CEC-MMR: Cross-Entropy Clustering Approach to Multi-Modal Regression

• URL: http://arxiv.org/abs/2504.07301v1
• Date: Wed, 09 Apr 2025 21:51:38 GMT
• Title: CEC-MMR: Cross-Entropy Clustering Approach to Multi-Modal Regression
• Authors: Krzysztof Byrski, Jacek Tabor, Przemysław Spurek, Marcin Mazur,
• Abstract summary: We introduce CEC-MMR, which allows for the automatic detection of the number of components in a regression problem.<n>Given an attribute and its value, our method is capable of uniquely identifying it with the underlying component.<n>Results demonstrate that CEC-MMR yields superior outcomes compared to classical MDNs.
• Score: 8.127496643086701
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In practical applications of regression analysis, it is not uncommon to encounter a multitude of values for each attribute. In such a situation, the univariate distribution, which is typically Gaussian, is suboptimal because the mean may be situated between modes, resulting in a predicted value that differs significantly from the actual data. Consequently, to address this issue, a mixture distribution with parameters learned by a neural network, known as a Mixture Density Network (MDN), is typically employed. However, this approach has an important inherent limitation, in that it is not feasible to ascertain the precise number of components with a reasonable degree of accuracy. In this paper, we introduce CEC-MMR, a novel approach based on Cross-Entropy Clustering (CEC), which allows for the automatic detection of the number of components in a regression problem. Furthermore, given an attribute and its value, our method is capable of uniquely identifying it with the underlying component. The experimental results demonstrate that CEC-MMR yields superior outcomes compared to classical MDNs.

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