Ryan, Mason & Lewis, LLP
Weighted pair-wise scatter to improve linear discriminant analysis
In general, the present invention determines and applies weights for class pairs. The weights are selected to better separate, in reduced-dimensional class space, the classes that are confusable in normal-dimensional class space. During the dimension-reducing process, higher weights are preferably assigned to more confusable class pairs while lower weights are assigned to less confusable class pairs. As compared to unweighted Linear Discriminant Analysis (LDA), the present invention will result in decreased confusability of class pairs in reduced-dimensional class space. The weights can be assigned through a monotonically decreasing function of distance, which assigns lower weights to class pairs that are separated by larger distances. Additionally, weights may also be assigned through a monotonically increasing function of confusability, in which higher weights would be assigned to class pairs that are more confusable.
International Business Machines Corporation
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Hakan Yuqing Yongxin
Erdogan Gao Li