{'fraction_non_alphanumeric': 0.017377567140600316, 'fraction_numerical': 0.0, 'mean_word_length': 5.2772277227722775, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Generative Kernel PCA

Kernel PCA has shown to be a powerful feature extractor within many applications. Using the Restricted Kernel Machine formulation, a representation using visible and hidden units is obtained. This enables the exploration of new insights and connections between Restricted Boltzmann machines and kernel methods. This paper explores these connections, introducing a generative kernel PCA which can be used to generate new data, as well as denoise a given training dataset. This in a non-probabilistic setting. Moreover, relations with linear PCA and a preimage reconstruction method are introduced in this paper.