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Recurrence quantification analysis is a widely used method for characterizing patterns in time series. This article presents a comprehensive survey for conducting a wide range of recurrence-based analyses to quantify the dynamical structure…

Data Analysis, Statistics and Probability · Physics 2023-03-30 Moreno I. Coco , Dan Mønster , Giuseppe Leonardi , Rick Dale , Sebastian Wallot

Time series data is being used everywhere, from sales records to patients' health evolution metrics. The ability to deal with this data has become a necessity, and time series analysis and forecasting are used for the same. Every Machine…

Machine Learning · Computer Science 2022-11-29 Rameshwar Garg , Shriya Barpanda , Girish Rao Salanke N S , Ramya S

The sparse group lasso is a high-dimensional regression technique that is useful for problems whose predictors have a naturally grouped structure and where sparsity is encouraged at both the group and individual predictor level. In this…

cissa() is a MATLAB function for signal extraction by Circulant Singular Spectrum Analysis, a procedure proposed in Bogalo et al (2021). cissa() extracts the underlying signals in a time series identifying their frequency of oscillation in…

Computation · Statistics 2021-02-04 Juan Bógalo , Pilar Poncela , Eva Senra

Spectral type recognition is an important and fundamental step of large sky survey projects in the data reduction for further scientific research, like parameter measurement and statistic work. It tends out to be a huge job to manually…

Instrumentation and Methods for Astrophysics · Physics 2014-04-25 Hailong Yuan , Haotong Zhang , Yanxia Zhang , Yajuan Lei , Yiqiao Dong , Yongheng Zhao

Current and future continuum surveys being undertaken by the new generation of radio telescopes are now poised to address many important science questions, ranging from the earliest galaxies, to the physics of nearby AGN, as well as…

Instrumentation and Methods for Astrophysics · Physics 2016-04-25 Jeremy J. Harwood , Raffaella Morganti

A key step in separating signal from noise in time series by means of singular spectrum analysis (SSA) is grouping. We present a multiple testing method for the grouping step in SSA. As separability criterion, we utilize the weighted…

Methodology · Statistics 2025-08-26 Maryam Movahedifar , Friederike Preusse , Anna Vesely , Thorsten Dickhaus

Background and objective: Stacking is an ensemble machine learning method that averages predictions from multiple other algorithms, such as generalized linear models and regression trees. An implementation of stacking, called super…

Machine Learning · Statistics 2019-08-01 Alexander P. Keil , Daniel Westreich , Jessie K Edwards , Stephen R Cole

I introduce Forecastable Component Analysis (ForeCA), a novel dimension reduction technique for temporally dependent signals. Based on a new forecastability measure, ForeCA finds an optimal transformation to separate a multivariate time…

Methodology · Statistics 2013-05-07 Georg M. Goerg

Many businesses and industries require accurate forecasts for weekly time series nowadays. However, the forecasting literature does not currently provide easy-to-use, automatic, reproducible and accurate approaches dedicated to this task.…

Machine Learning · Computer Science 2023-12-05 Rakshitha Godahewa , Christoph Bergmeir , Geoffrey I. Webb , Pablo Montero-Manso

We present a technique for spatiotemporal data analysis called nonlinear Laplacian spectral analysis (NLSA), which generalizes singular spectrum analysis (SSA) to take into account the nonlinear manifold structure of complex data sets. The…

Data Analysis, Statistics and Probability · Physics 2012-07-18 Dimitrios Giannakis , Andrew J. Majda

We propose an algorithm to impute and forecast a time series by transforming the observed time series into a matrix, utilizing matrix estimation to recover missing values and de-noise observed entries, and performing linear regression to…

Machine Learning · Computer Science 2019-04-29 Anish Agarwal , Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

This paper introduces an R package ForecastTB that can be used to compare the accuracy of different forecasting methods as related to the characteristics of a time series dataset. The ForecastTB is a plug-and-play structured module, and…

Methodology · Statistics 2020-07-22 Neeraj Dhanraj Bokde , Zaher Mundher Yaseen , Gorm Bruun Andersen

Evaluating forecasts is essential to understand and improve forecasting and make forecasts useful to decision makers. A variety of R packages provide a broad variety of scoring rules, visualisations and diagnostic tools. One particular…

Methodology · Statistics 2024-11-04 Nikos I. Bosse , Hugo Gruson , Anne Cori , Edwin van Leeuwen , Sebastian Funk , Sam Abbott

Factor-based forecasting using Principal Component Analysis (PCA) is an effective machine learning tool for dimension reduction with many applications in statistics, economics, and finance. This paper introduces a Supervised Screening and…

Econometrics · Economics 2025-02-24 Sihan Tu , Zhaoxing Gao

The explosion of Time Series (TS) data, driven by advancements in technology, necessitates sophisticated analytical methods. Modern management systems increasingly rely on analyzing this data, highlighting the importance of effcient…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang

Hyperspectral remote sensing is a promising tool for a variety of applications including ecology, geology, analytical chemistry and medical research. This article presents the new \hsdar package for R statistical software, which performs a…

Other Statistics · Statistics 2019-05-28 Lukas W. Lehnert , Hanna Meyer , Wolfgang A. Obermeier , Brenner Silva , Bianca Regeling , Jörg Bendix

Sparse Principal Component Analysis (SPCA) and Sparse Linear Regression (SLR) have a wide range of applications and have attracted a tremendous amount of attention in the last two decades as canonical examples of statistical problems in…

Statistics Theory · Mathematics 2018-11-27 Guy Bresler , Sung Min Park , Madalina Persu

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

Forecasting entails a complex estimation challenge, as it requires balancing multiple, often conflicting, priorities and objectives. Traditional forecast optimization criteria typically focus on a single metric -- such as minimizing the…

Econometrics · Economics 2026-01-13 Marc Wildi