{'fraction_non_alphanumeric': 0.013029315960912053, 'fraction_numerical': 0.0016286644951140066, 'mean_word_length': 5.612903225806452, '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}}
Distributed testing against independence with conferencing encoders

Motivated by distributed inference over big datasets problems, we study multi-terminal distributed hypothesis testing problems in which each terminal has data related to only one random variable. Due to the restriction of one-shot communication, we consider the distributed testing against independence problem when interaction among the encoders are allowed. Subject to type 1 error probability and communication rates constraints, we first provide a scheme for the general case and then show that this scheme is optimal for some special cases.