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"""
This function is adapted from [donut] by [haowen-xu]
Original source: [https://github.com/NetManAIOps/donut]
"""
from typing import Dict
import numpy as np
import torchinfo
import torch
from torch import nn, optim
import tqdm
import os, math
import torch.nn.functional as F
from torch.utils.data import DataLoader
from typing import Tuple, Sequence, Union, Callable
from ..utils.torch_utility import EarlyStoppingTorch, get_gpu
from ..utils.dataset import ReconstructDataset
class DonutModel(nn.Module):
def __init__(self, input_dim, hidden_dim, latent_dim, mask_prob) -> None:
super().__init__()
"""
Xu2018
:param input_dim: Should be window_size * features
:param hidden_dims:
:param latent_dim:
"""
self.latent_dim = latent_dim
self.mask_prob = mask_prob
encoder = VaeEncoder(input_dim, hidden_dim, latent_dim)
decoder = VaeEncoder(latent_dim, hidden_dim, input_dim)
self.vae = VAE(encoder=encoder, decoder=decoder, logvar_out=False)
def forward(self, inputs: torch.Tensor) -> Tuple[torch.Tensor, ...]:
# x: (B, T, D)
x = inputs
B, T, D = x.shape
if self.training:
# Randomly mask some inputs
mask = torch.empty_like(x)
mask.bernoulli_(1 - self.mask_prob)
x = x * mask
else:
mask = None
# Run the VAE
x = x.view(x.shape[0], -1)
mean_z, std_z, mean_x, std_x, sample_z = self.vae(x, return_latent_sample=True)
# Reshape the outputs
mean_x = mean_x.view(B, T, D)
std_x = std_x.view(B, T, D)
return mean_z, std_z, mean_x, std_x, sample_z, mask
def sample_normal(mu: torch.Tensor, std_or_log_var: torch.Tensor, log_var: bool = False, num_samples: int = 1):
# ln(σ) = 0.5 * ln(σ^2) -> σ = e^(0.5 * ln(σ^2))
if log_var:
sigma = std_or_log_var.mul(0.5).exp_()
else:
sigma = std_or_log_var
if num_samples == 1:
eps = torch.randn_like(mu) # also copies device from mu
else:
eps = torch.rand((num_samples,) + mu.shape, dtype=mu.dtype, device=mu.device)
mu = mu.unsqueeze(0)
sigma = sigma.unsqueeze(0)
# z = μ + σ * ϵ, with ϵ ~ N(0,I)
return eps.mul(sigma).add_(mu)
def normal_standard_normal_kl(mean: torch.Tensor, std_or_log_var: torch.Tensor, log_var: bool = False) -> torch.Tensor:
if log_var:
kl_loss = torch.sum(1 + std_or_log_var - mean.pow(2) - std_or_log_var.exp(), dim=-1)
else:
kl_loss = torch.sum(1 + torch.log(std_or_log_var.pow(2)) - mean.pow(2) - std_or_log_var.pow(2), dim=-1)
return -0.5 * kl_loss
def normal_normal_kl(mean_1: torch.Tensor, std_or_log_var_1: torch.Tensor, mean_2: torch.Tensor,
std_or_log_var_2: torch.Tensor, log_var: bool = False) -> torch.Tensor:
if log_var:
return 0.5 * torch.sum(std_or_log_var_2 - std_or_log_var_1 + (torch.exp(std_or_log_var_1)
+ (mean_1 - mean_2)**2) / torch.exp(std_or_log_var_2) - 1, dim=-1)
return torch.sum(torch.log(std_or_log_var_2) - torch.log(std_or_log_var_1) \
+ 0.5 * (std_or_log_var_1**2 + (mean_1 - mean_2)**2) / std_or_log_var_2**2 - 0.5, dim=-1)
class VAELoss(torch.nn.modules.loss._Loss):
def __init__(self, size_average=None, reduce=None, reduction: str = 'mean', logvar_out: bool = True):
super(VAELoss, self).__init__(size_average, reduce, reduction)
self.logvar_out = logvar_out
def forward(self, predictions: Tuple[torch.Tensor, ...], targets: Tuple[torch.Tensor, ...], *args, **kwargs) \
-> torch.Tensor:
z_mean, z_std_or_log_var, x_dec_mean, x_dec_std = predictions[:4]
if len(predictions) > 4:
z_prior_mean, z_prior_std_or_logvar = predictions[4:]
else:
