Robust Generative Restricted Kernel Machines using Weighted Conjugate Feature Duality

In the past decade, interest in generative models has grown tremendously. However, their training performance can be highly affected by contamination, where outliers are encoded in the representation of the model. This results in the generation of noisy data. In this paper, we introduce a weighted conjugate feature duality in the framework of Restricted Kernel Machines (RKMs). This formulation is used to fine-tune the latent space of generative RKMs using a weighting function based on the Minimum Covariance Determinant, which is a highly robust estimator of multivariate location and scatter. Experiments show that the weighted RKM is capable of generating clean images when contamination is present in the training data. We further show that the robust method also preserves uncorrelated feature learning through qualitative and quantitative experiments on standard datasets.