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Related papers: A robust functional time series forecasting method

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In modern Industry 4.0 applications, a huge amount of data is acquired during manufacturing processes that are often contaminated with anomalous observations in the form of both casewise and cellwise outliers. These can seriously reduce the…

Applications · Statistics 2024-04-17 Christian Capezza , Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Environmental data often take the form of a collection of curves observed sequentially over time. An example of this includes daily pollution measurement curves describing the concentration of a particulate matter in ambient air. These…

Computation · Statistics 2016-08-26 Han Lin Shang

A robust model for time series forecasting is highly important in many domains, including but not limited to financial forecast, air temperature and electricity consumption. To improve forecasting performance, traditional approaches usually…

Machine Learning · Computer Science 2019-09-19 Long H. Nguyen , Zhenhe Pan , Opeyemi Openiyi , Hashim Abu-gellban , Mahdi Moghadasi , Fang Jin

With the advent of Transformers, time series forecasting has seen significant advances, yet it remains challenging due to the need for effective sequence representation, memory construction, and accurate target projection. Time series…

Artificial Intelligence · Computer Science 2025-07-09 Robert Leppich , Michael Stenger , André Bauer , Samuel Kounev

Despite their simplicity, linear models perform well at time series forecasting, even when pitted against deeper and more expensive models. A number of variations to the linear model have been proposed, often including some form of feature…

Machine Learning · Computer Science 2024-03-26 William Toner , Luke Darlow

Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

Methodology · Statistics 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

Time series forecasting drives operational decisions in areas like finance, transportation, and energy. While supervised learning approaches achieve strong performance, they require domain-specific training, feature engineering, and ongoing…

Machine Learning · Computer Science 2026-05-26 Kavin Soni , Debanshu Das , Vamshi Guduguntla

Introduction: Long-term time series forecasting (LTSF) has gained significant attention in recent years. While various specialized designs exist for capturing temporal dependency, recent studies have shown that even a single linear layer…

Machine Learning · Computer Science 2026-05-19 Zhe Li , Shiyi Qi , Yiduo Li , Zenglin Xu

Causal inference on time series data is a challenging problem, especially in the presence of unobserved confounders. This work focuses on estimating the causal effect between two time series that are confounded by a third, unobserved time…

Machine Learning · Statistics 2024-11-19 Felix Schur , Jonas Peters

Cortical networks are strongly recurrent, and neurons have intrinsic temporal dynamics. This sets them apart from deep feed-forward networks. Despite the tremendous progress in the application of feed-forward networks and their theoretical…

Disordered Systems and Neural Networks · Physics 2021-07-14 Sandra Nestler , Christian Keup , David Dahmen , Matthieu Gilson , Holger Rauhut , Moritz Helias

We consider forecasting a single time series when there is a large number of predictors and a possible nonlinear effect. The dimensionality was first reduced via a high-dimensional (approximate) factor model implemented by the principal…

Statistics Theory · Mathematics 2015-12-29 Jianqing Fan , Lingzhou Xue , Jiawei Yao

We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the…

Machine Learning · Statistics 2018-06-29 Ruofeng Wen , Kari Torkkola , Balakrishnan Narayanaswamy , Dhruv Madeka

Time series foundation models (TSFMs) have recently achieved strong zero-shot forecasting performance through large-scale pretraining and retrieval-augmented prediction. However, our empirical analysis reveals a non-trivial limitation of…

Machine Learning · Computer Science 2026-05-26 Jinjin Chi , Lei Feng , Lulu Zhang , Yongcheng Jing , Yiming Wang , Ximing Li , Jialie Shen , Leszek Rutkowski , Dacheng Tao

Learning behavioral patterns from observational data has been a de-facto approach to motion forecasting. Yet, the current paradigm suffers from two shortcomings: brittle under distribution shifts and inefficient for knowledge transfer. In…

Machine Learning · Computer Science 2022-04-06 Yuejiang Liu , Riccardo Cadei , Jonas Schweizer , Sherwin Bahmani , Alexandre Alahi

Hierarchical forecasting is a key problem in many practical multivariate forecasting applications - the goal is to simultaneously predict a large number of correlated time series that are arranged in a pre-specified aggregation hierarchy.…

Machine Learning · Computer Science 2021-10-13 Biswajit Paria , Rajat Sen , Amr Ahmed , Abhimanyu Das

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

Statistics Theory · Mathematics 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

This paper tackles one of the most fundamental goals in functional time series analysis which is to provide reliable predictions for future functions. Existing methods for predicting a complete future functional observation use only…

Methodology · Statistics 2022-02-08 Shuhao Jiao , Alexander Aue , Hernando Ombao

Forecast combinations have been widely applied in the last few decades to improve forecasting. Estimating optimal weights that can outperform simple averages is not always an easy task. In recent years, the idea of using time series…

Methodology · Statistics 2021-10-22 Yanfei Kang , Wei Cao , Fotios Petropoulos , Feng Li
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