Al-Bahir Journal for Engineering and Pure Sciences
Abstract
This research delineates the advancement of a refined predictive algorithm centered on the Generalized Least Deviation Method (GLDM) specifically configured for analyzing COVID-19 infection trends in Dagestan using univariate time series data. Our methodology is characterized by its enhancement of forecast precision through diligent minimization of a bespoke loss function. The algorithm’s innovation lies in its formulation, incorporating second-order relationships within the time series data: where are the computed weights ascribed to historical data, and denotes the error component. Our empirical analysis substantiates that by strategically accentuating pertinent coefficients and optimizing the loss function, there is a significant elevation in the model’s forecasting accuracy. Consequently, the refined second-order GLDM model emerges as an advanced and applicable instrument for the prognostication of COVID-19 infection cases in Dagestan.
Recommended Citation
Abotaleb, Mostafa; Makarovskikh, Tatiana; Mijwil, Maad M.; and Ali J, Ramadhan
(2024)
"Enhancing COVID-19 Forecasting in Dagestan with Quasi-linear Recurrence Equations by using GLDM Algorithm,"
Al-Bahir Journal for Engineering and Pure Sciences: Vol. 5:
Iss.
2, Article 5.
Available at: https://doi.org/10.55810/2313-0083.1075
References
[1] Mehmood Q, Sial MH, Riaz M, Shaheen N. Forecasting the production of sugarcane in Pakistan for the year 2018-2030, using Box-Jenkin's methodology. Lahore, Pakistan: Pakistan Agricultural Scientists Forum; 2019. ISSN (Print): 1018-7081. CABI Record Number: 20193511953. Language: English, http://www.thejaps.org.pk/docs/v-29-05/21.pdf.
[2] Jamil R. Hydroelectricity consumption forecast for Pakistan using aroma modeling and supply-demand analysis for the year 2030. Renew Energy 2020;154:1e10.
[3] Selvaraj JJ, Arunachalam V, Coronado-Franco KV, RomeroOrjuela LV, Ramõrez-Yara YN. Time-series modeling of fishery landings in the colombian pacific ocean using an arima model. Reg Stud Mar Sci 2020;39:101477.
[4] Wang M. Short-term forecast of pig price index on an agricultural internet platform. Agribusiness 2019;35(3):492e7.
[5] Petropoulos F, Spiliotis E, Panagiotelis A. Model combinations through revised base rates. Int J Forecast 2023;39(3): 1477e92.
[6] Wegmüller P, Glocker C. Us weekly economic index: replication and extension. J Appl Econom 2023;38(6):977e85.
[7] Kufel T. Arima-based forecasting of the dynamics of confirmed covid-19 cases for selected European countries. Equilibrium Q J Econ Policy 2020;15(2):181e204.
[8] Guizzardi A, Pons FME, Angelini G, Ranieri E. Big data from dynamic pricing: a smart approach to tourism demand forecasting. Int J Forecast 2021;37(3):1049e60.
[9] Garcõa JR, Pacce M, Rodrigo T, Aguirre PR, Ulloa CA. Measuring and forecasting retail trade in real time using card transactional data. Int J Forecast 2021;37(3):1235e46.
[10] Katris C, Kavussanos MG. Time series forecasting methods for the baltic dry index. J Forecast 2021;40(8):1540e65.
[11] Salinas D, Flunkert V, Gasthaus J, Januschowski T. Deepar: probabilistic forecasting with autoregressive recurrent networks. Int J Forecast 2020;36(3):1181e91.
[12] Huber J, Stuckenschmidt H. Daily retail demand forecasting using machine learning with emphasis on calendric special days. Int J Forecast 2020;36(4):1420e38.
[13] Li Y, Bu H, Li J, Wu J. The role of text-extracted investor sentiment in Chinese stock price prediction with the enhancement of deep learning. Int J Forecast 2020;36(4):1541e62.
[14] Smyl S, Hua NG. Machine learning methods for gefcom2017 probabilistic load forecasting. Int J Forecast 2019;35(4): 1424e31.
[15] Chen W, Xu H, Jia L, Gao Y. Machine learning model for bitcoin exchange rate prediction using economic and technology determinants. Int J Forecast 2021;37(1):28e43.
[16] Calvo-Pardo H, Mancini T, Olmo J. Granger causality detection in highdimensional systems using feedforward neural networks. Int J Forecast 2021;37(2):920e40.
[17] Panyukov A, Tyrsin A. 350. stable parametric identification of vibratory diagnostics objects. J Vibroeng 2008;10(2).
[18] Tyrsin A. Robust construction of regression models based on the generalized least absolute deviations method. J Math Sci 2006;139:6634e42.
[19] Makarovskikh T, Abotaleb M. Comparison between two systems for forecasting covid-19 infected cases. In: Computer science protecting human society against epidemics: first IFIP TC 5 international conference, ANTICOVID 2021, virtual event, June 28e29, 2021, revised selected papers 1. Springer; 2021. p. 107e14.
[20] Ponce M, Sandhel A. Covid19. analytics: an R package to obtain, analyze and visualize data from the coronavirus disease pandemic. 2020. arXiv preprint arXiv:2009.01091.
[21] Panchal R, Kumar B. Forecasting industrial electric power consumption using regression based predictive model. In: Recent trends in communication and electronics. CRC Press; 2021. p. 135e9.
[22] Yakubova D. Econometric models of development and forecasting of black metallurgy of Uzbekistan. Asian J Multidim Res 2019;8(5):310e4.
[23] Panyukov A, Makarovskikh T, Abotaleb M. Forecasting with using quasilinear recurrence equation. In: International conference on optimization and applications. Springer; 2022. p. 183e95.
[24] Makarovskikh T, Panyukov A, Abotaleb M. Using general least deviations method for forecasting of crops yields. In: International conference on mathematical optimization theory and operations research. Springer; 2023. p. 376e90.
[25] Panyukov AV, Mezaal YA. Stable estimation of autoregressive model parameters with exogenous variables on the basis of the generalized least absolute deviation method. IFAC-PapersOnLine 2018;51(11):1666e9. AL-BAHIR JOURNAL FOR ENGINEERING AND PURE SCIENCES 2024;5:127e134 133
[26] Panyukov AV, Mezaal YA. Improving of the identification algorithm for a quasilinear recurrence equation. In: Advances in optimization and applications: 11th international conference, OPTIMA 2020, Moscow, Russia, September 28eOctober 2, 2020, Revised selected papers 11. Springer; 2020. p. 15e26.
[27] Abotaleb M. Soft computing-based Generalized Least Deviation Method algorithm for modeling and forecasting COVID-19 using quasilinear recurrence equations. Iraqi J Compu Sci Math 2024;5(3):441e72. https://doi.org/10.52866/ ijcsm.2024.05.03.028.
[28] Abotaleb M. Solving the optimizing parameters problem for non-linear datasets using the high-order General Least Deviations Method (GLDM) algorithm. Comput Methods Differ Equat 2024. https://doi.org/10.22034/cmde.2024.62441.2751.
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