Mon, 11 May 2026

14:00 - 15:00
Lecture Room 3

Smooth, globally Polyak-Łojasiewicz functions are nonlinear least-squares

Associate Professor Nicolas Boumal
(École Polytechnique Fédérale de Lausanne - EPFL)
Abstract

Polyak-Łojasiewicz (PŁ) functions abound in the literature, especially in nonconvex optimization. When they are also smooth, they become surprisingly simple---with an exotic twist. The plan is for us to discover the structure of those functions and of their sets of minimizers via gradient flow and fiber bundles.

Joint work with Christopher Criscitiello and Quentin Rebjock.

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