Research Article
Volume 3 Issue 12 - 2020
Low Classification Accuracy by Logistic Regression, Support Vector Classifier, and Multi-Layer Perceptron, But Not Decision Tree, on Random Attributes from Hadamard Matrix
Maurice HT Ling*
HOHY PTE LTD, Singapore
*Corresponding Author: Maurice HT Ling, HOHY PTE LTD, Singapore..
Received: October 16, 2020; Published: November 28, 2020


The use of machine learning classifiers is increasing with evidence of overtaking human judgement. This can be risky if workings and implications of machine learning classifiers remain a black box. Here, a case where a balanced and algorithmically generated data set, Hadamard matrix, classifies poorer than random using logistic regression (accuracy < 17.4%), support vector classifier (accuracy < 23.4%) and in most cases of multi-layer perceptron (accuracy < 27.9%) but not in decision tree (accuracy > 77.3%); despite perfect (100%) internal classification accuracy for both support vector classifier and multi-layer perceptron; is reported. This suggests a systematic and yet currently unexplained source of error.

Keywords: Logistic Regression; Hadamard Matrix; Vector Classifier; Multi-Layer Perceptron; Support Vector Classifier


  1. Schmidt J., et al. “Recent Advances and Applications of Machine Learning in Solid-State Materials Science”. NPJ Computational Materials 1 (2019): 83.
  2. Gerlein EA., et al. “Evaluating Machine Learning Classification for Financial Trading: An Empirical Approach”. Expert Systems with Applications 54 (2016): 193-207.
  3. Aljaaf AJ., et al. “Applied Machine Learning Classifiers for Medical Applications: Clarifying the Behavioural Patterns Using A Variety of Datasets”. In: 2015 International Conference on Systems, Signals and Image Processing (IWSSIP). London, United Kingdom: IEEE (2015): 228-232.
  4. Vestby A and Vestby J. “Machine Learning and the Police: Asking the Right Questions”. Policing An International Journal of Police (2019): paz035.
  5. Merkert J., et al. “A Survey of the Application of Machine Learning in Decision Support Systems. In: 23rd European Conference on Information Systems (ECIS 2015). University of Münster, Münster, Germany (2015): 133.
  6. Stiglic G., et al. “Interpretability of Machine Learning‐Based Prediction Models in Healthcare”. WIREs Data Mining and Knowledge Discovery 5 (2010): e1379.
  7. Logg JM. “Theory of Machine: When Do People Rely On Algorithms?” Harvard Business School (2017).
  8. Logg JM., et al. “Algorithm Appreciation: People Prefer Algorithmic to Human Judgment”. Organizational Behavior and Human Decision Processes 151 (2019): 90-103.
  9. Grissinger M. “Understanding Human Over-Reliance On Technology”. PT Peer-Rev Journal Formula Manag 6 (2019): 320-375.
  10. Goddard K., et al. “Automation Bias: A Systematic Review of Frequency, Effect Mediators, and Mitigators”. Journal of the American Medical Informatics Association 1 (2012): 121-127.
  11. Murdoch WJ., et al. “Definitions, Methods, and Applications in Interpretable Machine Learning”. Proceedings of the National Academy of Sciences 44 (2019): 22071-22080.
  12. Hadamard J. “Resolution D’une Question Relative Aux Determinants”. Bulletin des Sciences Mathématiques 17 (1893): 240-246.
  13. Sylvester JJ. “Thoughts on Inverse Orthogonal Matrices, Simultaneous Sign Successions, and Tessellated Pavements in Two or More Colours, with Applications to Newton’s Rule, Ornamental Tile-Work, and the Theory of Numbers”. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 232 (1867): 461-475.
  14. Virtanen P., et al. “SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python”. Nature Methods 3 (2020): 261-272.
  15. McKinney W. “Data Structures for Statistical Computing in Python. In: Proceedings of the 9th Python in Science Conference”. Austin, Texas, USA (2010): 51-56.
  16. Buitinck L., et al. “API Design for Machine Learning Software: Experiences from the Scikit-learn Project”. In: ECML PKDD Workshop: Languages for Data Mining and Machine Learning (2013): 108-122.
  17. Pedregosa F., et al. “Scikit-learn: Machine learning in Python”. Journal of Machine Learning Research 12 (2011): 2825-2830.
  18. Cortes C and Vapnik V. “Support-Vector Networks”. Machine Learning 3 (1995): 273-297.
  19. Popescu M-C., et al. “Multilayer Perceptron and Neural Networks”. WSEAS Transactions on Circuits and Systems 7 (2009): 579-588.
  20. Breiman L., et al. “Classification and Regression Trees”. CRC Press (1984).
  21. Koul A., et al. “Cross-Validation Approaches for Replicability in Psychology”. Frontiers in Psychology 9 (2018): 1117.
  22. Arlot S and Celisse A. “A Survey of Cross-Validation Procedures for Model Selection”. Statistics Surveys 4 (20010): 40-79.
  23. Manjhi P and Kumar A. “On the Construction of Hadamard Matrices”. International Journal of Pure and Applied Mathematics 1 (2018): 51-58.
  24. Miyamoto M. “A Construction of Hadamard Matrices”. Journal of Combinatorial Theory, Series A 1 (1991): 86-108.
  25. De Rooij M and Weeda W. “Cross-Validation: A Method Every Psychologist Should Know”. Advances in Methods and Practices in Psychological Science 2 (2020): 248-263.
  26. Ling MH., et al. “Parts-of-Speech Tagger Errors Do Not Necessarily Degrade Accuracy in Extracting Information from Biomedical Text”. Python Pap 1 (2008): 64-79.
  27. Stehman SV. “Selecting and Interpreting Measures of Thematic Classification Accuracy”. Remote Sensing of Environment 1 (1997): 77-89.
Citation: Maurice HT Ling. “Low Classification Accuracy by Logistic Regression, Support Vector Classifier, and Multi-Layer Perceptron, But Not Decision Tree, on Random Attributes from Hadamard Matrix”. EC Clinical and Medical Case Reports 3.12 (2020): 07-10.

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