Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean function f : {0,1} n ! { 1,1},  have Var(f) Âidi(T)Infi(f), where di(T) is the probability that the input variable xi is read by T and Infi(f) is the influence of the ith variable on f.
['Homin K. Lee']
I am writing a research paper on a idea Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
[{"from": "human", "value": "I am writing a research paper on a idea Decision Trees and Influence: an Inductive Proof of the OSSS Inequality"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean function f : {0,1} n ! { 1,1},  have Var(f) \u00c2idi(T)Infi(f), where di(T) is the probability that the input variable xi is read by T and Infi(f) is the influence of the ith variable on f."}]