Inverse Problems in PDF determinations
Luigi Del Debbio, Alessandro Candido, Tommaso Giani, Giacomo Petrillo
2023Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)15 citationsDOIOpen Access PDF
Abstract
The determination of Parton Distribution Functions from a finite set of data is a typical example of an inverse problem. Inverse problems are notoriously difficult to solve, in particular when a robust determination of the uncertainty in the result is needed. We present a Bayesian framework to deal with this problem and discuss first results from a closure test.
Topics & Concepts
Inverse problemInverseBayesian probabilityClosure (psychology)Computer scienceSet (abstract data type)Mathematical optimizationFinite setApplied mathematicsAlgorithmMathematicsArtificial intelligenceMathematical analysisProgramming languageEconomicsGeometryMarket economyParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsScientific Research and Discoveries