On-device research index

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.

169,042 papers · 148 categories

Trend · papers per month

count % of corpus

4 results for “L-derivative”

Derivative Formulas in Measure on Riemannian Manifoldsmath.PR

Derivative formulas on measure spaces of Riemannian manifolds are characterized.

problem Characterizing derivatives in measure spaces on Riemannian manifolds.

method Introducing and characterizing derivatives in measure spaces for functions on the space of finite measures over a Riemannian manifold.

result Derivatives in measure spaces for functions on Riemannian manifolds are linked and calculated.

Riemannian manifolds measure derivatives extrinsic derivative intrinsic derivative L-derivative

2019-08-10abs ↗pdf ↗

The Light ray transform for pseudo-Euclidean metricsmath.DG

Study light ray transform in pseudo-Euclidean space, derive inversion formula, and prove stability.

problem Analyzing light ray transform in pseudo-Euclidean space.

method Investigate normal operator, derive inversion formula, analyze as Fourier Integral Operator.

result Derive an inversion formula and prove stability estimates.

ray transform pseudo-Euclidean space light rays Fourier Integral Operator stability estimates

2025-02-19abs ↗pdf ↗

Jacobi Fields in Optimal Control I: Morse and Maslov Indicesmath.OC

In this paper we discuss a general framework based on symplectic geometry for the study of second order conditions in constrained variational problems on curves. Using the notion of L-derivatives we construct Jacobi curves, which represent a generalization of Jacobi fields from the classical calculus of variations, but…

2018-10-06abs ↗pdf ↗

Rate of convergence for particle approximation of PDEs in Wasserstein spacemath.OC

Study shows rate of convergence for particle approximation of PDEs in Wasserstein space.

problem Analyzing convergence rates for particle approximations of PDEs in Wasserstein space.

method Backward stochastic differential equations techniques.

result Proved a rate of convergence of order 1/N for pathwise error and 1/sqrt(N) for L2-error on the derivative.

particle approximation PDEs Wasserstein space backward SDEs convergence rates

2021-03-01abs ↗pdf ↗