How do I add this equation?

Question

I tried using this, but am not getting the right results
usepackage{dsfont}
...
begin{equation}
    L_G_A_N(G, D_Y, X, Y) = mathds{E}_y_~_P_{data}_(_y_)[log D_Y(y)] + mathds{E}_x_~_P{data}_(_x_)[log(1 - D_Y(G(x)))]
end{equation}

AboAmmar · Accepted Answer

You can do:
[
mathcal{L}_mathrm{GAN}(G,D_Y,X,Y)=mathbb{E}_{y sim p_mathrm{data}(y)}[log D_Y(y)]
+mathbb{E}_{x sim p_mathrm{data}(x)}[log (1-D_Y(G(x)))]
]

wipet · Answer

If you are using Unicode math font, then you can do this:
$$
  ℒ_{rm GAN}(G, D_Y, X, Y) = ?_{y ∼ p_{rm data}(y)} [log D_Y(y)] + 
                              ?_{x ∼ p_{rm data}(x)} [log(1 − D_Y (G(x))]
$$

How do I add this equation?

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