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In practical scenarios, time series forecasting necessitates not only accuracy but also efficiency. Consequently, the exploration of model architectures remains a perennially trending topic in research. To address these challenges, we…

Machine Learning · Computer Science 2025-08-13 Tianxiang Zhan , Yuanpeng He , Yong Deng , Zhen Li , Wenjie Du , Qingsong Wen

This paper reports on the application to field measurements of time series methods developed on the basis of the theory of deterministic chaos. The major difficulties are pointed out that arise when the data cannot be assumed to be purely…

chao-dyn · Physics 2015-06-24 Thomas Schreiber

Approximating probability distributions can be a challenging task, particularly when they are supported over regions of high geometrical complexity or exhibit multiple modes. Annealing can be used to facilitate this task which is often…

Computation · Statistics 2022-02-03 Emma R. Cobian , Jonathan D. Hauenstein , Fang Liu , Daniele E. Schiavazzi

Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since…

Machine Learning · Computer Science 2024-02-06 Hao Cheng , Qingsong Wen , Yang Liu , Liang Sun

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

Artificial neural networks (ANNs) are highly flexible predictive models. However, reliably quantifying uncertainty for their predictions is a continuing challenge. There has been much recent work on "recalibration" of predictive…

Methodology · Statistics 2024-03-12 R. Torres , D. J. Nott , S. A. Sisson , T. Rodrigues , J. G. Reis , G. S. Rodrigues

This work introduces a novel approach to modeling temporal point processes using diffusion models with an asynchronous noise schedule. At each step of the diffusion process, the noise schedule injects noise of varying scales into different…

Machine Learning · Computer Science 2025-04-30 Amartya Mukherjee , Ruizhi Deng , He Zhao , Yuzhen Mao , Leonid Sigal , Frederick Tung

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

The characterisation of time-series data via their most salient features is extremely important in a range of machine learning task, not least of all with regards to classification and clustering. While there exist many feature extraction…

Machine Learning · Computer Science 2015-07-28 Duncan Barrack , James Goulding , Keith Hopcraft , Simon Preston , Gavin Smith

Nonlinear vector autoregression (NVAR) and reservoir computing (RC) have shown promise in forecasting chaotic dynamical systems, such as the Lorenz-63 model and El Nino-Southern Oscillation. However, their reliance on fixed nonlinear…

Machine Learning · Computer Science 2025-12-02 Azimov Sherkhon , Susana Lopez-Moreno , Eric Dolores-Cuenca , Sieun Lee , Sangil Kim

Time-series anomaly detection deals with the problem of detecting anomalous timesteps by learning normality from the sequence of observations. However, the concept of normality evolves over time, leading to a "new normal problem", where the…

Machine Learning · Computer Science 2024-01-23 Dongmin Kim , Sunghyun Park , Jaegul Choo

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

Rapid expansion of model size has emerged as a key challenge in time series forecasting. From early Transformer with tens of megabytes to recent architectures like TimesNet with thousands of megabytes, performance gains have often come at…

Machine Learning · Computer Science 2025-05-16 Zeyan Li , Libing Chen , Yin Tang

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Complex distribution shifts are the main obstacle to achieving accurate long-term time series forecasting. Several efforts have been conducted to capture the distribution characteristics and propose adaptive normalization techniques to…

Machine Learning · Computer Science 2024-10-01 Dalin Qin , Yehui Li , Weiqi Chen , Zhaoyang Zhu , Qingsong Wen , Liang Sun , Pierre Pinson , Yi Wang

Time series forecasting predicts future values from past data. In real-world settings, some anomalous events have lasting effects and influence the forecast, while others are short-lived and should be ignored. Standard forecasting models…

Machine Learning · Computer Science 2025-12-15 Joel Ekstrand , Zahra Taghiyarrenani , Slawomir Nowaczyk

Time series analysis plays a critical role in numerous applications, supporting tasks such as forecasting, classification, anomaly detection, and imputation. In this work, we present the time series pattern machine (TSPM), a model designed…

Machine Learning · Computer Science 2025-05-20 Shiyu Wang , Jiawei Li , Xiaoming Shi , Zhou Ye , Baichuan Mo , Wenze Lin , Shengtong Ju , Zhixuan Chu , Ming Jin

Meta-forecasting is a newly emerging field which combines meta-learning and time series forecasting. The goal of meta-forecasting is to train over a collection of source time series and generalize to new time series one-at-a-time. Previous…

Machine Learning · Computer Science 2023-02-07 Mike Van Ness , Huibin Shen , Hao Wang , Xiaoyong Jin , Danielle C. Maddix , Karthick Gopalswamy

Probabilistic time series forecasting is crucial in many application domains such as retail, ecommerce, finance, or biology. With the increasing availability of large volumes of data, a number of neural architectures have been proposed for…

Machine Learning · Computer Science 2021-12-15 Olivier Sprangers , Sebastian Schelter , Maarten de Rijke

Recently, multivariate time series forecasting tasks have garnered increasing attention due to their significant practical applications, leading to the emergence of various deep forecasting models. However, real-world time series exhibit…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Qingsong Wen , Sijie Ruan , Li Liu , Yuxuan Liang
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