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What do we mean by the notation $\mathbf{x}_{p} \in \mathbb{R}^{N \times\left(P^{2} \cdot C\right)}$?

This itself isn't really an expression but a description of what $x_p$ looks like. Specifically, $x_p$ is a real-valued vector with the shape [N, P^2 * C]. Of ...
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What is the meaning of $p_{\text {data }}(y)$ in the CycleGAN?

I interpret $p_{data}(y)$ as the empirical probability of seeing an image $y$ in the training data. For example, in a typical training run, each training image is shown to the network the same number ...
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