MODELING ACADEMIC PRODUCTIVITY USING ZERO-INFLATION AND MACHINE LEARNING METHODS FOR COUNT DATA
Keywords:
Zero-Inflation Models (ZIM), Machine Learning Algorithms, XGBoost, Random Forest, Neural NetworkAbstract
This research aims to investigate statistical models and machine learning techniques used to analyze numerical data suffering from overdispersion and a high proportion of excess zeros, common features in many fields such as insurance, healthcare, and the environment. In this study, we explore predictive modeling techniques for analyzing scientific productivity, measured by the number of articles published among biochemists. This study aims to evaluate and compare the predictive performance of classical zero-inflated regression models and modern machine learning algorithms in statistical data modeling, using academic productivity (number of published articles) as the main outcome variable. The dataset exhibits typical statistical data characteristics, including overdispersion and an excess of zeros. Therefore, several statistical models were considered, such as Poisson (POS), negative binomial (NB), zero-inflated Poisson (ZIP) and zero-inflated negative binomial (ZINB). As well, a collection of machine learning algorithms helps the use of the vector machines (SVMs), neural networks (NNs), random forests (RFs), and XGBoost were used to compare them. A number of evaluation metrics were used to assess the model performance:Root Mean Square Error (RMSE),Mean Absolute Error (MAE), R 2,Akaike Information Criterion (AIC)Bayesian Information Criterion (BIC).Log Likelihood (LogLik),Dispersion Index.The results showed that while traditional models such as ZINB and NB effectively handled overdispersion and excess zeros, Random Forest outperformed all models in terms of prediction accuracy, achieving the lowest RMSE and MAE values. SVM and ZIP followed with average performance, while XGBoost and NN showed relatively higher error rates without tuning.The results indicate that while statistical models remain valuable for their interpretability and clear handling of data characteristics, tree-based machine learning models, such as Random Forest, offer superior prediction performance for count data when prioritizing model accuracy.
References
W. Shankar, V.; Mannering, F.; Barfield, Effect of roadway geometrics and environmental factors on rural freeway accident frequencies. 1995.
S. M. Mwalili, E. Lesaffre, and D. Declerck, “The zero-inflated negative binomial regression model with correction for misclassification: An example in caries research,” Statistical Methods in Medical Research, vol. 17, no. 2, pp. 123–139, 2008, doi: 10.1177/0962280206071840.
A. Araldi, A. Venerandi, and G. Fusco, “Count Regression and Machine Learning Approach for Zero-Inflated Over-Dispersed Count Data. Application to Micro-Retail Distribution and Urban Form,” Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12252 LNCS, pp. 550–565, 2020, doi: 10.1007/978-3-030-58811-3_40.
A. A. Ibrahim, R. L. Ridwan, M. M. Muhammed, R. O. Abdulaziz, and G. A. Saheed, “Comparison of the CatBoost Classifier with other Machine Learning Methods,” International Journal of Advanced Computer Science and Applications, vol. 11, no. 11, pp. 738–748, 2020, doi: 10.14569/IJACSA.2020.0111190.
M. Arora, Y. Kalyani, and S. Shanker, “A comparative study on inflated and dispersed count data,” Proceedings of the 10th International Conference on Data Science, Technology and Applications, DATA 2021, no. Data, pp. 29–38, 2021, doi: 10.5220/0010547700290038.
I. N. El-Saeiti and G. Alomair, “Comparative Evaluation of Zero-Inflated and Hurdle Models for Balanced and Unbalanced Data: Performance Assessment and Model Fit Analysis,” European Journal of Science, Innovation and Technology, vol. 3, no. 1, p. 207, 2023, [Online]. Available: www.ejsit-journal.com.
Y. Gu, “Dispersion Modeling in Zero-inflated Tweedie Models with Applications to Insurance Claim Data Analysis,” pp. 1–24, 2024, [Online]. Available: https://arxiv.org/abs/2405.14990v1.
B. Sidumo, E. Sonono, and I. Takaidza, “Count Regression and Machine Learning Techniques for Zero-Inflated Overdispersed Count Data: Application to Ecological Data,” Annals of Data Science, vol. 11, no. 3, pp. 803–817, 2024, doi: 10.1007/s40745-023-00464-6.
