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beginner_source/dcgan_faces_tutorial.py
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# :math:`D` will predict its outputs are fake (:math:`log(1-D(G(x)))`).
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# From the paper, the GAN loss function is
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#
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-# .. math:: \underset{G}{\text{min}} \underset{D}{\text{max}}V(D,G) = \mathbb{E}_{x\sim p_{data}(x)}\big[logD(x)\big] + \mathbb{E}_{z\sim p_{z}(z)}\big[log(1-D(G(x)))\big]
+# .. math:: \underset{G}{\text{min}} \underset{D}{\text{max}}V(D,G) = \mathbb{E}_{x\sim p_{data}(x)}\big[logD(x)\big] + \mathbb{E}_{z\sim p_{z}(z)}\big[log(1-D(G(z)))\big]
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# In theory, the solution to this minimax game is where
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# :math:`p_g = p_{data}`, and the discriminator guesses randomly if the
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