Patrick Combettes

Area(s) of Expertise

Convex analysis, convex optimization, monotone operator theory, applied nonlinear analysis, computational data science.

Publications

• VARIATIONAL ANALYSIS OF PROXIMAL COMPOSITIONS AND INTEGRAL PROXIMAL MIXTURES , EVOLUTION EQUATIONS AND CONTROL THEORY (2025)
• A Perturbation Framework for Convex Minimization and Monotone Inclusion Problems with Nonlinear Compositions , MATHEMATICS OF OPERATIONS RESEARCH (2024)
• Hilbert direct integrals of monotone operators , CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES (2024)
• Integral Resolvent and Proximal Mixtures , JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2024)
• PROXIMITY OPERATORS OF PERSPECTIVE FUNCTIONS WITH NONLINEAR SCALING , SIAM JOURNAL ON OPTIMIZATION (2024)
• The geometry of monotone operator splitting methods (to appear, available on arxiv) , Acta Numerica (2024)
• The geometry of monotone operator splitting methods , ACTA NUMERICA (2024)
• Perspective functions with nonlinear scaling , COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2023)
• Resolvent and Proximal Compositions , SET-VALUED AND VARIATIONAL ANALYSIS (2023)
• A Variational Inequality Model for the Construction of Signals from Inconsistent Nonlinear Equations\ast , SIAM JOURNAL ON IMAGING SCIENCES (2022)

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