2 papers
cs.LG2026
Neural Legendre-Fenchel transform with Hessian Preconditioning
Basile Plus-Gourdon, Frank Nielsen
The Legendre-Fenchel (LF) transform is a fundamental tool in convex analysis and machine learning that maps lower semi-continuous functions to their convex conjugates. In practice,…
cs.CG2026
Quadratic polarity and polar Fenchel-Young divergences from the canonical Legendre polarity
Frank Nielsen, Basile Plus-Gourdon, Mahito Sugiyama
Polarity is a fundamental reciprocal duality of -dimensional projective geometry which associates to points polar hyperplanes, and more generally -dimensional convex bodies t…