Anomaly Detection with Tensor Networks
arXiv:2006.02516
Abstract
Originating from condensed matter physics, tensor networks are compact representations of high-dimensional tensors. In this paper, the prowess of tensor networks is demonstrated on the particular task of one-class anomaly detection. We exploit the memory and computational efficiency of tensor networks to learn a linear transformation over a space with dimension exponential in the number of original features. The linearity of our model enables us to ensure a tight fit around training instances by penalizing the model's global tendency to a predict normality via its Frobenius norm---a task that is infeasible for most deep learning models. Our method outperforms deep and classical algorithms on tabular datasets and produces competitive results on image datasets, despite not exploiting the locality of images.
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- Tensor Networks for Explainable Machine Learning in Cybersecurity
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- Cons-training Tensor Networks: Embedding and Optimization Over Discrete Linear Constraints
- Tensorization of neural networks for improved privacy and interpretability