megengine.functional.logaddexp

logaddexp(x, y)[source]

Element-wise \(\log(e^x + e^y)\) function.

This function is useful in statistics where the calculated probabilities of events may be so small as to exceed the range of normal floating point numbers. In such cases the logarithm of the calculated probability is stored. This function allows adding probabilities stored in such a fashion.

Parameters
Return type

Tensor

Returns

a tensor containing the evaluated result for each element in \(x\) and \(y\). The returned tensor must have a floating-point data type determined by Type promotion rules.

Examples

>>> prob1 = F.log(1e-10)
>>> prob2 = F.log(2e-10)
>>> F.logaddexp(prob1, prob2)
Tensor(-21.927238, device=xpux:0)