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Banzhaf random forests: Cooperative game theory based random forests with consistency.

Sun, J., Zhong, G., Huang, K. and Dong, J., 2018. Banzhaf random forests: Cooperative game theory based random forests with consistency. Neural Networks, 106, 20 - 29.

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DOI: 10.1016/j.neunet.2018.06.006

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.

Item Type:Article
ISSN:0893-6080
Uncontrolled Keywords:banzhaf power index; consistency; cooperative game; random forests; algorithms; cluster analysis; game theory; humans; random allocation; support vector machine
Group:Faculty of Media & Communication
ID Code:33294
Deposited By: Symplectic RT2
Deposited On:31 Jan 2020 15:41
Last Modified:14 Mar 2022 14:19

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