{'fraction_non_alphanumeric': 0.01594896331738437, 'fraction_numerical': 0.0, 'mean_word_length': 5.680851063829787, '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}}
On the fundamental properties of fully quaternionic hopfield network

Choosing an appropriate activation function is a challenging problem in quaternionic neural networks, due to the analyticity in quaternionic domain. This paper presents a Hopfield-type neural network with an activation function with quaternionic equivalent of tanh function. This activation function is obtained by incorporating so-called “local analyticity” on quaternionic domain and the recent results on complex-valued activation functions. The stability of the network is shown by proving monotonic decrease of energy with the changes of neuron states.