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      Statistical and Machine Learning forecasting methods: Concerns and ways forward

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          Abstract

          Machine Learning (ML) methods have been proposed in the academic literature as alternatives to statistical ones for time series forecasting. Yet, scant evidence is available about their relative performance in terms of accuracy and computational requirements. The purpose of this paper is to evaluate such performance across multiple forecasting horizons using a large subset of 1045 monthly time series used in the M3 Competition. After comparing the post-sample accuracy of popular ML methods with that of eight traditional statistical ones, we found that the former are dominated across both accuracy measures used and for all forecasting horizons examined. Moreover, we observed that their computational requirements are considerably greater than those of statistical methods. The paper discusses the results, explains why the accuracy of ML models is below that of statistical ones and proposes some possible ways forward. The empirical results found in our research stress the need for objective and unbiased ways to test the performance of forecasting methods that can be achieved through sizable and open competitions allowing meaningful comparisons and definite conclusions.

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          Bayesian Interpolation

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            A survey of deep neural network architectures and their applications

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              A scaled conjugate gradient algorithm for fast supervised learning

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                Author and article information

                Contributors
                Role: ConceptualizationRole: Data curationRole: Formal analysisRole: Funding acquisitionRole: InvestigationRole: MethodologyRole: SupervisionRole: ValidationRole: VisualizationRole: Writing – original draft
                Role: ConceptualizationRole: Data curationRole: Formal analysisRole: InvestigationRole: MethodologyRole: SoftwareRole: SupervisionRole: ValidationRole: VisualizationRole: Writing – original draft
                Role: ConceptualizationRole: Data curationRole: Formal analysisRole: InvestigationRole: MethodologyRole: SupervisionRole: ValidationRole: VisualizationRole: Writing – original draft
                Role: Editor
                Journal
                PLoS One
                PLoS ONE
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                2018
                27 March 2018
                : 13
                : 3
                : e0194889
                Affiliations
                [1 ] Institute For the Future (IFF), University of Nicosia, Nicosia, Cyprus
                [2 ] Forecasting and Strategy Unit, School of Electrical and Computer Engineering, National Technical University of Athens, Zografou, Greece
                Universidad Veracruzana, MEXICO
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                Author information
                http://orcid.org/0000-0002-1854-1206
                Article
                PONE-D-17-43154
                10.1371/journal.pone.0194889
                5870978
                29584784
                0183aac4-58ec-404e-bde4-ff2749316c38
                © 2018 Makridakis et al

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 9 December 2017
                : 12 March 2018
                Page count
                Figures: 4, Tables: 10, Pages: 26
                Funding
                The author(s) received no specific funding for this work.
                Categories
                Research Article
                Research and Analysis Methods
                Mathematical and Statistical Techniques
                Statistical Methods
                Forecasting
                Physical Sciences
                Mathematics
                Statistics (Mathematics)
                Statistical Methods
                Forecasting
                Research and Analysis Methods
                Mathematical and Statistical Techniques
                Statistical Methods
                Physical Sciences
                Mathematics
                Statistics (Mathematics)
                Statistical Methods
                Computer and Information Sciences
                Software Engineering
                Preprocessing
                Engineering and Technology
                Software Engineering
                Preprocessing
                Physical Sciences
                Mathematics
                Applied Mathematics
                Algorithms
                Research and Analysis Methods
                Simulation and Modeling
                Algorithms
                Computer and Information Sciences
                Neural Networks
                Biology and Life Sciences
                Neuroscience
                Neural Networks
                Computer and Information Sciences
                Computing Methods
                Computer and Information Sciences
                Artificial Intelligence
                Machine Learning
                Support Vector Machines
                Physical Sciences
                Mathematics
                Optimization
                Custom metadata
                All data are available online at https://forecasters.org/resources/time-series-data/m3-competition/.

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                Uncategorized

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