Mercurial > hg > tvii
annotate docs/matrix.txt @ 93:36c141f0f0bd default tip
add tensorflow dependency + console scripts
| author | Jeff Hammel <k0scist@gmail.com> | 
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| date | Sun, 17 Dec 2017 14:31:35 -0800 | 
| parents | 857a606783e1 | 
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| rev | line source | 
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changeset | 1 [| | | ] | 
| 37 | 2 X = [x1 x2 ...xm] = A0 | 
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changeset | 3 [| | | ] | 
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changeset | 4 | 
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changeset | 5 Z1 = w'X + b1 | 
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changeset | 6 | 
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changeset | 7 A1 = sigmoid(Z1) | 
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changeset | 8 | 
| 37 | 9 Z2 = W2 A1 + b2 | 
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changeset | 11 [---] | 
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changeset | 12 W1 = [---] | 
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changeset | 13 [---] | 
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changeset | 14 | 
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changeset | 15 `W1x1` gives some column vector, where `x1` | 
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changeset | 16 is the first training example. | 
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changeset | 17 | 
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changeset | 18 Y = [ y1 y2 ... ym] | 
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changeset | 19 | 
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changeset | 20 For a two-layer network: | 
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changeset | 21 | 
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changeset | 22 dZ2 = A2 - Y | 
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changeset | 23 | 
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changeset | 24 dW = (1/m) dZ2 A1' | 
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changeset | 25 | 
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changeset | 26 db2 = (1./m)*np.sum(dZ2, axis=1, keepdims=True) | 
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changeset | 27 | 
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changeset | 28 dZ1 = W2' dZ2 * g1 ( Z1 ) | 
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changeset | 29 : W2' dZ2 : an (n1, m) matrix | 
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changeset | 30 : * : element-wise product | 
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changeset | 31 | 
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changeset | 32 dW1 = (1/m) dZ1 X' | 
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changeset | 33 | 
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changeset | 34 db1 = (1/m) np.sum(dZ1, axis=1, keepdims=True) | 
