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.
Decomposes financial networks to reveal cause-effect hierarchies during crises.
A new method splits surface flow discretizations into streamfunctions and harmonic fields.
A graph theory approach defines curl and decomposes vector fields.
The Funk--Minkowski transform associates a function on the sphere with its mean values (integrals) along all great circles of the sphere. Thepresented analytical inversion formula reconstruct the unknown function completely if two Funk--Minkowski transforms, and ${…
A new Helmholtzian operator from point clouds for flow analysis.
Introduces new info-geometric structure for dynamics on graphs and hypergraphs.
Score matching errors are not sufficient for measuring diffusion model quality.
New geometric analysis shows score error is flawed for diffusion models.
Recent years have witnessed a trend that advanced mathematical tools, such as algebraic topology, differential geometry, graph theory, and partial differential equations, have been developed for describing biological macromolecules. These tools have considerably strengthened our ability to understand the molecular mech…