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

DOI10.1088/1361-6420/AA8D93zbMath1379.65097OpenAlexW2756291233MaRDI QIDQ4597567

Richard Neuberg, Andrew J. Millis, Louis-François Arsenault, Lauren Hannah

Publication date: 13 December 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/aa8d93

zbMATH Keywords

stabilitynumerical exampleregularizationanalytical continuationmachine learningFredholm integrals equations of the first kind

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (5)

Analytic continuation of noisy data using Adams Bashforth residual neural network ⋮ ACFlow: an open source toolkit for analytic continuation of quantum Monte Carlo data ⋮ Progress on stochastic analytic continuation of quantum Monte Carlo data ⋮ A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression ⋮ Applications of domain adversarial neural network in phase transition of 3D Potts model

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