This function calculates the energy loss for given tensors. The loss is calculated as the mean of the L2 norms between `x0` and `x` and between `x0` and `xp`, each raised to the power of `beta`, subtracted by half the mean of the L2 norm between `x` and `xp`, also raised to the power of `beta`.
energylossbeta(x0, x, xp, beta, verbose = FALSE)A scalar representing the calculated energy loss.
A tensor representing the target values.
A tensor representing the model's stochastic predictions.
A tensor representing another draw of the model's stochastic predictions.
A numeric value for scaling the energy loss.
A boolean indicating whether to return prediction loss s1 = E(||x0-x||) and variance loss s2 = E(||x-xp||).