RSOM applies dictionary learning to discover a sparse dictionary that conditions the analytic continuation inverse problem, yielding competitive results on synthetic tests and finite-temperature electron gas QMC data.
Identifying the maximum entropy method as a special limit of stochastic analytic continuation
9 Pith papers cite this work. Polarity classification is still indexing.
9
Pith papers citing it
abstract
The maximum entropy method is shown to be a special limit of the stochastic analytic continuation method introduced by Sandvik [Phys. Rev. B 57, 10287 (1998)]. We employ a mapping between the analytic continuation problem and a system of interacting classical fields. The Hamiltonian of this system is chosen such that the determination of its ground state field configuration corresponds to an unregularized inversion of the analytic continuation input data. The regularization is effected by performing a thermal average over the field configurations at a small fictitious temperature using Monte Carlo sampling. We prove that the maximum entropy method, the currently accepted state of the art, is simply the mean field limit of this fully dynamical procedure. We also describe a technical innovation: we suggest that a parallel tempering algorithm leads to better traversal of the phase space and makes it easy to identify the critical value of the regularization temperature.
citation-role summary
method 1
citation-polarity summary
verdicts
UNVERDICTED 9roles
method 1polarities
use method 1representative citing papers
Introduces target-wise model-adequacy tests on Euclidean-admissible mock correlators to evaluate coverage properties of reported spectral uncertainties in lattice QCD reconstructions.
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
Cavity photons undergo a Mott transition that mirrors the electronic Gross-Neveu criticality, with the electron-photon coupling irrelevant at the critical point.
Dynamical magnetotropic susceptibility k(ω) acts as a probe of uniform spin and charge fluctuations, with its static scaling in α-RuCl3 arising specifically from dominant Kitaev interactions in the models examined.
QMC study with parton construction finds second-order deconfined criticality between Néel antiferromagnet and d-wave superconductor, with gapless Dirac dispersion in the SC phase.
Hubbard operator method captures coupling between localized and itinerant electrons in the topological heavy fermion model, agreeing with DQMC while local approximations like Hubbard-I fail.
QMC simulations of a hedgehog-suppressed electron-boson model show the electron gap resembles mean-field AF dispersion while preserving symmetries.
Lattice DQMC simulations of mixed QED3 with flavor chemical potential identify a chiral flux phase featuring spontaneous emergent gauge flux, broken U(1)m symmetry, and relativistic Landau levels for Dirac fermions.
citing papers explorer
-
Discovering a well-conditioned analytic continuation problem via dictionary learning
RSOM applies dictionary learning to discover a sparse dictionary that conditions the analytic continuation inverse problem, yielding competitive results on synthetic tests and finite-temperature electron gas QMC data.
-
Conditional Model-Adequacy Tests for Spectral Uncertainty Claims in Lattice QCD
Introduces target-wise model-adequacy tests on Euclidean-admissible mock correlators to evaluate coverage properties of reported spectral uncertainties in lattice QCD reconstructions.
-
Certified spectral functions from lattice Monte Carlo data
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
-
Mott transition of photons: quantum Monte Carlo study of Gross-Neveu criticality in a cavity
Cavity photons undergo a Mott transition that mirrors the electronic Gross-Neveu criticality, with the electron-photon coupling irrelevant at the critical point.
-
Dynamical magnetotropic susceptibility as a new probe of Kitaev materials and beyond
Dynamical magnetotropic susceptibility k(ω) acts as a probe of uniform spin and charge fluctuations, with its static scaling in α-RuCl3 arising specifically from dominant Kitaev interactions in the models examined.
-
Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
QMC study with parton construction finds second-order deconfined criticality between Néel antiferromagnet and d-wave superconductor, with gapless Dirac dispersion in the SC phase.
-
Correlated Mott semi-metal in the topological heavy fermion model
Hubbard operator method captures coupling between localized and itinerant electrons in the topological heavy fermion model, agreeing with DQMC while local approximations like Hubbard-I fail.
-
Quantum Monte Carlo fermion spectroscopy of a non-compact CP$^1$ model
QMC simulations of a hedgehog-suppressed electron-boson model show the electron gap resembles mean-field AF dispersion while preserving symmetries.
-
Emergent gauge flux in mixed QED$_3$ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
Lattice DQMC simulations of mixed QED3 with flavor chemical potential identify a chiral flux phase featuring spontaneous emergent gauge flux, broken U(1)m symmetry, and relativistic Landau levels for Dirac fermions.