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Stochastic approximation (SA) that involves multiple coupled sequences, known as multiple-sequence SA (MSSA), finds diverse applications in the fields of signal processing and machine learning. However, existing theoretical understandings…

Machine Learning · Computer Science 2024-10-18 Yue Huang , Zhaoxian Wu , Shiqian Ma , Qing Ling

Sequential Recommender Systems (SRSs) have emerged as a highly efficient approach to recommendation systems. By leveraging sequential data, SRSs can identify temporal patterns in user behaviour, significantly improving recommendation…

Forecasters often use common information and hence make common mistakes. We propose a new approach, Factor Graphical Model (FGM), to forecast combinations that separates idiosyncratic forecast errors from the common errors. FGM exploits the…

Econometrics · Economics 2021-05-19 Tae-Hwy Lee , Ekaterina Seregina

We aim to develop a time series modeling methodology tailored to high-dimensional environments, addressing two critical challenges: variable selection from a large pool of candidates, and the detection of structural break points, where the…

Econometrics · Economics 2025-04-15 Angelo Milfont , Alvaro Veiga

The problem of forecasting the whole 24 profile of the Italian electric load is addressed as a multitask learning problem, whose complexity is kept under control via alternative regularization methods. In view of the quarter-hourly…

Signal Processing · Electrical Eng. & Systems 2022-01-02 Alessandro Incremona , Giuseppe De Nicolao

Combining forecast from different models has shown to perform better than single forecast in most time series. To improve the quality of forecast we can go for combining forecast. We study the effect of decomposing a series into multiple…

Applications · Statistics 2013-03-04 Manisha Gahirwal

The standard approach for studying the periodic ARMA model with coefficients that vary over the seasons is to express it in a vector form. In this paper we introduce an alternative method which views the periodic formulation as a time…

Methodology · Statistics 2014-03-20 Menelaos Karanasos , Alexandros Paraskevopoulos , Stavros Dafnos

In this paper, we propose an adaptive group lasso procedure to efficiently estimate structural breaks in cointegrating regressions. It is well-known that the group lasso estimator is not simultaneously estimation consistent and model…

Econometrics · Economics 2021-04-21 Karsten Schweikert

We propose a new method for decomposing seasonal data: STR (a Seasonal-Trend decomposition using Regression). Unlike other decomposition methods, STR allows for multiple seasonal and cyclic components, covariates, seasonal patterns that may…

Methodology · Statistics 2021-07-02 Alexander Dokumentov , Rob J. Hyndman

In this paper, we consider detecting and estimating breaks in heterogeneous mean functions of high-dimensional functional time series which are allowed to be cross-sectionally correlated and temporally dependent. A new test statistic…

Methodology · Statistics 2023-04-17 Degui Li , Runze Li , Han Lin Shang

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

It has been observed that the performances of many high-dimensional estimation problems are universal with respect to underlying sensing (or design) matrices. Specifically, matrices with markedly different constructions seem to achieve…

Information Theory · Computer Science 2023-07-24 Rishabh Dudeja , Subhabrata Sen , Yue M. Lu

This paper shows that sequential statistical analysis techniques can be generalised to the problem of selecting between alternative forecasting methods using scoring rules. A return to basic principles is necessary in order to show that…

Statistics Theory · Mathematics 2025-05-15 David T. Frazier , Donald S. Poskitt

In the current context of Big Data, the nature of many forecasting problems has changed from predicting isolated time series to predicting many time series from similar sources. This has opened up the opportunity to develop competitive…

Machine Learning · Computer Science 2021-03-23 Hansika Hewamalage , Christoph Bergmeir , Kasun Bandara

Time Series forecasting is critical in diverse domains such as weather forecasting, financial investment, and traffic management. While traditional numerical metrics like mean squared error (MSE) can quantify point-wise accuracy, they fail…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Mingyang Yu , Xiahui Guo , Peng chen , Zhenkai Li , Yang Shu

As a result of the greater availability of big data, as well as the decreasing costs and increasing power of modern computing, the use of artificial neural networks for financial time series forecasting is once again a major topic of…

Machine Learning · Statistics 2021-04-21 Adam Balusik , Jared de Magalhaes , Rendani Mbuvha

For short-term solar irradiance forecasting, the traditional point forecasting methods are rendered less useful due to the non-stationary characteristic of solar power. The amount of operating reserves required to maintain reliable…

Machine Learning · Computer Science 2023-08-02 Sakshi Mishra , Praveen Palanisamy

Machine learning-based weather forecasting models now surpass state-of-the-art numerical weather prediction systems, but training and operating these models at high spatial resolution remains computationally expensive. We present a modular…

Machine Learning · Computer Science 2026-04-02 Aymeric Delefosse , Anastase Charantonis , Dominique Béréziat

Accurate short-term energy consumption forecasting is essential for efficient power grid management, resource allocation, and market stability. Traditional time-series models often fail to capture the complex, non-linear dependencies and…

Computers and Society · Computer Science 2026-01-27 Abhishek Maity , Viraj Tukarul

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams