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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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4 results for “Orlicz-Sobolev”

Affine statistical bundle modeled on a Gaussian Orlicz-Sobolev spacemath.ST

A new statistical model uses Orlicz-Sobolev spaces with Gaussian weight.

problem Statistical modeling of infinite-dimensional probability measures.

method Affine statistical bundle on Gaussian Orlicz-Sobolev space.

result Provides tools for solving infinite-dimensional evolution problems.

statistical manifold Orlicz-Sobolev space Gaussian weight non-parametric infinite-dimensional

2022-10-14abs ↗pdf ↗

An Efficient Orlicz-Sobolev Approach for Transporting Unbalanced Measures on a Graphstat.ML

A new method for transporting unbalanced measures on graphs efficiently.

problem Optimal transport for measures with unequal total masses on graph metric spaces.

method Developed a novel variant of entropy partial transport (Orlicz-EPT) with Orlicz geometric structure, leading to Orlicz-Sobolev transport (OST).

result OST can be efficiently computed by solving a univariate optimization problem, significantly faster than Orlicz-EPT.

Optimal Transport Unbalanced Measures Graph Metrics Orlicz-Sobolev Efficient Computation

2025-02-02abs ↗pdf ↗

Generalized Sobolev IPM for Graph-Based Measurescs.LG

Generalizes Sobolev IPM for graph-based measures using Orlicz geometric structure.

problem Limitation of Le et al. (2025) framework to

L^p

geometry.

method Generalizes Sobolev IPM through Orlicz geometric structure, employing convex functions to capture nuanced geometric relationships.

result GSI-M reduces to a simple univariate optimization problem, achieving remarkable computational efficiency.

Sobolev IPM Orlicz geometric structure Graph-based measures Optimal transport Musielak norm

2025-10-29abs ↗pdf ↗

Real Bers embedding on the line: Fisher-Rao linearization, Schwarzian curvature, and scattering coordinatesmath.DG

Develops a real-analytic embedding for diffeomorphisms of the line, linking to Fisher-Rao geometry.

problem Embedding diffeomorphisms of the line in a geometric framework.

method Real-analytic embedding,

L^p

Fisher-Rao geometry, Schwarzian curvature.

result Establishes a connection between diffeomorphisms and Fisher-Rao geometry, providing explicit geodesics and connections.

diffeomorphisms Fisher-Rao Schwarzian embedding geodesics

2026-02-07abs ↗pdf ↗