Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a new algorithm based on linear programming that approximates the differential value function of an average-cost Markov decision process via a linear combination of pre-selected basis functions. The algorithm carries out a form of cost shaping and minimizes a version of Bellman error.  establish an error bound that scales gracefully with the number of states without imposing the (strong) Lyapunov condition required by its counterpart in [6].  propose a path-following method that automates selection of important algorithm parameters which represent counterparts to the "state-relevance ights" studied in [6].
['Daniela Pucci de Farias', 'Benjamin Van Roy']
I am writing a research paper on a idea A Cost-Shaping LP for Bellman Error Minimization with Performance Guarantees
[{"from": "human", "value": "I am writing a research paper on a idea A Cost-Shaping LP for Bellman Error Minimization with Performance Guarantees"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a new algorithm based on linear programming that approximates the differential value function of an average-cost Markov decision process via a linear combination of pre-selected basis functions. The algorithm carries out a form of cost shaping and minimizes a version of Bellman error.  establish an error bound that scales gracefully with the number of states without imposing the (strong) Lyapunov condition required by its counterpart in [6].  propose a path-following method that automates selection of important algorithm parameters which represent counterparts to the \"state-relevance ights\" studied in [6]."}]