Artificial Neural Network Approach to the Analytic Continuation Problem

Understand

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 Monte Carlo calculations and simulated Green's function data demonstrates its high accuracy.