Mean Field Theory of Learning in PrunedPerceptrons ?
نویسنده
چکیده
We consider the mean eld theory of optimally pruned per-ceptrons. Using the cavity method, microscopic equations for the weights and the examples are derived. Their statistical properties agree with previous results using the replica method. There is a gap in the weight distribution, causing an instability in the ground state. A rough energy landscape better describes the learning problem. Solutions to the microscopic equations result in high stability of the examples.
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تاریخ انتشار 2007