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The purpose of this paper is to give an overview of the time series forecasting problem based on similarity of trajectories. Various methodologies are introduced and studied, and detailed discussions on hyperparameter optimization, outlier…

Methodology · Statistics 2023-09-20 İlker Arslan , Can Hakan Dağıdır , Ümit Işlak

Anomaly detection in multivariate time series is an important problem across various fields such as healthcare, financial services, manufacturing or physics detector monitoring. Accurately identifying when unexpected errors or faults occur…

Machine Learning · Computer Science 2025-06-26 Laura Boggia , Rafael Teixeira de Lima , Bogdan Malaescu

We propose a method for filling gaps and removing interferences in time series for applications involving continuous monitoring of environmental variables. The approach is non-parametric and based on an iterative pattern-matching between…

Geophysics · Physics 2015-08-11 Gregoire Mariethoz , Niklas Linde , Damien Jougnot , Hassan Rezaee

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

Optimization and Control · Mathematics 2020-08-28 Filip Hanzely

The shapelet transform is a form of feature extraction for time series, in which a time series is described by its similarity to each of a collection of `shapelets'. However it has previously suffered from a number of limitations, such as…

Machine Learning · Computer Science 2020-06-01 Patrick Kidger , James Morrill , Terry Lyons

Self-supervised learning achieves superior performance in many domains by extracting useful representations from the unlabeled data. However, most of traditional self-supervised methods mainly focus on exploring the inter-sample structure…

Machine Learning · Computer Science 2020-11-30 Haoyi Fan , Fengbin Zhang , Yue Gao

The detection of periodic signals in irregularly-sampled time series is a problem commonly encountered in astronomy. Traditional tools used for periodic searches, such as the periodogram, have poorly defined statistical properties under…

Instrumentation and Methods for Astrophysics · Physics 2025-01-13 A. Gúrpide , M. Middleton

The core challenge in unsupervised anomaly detection is identifying abnormal patterns without prior knowledge of their characteristics. While existing methods have addressed aspects of this problem, they often struggle to learn a robust…

Machine Learning · Computer Science 2026-05-12 Prithul Sarker , Sushmita Sarker , Nicholas G. Murray , Alireza Tavakkoli

Anomaly detection of multivariate time series is meaningful for system behavior monitoring. This paper proposes an anomaly detection method based on unsupervised Short- and Long-term Mask Representation learning (SLMR). The main idea is to…

Machine Learning · Computer Science 2022-08-24 Qiucheng Miao , Chuanfu Xu , Jun Zhan , Dong Zhu , Chengkun Wu

Time series classification is a field which has drawn much attention over the past decade. A new approach for classification of time series uses classification trees based on shapelets. A shapelet is a subsequence extracted from one of the…

Machine Learning · Computer Science 2012-09-25 Daniel Gordon , Danny Hendler , Lior Rokach

Animals exploit time to survive in the world. Temporal information is required for higher-level cognitive abilities such as planning, decision making, communication, and effective cooperation. Since time is an inseparable part of cognition,…

Artificial Intelligence · Computer Science 2020-12-29 Hamit Basgol , Inci Ayhan , Emre Ugur

Industrial time-series data from real production environments exhibits substantially higher complexity than commonly used benchmark datasets, primarily due to heterogeneous, multi-stage operational processes. As a result, anomaly detection…

Machine Learning · Computer Science 2026-04-16 Sergej Krasnikov , Lukas Meitz , Samineh Bagheri , Michael Heider , Thorsten Schöler , Jörg Hähner

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Given an unknown dynamical system, what is the minimum number of samples needed for effective learning of its governing laws and accurate prediction of its future evolution behavior, and how to select these critical samples? In this work,…

Machine Learning · Computer Science 2024-01-15 Ce Zhang , Kailiang Wu , Zhihai He

For the challenging task of modeling multivariate time series, we propose a new class of models that use dependent Mat\'ern processes to capture the underlying structure of data, explain their interdependencies, and predict their unknown…

Machine Learning · Statistics 2015-02-13 Alexander Vandenberg-Rodes , Babak Shahbaba

One challenging property lurking in medical datasets is the imbalanced data distribution, where the frequency of the samples between the different classes is not balanced. Training a model on an imbalanced dataset can introduce unique…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Ashkan Khakzar , Yawei Li , Yang Zhang , Mirac Sanisoglu , Seong Tae Kim , Mina Rezaei , Bernd Bischl , Nassir Navab

While Internet of Things (IoT) devices and sensors create continuous streams of information, Big Data infrastructures are deemed to handle the influx of data in real-time. One type of such a continuous stream of information is time series…

Methodology · Statistics 2020-05-05 Elyas Sabeti , Peter X. K. Song , Alfred O. Hero

Time series anomaly prediction plays an essential role in many real-world scenarios, such as environmental prevention and prompt maintenance of cyber-physical systems. However, existing time series anomaly prediction methods mainly require…

Machine Learning · Computer Science 2025-12-05 Kai Zhao , Zhihao Zhuang , Chenjuan Guo , Hao Miao , Yunyao Cheng , Bin Yang

This paper investigates unsupervised anomaly detection in multivariate time-series data using reinforcement learning (RL) in the latent space of an autoencoder. A significant challenge is the limited availability of anomalous data, often…

Machine Learning · Computer Science 2025-02-11 Saba Sanami , Amir G. Aghdam