We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide an application of a projection algorithm, utilized and applied in frames theory, as a data driven reconstruction procedure in inverse problems, generalizing the algorithm proposed by the authors in Inverse Problems 36 (2020), n. 12, 125009, based on an orthonormalization procedure for the training pairs. We show some numerical experiments, comparing the different methods.

翻译：我们研究反向问题的正规化问题,采用纯粹的数据驱动方法,采用与预测法正规化方法相似的方法;我们提供一种预测算法的应用,在框架理论中加以利用和应用,作为一种数据驱动的重建程序,作为反向问题,将作者在反向问题36(2020年),第12页,第125009页中提出的算法概括化,根据对培训对象的正正正正化程序进行。我们展示了一些数字实验,比较不同的方法。