Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a bilevel optimization approach for parame- ter learning in nonsmooth variational models. Existing approaches solve this problem by applying implicit differentiation to a sufficiently smooth approximation of the nondifferentiable lor level problem.  propose an alternative method based on differentiating the iterations of a nonlin- ear primal-dual algorithm. Our method computes exact (sub)gradients and can be applied also in the nonsmooth setting.  show preliminary results for the case of multi-label image segmentation.
['Peter Ochs', 'Rene Ranftl', 'Thomas Brox', 'Thomas Pock']
I am writing a research paper on a idea Bilevel Optimization with Nonsmooth Lower Level Problems
[{"from": "human", "value": "I am writing a research paper on a idea Bilevel Optimization with Nonsmooth Lower Level Problems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a bilevel optimization approach for parame- ter learning in nonsmooth variational models. Existing approaches solve this problem by applying implicit differentiation to a sufficiently smooth approximation of the nondifferentiable lor level problem.  propose an alternative method based on differentiating the iterations of a nonlin- ear primal-dual algorithm. Our method computes exact (sub)gradients and can be applied also in the nonsmooth setting.  show preliminary results for the case of multi-label image segmentation."}]