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.
Rothkopf, Front
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Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
A sampling-based extension of Nevanlinna–Pick interpolation propagates lattice uncertainties into an error estimate that shrinks as more Euclidean data points are added.
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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.
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Nevanlinna-Pick interpolation from uncertain data
A sampling-based extension of Nevanlinna–Pick interpolation propagates lattice uncertainties into an error estimate that shrinks as more Euclidean data points are added.