Projected regression method for solving Fredholm integral equations arising in the analytic continuation problem of quantum physics

We present a supervised machine learning approach to the inversion of Fredholm integrals of the first kind as they arise, for example, in the analytic continuation problem of quantum many-body physics. The approach provides a natural regularization for the ill-conditioned inverse of the Fredholm ker...

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Veröffentlicht in:	Inverse problems 2017-11, Vol.33 (11), p.115007
Hauptverfasser:	Arsenault, Louis-François, Neuberg, Richard, Hannah, Lauren A, Millis, Andrew J
Format:	Artikel
Sprache:	eng
Schlagworte:	analytical continuation integral equations machine learning regularization
Online-Zugang:	Volltext
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