Generalization of Moreau's identity to resolvents of any set-valued mapping, enabling Gabay duality and convergence analysis for nonmonotone inclusions via DR and ADMM.
Variable selection via nonconcave penalized likelihood and its oracle properties.Journal of the American Statistical Association, 96(456):1348–1360, 2001
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Resolvent Moreau identities without monotonicity: theory and applications to Gabay duality, Douglas--Rachford and ADMM
Generalization of Moreau's identity to resolvents of any set-valued mapping, enabling Gabay duality and convergence analysis for nonmonotone inclusions via DR and ADMM.