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On fusers that perform better than best sensor

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1 Author(s)
Rao, N.S.V. ; Comput. Sci. & Math. Div., Oak Ridge Nat. Lab., TN, USA

In a multiple sensor system, sensor Si, i=1, 2..., N, outputs Y(i) ∈ [0,1], according to an unknown probability distribution P(Y(i)|X), in response to input X ∈ [0,1]. We choose a fuser-that combines the outputs of sensors-from a function class F={f:[0,1]N→[0,1]} by minimizing empirical error based on an i.i.d. sample. If F satisfies the isolation property, we show that the fuser performs at least as well as the best sensor in a probably approximately correct sense. Several well-known fusers, such as linear combinations, special potential functions, and certain feedforward networks, satisfy the isolation property

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:23 ,  Issue: 8 )