Visual anomaly detection (FOMO-AD)

Training visual anomaly detection models involves developing algorithms to identify unusual patterns or anomalies in image data that do not conform to the expected behavior. These models are crucial in various applications, including industrial inspection, medical imaging, and logistics.

For visual anomaly detection use cases, i.e. handling defect identification in computer vision applications, Edge Impulse provides the "FOMO-AD" learning block, or "Faster Objects, More Objects - Anomaly Detection" - based on the GMM anomaly detection algorithm and FOMO for fast object detection deployment on resource-constrained devices like microcontrollers.

Neural networks are powerful but have a major drawback: handling unseen data, like defects in a product during manufacturing, is a challenge due to their reliance on existing training data. Even entirely novel inputs often get misclassified into existing categories. Gaussian Mixture Models (GMMs) are clustering techniques that we can use for anomaly detection.

Gaussian Mixture Model (GMM)

A Gaussian Mixture Model represents a probability distribution as a mixture of multiple Gaussian (normal) distributions. Each Gaussian component in the mixture represents a cluster of data points with similar characteristics. Thus, GMMs work using the assumption that the samples within a dataset can be modeled using different Gaussian distributions.

Anomaly detection using GMM involves identifying data points with low probabilities. If a data point has a significantly lower probability of being generated by the mixture model compared to most other data points, it is considered an anomaly; this will output a high anomaly score.

GMM has some overlap with K-means, however, K-means clusters are always circular, spherical or hyperspherical when GMM can model elliptical clusters.

Setting up the Visual Anomaly Detection (FOMO-AD) learning block

The FOMO-AD learning block has one adjustable parameter: capacity. The neural network architecture is also adjustable.

Regardless of what resolution we intend to use for raw image input, we empirically get the best result for anomaly detection from using 96x96 ImageNet weights. We use 96x96 weights since we'll only being used the start of MobileNet to reduce to 1/8th input.

Capacity

The higher the capacity, the higher the number of (Gaussian) components, and the more adapted the model becomes to the original distribution.

Train

Click on Start training to trigger the learning process. Once trained you will obtain a trained model view that looks like the following:

Continue to the Model testing tab to see the performance results of your model.

Note: By definition, there should not be any anomalies in the training dataset, and thus accuracy is not calculated during training. Run Model testing to learn more about the model performance and to view per region anomalous scoring results.

Testing the Visual Anomaly Detection (FOMO-AD) learning block

Navigate to the Model testing page and click on Classify all:

Confidence threshold

In the example above, you will see that some samples have regions that are considered as no anomaly while the expected output is an anomaly. To adjust this prediction, you can set the Confidence thresholds, where you can also see the default or suggested value: "Suggested value is 16.6, based on the top anomaly scores in the training dataset.":

In this project, we have set the confidence threshold to 6. This gives results closer to our expectations:

• Cells with white borders are the ones that passed as anomalous, given the confidence threshold of the learning block.

• All cells are assigned a cell background color based on the anomaly score, going from blue to red, with an increasing opaqueness.

• Hover over the cells to see the scores.

• The grid size is calculated as (inputWidth / 8) / 2 - 1

Keep in mind that every project is different, and will thus use different suggested confidence thresholds depending on the input training data, please make sure to also validate your results in real conditions. The suggested threshold is np.max(scores) where scores are the scores of the training dataset.

How does it work?

1. During training, X number of Gaussian probability distributions are learned from the data where X is the number of components (or clusters) defined in the learning block page. Samples are assigned to one of the distributions based on the probability that it belongs to each. We use Sklearn under the hood and the anomaly score corresponds to the log-likelihood.

2. For the inference, we calculate the probability (which can be interpreted as a distance on a graph) for a new data point belonging to one of the populations in the training data. If the data point belongs to a cluster, the anomaly score will be low.

Additional resources

Interesting readings:

• Python Data Science Handbook - Gaussian Mixtures

• scikit-learn.org - Gaussian Mixture models

Public projects:

• Visual GMM cracks

• Thermostatic valve (FOMO-AD 96x96) - dataset collected by Edge Impulse