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An Introduction to Weakly Convex Functions

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Prof. Juan Enrique Martínez-Legaz, Universitat Autònoma de Barcelona

 

Chair: Prof.ssa Rossana Riccardi, Università degli Studi di Brescia

 

When: June 18th, 2026, 3.30 PM

Where: Aula B2, Contrada Santa Chiara 50

 

Convexity is central in optimization theory but fails in many realistic settings.

Weakly convex functions those that become convex after adding a quadratic term ) provide a tractable substitute.

In this talk, I will present the definition , key properties , and simple examples of weak convexity.

We will see that weakly convex functions retain useful features of convexity.

 

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