Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider non-differentiable convex optimization problems that vary continuously in time and  propose algorithms that sample these problems at specific time instances and generate a sequence of converging near-optimal decision variables. This sequence converges up to a bounded error to the solution trajectory of the time-varying non-differentiable problems.  illustrate through analytical examples and a realistic numerical simulation the benefit of the algorithms in signal processing applications, e.g., for reconstructing time-varying sparse signals.
['Andrea Simonetto', 'Geert Leus']
I am writing a research paper on a idea On non-differentiable time-varying optimization
[{"from": "human", "value": "I am writing a research paper on a idea On non-differentiable time-varying optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider non-differentiable convex optimization problems that vary continuously in time and  propose algorithms that sample these problems at specific time instances and generate a sequence of converging near-optimal decision variables. This sequence converges up to a bounded error to the solution trajectory of the time-varying non-differentiable problems.  illustrate through analytical examples and a realistic numerical simulation the benefit of the algorithms in signal processing applications, e.g., for reconstructing time-varying sparse signals."}]