Title
Banzhaf random forests: Cooperative game theory based random forests with consistency.
Abstract
Random forests algorithms have been widely used in many classification and regression applications. However, the theory of random forests lags far behind their applications. In this paper, we propose a novel random forests classification algorithm based on cooperative game theory. The Banzhaf power index is employed to evaluate the power of each feature by traversing possible feature coalitions. Hence, we call the proposed algorithm Banzhaf random forests (BRFs). Unlike the previously used information gain ratio, which only measures the power of each feature for classification and pays less attention to the intrinsic structure of the feature variables, the Banzhaf power index can measure the importance of each feature by computing the dependency among the group of features. More importantly, we have proved the consistency of BRFs, which narrows the gap between the theory and applications of random forests. Extensive experiments on several UCI benchmark data sets and three real world applications show that BRFs perform significantly better than existing consistent random forests on classification accuracy, and better than or at least comparable with Breiman’s random forests, support vector machines (SVMs) and k-nearest neighbors (KNNs) classifiers.
Year
DOI
Venue
2018
10.1016/j.neunet.2018.06.006
Neural Networks
Keywords
Field
DocType
Random forests,Cooperative game,Banzhaf power index,Consistency
Data set,Regression,Banzhaf power index,Support vector machine,Cooperative game theory,Artificial intelligence,Information gain ratio,Random forest,Machine learning,Mathematics,Traverse
Journal
Volume
Issue
ISSN
106
1
0893-6080
Citations 
PageRank 
References 
1
0.35
23
Authors
4
Name
Order
Citations
PageRank
jianyuan sun142.77
Guoqiang Zhong212320.68
Kaizhu Huang3101083.94
Junyu Dong439377.68