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from abc import abstractmethod
from typing import Any, Tuple
import numpy as np
import torch
import torch.nn.functional as F
from torch import nn
class DiagonalGaussianDistribution(object):
def __init__(self, parameters, deterministic=False):
self.parameters = parameters
self.mean, self.logvar = torch.chunk(parameters, 2, dim=1)
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).to(device=self.parameters.device)
def sample(self):
# x = self.mean + self.std * torch.randn(self.mean.shape).to(
# device=self.parameters.device
# )
x = self.mean + self.std * torch.randn_like(self.mean)
return x
def kl(self, other=None):
if self.deterministic:
return torch.Tensor([0.0])
else:
if other is None:
return 0.5 * torch.sum(
torch.pow(self.mean, 2) + self.var - 1.0 - self.logvar,
dim=[1, 2, 3],
)
else:
return 0.5 * torch.sum(
torch.pow(self.mean - other.mean, 2) / other.var
+ self.var / other.var
- 1.0
- self.logvar
+ other.logvar,
dim=[1, 2, 3],
)
def nll(self, sample, dims=[1, 2, 3]):
if self.deterministic:
return torch.Tensor([0.0])
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
class AbstractRegularizer(nn.Module):
def __init__(self):
super().__init__()
def forward(self, z: torch.Tensor) -> Tuple[torch.Tensor, dict]:
raise NotImplementedError()
@abstractmethod
def get_trainable_parameters(self) -> Any:
raise NotImplementedError()
class IdentityRegularizer(AbstractRegularizer):
def forward(self, z: torch.Tensor) -> Tuple[torch.Tensor, dict]:
return z, dict()
def get_trainable_parameters(self) -> Any:
yield from ()
def measure_perplexity(predicted_indices: torch.Tensor, num_centroids: int) -> Tuple[torch.Tensor, torch.Tensor]:
# src: https://github.com/karpathy/deep-vector-quantization/blob/main/model.py
# eval cluster perplexity. when perplexity == num_embeddings then all clusters are used exactly equally
encodings = F.one_hot(predicted_indices, num_centroids).float().reshape(-1, num_centroids)
avg_probs = encodings.mean(0)
perplexity = (-(avg_probs * torch.log(avg_probs + 1e-10)).sum()).exp()
cluster_use = torch.sum(avg_probs > 0)
return perplexity, cluster_use
class DiagonalGaussianRegularizer(AbstractRegularizer):
def __init__(self, sample: bool = True):
super().__init__()
self.sample = sample
def get_trainable_parameters(self) -> Any:
yield from ()
def forward(self, z: torch.Tensor) -> Tuple[torch.Tensor, dict]:
log = dict()
posterior = DiagonalGaussianDistribution(z)
if self.sample:
z = posterior.sample()
else:
z = posterior.mode()
kl_loss = posterior.kl()
kl_loss = torch.sum(kl_loss) / kl_loss.shape[0]
log["kl_loss"] = kl_loss
return z, log
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