الملخص
This paper studies the construction of an explanatory space for a weighted naive Bayes classifier from the supervised representation induced by the model. We start from the classical supervised distance based on conditional log-likelihoods and introduce a discriminative reformulation based on log-odds, which is more directly related to the classification decision. We then show that this representation induces a distance that exactly coincides with the $\ell_1$ distance between vectors of analytical Shapley values, thereby providing a formal explanatory interpretation of the geometry induced by the model. Finally, we empirically compare several supervised distances derived from these representations using a $k$-nearest neighbors classifier. This work highlights a close link between supervised distance, local explanation, and predictive behavior, from a primarily methodological perspective.
الكلمات المفتاحية
بيانات النشر
- المجلة
- غير متاح
- وصول مفتوح
- وصول مفتوح أخضر
اقتبس هذه المقالة
APA 7
Lemaire, V., & Clérot, F. (2026). From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier. https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier
MLA 9
Lemaire, Vincent, and Fabrice Clérot. "From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier." https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier.
شيكاغو (المؤلف–التاريخ)
Lemaire, Vincent, and Fabrice Clérot. 2026. "From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier." https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier.
هارفارد
Lemaire, V. and Clérot, F. (2026) 'From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier', Available at: https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier.
فانكوفر
Lemaire V, Clérot F. From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier. https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier
IEEE
V. Lemaire, and F. Clérot, "From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier," https://omanscience.com/ar/articles/from-log-odds-to-shapley-values-an-explanatory-geometry-for-the-weighted-naive-bayes-classifier.