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Prediction of the result in race walking using regularized regression models

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The following paper presents the use of regularized linear models as tools to optimize training process. The models were calculated by using data collected from race-walkers’ training events. The models used predict the outcomes over a 3 km race and following a prescribed training plan. The material included a total of 122 training patterns made by 21 players. The methods of analysis include: classical model of OLS regression, ridge regression, LASSO regression and elastic net regression. In order to compare and choose the best method a cross-validation of the leave-one-out was used. All models were calculated using R language with additional packages. The best model was determined by the LASSO method which generates an error of about 26 seconds. The methodhas simplified the structure of the model by eliminating 5 out of 18 predictors.
Rocznik
Strony
45--58
Opis fizyczny
Bibliogr. 23 poz., rys., tab.
Twórcy
  • Faculty of Physical Education, University of Rzeszow, Poland
  • Division of Informatics and Control, Rzeszow University of Technology, Poland
Bibliografia
  • [1] Sozański, H.: Directions of training loads optimization (in Polish). Akademia Wychowania Fizycznego, Warszawa, 1992.
  • [2] Ryguła, I.: Tools of the system analysis in the sports-training (in Polish). Akademia Wychowania Fizycznego, Katowice, 2002.
  • [3] Przednowek, K., Iskra, J., Cieszkowski, S.: The use of selected linear models in predicting the results of 400-metre hurdles races. Current research in motor control, 4, 2012.
  • [4] Maszczyk, A., Zając, A., Ryguła, I.: A neural network model approach to athlete selection. Sports Engineering, 13(1), pp. 83–93, 2011.
  • [5] Przednowek, K., Wiktorowicz, K.: Neural system of sport result optimization of athletes doing race walking (in Polish). Metody Informatyki Stosowanej, 29(4), pp. 189–200, 2011.
  • [6] Przednowek, K., Cieszkowski, S., Wiktorowicz, K.: Expert system in sport training (in Polish). Sport Wyczynowy, 538(2), pp. 27–32, 2011.
  • [7] Ryguła, I.: Neural models as tool of sport prediction. Journal of Human Kinetics, 4(1), pp. 133–146, 2000.
  • [8] Ryguła, I.: Artifical Neural Networks As a Tool of Modeling of Training Loads. Proceedings of the 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference, 1(1), pp. 2985–2988, 2005.
  • [9] Maszczyk, A., Roczniok, R., Waśkiewicz, Z., Czuba, M., Mikołajec, K., Zając, A., Stanula, A.: Application of regression and neural models to predict competitive swimming performance. Peceptual and Motor Skills, 114(2), pp. 610–626, 2012.
  • [10] Chatterjee, P., Banerjee, A. K., Das, P., Debnath, P.: A Regression Equation to Predict VO2 Max of Young Football Players of Nepal. International Journal of Applied Sports Sciences, 21(2), pp. 113–121, 2009.
  • [11] Hastie, T., Tibhsirani, R., Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer, New York, 2009.
  • [12] Maddala, G. S.: Introduction to Econometrics. Wiley, Chichester, 2001.
  • [13] Bishop, C. M.: Pattern Recognition and Machine Learning. Springer, New York, 2006.
  • [14] Hoerl, A. E., Kennard, R. W.: Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), pp. 55–67, 1970.
  • [15] Tibshirani, R.: Regression Shrinkage and Selection via the Lasso. Journal of The Royal Statistical Society. Series B (Methodological), 58(1), pp. 267–288, 1996.
  • [16] Efron, B., Hastie, T., Johnstone, I., Tibshirani, R.: Least angle regression (with discussion). The Annals of Statistics, 32(2), pp. 407–499, 2004.
  • [17] Zou, H., Hastie, T.: Regularization and variable selection via the elastic net. Journal of the Royal Statistical Society. Series B (Statistical Methodology), 67(2), pp. 301–320, 2005.
  • [18] Arlot, S., Celisse, A.: A survey of cross-validation procedures for model selection. Statistics Surveys, 4, pp. 40–79, 2010.
  • [19] R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2011.
  • [20] Ripley, B.: Package ’MASS’, 2012. http://cran.r-project.org/web/packages/MASS/MASS.pdf.
  • [21] Zou, H., Hastie, T.: Package ’elasticnet’, 2012. http://cran.r-project.org/web/packages/elasticnet/elasticnet.pdf.
  • [22] Sozański, H.: Foundations of sports training theory (in Polish). Biblioteka Trenera, Warszawa, 1999.
  • [23] Kisiel, K.: Race Walking (in Polish). Biblioteka Trenera, Warszawa, 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9881d269-99ed-49c7-8171-1b98b0d98de5
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