou , Wei Wu

Dynamic Linear Models (DLMs) are commonly employed for time series analysis due to their versatile structure, simple recursive updating, ability to handle missing data, and probabilistic forecasting. However, the options for count time…

Methodology · Statistics 2023-06-30 Brian King , Daniel R. Kowal

Multivariate time series are ubiquitous objects in signal processing. Measuring a distance or similarity between two such objects is of prime interest in a variety of applications, including machine learning, but can be very difficult as…

Machine Learning · Statistics 2022-11-02 Titouan Vayer , Romain Tavenard , Laetitia Chapel , Nicolas Courty , Rémi Flamary , Yann Soullard

Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), are classical methods for distinguishing time series when…

Deep learning (DL) approaches are being increasingly used for time-series forecasting, with many efforts devoted to designing complex DL models. Recent studies have shown that the DL success is often attributed to effective data…

Human-Computer Interaction · Computer Science 2023-07-28 Jianing Hao , Qing Shi , Yilin Ye , Wei Zeng

Shapelet-based algorithms are widely used for time series classification because of their ease of interpretation, but they are currently outperformed by recent state-of-the-art approaches. We present a new formulation of time series…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Antoine Guillaume , Christel Vrain , Elloumi Wael

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

This paper argues that a class of Riemannian metrics, called warped metrics, plays a fundamental role in statistical problems involving location-scale models. The paper reports three new results : i) the Rao-Fisher metric of any…

Statistics Theory · Mathematics 2017-02-24 Salem Said , Yannick Berthoumieu

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

Irregularly sampled time series forecasting, characterized by non-uniform intervals, is prevalent in practical applications. However, previous research have been focused on regular time series forecasting, typically relying on transformer…

Machine Learning · Computer Science 2024-10-01 Byunghyun Kim , Jae-Gil Lee

When building linear or nonlinear models one is faced with the problem of selecting the best set of variable with which to predict the future dynamics. In nonlinear time series analysis the problem is to select the correct time delays in…

Chaotic Dynamics · Physics 2007-05-23 Michael Small

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

Classification of time series is a growing problem in different disciplines due to the progressive digitalization of the world. Currently, the state-of-the-art in time series classification is dominated by The Hierarchical Vote Collective…

Machine Learning · Computer Science 2021-10-18 Francisco J. Baldán , José M. Benítez

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

We propose a novel Bayesian approach to modelling nonlinear alignments of time series based on latent shared information. We apply the method to the real-world problem of finding common structure in the sensor data of wind turbines…

Machine Learning · Statistics 2018-05-24 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

Pointwise matches between two time series are of great importance in time series analysis, and dynamic time warping (DTW) is known to provide generally reasonable matches. There are situations where time series alignment should be invariant…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Tsu-Wei Chen , Meena Abdelmaseeh , Daniel Stashuk

Time Series Alignment is a critical task in signal processing with numerous real-world applications. In practice, signals often exhibit temporal shifts and scaling, making classification on raw data prone to errors. This paper introduces a…

Machine Learning · Computer Science 2025-02-27 Alireza Nourbakhsh , Hoda Mohammadzade