Data organization limits the predictability of binary classification

التفاصيل البيبلوغرافية
العنوان: Data organization limits the predictability of binary classification
المؤلفون: Jing, Fei, Zhang, Zi-Ke, Zhang, Yi-Cheng, Zhang, Qingpeng
سنة النشر: 2024
المجموعة: Computer Science
Physics (Other)
مصطلحات موضوعية: Computer Science - Machine Learning, Computer Science - Data Structures and Algorithms, Physics - Data Analysis, Statistics and Probability
الوصف: The structure of data organization is widely recognized as having a substantial influence on the efficacy of machine learning algorithms, particularly in binary classification tasks. Our research provides a theoretical framework suggesting that the maximum potential of binary classifiers on a given dataset is primarily constrained by the inherent qualities of the data. Through both theoretical reasoning and empirical examination, we employed standard objective functions, evaluative metrics, and binary classifiers to arrive at two principal conclusions. Firstly, we show that the theoretical upper bound of binary classification performance on actual datasets can be theoretically attained. This upper boundary represents a calculable equilibrium between the learning loss and the metric of evaluation. Secondly, we have computed the precise upper bounds for three commonly used evaluation metrics, uncovering a fundamental uniformity with our overarching thesis: the upper bound is intricately linked to the dataset's characteristics, independent of the classifier in use. Additionally, our subsequent analysis uncovers a detailed relationship between the upper limit of performance and the level of class overlap within the binary classification data. This relationship is instrumental for pinpointing the most effective feature subsets for use in feature engineering.
Comment: 98 pages, 69 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.17036
رقم الأكسشن: edsarx.2401.17036
قاعدة البيانات: arXiv