The Storage Capacity of a Fully-Connected Committee Machine

نویسندگان

  • Yuansheng Xiong
  • Chulan Kwon
  • Jong-Hoon Oh
چکیده

We study the storage capacity of a fully-connected committee machine with a large number K of hidden nodes. The storage capacity is obtained by analyzing the geometrical structure of the weight space related to the internal representation . By examining the asymptotic behavior of order parameters in the limit of large K, the storage capacity Q c is found to be proportional to ]{ Jln ]{ up to the leading order. This result satisfies the mathematical bound given by Mitchison and Durbin , whereas the replica-symmetric solution in a conventional Gardner 's approach violates this bound.

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تاریخ انتشار 1997