math.ST · 2026-06-07 · No. 16
Statistics Theory, 2026-06-07.
1 new papers in math.ST. Titles, authors,
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01 — The papers
1 entries-
01
How abundant are good interpolators?
August Y. Chen, Ahmed El Alaoui
math.ST · cs.LG · math.PR
Let $S$ be the set of unit norm linear classifiers $θ\in \mathbb{R}^d$ which correctly classify every point of a labeled dataset $(X_i,y_i)_{i=1}^n$, $X_i \in \mathbb{R}^d$, $y_i \in \{-1,+1\}$, with a possibly negative margin $κ$ fixed in advance. Under two natural data-generating distributions of the $(X,y)$ pairs -- a Gaussian mixture model and a logistic model with Gaussian features -- and in the proportional regime $n/d \to α$ with small...
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