Patrick Combettes

Patrick L. Combettes is a Distinguished Professor in the Department of Mathematics at North Carolina State University. His research focuses on convex analysis, optimization, monotone operator theory, and computational data science. He holds a Habilitation à Diriger les Recherches from Université Paris-Saclay (1996). His work bridges theoretical foundations with practical applications in signal recovery, stochastic iterations, and operator splitting methods.

• Education: Habilitation à Diriger les Recherches, Université Paris-Saclay (1996)

Key research interests include:

• Convex optimization and monotone operator theory
• Proximal algorithms and operator splitting techniques
• Signal recovery and inverse problems
• Applications in data science and machine learning

His publications span stochastic algorithms, geometric frameworks, and variational analysis, with notable contributions to acta numerica and high-impact journals. He is affiliated with research groups in Control, Optimization, and Modeling, as well as Analysis and PDEs.

Current projects emphasize interdisciplinary applications of monotone operators in signal processing and machine learning frameworks.