z_prior_mean, z_prior_std_or_logvar = None, None
y, = targets
# Gaussian nnl loss assumes multivariate normal with diagonal sigma
# Alternatively we can use torch.distribution.Normal(x_dec_mean, x_dec_std).log_prob(y).sum(-1)
# or torch.distribution.MultivariateNormal(mean, cov).log_prob(y).sum(-1)
# with cov = torch.eye(feat_dim).repeat([1,bz,1,1])*std.pow(2).unsqueeze(-1).
# However setting up a distribution seems to be an unnecessary computational overhead.
# However, this requires pytorch version > 1.9!!!
nll_gauss = F.gaussian_nll_loss(x_dec_mean, y, x_dec_std.pow(2), reduction='none').sum(-1)
# For pytorch version < 1.9 use:
# nll_gauss = -torch.distribution.Normal(x_dec_mean, x_dec_std).log_prob(y).sum(-1)
# get KL loss
if z_prior_mean is None and z_prior_std_or_logvar is None:
# If a prior is not given, we assume standard normal
kl_loss = normal_standard_normal_kl(z_mean, z_std_or_log_var, log_var=self.logvar_out)
else:
if z_prior_mean is None:
z_prior_mean = torch.tensor(0, dtype=z_mean.dtype, device=z_mean.device)
if z_prior_std_or_logvar is None:
value = 0 if self.logvar_out else 1
z_prior_std_or_logvar = torch.tensor(value, dtype=z_std_or_log_var.dtype, device=z_std_or_log_var.device)
kl_loss = normal_normal_kl(z_mean, z_std_or_log_var, z_prior_mean, z_prior_std_or_logvar,
log_var=self.logvar_out)
# Combine
final_loss = nll_gauss + kl_loss
if self.reduction == 'none':
return final_loss
elif self.reduction == 'mean':
return torch.mean(final_loss)
elif self.reduction == 'sum':
return torch.sum(final_loss)
class MaskedVAELoss(VAELoss):
def __init__(self, size_average=None, reduce=None, reduction: str = 'mean'):
super(MaskedVAELoss, self).__init__(size_average, reduce, reduction, logvar_out=False)
def forward(self, predictions: Tuple[torch.Tensor, ...], targets: Tuple[torch.Tensor, ...], *args, **kwargs) \
-> torch.Tensor:
mean_z, std_z, mean_x, std_x, sample_z, mask = predictions
actual_x, = targets
if mask is None:
mean_z = mean_z.unsqueeze(1)
std_z = std_z.unsqueeze(1)
return super(MaskedVAELoss, self).forward((mean_z, std_z, mean_x, std_x), (actual_x,), *args, **kwargs)
# If the loss is masked, one of the terms in the kl loss is weighted, so we can't compute it exactly
# anymore and have to use a MC approximation like for the output likelihood
nll_output = torch.sum(mask * F.gaussian_nll_loss(mean_x, actual_x, std_x**2, reduction='none'), dim=-1)
# This is p(z), i.e., the prior likelihood of Z. The paper assumes p(z) = N(z| 0, I), we drop constants
beta = torch.mean(mask, dim=(1, 2)).unsqueeze(-1)
nll_prior = beta * 0.5 * torch.sum(sample_z * sample_z, dim=-1, keepdim=True)
nll_approx = torch.sum(F.gaussian_nll_loss(mean_z, sample_z, std_z**2, reduction='none'), dim=-1, keepdim=True)
final_loss = nll_output + nll_prior - nll_approx
if self.reduction == 'none':
return final_loss
elif self.reduction == 'mean':
return torch.mean(final_loss)
elif self.reduction == 'sum':
return torch.sum(final_loss)
class MLP(torch.nn.Module):
def __init__(self, input_features: int, hidden_layers: Union[int, Sequence[int]], output_features: int,
activation: Callable = torch.nn.Identity(), activation_after_last_layer: bool = False):
super(MLP, self).__init__()
self.activation = activation
self.activation_after_last_layer = activation_after_last_layer
