Author

V. ManuelFernandez

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Preprint Aug 2026

Improved $\ell_0$-Isoperimetry for Convex Bodies via Mass Transport

We study $\ell_0$ isoperimetry for a convex body $K\subset \mathbb{R}^n$, $n\ge2$. For a Borel set $S\subset K$, let $\partial_0^K S$ be the set of points in $K \setminus S$ that can be reached from $S$ by changing at most one coordinate (i.e. the $\ell_0$ boundary of $S$). Suppose that, for some unconditional convex b...

V. ManuelFernandez · 0 citations

Jul 2026

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

For the Gaussian mixture block model introduced there, a polynomial-time semidefinite program gives the first exact-recovery guarantee at the connectivity scale in a moderate-separation regime.

V. ManuelFernandez, Yizhe Zhu · arXiv.org · 1 citation