import torch import numpy as np from typing import Union, List class DiagonalGaussianDistribution(object): def __init__(self, parameters: Union[torch.Tensor, List[torch.Tensor]], deterministic=False, feat_dim=1): self.feat_dim = feat_dim self.parameters = parameters if isinstance(parameters, list): self.mean = parameters[0] self.logvar = parameters[1] else: self.mean, self.logvar = torch.chunk(parameters, 2, dim=feat_dim) self.logvar = torch.clamp(self.logvar, -30.0, 20.0) self.deterministic = deterministic self.std = torch.exp(0.5 * self.logvar) self.var = torch.exp(self.logvar) if self.deterministic: self.var = self.std = torch.zeros_like(self.mean) def sample(self): x = self.mean + self.std * torch.randn_like(self.mean) return x def kl(self, other=None, dims=(1, 2, 3)): if self.deterministic: return torch.Tensor([0.]) else: if other is None: return 0.5 * torch.mean(torch.pow(self.mean, 2) + self.var - 1.0 - self.logvar, dim=dims) else: return 0.5 * torch.mean( torch.pow(self.mean - other.mean, 2) / other.var + self.var / other.var - 1.0 - self.logvar + other.logvar, dim=dims) def nll(self, sample, dims=(1, 2, 3)): if self.deterministic: return torch.Tensor([0.]) logtwopi = np.log(2.0 * np.pi) return 0.5 * torch.sum( logtwopi + self.logvar + torch.pow(sample - self.mean, 2) / self.var, dim=dims) def mode(self): return self.mean