MCHAD

Multi Class Hypersphere Anomaly Detection (MCHAD) can be seen as a multi-class generalization of Deep One-Class Learning, where there are several centers \(\{\mu_1, \mu_2, ..., \mu_y\}\) in the output space of the model, one for each class. During training, the representation \(f_{\theta}(x)\) from class \(y\) is drawn towards the corresponding center \(\mu_y\).

In contrast to Class Anchor Clustering, the position of the class-centers can be learned, and the dimensionality of the output space can be chosen freely. Also, the method is able to incorporate outliers into the training. On the downside, MCHAD has more hyperparameters.

Here, we train the model for 10 epochs on the CIFAR10 dataset, using a backbone pre-trained on the \(32 \times 32\) resized version of the ImageNet as a foundation. We use the TinyImages300k as training outlier data.

You can run this example with:

python examples/loss/supervised/mchad.py

import torch
from torch.optim.lr_scheduler import CosineAnnealingLR
from torch.optim import Adam
from torch.utils.data import DataLoader, random_split
from torchmetrics import Accuracy
from torchvision.datasets import CIFAR10
from tqdm import tqdm
import math

from pytorch_ood.dataset.img import Textures, TinyImages300k
from pytorch_ood.loss import MCHADLoss
from pytorch_ood.model import WideResNet
from pytorch_ood.utils import OODMetrics, ToUnknown, fix_random_seed, is_known

fix_random_seed(123)

data_root = "data"
n_epochs = 10
device = "cuda:0"
embedding_dim = 7  # dimensionality of output space
margin = math.sqrt(embedding_dim)
batch_size = 256

trans = WideResNet.transform_for("imagenet32-nocifar")

# setup IN training data
data_in_train = CIFAR10(root=data_root, train=True, download=True, transform=trans)

# setup OOD training data, same size as IN training data
tiny300k = TinyImages300k(
    root=data_root, download=True, transform=trans, target_transform=ToUnknown()
)

# setup IN test data
data_in_test = CIFAR10(root=data_root, train=False, transform=trans)

# setup OOD test data, use ToUnknown() to mark labels as OOD
data_out_test = Textures(
    root=data_root, download=True, transform=trans, target_transform=ToUnknown()
)


# create data loaders
test_loader = DataLoader(
    data_in_test + data_out_test, batch_size=batch_size, num_workers=16
)

data_out_train, _ = random_split(
    tiny300k, [len(data_in_train), len(tiny300k) - len(data_in_train)]
)
train_loader = DataLoader(
    data_in_train + data_out_train, batch_size=batch_size, shuffle=True, num_workers=16
)

Create DNN, pretrained on the imagenet excluding cifar10 classes. We have to replace the final layer to match the number of classes.

model = WideResNet(num_classes=1000, pretrained="imagenet32-nocifar")
model.fc = torch.nn.Linear(model.fc.in_features, embedding_dim)
model.to(device)

opti = Adam(model.parameters())
criterion = MCHADLoss(
    n_classes=10, n_dim=embedding_dim, weight_oe=0.01, weight_center=2, margin=margin
).to(device)
scheduler = CosineAnnealingLR(opti, T_max=n_epochs * len(train_loader))

Define a function that evaluates the model

def test():
    metrics = OODMetrics()
    acc = Accuracy(num_classes=10)

    model.eval()

    with torch.no_grad(), tqdm(test_loader, desc="Testing") as bar:
        for x, y in bar:
            # calculate embeddings
            z = model(x.to(device))
            # calculate the distance of each embedding to each center
            distances = criterion.distance(z).cpu()
            metrics.update(distances.min(dim=1).values, y)
            known = is_known(y)
            if known.any():
                acc.update(distances[known].min(dim=1).indices, y[known])

    print(metrics.compute())
    print(f"Accuracy: {acc.compute().item():.2%}")
    model.train()

Start training

for epoch in range(n_epochs):
    print(f"Epoch {epoch}")
    loss_ema = None

    with tqdm(train_loader, desc=f"Epoch {epoch}") as bar:
        for x, y in bar:
            # calculate embeddings
            z = model(x.to(device))
            # calculate the distance of each embedding to each center
            distances = criterion.distance(z)
            # calculate MCHAD loss, based on distances to centers
            loss = criterion(distances, y.cuda())
            opti.zero_grad()
            loss.backward()
            opti.step()
            scheduler.step()

            loss_ema = (
                loss.item() if not loss_ema else 0.99 * loss_ema + 0.01 * loss.item()
            )
            bar.set_postfix_str(
                f"loss: {loss_ema:.3f} lr: {scheduler.get_last_lr()[0]:.6f}"
            )

    test()

    # create new random split
    data_out_train, _ = random_split(
        tiny300k, [len(data_in_train), len(tiny300k) - len(data_in_train)]
    )
    train_loader = DataLoader(
        data_in_train + data_out_train,
        batch_size=batch_size,
        shuffle=True,
        num_workers=16,
    )