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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “delta-convex”

Delta-convex structure of the singular set of distance functionsmath.AP

Study shows singular set of distance functions is delta-convex.

problem Understanding singular set of distance functions in Finsler manifolds.

method Proved singular set is delta-convex hypersurfaces or Jordan arcs up to exceptional sets.

result Optimal results in Finsler manifolds, even in Euclidean space.

distance function singular set Finsler manifold delta-convex Jordan arc

2022-04-22abs ↗pdf ↗

Near-optimal delta-convex estimation of Lipschitz functionsstat.ML

Paper presents an efficient algorithm for estimating Lipschitz functions from noisy data.

problem Estimating unknown Lipschitz functions from noisy observations.

method Extends max-affine methods to Lipschitz setting using nonlinear feature expansion and adaptive partitioning.

result Achieves minimax convergence rate with respect to intrinsic dimension, up to logarithmic factors.

Lipschitz functions estimation noisy data max-affine methods delta-convex functions

2025-11-19abs ↗pdf ↗

Normal cycles and curvature measures of sets with d.c. boundarymath.DG

We show that for every compact domain in a Euclidean space with d.c. (delta-convex) boundary there exists a unique Legendrian cycle such that the associated curvature measures fulfil a local version of the Gauss-Bonnet formula. This was known in dimensions two and three and was open in higher dimensions. In fact, we sh…

2012-09-11abs ↗pdf ↗