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A committee machine with a set of networks composed of two single-threshold elements as committee members
Authors:Ryuzo Takiyama
Affiliation:Kyushu Institute of Design, 226, Shiobaru, Minami-ku, Fukuoka, 815 Japan
Abstract:We propose a committee machine whose each committee member is a network of two threshold elements. This improves upon the ability of the usual committee machine. The subsidiary discriminant function in this case is a kind of piecewise linear discriminant function instead of a linear function. We show a sophisticated representation of the discriminant function realized by the proposed committee machine, and give a rational learning algorithm based on the function. We also show that the proposed committee machine, which is a kind of three-layer network of threshold elements, cannot be equivalently transformed to a two-layer network. This fact asserts that the proposed committee machine provides a family of discriminant functions which is intrinsically wider than that of the usual committee machine.
Keywords:Pattern recognition  Network of threshold elements  Piecewise linear discriminant function  Committee machine  Subsidiary discriminant function  Φ function  Learning algorithm  Two threshold elements network  Three layer network
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