GAN Hinge Loss
GAN Hinge Loss
The **GAN Hinge Loss** is a hinge loss based loss function for [generative adversarial networks](https://paperswithcode.com/methods/category/generative-adversarial-networks):

$$ L\_{D} = -\mathbb{E}\_{\left(x, y\right)\sim{p}\_{data}}\left[\min\left(0, -1 + D\left(x, y\right)\right)\right] -\mathbb{E}\_{z\sim{p\_{z}}, y\sim{p\_{data}}}\left[\min\left(0, -1 - D\left(G\left(z\right), y\right)\right)\right] $$

$$ L\_{G} = -\mathbb{E}\_{z\sim{p\_{z}}, y\sim{p\_{data}}}D\left(G\left(z\right), y\right) $$
Geometric GAN
https://paperswithcode.com/paper/geometric-gan
Geometric GAN