arXiv AI By Vincent Lemaire, Fabrice Cl\'erot

From Log-Odds to Shapley Values: An Explanatory Geometry for the Weighted Naive Bayes Classifier

Read the original on arXiv AI →

The paper develops an explanatory framework for weighted naive Bayes classifiers by transforming the traditional supervised distance based on conditional log-likelihoods into a discriminative log‑odds representation. It demonstrates that this new representation yields a distance identical to the α1 distance between vectors of analytical Shapley values, thereby linking model geometry to local explanations. The authors also empirically evaluate various supervised distances derived from these representations using a k‑nearest neighbors classifier.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv AI.

arXiv Machine Learning
Sep 11

Local Robustness Quantification for Naive Bayes Classifiers and Generative Forests: a General Approach

The paper introduces techniques for measuring the robustness of predictions made by two generative classifiers—naive Bayes classifiers and generative forests—whose underlying models are probabilistic graphical models. Robustness is defined as the degree to which the classifier’s distribution can be perturbed without altering its prediction, with perturbations explored via epsilon‑contamination, total variation distance, and chi‑squared divergence neighborhoods. Experiments on benchmark datasets show that the computed robustness values can serve as indicators of prediction trustworthiness and are compared against other existing indicators.

By Adri\'an Detavernier, Jasper De Bock