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How has machine learning been used in connection with formal language theory? 


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Machine learning has been used in connection with formal language theory to explore the relationship between neural network architectures and formal languages . Researchers have investigated the internal representations used by recurrent neural networks (RNNs) while learning to recognize regular formal languages. They have found that there is a decoding function that maps states of the RNN to states of the minimal deterministic finite automaton (MDFA) for the language . This decoding function maps RNN states to an abstraction obtained by clustering small sets of MDFA states into "superstates" . The results suggest a strong structural relationship between the internal representations used by RNNs and finite automata, providing insights into the ability of RNNs to recognize formal grammatical structure .

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Machine learning has been used to train recurrent neural networks (RNNs) to recognize regular formal languages, and to investigate the relationship between the internal representations of RNNs and finite automata.
The paper investigates the internal representations used by recurrent neural networks (RNNs) while learning to recognize a regular formal language, suggesting a strong structural relationship between RNNs and finite automata.
The paper discusses the connection between formal language theory and modern NLP, but it does not specifically mention how machine learning has been used in connection with formal language theory.
Machine learning has been used to represent, recognize, and generate words from specific languages by learning from positive and negative samples of words in the language.

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