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Most recent studies on detecting and localizing temporal anomalies have mainly employed deep neural networks to learn the normal patterns of temporal data in an unsupervised manner. Unlike them, the goal of our work is to fully utilize…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Dongha Lee , Sehun Yu , Hyunjun Ju , Hwanjo Yu

Non-stationarity is an intrinsic property of real-world time series and plays a crucial role in time series forecasting. Previous studies primarily adopt instance normalization to attenuate the non-stationarity of original series for better…

Machine Learning · Computer Science 2025-03-05 Tianyu Jia , Zongxia Xie , Yanru Sun , Dilfira Kudrat , Qinghua Hu

Time series forecasting poses significant challenges in non-stationary environments where underlying patterns evolve over time. In this work, we propose a novel framework that enhances deep neural network (DNN) performance by leveraging…

Machine Learning · Computer Science 2025-08-12 Amal Saadallah , Abdulaziz Al-Ademi

In deep time series forecasting, the Fourier Transform (FT) is extensively employed for frequency representation learning. However, it often struggles in capturing multi-scale, time-sensitive patterns. Although the Wavelet Transform (WT)…

Machine Learning · Computer Science 2026-02-09 Ziyu Zhou , Jiaxi Hu , Qingsong Wen , James T. Kwok , Yuxuan Liang

Time series anomaly detection plays a vital role in a wide range of applications. Existing methods require training one specific model for each dataset, which exhibits limited generalization capability across different target datasets,…

Machine Learning · Computer Science 2025-03-04 Qichao Shentu , Beibu Li , Kai Zhao , Yang Shu , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo

We propose a wavelet based method for the characterization of the scaling behavior of non-stationary time series. It makes use of the built-in ability of the wavelets for capturing the trends in a data set, in variable window sizes.…

Chaotic Dynamics · Physics 2009-11-10 P. Manimaran , Prasanta K. Panigrahi , Jitendra C. Parikh

Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

Methodology · Statistics 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

We introduce a qualitative, shape-based, timescale-independent time-domain transform used to extract local dynamics from sociotechnical time series---termed the Discrete Shocklet Transform (DST)---and an associated similarity search…

Most time series observed in practice exhibit time-varying trend (first-order) and autocovariance (second-order) behaviour. Differencing is a commonly-used technique to remove the trend in such series, in order to estimate the time-varying…

Methodology · Statistics 2022-09-07 Euan T. McGonigle , Rebecca Killick , Matthew A. Nunes

Many real-world applications require aligning two temporal sequences, including bioinformatics, handwriting recognition, activity recognition, and human-robot coordination. Dynamic Time Warping (DTW) is a popular alignment method, but can…

Machine Learning · Computer Science 2021-09-21 Sridhar Mahadevan , Anup Rao , Georgios Theocharous , Jennifer Healey

Time series forecasting has witnessed significant progress with deep learning. While prevailing approaches enhance forecasting performance by modifying architectures or introducing novel enhancement strategies, they often fail to…

Machine Learning · Computer Science 2026-03-31 Haonan Yang , Jianchao Tang , Zhuo Li

Data augmentation is important for improving machine learning model performance when faced with limited real-world data. In time series forecasting (TSF), where accurate predictions are crucial in fields like finance, healthcare, and…

Machine Learning · Computer Science 2024-08-21 Dona Arabi , Jafar Bakhshaliyev , Ayse Coskuner , Kiran Madhusudhanan , Kami Serdar Uckardes

Traditional Time-series Anomaly Detection (TAD) methods often struggle with the composite nature of complex time-series data and a diverse array of anomalies. We introduce TADNet, an end-to-end TAD model that leverages Seasonal-Trend…

Machine Learning · Computer Science 2023-12-15 Zhenwei Zhang , Ruiqi Wang , Ran Ding , Yuantao Gu

Time series forecasting has become a critical task due to its high practicality in real-world applications such as traffic, energy consumption, economics and finance, and disease analysis. Recent deep-learning-based approaches have shown…

Machine Learning · Computer Science 2023-05-30 Youngin Cho , Daejin Kim , Dongmin Kim , Mohammad Azam Khan , Jaegul Choo

While time series prediction is an important, actively studied problem, the predictive accuracy of time series models is complicated by non-stationarity. We develop a fast and effective approach to allow for non-stationarity in the…

Applications · Statistics 2015-12-10 Daniel M. McCarthy , Shane T. Jensen

Time series data is ubiquitous in the real-world problems across various domains including healthcare, social media, and crime surveillance. Detecting anomalies, or irregular and rare events, in time series data, can enable us to find…

Machine Learning · Computer Science 2021-10-05 Abilasha S , Sahely Bhadra , Deepak P , Anish Mathew

In recent years, conditional image synthesis has attracted growing attention due to its controllability in the image generation process. Although recent works have achieved realistic results, most of them have difficulty handling…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Yueming Lyu , Peibin Chen , Jingna Sun , Bo Peng , Xu Wang , Jing Dong

Deep learning has shown impressive results in a variety of time series forecasting tasks, where modeling the conditional distribution of the future given the past is the essence. However, when this conditional distribution is…

Machine Learning · Computer Science 2024-02-27 Siqi Liu , Andreas Lehrmann

Anomalous diffusion, which shows a deviation of transport dynamics from the framework of standard Brownian motion, is involved in the evolution of various physical, chemical, biological, and economic systems. The study of such random…

Machine Learning · Computer Science 2021-09-21 Dezhong Li , Qiujin Yao , Zihan Huang

Abstract. Detecting anomalies in patterns of sensor data is important in many practical applications, including domestic activity monitoring for Active Assisted Living (AAL). How to represent and analyse these patterns, however, remains a…

Artificial Intelligence · Computer Science 2024-01-23 Manuel Fernandez-Carmona , Sariah Mghames , Nicola Bellotto