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Frequency-domain analysis has emerged as a powerful paradigm for time series analysis, offering unique advantages over traditional time-domain approaches while introducing new theoretical and practical challenges. This survey provides a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Qianru Zhang , Yuting Sun , Honggang Wen , Peng Yang , Xinzhu Li , Ming Li , Kwok-Yan Lam , Siu-Ming Yiu , Hongzhi Yin

Time series analysis stands as a focal point within the data mining community, serving as a cornerstone for extracting valuable insights crucial to a myriad of real-world applications. Recent advances in Foundation Models (FMs) have…

Machine Learning · Computer Science 2024-06-19 Yuxuan Liang , Haomin Wen , Yuqi Nie , Yushan Jiang , Ming Jin , Dongjin Song , Shirui Pan , Qingsong Wen

The integration of Fourier transform and deep learning opens new avenues for time series forecasting. We reconsider the Fourier transform from a basis functions perspective. Specifically, the real and imaginary parts of the frequency…

Machine Learning · Computer Science 2025-08-05 Runze Yang , Longbing Cao , Xin You , Kun Fang , Jianxun Li , Jie Yang

Continuous-time series is essential for different modern application areas, e.g. healthcare, automobile, energy, finance, Internet of things (IoT) and other related areas. Different application needs to process as well as analyse a massive…

Machine Learning · Computer Science 2024-09-17 Mansura Habiba , Barak A. Pearlmutter , Mehrdad Maleki

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 is a field of data science which is interested in analyzing sequences of numerical values ordered in time. Time series are particularly interesting because they allow us to visualize and understand the evolution of a…

Machine Learning · Computer Science 2020-10-02 Hassan Ismail Fawaz

Time series forecasting (TSF) has long been a crucial task in both industry and daily life. Most classical statistical models may have certain limitations when applied to practical scenarios in fields such as energy, healthcare, traffic,…

Machine Learning · Computer Science 2025-03-14 Xiangjie Kong , Zhenghao Chen , Weiyao Liu , Kaili Ning , Lechao Zhang , Syauqie Muhammad Marier , Yichen Liu , Yuhao Chen , Feng Xia

Temporal data are ubiquitous in the financial services (FS) industry -- traditional data like economic indicators, operational data such as bank account transactions, and modern data sources like website clickstreams -- all of these occur…

Statistical Finance · Quantitative Finance 2020-09-15 Jason Wittenbach , Brian d'Alessandro , C. Bayan Bruss

Data is essential to performing time series analysis utilizing machine learning approaches, whether for classic models or today's large language models. A good time-series dataset is advantageous for the model's accuracy, robustness, and…

Machine Learning · Computer Science 2024-04-29 Chenxi Sun , Hongyan Li , Yaliang Li , Shenda Hong

Time series data are ubiquitous across diverse real-world applications, making time series analysis critically important. Traditional approaches are largely task-specific, offering limited functionality and poor transferability. In recent…

Machine Learning · Computer Science 2025-09-18 Jiexia Ye , Yongzi Yu , Weiqi Zhang , Le Wang , Jia Li , Fugee Tsung

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

Mining time-frequency features is critical for time series forecasting. Existing research has predominantly focused on modeling low-frequency patterns, where most time series energy is concentrated. The overlooking of mid to high frequency…

Machine Learning · Computer Science 2026-03-11 Boya Zhang , Shuaijie Yin , Huiwen Zhu , Xing He

Despite the eminent successes of deep neural networks, many architectures are often hard to transfer to irregularly-sampled and asynchronous time series that commonly occur in real-world datasets, especially in healthcare applications. This…

Machine Learning · Computer Science 2020-09-16 Max Horn , Michael Moor , Christian Bock , Bastian Rieck , Karsten Borgwardt

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

Financial time series forecasting is, without a doubt, the top choice of computational intelligence for finance researchers from both academia and financial industry due to its broad implementation areas and substantial impact. Machine…

Machine Learning · Computer Science 2019-12-02 Omer Berat Sezer , Mehmet Ugur Gudelek , Ahmet Murat Ozbayoglu

Training a general-purpose time series foundation models with robust generalization capabilities across diverse applications from scratch is still an open challenge. Efforts are primarily focused on fusing cross-domain time series datasets…

Machine Learning · Computer Science 2024-12-13 Shengchao Chen , Guodong Long , Jing Jiang , Chengqi Zhang

Transformer-based models have made significant progress in time series forecasting. However, a key limitation of deep learning models is their susceptibility to adversarial attacks, which has not been studied enough in the context of time…

Machine Learning · Computer Science 2025-08-13 Naifu Feng , Lixing Chen , Junhua Tang , Hua Ding , Jianhua Li , Yang Bai

Time series analysis is pivotal in domains like financial forecasting and biomedical monitoring, yet traditional methods are constrained by limited nonlinear feature representation and long-term dependency capture. The emergence of Large…

Machine Learning · Computer Science 2025-06-16 Feifei Shi , Xueyan Yin , Kang Wang , Wanyu Tu , Qifu Sun , Huansheng Ning

Time series anomaly detection has applications in a wide range of research fields and applications, including manufacturing and healthcare. The presence of anomalies can indicate novel or unexpected events, such as production faults, system…

Machine Learning · Computer Science 2024-09-04 Zahra Zamanzadeh Darban , Geoffrey I. Webb , Shirui Pan , Charu C. Aggarwal , Mahsa Salehi

In this paper, we present an assortment of both standard and advanced Fourier techniques that are useful in the analysis of astrophysical time series of very long duration -- where the observation time is much greater than the time…

Astrophysics · Physics 2009-11-07 Scott M. Ransom , Stephen S. Eikenberry , John Middleditch
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