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In this work, we develop multivariate functional singular spectrum analysis (MFSSA) over different dimensional domains which is the functional extension of multivariate singular spectrum analysis (MSSA). In the following, we provide all of…

Methodology · Statistics 2020-06-09 Jordan Trinka , Hossein Haghbin , Mehdi Maadooliat

There are many forecasting related packages in R with varied popularity, the most famous of all being \texttt{forecast}, which implements several important forecasting approaches, such as ARIMA, ETS, TBATS and others. However, the main…

Methodology · Statistics 2023-01-06 Ivan Svetunkov

This paper discusses about an R package that implements the Pattern Sequence based Forecasting (PSF) algorithm, which was developed for univariate time series forecasting. This algorithm has been successfully applied to many different…

Machine Learning · Statistics 2020-05-20 Neeraj Bokde , Gualberto Asencio-Cortés , Francisco Martínez-Álvarez , Kishore Kulat

High-dimensional time series analysis has become increasingly important in fields such as finance, economics, and biology. The two primary tasks for high-dimensional time series analysis are modeling and statistical inference, which aim to…

Computation · Statistics 2024-12-24 Jinyuan Chang , Jing He , Chen Lin , Qiwei Yao

Sometimes, it is of interest to single out the fluctuations associated to a given frequency. We propose a new variant of SSA, Circulant SSA (CiSSA), that allows to extract the signal associated to any frequency specified beforehand. This is…

Signal Processing · Electrical Eng. & Systems 2020-10-02 Juan Bógalo , Pilar Poncela , Eva Senra

Package spar for R builds ensembles of predictive generalized linear models with high-dimensional predictors. It employs an algorithm utilizing variable screening and random projection tools to efficiently handle the computational…

Computation · Statistics 2024-11-28 Roman Parzer , Laura Vana-Gür , Peter Filzmoser

Software analytics (SA) is frequently proposed as a tool to support practitioners in software engineering (SE) tasks. We have observed that several secondary studies on SA have been published. Some of these studies have overlapping aims and…

Software Engineering · Computer Science 2025-09-18 Muhammad Laiq , Nauman bin Ali , Jürgen Börstler , Emelie Engström

Extensions of singular spectrum analysis (SSA) for processing of non-rectangular images and time series with gaps are considered. A circular version is suggested, which allows application of the method to the data given on a circle or on a…

Methodology · Statistics 2015-07-13 Alex Shlemov , Nina Golyandina

We propose a new ensemble prediction method, Random Subset Averaging (RSA), tailored for settings with many covariates, particularly in the presence of strong correlations. RSA constructs candidate models via binomial random subset strategy…

Methodology · Statistics 2025-12-30 Wenhao Cui , Jie Hu

Representational Similarity Analysis (RSA) is a technique developed by neuroscientists for comparing activity patterns of different measurement modalities (e.g., fMRI, electrophysiology, behavior). As a framework, RSA has several advantages…

Computation and Language · Computer Science 2019-09-06 Mostafa Abdou , Artur Kulmizev , Felix Hill , Daniel M. Low , Anders Søgaard

In this paper, we propose two nonparametric methods used in the forecasting of functional time-dependent data, namely functional singular spectrum analysis recurrent forecasting and vector forecasting. Both algorithms utilize the results of…

Machine Learning · Statistics 2021-01-28 Jordan Trinka , Hossein Haghbin , Mehdi Maadooliat

R is a popular language and programming environment for data scientists. It is increasingly co-packaged with both relational and Hadoop-based data platforms and can often be the most dominant computational component in data analytics…

Programming Languages · Computer Science 2017-07-04 Rathijit Sen , Jianqiao Zhu , Jignesh M. Patel , Somesh Jha

In this work the significance of treating a set of measurements as a time series is being explored. Time Series Analysis (TSA) techniques, part of the Exploratory Data Analysis (EDA) approach, can provide much insight regarding the…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Singular Spectrum Analysis (SSA) or Singular Value Decomposition (SVD) are often used to de-noise univariate time series or to study their spectral profile. Both techniques rely on the eigendecomposition of the cor- relation matrix…

Signal Processing · Electrical Eng. & Systems 2018-07-30 A. M. Tomé , D. Malafaia , A. R. Teixeira , E. W. Lang

We introduce Multivariate Circulant Singular Spectrum Analysis (M-CiSSA) to provide a comprehensive framework to analyze fluctuations, extracting the underlying components of a set of time series, disentangling their sources of variation…

Signal Processing · Electrical Eng. & Systems 2023-08-24 Juan Bógalo , Pilar Poncela , Eva Senra

In this paper, the method of Singular Spectrum Analysis (SSA) is applied for investigation of the zenith troposphere delay time-series derived from VLBI observations. With the help of this method we can analyze the structure of time-series…

Geophysics · Physics 2009-11-19 Natalia Miller , Zinovy Malkin

I give in this lecture an overview of the features of the Mathematica package SARAH, and explain how it can be used together with other codes to study all aspects of a BSM model. The focus will be on the description of the analytical…

High Energy Physics - Phenomenology · Physics 2016-03-21 Florian Staub

In this article, we propose a combination of an noise-reduction algorithm based on Singular Spectrum Analysis (SSA) and a standard feedforward neural prediction model. Basically, the proposed algorithm consists of two different steps: data…

Neural and Evolutionary Computing · Computer Science 2014-10-07 Yulia S. Maslennikova , Vladimir V. Bochkarev

The Simple Spectral Access (SSA) Protocol (SSAP) defines a uniform interface to remotely discover and access one dimensional spectra. SSA is a member of an integrated family of data access interfaces altogether comprising the Data Access…

A wealth of epidemiological data suggests an association between mortality/morbidity from pulmonary and cardiovascular adverse events and air pollution, but uncertainty remains as to the extent implied by those associations although the…

Applications · Statistics 2008-06-16 Massimo Bilancia , Girolamo Stea