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Showing content from https://docs.pytorch.org/docs/stable/generated/torch.Tensor.log_normal_.html below:

torch.Tensor.log_normal_ — PyTorch 2.7 documentation

torch.Tensor.log_normal_
Tensor.log_normal_(mean=1, std=2, *, generator=None)

Fills self tensor with numbers samples from the log-normal distribution parameterized by the given mean μ \mu μ and standard deviation σ \sigma σ. Note that mean and std are the mean and standard deviation of the underlying normal distribution, and not of the returned distribution:

f ( x ) = 1 x σ 2 π   e − ( ln ⁡ x − μ )2 2 σ2 f(x) = \dfrac{1}{x \sigma \sqrt{2\pi}}\ e^{-\frac{(\ln x - \mu)^2}{2\sigma^2}} f(x)=xσ2π 1 e2σ2(lnxμ)2


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