Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider convex nonsmooth optimization problems where additional information with uncontrolled accuracy is readily available. It is often the case when the objective function is itself the output of an optimization solver, as for large-scale energy optimization problems tackled by decomposition. ,  study how to incorporate the uncontrolled linearizations into (proximal and level) bundle algorithms in view of generating better iterates and possibly accelerating the methods.  provide the convergence analysis of the algorithms using uncontrolled linearizations, and  present numerical illustrations showing they indeed speed up resolution of two stochastic optimization problems coming from energy optimization (two-stage linear problems and chance-constrained problems in reservoir management).
['Jérôme Malick', 'Welington de Oliveira', 'Sofia Zaourar']
I am writing a research paper on a idea Uncontrolled inexact information within bundle methods
[{"from": "human", "value": "I am writing a research paper on a idea Uncontrolled inexact information within bundle methods"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider convex nonsmooth optimization problems where additional information with uncontrolled accuracy is readily available. It is often the case when the objective function is itself the output of an optimization solver, as for large-scale energy optimization problems tackled by decomposition. ,  study how to incorporate the uncontrolled linearizations into (proximal and level) bundle algorithms in view of generating better iterates and possibly accelerating the methods.  provide the convergence analysis of the algorithms using uncontrolled linearizations, and  present numerical illustrations showing they indeed speed up resolution of two stochastic optimization problems coming from energy optimization (two-stage linear problems and chance-constrained problems in reservoir management)."}]