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.
Introduces new structures in geometry and algebra.
We study the shifted analogue of the "Lie--Poisson" construction for algebroids and we prove that any algebroid naturally gives rise to shifted derived Poisson manifolds. We also investigate derived Poisson structures from a purely algebraic perspective and, in particular, we establish a homotopy …
Geometrically interpolates rigid body motions with initial and terminal twists.
Paper proves existence of knot solutions for specific equations.
We construct an infinite-dimensional information manifold based on exponential Orlicz spaces without using the notion of exponential convergence. We then show that convex mixtures of probability densities lie on the same connected component of this manifold, and characterize the class of densities for which this mixtur…
The paper examines the smoothness of solutions to a specific partial differential equation on smooth domains.
Paper uses Random Matrix Theory for optimal training-testing data split.
Ridgeless ReLU networks interpolate datasets and extrapolate based on curvature signs.