> Staerman, Guillaume. _Functional Anomaly Detection and Robust Estimation_. # Functional Anomaly Detection and Robust Estimation - Contaminated data and production line → robust learning, anomaly detection - Median-of-means, median-of-U - Data depth: non-parametric statistic which measures the centrality of an element. - Affine-invariant - Maximal at symmetry center - Monotone on rays - Vanishing at infinity - AI-IRW - Functional data depth: centrality of probability distribution - Functional isolation forest - Global perspectives: - More reliable neural networks - Adversarial attack detection and defense, out-of-distribution detection