Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently, a cosparse analysis model was introduced as an alternative to the standard sparse synthesis model. This model was shown to yield uniqueness guarantees in the context of linear inverse problems, and a new reconstruction algorithm was provided, showing improved performance compared to analysis l 1  optimization. In this work  pursue the parallel beten the two models and propose a new family of algorithms mimicking the family of Iterative Hard Thresholding algorithms, but for the cosparse analysis model.  provide performance guarantees for algorithms from this family under a Restricted Isometry Property adapted to the context of analysis models, and  demonstrate the performance of the algorithms on simulations.
['Raja Giryes', 'Sangnam Nam', 'Rémi Gribonval', 'Mike E. Davies']
I am writing a research paper on a idea Iterative cosparse projection algorithms for the recovery of cosparse vectors
[{"from": "human", "value": "I am writing a research paper on a idea Iterative cosparse projection algorithms for the recovery of cosparse vectors"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently, a cosparse analysis model was introduced as an alternative to the standard sparse synthesis model. This model was shown to yield uniqueness guarantees in the context of linear inverse problems, and a new reconstruction algorithm was provided, showing improved performance compared to analysis l 1  optimization. In this work  pursue the parallel beten the two models and propose a new family of algorithms mimicking the family of Iterative Hard Thresholding algorithms, but for the cosparse analysis model.  provide performance guarantees for algorithms from this family under a Restricted Isometry Property adapted to the context of analysis models, and  demonstrate the performance of the algorithms on simulations."}]