if isinstance(hidden_layers, int):
hidden_layers = [hidden_layers]
layers = [input_features] + list(hidden_layers) + [output_features]
self.layers = torch.nn.ModuleList([torch.nn.Linear(inp, out) for inp, out in zip(layers[:-1], layers[1:])])
def forward(self, x: torch.Tensor) -> torch.Tensor:
out = x
for layer in self.layers[:-1]:
out = layer(out)
out = self.activation(out)
out = self.layers[-1](out)
if self.activation_after_last_layer:
out = self.activation(out)
return out
class VaeEncoder(nn.Module):
def __init__(self, input_dim: int, hidden_dim: int, latent_dim: int):
super(VaeEncoder, self).__init__()
self.latent_dim = latent_dim
self.mlp = MLP(input_dim, hidden_dim, 2*latent_dim, activation=torch.nn.ReLU(), activation_after_last_layer=False)
self.softplus = torch.nn.Softplus()
def forward(self, x: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
# x: (B, T, D)
mlp_out = self.mlp(x)
mean, std = mlp_out.tensor_split(2, dim=-1)
std = self.softplus(std)
return mean, std
class VAE(torch.nn.Module):
"""
VAE Implementation that supports normal distribution with diagonal cov matrix in the latent space
and the output
"""
def __init__(self, encoder: torch.nn.Module, decoder: torch.nn.Module, logvar_out: bool = True):
super(VAE, self).__init__()
self.encoder = encoder
self.decoder = decoder
self.log_var = logvar_out
def forward(self, x: torch.Tensor, return_latent_sample: bool = False, num_samples: int = 1,
force_sample: bool = False) -> Tuple[torch.Tensor, ...]:
z_mu, z_std_or_log_var = self.encoder(x)
if self.training or num_samples > 1 or force_sample:
z_sample = sample_normal(z_mu, z_std_or_log_var, log_var=self.log_var, num_samples=num_samples)
else:
z_sample = z_mu
x_dec_mean, x_dec_std = self.decoder(z_sample)
if not return_latent_sample:
return z_mu, z_std_or_log_var, x_dec_mean, x_dec_std
return z_mu, z_std_or_log_var, x_dec_mean, x_dec_std, z_sample
class Donut():
def __init__(self,
win_size=120,
input_c=1,
batch_size=128, # 32, 128
grad_clip=10.0,
num_epochs=50,
mc_samples=1024,
hidden_dim=100,
latent_dim=8,
inject_ratio=0.01,
lr=1e-4,
l2_coff=1e-3,
patience=3,
validation_size=0):
super().__init__()
self.__anomaly_score = None
self.cuda = True
self.device = get_gpu(self.cuda)
self.win_size = win_size
self.input_c = input_c
self.batch_size = batch_size
self.grad_clip = grad_clip
self.num_epochs = num_epochs
self.mc_samples = mc_samples
self.validation_size = validation_size
input_dim = self.win_size*self.input_c
self.model = DonutModel(input_dim=input_dim, hidden_dim=hidden_dim, latent_dim=latent_dim, mask_prob=inject_ratio).to(self.device)
self.optimizer = optim.AdamW(self.model.parameters(), lr=lr, weight_decay=l2_coff)
self.scheduler = optim.lr_scheduler.StepLR(self.optimizer, step_size=10, gamma=0.75)
self.vaeloss = MaskedVAELoss()
self.save_path = None
self.early_stopping = EarlyStoppingTorch(save_path=self.save_path, patience=patience)
def train(self, train_loader, epoch):
self.model.train(mode=True)
avg_loss = 0
loop = tqdm.tqdm(enumerate(train_loader),total=len(train_loader),leave=True)
for idx, (x, target) in loop:
x, target = x.to(self.device), target.to(self.device)
self.optimizer.zero_grad()
# print('x: ', x.shape)
output = self.model(x)
loss = self.vaeloss(output, (target,))
loss.backward()
