Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   relate the partition function to the max-statistics of random variables. In particular,  provide a novel framework for approximating and bounding the partition function using MAP inference on randomly perturbed models. As a result,  can use ecient MAP solvers such as graph-cuts to evaluate the corresponding partition function.  show that our method excels in the typical \high signal - high coupling" regime that results in ragged energy landscapes difcult for alternative approaches.
['Tamir Hazan', 'Tommi S. Jaakkola']
I am writing a research paper on a idea On the Partition Function and Random Maximum A-Posteriori Perturbations
[{"from": "human", "value": "I am writing a research paper on a idea On the Partition Function and Random Maximum A-Posteriori Perturbations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   relate the partition function to the max-statistics of random variables. In particular,  provide a novel framework for approximating and bounding the partition function using MAP inference on randomly perturbed models. As a result,  can use ecient MAP solvers such as graph-cuts to evaluate the corresponding partition function.  show that our method excels in the typical \\high signal - high coupling\" regime that results in ragged energy landscapes difcult for alternative approaches."}]