Showing 2026Show all
3 papers · 1 filter
math.FA2026
Presenting a proof of the Kannan-Lovasz-Simonovits conjecture
Pierre Bizeul, Boaz Klartag, Joseph Lehec
Together with Bourgain's slicing problem and the variance conjecture, the Kannan-Lovász-Simonovits (KLS) conjecture has been a driving force for mathematical developments in high d…
math.MG2026
Optimal MM* bounds for convex bodies
Pierre Bizeul
Let be a convex body in isotropic position. We prove the optimal mean-width estimate \[ M^*(K)\leq C\sqrt{n\log n}. \] The main new ingredient is a geometric inequal…
math.FA2026
Minimum Norm Interpolation via the Local Theory of Banach Spaces: The Role of -Uniform Convexity
Gil Kur, Pierre Bizeul
The minimum-norm interpolator (MNI) framework has recently attracted considerable attention as a tool for understanding generalization in overparameterized models, such as neural n…