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Fix typos <noupdate>
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\item[Generative adversarial network (GAN)] \marginnote{Generative adversarial network (GAN)}
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Given:
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\begin{itemize}
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\item A generator $G(z; \theta)$ that takes an input latent vector $z_i \sim p_\text{lat}(z)$ and produces an image $\hat{x}_j \sim p_\text{gen}(x)$,
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\item A generator $G(z; \theta)$ that takes as input a latent vector $z_i \sim p_\text{lat}(z)$ and produces an image $\hat{x}_j \sim p_\text{gen}(x)$,
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\item A discriminator $D(x; \phi)$ that determines whether $x_i$ is a real image from $p_\text{real}(x)$.
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\end{itemize}
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A generative adversarial network trains both $D$ and $G$ with the aim of making $p_\text{gen}$ converge to $p_\text{real}$.
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