EI = -\frac{m}{2} + m \ln(2\pi) + \sum_{i=1}^m \frac{\ln(\sigma_i^2)}{2} + n \ln(2L) + \mathbb{E}_{X \sim U([-L,L]^n)} [\ln |\text{det}(J(X))|] | EI = -\frac{m}{2} + m \ln(2\pi) + \sum_{i=1}^m \frac{\ln(\sigma_i^2)}{2} + n \ln(2L) + \mathbb{E}_{X \sim U([-L,L]^n)} [\ln |\text{det}(J(X))|] |