Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider probabilistic automata on a general state space and study their computational por. The model is based on the concept of language recognition by probabilistic automata due to Rabin (Inform. Control 3 (1963) 230) and models of analog computation in a noisy environment suggested by Maass and Orponen (Neural Comput. 10 (1998) 1071), and Maass and Sontag (Neural Comput. 11 (1999) 771). Our main result is a generalization of Rabin's reduction theorem that implies that under very mild conditions, the computational por of such automata is limited to regular languages.
['Asa Ben-Hur', 'Alexander Roitershtein', 'Hava T. Siegelmann']
I am writing a research paper on a idea On probabilistic analog automata
[{"from": "human", "value": "I am writing a research paper on a idea On probabilistic analog automata"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider probabilistic automata on a general state space and study their computational por. The model is based on the concept of language recognition by probabilistic automata due to Rabin (Inform. Control 3 (1963) 230) and models of analog computation in a noisy environment suggested by Maass and Orponen (Neural Comput. 10 (1998) 1071), and Maass and Sontag (Neural Comput. 11 (1999) 771). Our main result is a generalization of Rabin's reduction theorem that implies that under very mild conditions, the computational por of such automata is limited to regular languages."}]