B. So and E. A. Valdez, “Zero-Inflated Tweedie Boosted Trees with CatBoost for Insurance Loss Analytics,” no. June, 2024, doi: 10.1016/j.asoc.2025.113226.
B. So, “Enhanced gradient boosting for zero-inflated insurance claims and comparative analysis of CatBoost, XGBoost, and LightGBM,” Scandinavian Actuarial Journal, no. June, 2024, doi: 10.1080/03461238.2024.2365390.
M. Martinović, K. Dokic, and D. Pudić, “Comparative Analysis of Machine Learning Models for Predicting Innovation Outcomes: An Applied AI Approach,” Applied Sciences (Switzerland), vol. 15, no. 7, pp. 1–44, 2025, doi: 10.3390/app15073636.
Hilbe JM, “Negative binomial regression.,” Cambridge University Press, Cambridge. https://doi. org/CBO9780511973420, vol. 10, no. 1017, 2011.
W. N. et al Zuur AF, Ieno EN, “Mixed effects models and extensions,” in ecology with R. Springer, Berlin, 2009.
S. Nakagawa, P. C. D. Johnson, and H. Schielzeth, “The coefficient of determination R2 and intra-class correlation coefficient from generalized linear mixed-effects models revisited and expanded,” Journal of the Royal Society Interface, vol. 14, no. 134, 2017, doi: 10.1098/rsif.2017.0213.
A. Zeileis, C. Kleiber, and S. Jackman, “Regression models for count data in R,” Journal of Statistical Software, vol. 27, no. 8, pp. 1–25, 2008, doi: 10.18637/jss.v027.i08.
P. K. Dunn and G. K. Smyth, Generalized Linear Models With Examples in R, https://link.springer.com/book/10.1007/978-1-4419-0118-7. 2018.
D. Cahoy, E. Di Nardo, and F. Polito, “Flexible models for overdispersed and underdispersed count data,” Statistical Papers, vol. 62, no. 6, pp. 2969–2990, 2021, doi: 10.1007/s00362-021-01222-7.
. Miaou, S.P., Song, J.J., “Bayesian ranking of sites for engineering safety improvements: decision parameter, treatability concept, statistical criterion and spatial dependence.,” Accident Analysis and Prevention, vol. 37, no. 4, pp. 699–720., 2005.
PRATHYUSHA VANGALA, “NEGATIVE BINOMIAL-GENERALIZED EXPONENTIAL DISTRIBUTION: GENERALIZED LINEAR MODEL AND ITS APPLICATIONS,” 2015.
T. Loeys, B. Moerkerke, O. de Smet, and A. Buysse, “The analysis of zero-inflated count data: Beyond zero-inflated Poisson regression,” British Journal of Mathematical and Statistical Psychology, vol. 65, no. 1, pp. 163–180, 2012, doi: 10.1111/j.2044-8317.2011.02031.x.
Seyed Ehsan Saffari and Robiah Adnan, “Zero-Inflated Negative Binomial Regression Model with Right Censoring Count Data,” Journal of Materials Science and Engineering B, vol. 1, no. 9, 2011, doi: 10.17265/2161-6221/2011.09.020.
D. Kokotsaki, V. Menzies, and A. Wiggins, “Durham Research Online Woodlands,” Critical Studies on Security, vol. 2, no. 2, pp. 210–222, 2014, doi: 10.1002/bimj.200100000.
R. Fitriani, L. N. Chrisdiana, and A. Efendi, “Simulation on the Zero Inflated Negative Binomial (ZINB) to Model Overdispersed, Poisson Distributed Data,” IOP Conference Series: Materials Science and Engineering, vol. 546, no. 5, 2019, doi: 10.1088/1757-899X/546/5/052025.
L. . K. Rahayu, Overdispersi Pada Regresi Poisson dan Zero Inflated Poisson untuk Beberapa Karakteristk Data., : : Bogor Se. 2014.
L. Breiman, “Random Forests.,” Machine Learning, vol. 45, no. 1, pp. 5–32.
F. Paquin, J. Rivnay, A. Salleo, N. Stingelin, and C. Silva, “Multi-phase semicrystalline microstructures drive exciton dissociation in neat plastic semiconductors,” J. Mater. Chem. C, vol. 3, no. May, pp. 10715–10722, 2015, doi: 10.1039/b000000x.
