Show that the maximum number of regions created by a shallow network with Di = 2-dimensional input, Do = 1- dimensional output, and D = 3 hidden units is seven. Use the result that the maximum number of regions created by partitioning a Di-dimensional space with D hyperplanes is PDi j=0 D j . What is the maximum number of regions if we add two more hidden units to this model, so D = 5?

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Show that the maximum number of regions created by a shallow network with Di = 2-dimensional input, Do = 1- dimensional output, and D = 3 hidden units is seven. Use the result that the maximum number of regions created by partitioning a Di-dimensional space with D hyperplanes is s

$\sum _{j=0}^{D_i}\left(\frac{D}{j}\right)sum\; from\; j\; equals\; 0\; to\; cap\; D\; sub\; i\; of\; the\; 2\; by\; 1\; column\; matrix;\; cap\; D,\; j\; end-matrix;$

𝐷𝑖𝑗=0𝐷𝑗

. What is the maximum number of regions if we add two more hidden units to this model, so D = 5?

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Engineering dp 6 months 2025-03-23T09:23:53+05:00 2025-03-23T09:23:53+05:00 1 Answer 9 views Beginner

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