Estimation of classification error based on the Bhattacharyya distance for multimodal data

In this paper, we investigate the possibility of error estimation based on the Bhattacharyya distance for multimodal data. Assuming multimodal data can be approximated as a mixture of several classes that has the Gaussian distribution, we try to find the empirical relationship between the Bhattacharyya distance and the classification error for multimodal data. Experimental results with remotely sensed data showed that there exists a strong relationship and that it is possible to predict the classification error using the Bhattacharyya distance for multimodal data