Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Inference in Bayesian networks is known to be NP-hard, but if the network has bounded treewidth, then inference becomes tractable. Not surprisingly, learning networks that closely match the given data and have a bounded tree-width has recently attracted some attention.   aim to lay groundwork for future research on the topic by studying the exact complexity of this problem.  give the first non-trivial exact algorithm for the NP-hard problem of finding an optimal Bayesian network of tree-width at most w, with running time 3 n n w+O(1) , and provide an implementation of this algorithm. Additionally,  propose a variant of Bayesian network learning with “super-structures”, and show that finding a Bayesian network consistent with a given super-structure is fixedparameter tractable in the tree-width of the super-structure.
['Janne H. Korhonen', 'Pekka Parviainen']
I am writing a research paper on a idea Exact Learning of Bounded Tree-width Bayesian Networks
[{"from": "human", "value": "I am writing a research paper on a idea Exact Learning of Bounded Tree-width Bayesian Networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Inference in Bayesian networks is known to be NP-hard, but if the network has bounded treewidth, then inference becomes tractable. Not surprisingly, learning networks that closely match the given data and have a bounded tree-width has recently attracted some attention.   aim to lay groundwork for future research on the topic by studying the exact complexity of this problem.  give the first non-trivial exact algorithm for the NP-hard problem of finding an optimal Bayesian network of tree-width at most w, with running time 3 n n w+O(1) , and provide an implementation of this algorithm. Additionally,  propose a variant of Bayesian network learning with \u201csuper-structures\u201d, and show that finding a Bayesian network consistent with a given super-structure is fixedparameter tractable in the tree-width of the super-structure."}]