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arXiv · 2504.07301

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

Krzysztof Byrski·Jacek Tabor·Przemysław Spurek·Marcin Mazur
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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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Krzysztof Byrski, Jacek Tabor, Przemysław Spurek, Marcin Mazur. 2025-04-09. CEC-MMR: Cross-Entropy Clustering Approach to Multi-Modal Regression. https://arxiv.org/abs/2504.07301

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