V. ManuelFernandez

collaborators

4 papers

math.MG2026

Isoperimetric Inequalities in the $ℓ_{\infty}$ cube and torus

Ben Baker, Joseph Briggs, Manuel Fernandez +1

We prove an exact isoperimetric inequality for cubes and tori under the $\ell_{\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollo…

math.FA2026

Improved $ℓ_{0}$ -Isoperimetry for Convex Bodies via Mass Transport

Manuel Fernandez

We study $ℓ_{0}$ isoperimetry for a convex body $K \subset R^{n}$ , $n \geq 2$ . For a Borel set $S \subset K$ , let $\partial_{0}^{K} S$ be the set of points in $K ∖ S$ that c…

stat.ML2026

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs

Manuel Fernandez, Yizhe Zhu

We study sparse threshold random geometric graphs generated by high-dimensional spherical or Gaussian latent vectors. Although each edge has marginal probability $p$ , shared latent…

stat.ML2026

Achieving the Kesten-Stigum bound in the non-uniform hypergraph stochastic block model

Manuel Fernandez, Ludovic Stephan, Yizhe Zhu

We study the community detection problem in the non-uniform hypergraph stochastic block model (HSBM), where hyperedges of varying sizes coexist. This setting captures higher-order…

Isoperimetric Inequalities in the ℓ∞​ cube and torus

Improved ℓ0​-Isoperimetry for Convex Bodies via Mass Transport

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs

Achieving the Kesten-Stigum bound in the non-uniform hypergraph stochastic block model

Isoperimetric Inequalities in the $ℓ_{\infty}$ cube and torus

Improved $ℓ_{0}$ -Isoperimetry for Convex Bodies via Mass Transport