Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Here  propose a convergence proof for the population based incremental learning (PBIL). In our approach, first,  model the PBIL by the Markov process and approximate its behavior using Ordinary Differential Equation (ODE). Then  prove that the corresponding ODE doesnt have any stable stationary points in [0,1]n, n is the number of variables, except the local maxima of the function to be optimized. Finally  show that this ODE and consequently the PBIL converge to one of these stable attractors.
['Reza Rastegar', 'Arash Hariri', 'M. Mazoochi']
I am writing a research paper on a idea A Convergence Proof for the Population Based Incremental Learning Algorithm
[{"from": "human", "value": "I am writing a research paper on a idea A Convergence Proof for the Population Based Incremental Learning Algorithm"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Here  propose a convergence proof for the population based incremental learning (PBIL). In our approach, first,  model the PBIL by the Markov process and approximate its behavior using Ordinary Differential Equation (ODE). Then  prove that the corresponding ODE doesn\u0092t have any stable stationary points in [0,1]n, n is the number of variables, except the local maxima of the function to be optimized. Finally  show that this ODE and consequently the PBIL converge to one of these stable attractors."}]