{'fraction_non_alphanumeric': 0.008944543828264758, 'fraction_numerical': 0.0, 'mean_word_length': 5.511627906976744, '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}}
Approximating state sets using circumscribing polyhedron with fewer facets

A polyhedron can be described using a set of linear constraints that bound the polyhedron. This paper considers the problem of approximating a polyhedron with a circumscribing polyhedron with fewer constraints. We discuss three methods to find such a circumscribing polyhedra, and compare the resulting approximation errors using sets of randomly generated polyhedra. The work is motivated by the problem of approximating state estimate sets for a class of uncertain dynamic systems.