torch.nn.utils.clip_grad_norm_(self.model.parameters(), self.grad_clip)
self.optimizer.step()
avg_loss += loss.cpu().item()
loop.set_description(f'Training Epoch [{epoch}/{self.num_epochs}]')
loop.set_postfix(loss=loss.item(), avg_loss=avg_loss/(idx+1))
return avg_loss/max(len(train_loader), 1)
def valid(self, valid_loader, epoch):
self.model.eval()
avg_loss = 0
loop = tqdm.tqdm(enumerate(valid_loader),total=len(valid_loader),leave=True)
with torch.no_grad():
for idx, (x, target) in loop:
x, target = x.to(self.device), target.to(self.device)
output = self.model(x)
loss = self.vaeloss(output, (target,))
avg_loss += loss.cpu().item()
loop.set_description(f'Validation Epoch [{epoch}/{self.num_epochs}]')
loop.set_postfix(loss=loss.item(), avg_loss=avg_loss/(idx+1))
return avg_loss/max(len(valid_loader), 1)
def fit(self, data):
tsTrain = data[:int((1-self.validation_size)*len(data))]
tsValid = data[int((1-self.validation_size)*len(data)):]
train_loader = DataLoader(
dataset=ReconstructDataset(tsTrain, window_size=self.win_size),
batch_size=self.batch_size,
shuffle=True
)
valid_loader = DataLoader(
dataset=ReconstructDataset(tsValid, window_size=self.win_size),
batch_size=self.batch_size,
shuffle=False
)
for epoch in range(1, self.num_epochs + 1):
train_loss = self.train(train_loader, epoch)
if len(valid_loader) > 0:
valid_loss = self.valid(valid_loader, epoch)
self.scheduler.step()
if len(valid_loader) > 0:
self.early_stopping(valid_loss, self.model)
else:
self.early_stopping(train_loss, self.model)
if self.early_stopping.early_stop:
print(" Early stopping<<<")
break
def decision_function(self, data):
test_loader = DataLoader(
dataset=ReconstructDataset(data, window_size=self.win_size),
batch_size=self.batch_size,
shuffle=False
)
self.model.eval()
scores = []
loop = tqdm.tqdm(enumerate(test_loader),total=len(test_loader),leave=True)
with torch.no_grad():
for idx, (x, _) in loop:
x = x.to(self.device)
x_vae = x.view(x.shape[0], -1)
B, T, D = x.shape
res = self.model.vae(x_vae, return_latent_sample=False, num_samples=self.mc_samples)
z_mu, z_std, x_dec_mean, x_dec_std = res
x_dec_mean = x_dec_mean.view(self.mc_samples, B, T, D)
x_dec_std = x_dec_std.view(self.mc_samples, B, T, D)
nll_output = torch.sum(F.gaussian_nll_loss(x_dec_mean[:, :, -1, :], x[:, -1, :].unsqueeze(0),
x_dec_std[:, :, -1, :]**2, reduction='none'), dim=(0, 2))
nll_output /= self.mc_samples
scores.append(nll_output.cpu())
loop.set_description(f'Testing: ')
scores = torch.cat(scores, dim=0)
scores = scores.numpy()
assert scores.ndim == 1
import shutil
if self.save_path and os.path.exists(self.save_path):
shutil.rmtree(self.save_path)
self.__anomaly_score = scores
if self.__anomaly_score.shape[0] < len(data):
self.__anomaly_score = np.array([self.__anomaly_score[0]]*math.ceil((self.win_size-1)/2) +
list(self.__anomaly_score) + [self.__anomaly_score[-1]]*((self.win_size-1)//2))
return self.__anomaly_score
def anomaly_score(self) -> np.ndarray:
return self.__anomaly_score
def get_y_hat(self) -> np.ndarray:
return super().get_y_hat
def param_statistic(self, save_file):
model_stats = torchinfo.summary(self.model, (self.batch_size, self.win_size), verbose=0)
with open(save_file, 'w') as f:
f.write(str(model_stats))
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