Numerical study of quantum percolation

We study the density of states and the optical conductivity of the classical double-exchange model on a site percolated cluster.Comment: 2 pages, 2 figures, submitted to SCES 200

Representation Learning in Anomaly Detection: Successes, Limits and a Grand Challenge

In this perspective paper, we argue that the dominant paradigm in anomaly detection cannot scale indefinitely and will eventually hit fundamental limits. This is due to the a no free lunch principle for anomaly detection. These limitations can be overcome when there are strong tasks priors, as is the case for many industrial tasks. When such priors do not exists, the task is much harder for anomaly detection. We pose two such tasks as grand challenges for anomaly detection: i) scientific discovery by anomaly detection ii) a "mini-grand" challenge of detecting the most anomalous image in the ImageNet dataset. We believe new anomaly detection tools and ideas would need to be developed to overcome these challenges.Comment: Keynote talk at the Visual Anomaly and Novelty Detection Workshop, CVPR'2