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Machine Learning With the Sugeno Integral: The Case of Binary Classification.
- Source :
- IEEE Transactions on Fuzzy Systems; Dec2021, Vol. 29 Issue 12, p3723-3733, 11p
- Publication Year :
- 2021
-
Abstract
- In this article, we elaborate on the use of the Sugeno integral in the context of machine learning. More specifically, we propose a method for binary classification, in which the Sugeno integral is used as an aggregation function that combines several local evaluations of an instance, pertaining to different features, or measurements, into a single global evaluation. Due to the specific nature of the Sugeno integral, this approach is especially suitable for learning from ordinal data, i.e., when measurements are taken from ordinal scales. This is a topic that has not received much attention in machine learning so far. The core of the learning problem itself consists of identifying the capacity underlying the Sugeno integral. To tackle this problem, we develop an algorithm based on linear programming. The algorithm also includes a suitable technique for transforming the original feature values into local evaluations (local utility scores), as well as a method for tuning a threshold on the global evaluation. To control the flexibility of the classifier and mitigate the problem of overfitting the training data, we generalize our approach toward $k$ -maxitive capacities, where $k$ plays the role of a hyperparameter of the learner. We present experimental studies, in which we compare our method with competing approaches on several benchmark datasets. [ABSTRACT FROM AUTHOR]
- Subjects :
- MACHINE learning
ALGORITHMS
INTEGRALS
CLASSIFICATION
Subjects
Details
- Language :
- English
- ISSN :
- 10636706
- Volume :
- 29
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 153924710
- Full Text :
- https://doi.org/10.1109/TFUZZ.2020.3026144