The problem of self-interaction effects and errors arises in studies of, for example, anions, electrons, atoms and molecules.
It also arises in developing a theory of network effects in connection with network entropy (for example, https://arxiv.org/abs/0803.1443 ). In the network case, the concept of degrees of freedom leads to an apparent resolution.
Does the network case generalize?
Maybe this articles is right for you: Takao Tsuneda and Kimihiko Hirao, Self-interaction corrections in density functional theory. J. Chem. Phys. 140, 18A513 (2014); https://doi.org/10.1063/1.4866996.
Daniel Vieira and K. Capelle, Investigation of Self-Interaction Corrections for an Exactly Solvable Model System: Orbital Dependence and Electron Localization.J. Chem. Theory Comput. 2010, 6, 11, 3319–3329
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