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This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

Time series forecasting is essential in a wide range of real world applications. Recently, frequency-domain methods have attracted increasing interest for their ability to capture global dependencies. However, when applied to non-stationary…

Machine Learning · Statistics 2026-02-09 Zhongde An , Jinhong You , Jiyanglin Li , Yiming Tang , Wen Li , Heming Du , Shouguo Du

Generating synthetic financial time series data that accurately reflects real-world market dynamics holds tremendous potential for various applications, including portfolio optimization, risk management, and large scale machine learning. We…

Mathematical Finance · Quantitative Finance 2025-11-05 Chung I Lu , Julian Sester

Time series neural networks perform exceptionally well in real-world applications but encounter challenges such as limited scalability, poor generalization, and suboptimal zero-shot performance. Inspired by large language models, there is…

Machine Learning · Computer Science 2025-01-28 Yongzhi Qi , Hao Hu , Dazhou Lei , Jianshen Zhang , Zhengxin Shi , Yulin Huang , Zhengyu Chen , Xiaoming Lin , Zuo-Jun Max Shen

Individuals often respond differently to identical treatments, and characterizing such variability in treatment response is an important aim in the practice of personalized medicine. In this article, we describe a non-parametric accelerated…

Methodology · Statistics 2017-06-22 Nicholas C. Henderson , Thomas A. Louis , Gary L. Rosner , Ravi Varadhan

We develop a framework to uncover and analyze dynamical anomalies from massive, nonlinear and non-stationary time series data. The framework consists of three steps: preprocessing of massive data sets to eliminate erroneous data segments,…

Medical Physics · Physics 2016-12-26 Liang Huang , Xuan Ni , William L. Ditto , Mark Spano , Paul R. Carney , Ying-Cheng Lai

Sequence learning, prediction and replay have been proposed to constitute the universal computations performed by the neocortex. The Hierarchical Temporal Memory (HTM) algorithm realizes these forms of computation. It learns sequences in an…

Neurons and Cognition · Quantitative Biology 2022-07-21 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

Gravitational wave astronomy relies on the use of multiple detectors, so that coincident detections may distinguish real signals from instrumental artifacts, and also so that relative timing of signals can provide the sky position of…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexander Stroeer , Lindy Blackburn , Jordan Camp

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

Machine Learning · Computer Science 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães

Fluctuations in the stock market rapidly shape the economic world and consumer markets, impacting millions of individuals. Hence, accurately forecasting it is essential for mitigating risks, including those associated with inactivity.…

Statistical Finance · Quantitative Finance 2025-01-15 Konstantinos-Leonidas Bisdoulis

We propose Mixed-Panels-Transformer Encoder (MPTE), a novel framework for estimating factor models in panel datasets with mixed frequencies and nonlinear signals. Traditional factor models rely on linear signal extraction and require…

Econometrics · Economics 2026-01-26 Alessio Brini , Ekaterina Seregina

Time series foundation models (TSFMs) such as Lag-Llama, TimeGPT, Chronos, MOMENT, UniTS, and TimesFM have shown strong generalization and zero-shot capabilities for time series forecasting, anomaly detection, classification, and…

Machine Learning · Computer Science 2025-08-26 Dhruv D. Modi , Rong Pan

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

This paper introduces a novel spatiotemporal feature representation model designed to address the limitations of traditional methods in multidimensional time series (MTS) analysis. The proposed approach converts MTS into one-dimensional…

Machine Learning · Computer Science 2024-10-10 Xu Yan , Yaoting Jiang , Wenyi Liu , Didi Yi , Jianjun Wei

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

Time series forecasting is crucial in many fields, yet current deep learning models struggle with noise, data sparsity, and capturing complex multi-scale patterns. This paper presents MFF-FTNet, a novel framework addressing these challenges…

Machine Learning · Computer Science 2024-11-27 Yangyang Shi , Qianqian Ren , Yong Liu , Jianguo Sun

Time series forecasting is a crucial challenge with significant applications in areas such as weather prediction, stock market analysis, and scientific simulations. This paper introduces an embedded decomposed transformer, 'EDformer', for…

Machine Learning · Computer Science 2024-12-18 Sanjay Chakraborty , Ibrahim Delibasoglu , Fredrik Heintz

In this paper, we investigate time-varying nonlinear time series regression for a broad class of locally stationary time series. First, we propose sieve nonparametric estimators for the time-varying regression functions that achieve uniform…

Methodology · Statistics 2025-07-01 Xiucai Ding , Zhou Zhou

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong

If machine failures can be detected preemptively, then maintenance and repairs can be performed more efficiently, reducing production costs. Many machine learning techniques for performing early failure detection using vibration data have…

Neural and Evolutionary Computing · Computer Science 2021-03-05 Arnav V. Malawade , Nathan D. Costa , Deepan Muthirayan , Pramod P. Khargonekar , Mohammad A. Al Faruque