Supplemental Material of Truncating Wide Networks using Binary Tree Architectures
نویسندگان
چکیده
Proof of Corollary 3.2. The total depth of the given network is LK. Thus, the parameter size is O ( LKD ) . Also, according to Corollary 5 of [6], the maximal number of linear region of functions that can be computed by the given network in an n-dimensional (D > n) input space is lower bounded by O ( (Dn ) n(KL−1)Dn ) , which can be simplified by a looser bound O ( (Dn ) nKL ) and resulting in our corollary.
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