Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a method for optimization with sums of exponentials subject to positivity constraints and apply it to the modeling of empirical probabilitydistribution functionsandto the design of IIR filters with non-negativeimpulse response. Our approach uses exponents in a sparse arithmetic progression and hence is able to transform the positivity condition to a polynomial form that is computationally tractable.  show how to obtain initial values for the exponents by sparsifying a full progression and then present an iterative optimization procedure using gradient steps. The modeling and design examples indicate a good behavior of our method.
['Bogdan Dumitrescu', 'Bogdan C. Sicleru']
I am writing a research paper on a idea Optimization with sums of exponentials and applications
[{"from": "human", "value": "I am writing a research paper on a idea Optimization with sums of exponentials and applications"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a method for optimization with sums of exponentials subject to positivity constraints and apply it to the modeling of empirical probabilitydistribution functionsandto the design of IIR filters with non-negativeimpulse response. Our approach uses exponents in a sparse arithmetic progression and hence is able to transform the positivity condition to a polynomial form that is computationally tractable.  show how to obtain initial values for the exponents by sparsifying a full progression and then present an iterative optimization procedure using gradient steps. The modeling and design examples indicate a good behavior of our method."}]