Authors: Pablo Torrijos, Juan C. Alfaro, José A. Gámez, José M. Puerta
Organizations: Departamento de Sistemas Informáticos. Universidad de Castilla-La Mancha, 02071 Albacete, Spain. · Instituto de Investigación en Informática de Albacete. Universidad de Castilla-La Mancha, 02071 Albacete, Spain.
This work presents a federated framework for training Averaged n-Dependence Estimators (AnDE) in distributed environments. The proposed method focuses on the discriminative setting, where model weights are learned locally and aggregated globally, supporting any dependency order n. This design allows federated training without transmitting semantically meaningful parameters, improving privacy. Additionally, generative AnDE models are federated to provide a comparative baseline, with optional differential privacy applied to the aggregation of probability tables. Experiments on 12 discrete datasets show that discriminative models with n≥1 consistently outperform federated Naive Bayes (NB, n=0), and that privacy-preserving aggregation is effective with limited accuracy loss. These results establish federated AnDE as a viable and privacy-preserving framework, showing that probabilistic models remain applicable in modern federated learning settings.
Figures & tables
Dataset
Properties
m
d
o
OpenML ID
House Votes 84
435
16
2
56
Soybean
683
35
19
42
Tic-Tac-Toe
958
9
2
50
Flare
1066
11
6
46174
Car Evaluation
1728
6
4
991
Table 1: Datasets used in the experimental evaluation. Here, m is the number of instances, d the number of attributes, and o the number of classes.