christoffel-function

CLOE is a new semi-supervised anomaly detection method combining an autoencoder with a Christoffel Function-based detector, using a novel loss function to improve representation learning. It achieves state-of-the-art results on high-dimensional tabular data while maintaining simplicity.

This paper establishes a characterization of the sum-of-squares degree barriers for the reweighted-hinge method in robust halfspace learning using the Christoffel function, revealing a margin-degree tradeoff and explicit outlier barriers.

This paper introduces Christoffel-DPS, a distribution-free framework for optimal sensor placement in diffusion posterior sampling that outperforms classical Gaussian-based methods. It provides theoretical guarantees and practical improvements for reconstructing states from complex, non-Gaussian distributions using generative models.