Web: http://arxiv.org/abs/2111.14760

Sept. 22, 2022, 1:12 a.m. | Lingxiao Wang, Shuzhe Shi, Kai Zhou

cs.LG updates on arXiv.org arxiv.org

Reconstructing spectral functions from Euclidean Green's functions is an
important inverse problem in many-body physics. However, the inversion is
proved to be ill-posed in the realistic systems with noisy Green's functions.
In this Letter, we propose an automatic differentiation(AD) framework as a
generic tool for the spectral reconstruction from propagator observable.
Exploiting the neural networks' regularization as a non-local smoothness
regulator of the spectral function, we represent spectral functions by neural
networks and use the propagator's reconstruction error to optimize …

arxiv differentiation

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