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.
Study on sphere-valued maps, proving energy convergence and current limits.
New technique explains convergence in ML models with data modifications.
Paper studies central bank's strategy to control systemic risk in interbank system.
We prove a Gamma-convergence result for a family of bending energies defined on smooth surfaces in equipped with a director field. The energies strongly penalize the deviation of the director from the surface unit normal and control the derivatives of the director. Such type of energies for example arise…
Study proposes a nonlocal approximation of the Willmore functional using fractional Allen-Cahn energies.
The paper proves -convergence of discrete tangent-point energies to continuous energies and ropelength, with applications to biarc curves.
We introduce length dilatation structures on metric spaces, tempered dilatation structures and coherent projections and explore the relations between these objects and the Radon-Nikodym property and Gamma-convergence of length functionals. Then we show that the main properties of sub-riemannian spaces can be obtained f…
In this paper we are concerned with the learnability of energies from data obtained by observing time evolutions of their critical points starting at random initial equilibria. As a byproduct of our theoretical framework we introduce the novel concept of mean-field limit of critical point evolutions and of their energy…
Generative AI connects to Schrödinger bridge problems with soft constraints for stability.