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Although Transformers excel in natural language processing, their extension to time series forecasting remains challenging due to insufficient consideration of the differences between textual and temporal modalities. In this paper, we…

Machine Learning · Computer Science 2025-10-09 Zhipeng Liu , Peibo Duan , Xuan Tang , Baixin Li , Yongsheng Huang , Mingyang Geng , Changsheng Zhang , Bin Zhang , Binwu Wang

We propose criteria that define a trend for time series with inherent multi-scale features. We call this trend the {\it tendency} of a time series. The tendency is defined empirically by a set of criteria and captures the large-scale…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Juan M. Restrepo , Shankar C. Venkataramani , Darin Comeau , Hermann Flaschka

The advancement of Time Series Foundation Models (TSFMs) has been driven primarily by large-scale pre-training, but inference-time compute potential remains largely untapped. This work systematically investigates two questions: how do TSFMs…

Machine Learning · Computer Science 2026-01-27 Ruijin Hua , Zichuan Liu , Kun Zhang , Yiyuan Yang

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

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

Unsupervised anomaly detection of multivariate time series is a challenging task, given the requirements of deriving a compact detection criterion without accessing the anomaly points. The existing methods are mainly based on reconstruction…

Machine Learning · Computer Science 2026-05-26 Qingxiang Liu , Xiaoliang Luo , Chenghao Liu , Sheng Sun , Di Yao , Lvchun Wang , Wei Yu , Yuxuan Liang

Notable progress has been made in generalist medical large language models across various healthcare areas. However, large-scale modeling of in-hospital time series data - such as vital signs, lab results, and treatments in critical care -…

Time-series forecasting models often encounter abrupt changes in a given period of time which generally occur due to unexpected or unknown events. Despite their scarce occurrences in the training set, abrupt changes incur loss that…

Machine Learning · Computer Science 2023-09-25 Junwoo Park , Jungsoo Lee , Youngin Cho , Woncheol Shin , Dongmin Kim , Jaegul Choo , Edward Choi

Time series classification (TSC) of biological signals has progressed from handcrafted, modality-specific approaches to deep architectures capable of representing the diverse waveform structures of underlying physiological processes (i.e.,…

This article introduces the class of continuous time locally stationary wavelet processes. Continuous time models enable us to properly provide scale-based time series models for irregularly-spaced observations for the first time, while…

Statistics Theory · Mathematics 2025-03-19 Henry Antonio Palasciano , Marina I. Knight , Guy P. Nason

Understanding user intent is essential for situational and context-aware decision-making. Motivated by a real-world scenario, this work addresses intent predictions of smart device users in the vicinity of vehicles by modeling sequential…

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

We introduce circulance, a scalar measure for classifying time series of dynamical systems. Circulance captures the extent of temporal regularity or irregularity that is encoded in the topology of a directed ordinal pattern transition…

Chaotic Dynamics · Physics 2026-01-05 Max Potratzki , Manuel Adams , Timo Bröhl , Klaus Lehnertz

A reliable and efficient representation of multivariate time series is crucial in various downstream machine learning tasks. In multivariate time series forecasting, each variable depends on its historical values and there are…

Machine Learning · Computer Science 2022-08-22 William T. Ng , K. Siu , Albert C. Cheung , Michael K. Ng

In multivariate time series forecasting (MTSF), accurately modeling the intricate dependencies among multiple variables remains a significant challenge due to the inherent limitations of traditional approaches. Most existing models adopt…

Machine Learning · Computer Science 2025-11-19 Yuchen Luo , Xinyu Li , Liuhua Peng , Mingming Gong

Detecting anomalies and the corresponding root causes in multivariate time series plays an important role in monitoring the behaviors of various real-world systems, e.g., IT system operations or manufacturing industry. Previous anomaly…

Machine Learning · Computer Science 2022-09-30 Wenzhuo Yang , Kun Zhang , Steven C. H. Hoi

The process of collecting and organizing sets of observations represents a common theme throughout the history of science. However, despite the ubiquity of scientists measuring, recording, and analyzing the dynamics of different processes,…

Data Analysis, Statistics and Probability · Physics 2013-05-23 Ben D. Fulcher , Max A. Little , Nick S. Jones

The same machine learning model running on different edge devices may produce highly-divergent outputs on a nearly-identical input. Possible reasons for the divergence include differences in the device sensors, the device's signal…

Machine Learning · Computer Science 2020-10-20 Eyal Cidon , Evgenya Pergament , Zain Asgar , Asaf Cidon , Sachin Katti

In this paper, we propose ShapTST, a framework that enables time-series transformers to efficiently generate Shapley-value-based explanations alongside predictions in a single forward pass. Shapley values are widely used to evaluate the…

Machine Learning · Computer Science 2025-01-28 Qisen Cheng , Jinming Xing , Chang Xue , Xiaoran Yang

Time series is a special type of sequence data, a sequence of real-valued random variables collected at even intervals of time. The real-world multivariate time series comes with noises and contains complicated local and global temporal…

Machine Learning · Computer Science 2023-11-21 Site Mo , Haoxin Wang , Bixiong Li , Songhai Fan , Yuankai Wu , Xianggen Liu
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