更改

<math>\begin{aligned}

<math>\begin{aligned}

E I_L(f)=I(d o(X & \left.\left.\sim U\left([-L, L]^n\right)\right) ; Y\right) \\

E I_L(f)=I(d o(X & \left.\left.\sim U\left([-L, L]^n\right)\right) ; Y\right)  

& \approx-\frac{n+n \ln (2 \pi)+\sum_{i=1}^n \sigma_i^2}{2}+n \ln (2 L) \\

& \approx-\frac{n+n \ln (2 \pi)+\sum_{i=1}^n \sigma_i^2}{2}+n \ln (2 L)  

& +\mathrm{E}_{X \sim U\left([-L, L]^n\right)}\left(\ln \left|\operatorname{det}\left(\partial_{X^{\prime}} f(X)\right)\right|\right)

& +\mathrm{E}_{X \sim U\left([-L, L]^n\right)}\left(\ln \left|\operatorname{det}\left(\partial_{X^{\prime}} f(X)\right)\right|\right)

\end{aligned} </math>

\end{aligned} </math>