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Time-series forecasting finds broad applications in real-world scenarios. Due to the dynamic nature of time series data, it is important for time-series forecasting models to handle potential distribution shifts over time. In this paper, we…

Machine Learning · Computer Science 2026-03-26 Zhiyuan Zhao , Haoxin Liu , B. Aditya Prakash

Time series prediction (TSP) has been widely used in various fields, such as life sciences and finance, to forecast future trends based on historical data. However, to date, there has been relatively little research conducted on the TSP for…

Quantum Physics · Physics 2024-01-15 Zhao-Wei Wang , Zhao-Ming Wang

This paper is concerned with online time series forecasting, where unknown distribution shifts occur over time, i.e., latent variables influence the mapping from historical to future observations. To develop an automated way of online time…

Machine Learning · Computer Science 2025-10-22 Zijian Li , Changze Zhou , Minghao Fu , Sanjay Manjunath , Fan Feng , Guangyi Chen , Yingyao Hu , Ruichu Cai , Kun Zhang

The availability of large amounts of time series data, paired with the performance of deep-learning algorithms on a broad class of problems, has recently led to significant interest in the use of sequence-to-sequence models for time series…

Machine Learning · Computer Science 2019-02-27 Vitaly Kuznetsov , Zelda Mariet

Recent advances in Large Language Models (LLMs) have demonstrated new possibilities for accurate and efficient time series analysis, but prior work often required heavy fine-tuning and/or ignored inter-series correlations. In this work, we…

Many applications require the ability to judge uncertainty of time-series forecasts. Uncertainty is often specified as point-wise error bars around a mean or median forecast. Due to temporal dependencies, such a method obscures some…

Machine Learning · Statistics 2012-11-14 Sriharsha Veeramachaneni

In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra…

History and Overview · Mathematics 2025-05-30 Eric Hillebrand

The vast majority of time-series forecasting approaches require a substantial training dataset. However, many real-life forecasting applications have very little initial observations, sometimes just 40 or fewer. Thus, the applicability of…

Machine Learning · Computer Science 2023-11-06 Samuel Dooley , Gurnoor Singh Khurana , Chirag Mohapatra , Siddartha Naidu , Colin White

The proposed method in this paper is designed to address the problem of time series forecasting. Although some exquisitely designed models achieve excellent prediction performances, how to extract more useful information and make accurate…

Artificial Intelligence · Computer Science 2023-02-01 Yuanpeng He

Data augmentation is a crucial tool in time series forecasting, especially for deep learning architectures that require a large training sample size to generalize effectively. However, extensive datasets are not always available in…

Machine Learning · Computer Science 2026-01-28 Luis Amorim , Moises Santos , Paulo J. Azevedo , Carlos Soares , Vitor Cerqueira

We address a three-tier numerical framework based on manifold learning for the forecasting of high-dimensional time series. At the first step, we embed the time series into a reduced low-dimensional space using a nonlinear manifold learning…

Numerical Analysis · Mathematics 2023-03-16 Panagiotis Papaioannou , Ronen Talmon , Ioannis Kevrekidis , Constantinos Siettos

The study of trajectories is often a core task in several research fields. In environmental modelling, trajectories are crucial to study fluid pollution, animal migrations, oil slick patterns or land movements. In this contribution, we…

Computation · Statistics 2022-09-23 A. Reyes , G. Viera-López , J. J. Morgado-Vega , E. Altshuler

Time-series forecasting plays an important role in many domains. Boosted by the advances in Deep Learning algorithms, it has for instance been used to predict wind power for eolic energy production, stock market fluctuations, or motor…

Machine Learning · Computer Science 2021-07-23 Luis P. Silvestrin , Leonardos Pantiskas , Mark Hoogendoorn

Time series forecasting presents unique challenges that limit the effectiveness of traditional machine learning algorithms. To address these limitations, various approaches have incorporated linear constraints into learning algorithms, such…

Machine Learning · Statistics 2025-02-18 Nathan Doumèche , Francis Bach , Éloi Bedek , Gérard Biau , Claire Boyer , Yannig Goude

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

Deep learning time-series models are often used to make forecasts that inform downstream decisions. Since these decisions can differ from those in the training set, there is an implicit requirement that time-series models will generalize…

Machine Learning · Computer Science 2024-11-04 Thomas Crasson , Yacine Nabet , Mathias Lécuyer

Learning complex time series forecasting models usually requires a large amount of data, as each model is trained from scratch for each task/data set. Leveraging learning experience with similar datasets is a well-established technique for…

Machine Learning · Computer Science 2022-08-19 Lukas Brinkmeyer , Rafael Rego Drumond , Johannes Burchert , Lars Schmidt-Thieme

In the past few years, time series foundation models have achieved superior predicting accuracy. However, real-world time series often exhibit significant diversity in their temporal patterns across different time spans and domains, making…

Machine Learning · Computer Science 2026-03-19 Aobo Liang , Yan Sun , Xiaohou Shi , Ke Li

A time series is a sample of observations of well-defined data points obtained through repeated measurements over a certain time range. The analysis of such data samples has become increasingly important not only in natural science but also…

Instrumentation and Methods for Astrophysics · Physics 2016-02-18 E. Paunzen , T. Vanmunster

Event detection in time series data is crucial in various domains, including finance, healthcare, cybersecurity, and science. Accurately identifying events in time series data is vital for making informed decisions, detecting anomalies, and…

Machine Learning · Computer Science 2023-12-19 Menouar Azib , Benjamin Renard , Philippe Garnier , Vincent Génot , Nicolas André
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