D. Amit, Y., Geman, “Shape quantization and recognition with randomized trees.,” Neural Computation 9(7) pp., vol. 9, no. 7, pp. 1545–1588, 1997.
L. Breiman, “Bagging Predictors,” Machine Learning, vol. 24, no. 2, pp. 123–140, 2001.
A. Cutler, D. R. Cutler, and J. R. Stevens, “Ensemble Machine Learning,” Ensemble Machine Learning, no. January, 2012, doi: 10.1007/978-1-4419-9326-7.
A. Cutler, D. R. Cutler, and J. R. Stevens, “Ensemble Machine Learning,” Ensemble Machine Learning, no. February 2014, 2012, doi: 10.1007/978-1-4419-9326-7.
R. Hastie, T., James, G., Witten, D., & Tibshirani, An introduction to statistical learning. 2013.
and R. T. James, Gareth, Daniela Witten, Trevor Hastie, An Introduction to Statistical Learning: With Applications in R. Springer Publishing Company, Incorporated. 2014.
A. Kassambara, “Machine Learning Essentials. Practical Guide in R.,” Sthda. p. 210, 2017, [Online]. Available: https://www.m-culture.go.th/mculture_th/download/king9/Glossary_about_HM_King_Bhumibol_Adulyadej’s_Funeral.pdf.
M. Warner, B. & Misra, “Understanding Neural Networks as Statistical Tools.,” Am Stat, vol. 50, no. 4, pp. 284–293, 1996.
B. Warner, “Understanding Neural Networks as Statistical Tools 1,” 1996.
WILLIAM ARTHUR LINDBLAD, “A COMPARISON OF THE PREDICTIVE ACCURACY OF LASSO REGRESSION AND NEURAL NETWORK MODELS, INTERNALLY AND EXTERNALLY VALIDATED USING SIMULATED DATA,” 2017.
L. M. Figueiredo, “An Overview of the main Machine Learning Models From Theory to Algorithms,” 2020.
S. Haykin, Neural Networks and Learning Machines Pearson Education. 2009.
O. F.Y, A. J.E.T, A. O, H. J. O, O. O, and A. J, “Supervised Machine Learning Algorithms: Classification and Comparison,” International Journal of Computer Trends and Technology, vol. 48, no. 3, pp. 128–138, 2017, doi: 10.14445/22312803/ijctt-v48p126.
V. N. Vapnik, “The Nature of Statistical Learning Theory.,” (2nd ed.). Springer Verlag. Pp. Retrieved from website: https://www.andrew.cmu.edu/user/kk3n/simplicity/vapnik2 000.pdf, pp. 1 – 20, 1995.
S. B. Kotsiantis, “Supervised Machine Learning,” A Review of Classification Techniques. Informatica . Retrieved from IJS website: http://wen.ijs.si/ojs- 2.4.3/index.php/informatica/article/download/148/140., vol. 31, no. 10, pp. 249 – 268, 2007.
A. Karatzoglou, D. Meyer, and K. Hornik, “Support Vector Algorithm in R,” Journal of Statistical Software, vol. 15, no. 9, pp. 1–28, 2006.
W. R. Lin CJ, ““,” Probabilistic Predictions for Support Vector Regression.” URL http://www.csie.ntu.edu.tw/~cjlin/papers/svrprob.pdf, 2004. .
J. Lanford, T. Nykodym, A. Rao, and A. Wang, “Generalized Linear Modeling with H2O’s R Package,” no. February, 2021.
P. Cahusac, “Log Likelihood Ratios for Common Statistical Tests Using the likelihoodR Package,” R Journal, vol. 14, no. 3, pp. 203–212, 2022, doi: 10.32614/RJ-2022-051.
W. E. Strawderman, “Likelihood Ratio Tests,” Wiley StatsRef: Statistics Reference Online, pp. 1–2, 2014, doi: 10.1002/9781118445112.stat01645.
A. Agresti, Analyzing Contingency Tables. 2019.
Z. M. Simon Jackman, Alex Tahk, Achim Zeileis, Christina Maimone, James Fearon, Package ‘ pscl ’: Political Science Computational Laboratory. 2022.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Kyzylorda Scholarly Review

This work is licensed under a Creative Commons Attribution 4.0 International License.
CC BY
This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. CC BY includes the following elements:
BY: credit must be given to the creator.