Artificial Neural Network Approach to the Analytic Continuation Problem.

@article{Fournier2020ArtificialNN,
  title={Artificial Neural Network Approach to the Analytic Continuation Problem.},
  author={Romain Fournier and Lei Wang and Oleg V. Yazyev and Quansheng Wu},
  journal={Physical review letters},
  year={2020},
  volume={124 5},
  pages={
          056401
        }
}
Inverse problems are encountered in many domains of physics, with analytic continuation of the imaginary Green's function into the real frequency domain being a particularly important example. However, the analytic continuation problem is ill defined and currently no analytic transformation for solving it is known. We present a general framework for building an artificial neural network (ANN) that solves this task with a supervised learning approach. Application of the ANN approach to quantum… 

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