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.
Log-concavity proven for multinomial likelihoods under specific constraints.
We achieve a finite regret bound of O(dlogd) for online inverse linear optimization with M-convex action sets.
We prove a complete family of `cylindrical estimates' for solutions of a class of fully non-linear curvature flows, generalising the cylindrical estimate of Huisken-Sinestrari for the mean curvature flow. More precisely, we show that, for the class of flows considered, an -convex () solution bec…
We provide tight upper and lower bounds on the complexity of minimizing the average of convex functions using gradient and prox oracles of the component functions. We show a significant gap between the complexity of deterministic vs randomized optimization. For smooth functions, we show that accelerated gradient de…
The study proves that certain manifolds with boundary cannot have metrics with positive intermediate curvatures.
The paper introduces a new differential-geometric system which originates from the theory of -Hessian operators. The core of this system is a new notion of invariant differentiation on multidimensional surfaces. This novelty gives rise to the following absolute geometric invariants: invariant derivatives of the surf…
Preserves positive intermediate curvature on manifolds.
New findings on domains without parabolic minimal submanifolds and weakly hyperbolic domains.
A-manifolds and A-bundles are manifolds and vector bundles modelled on a projective finitely generated module over a topological algebra A. In this paper we investigate the conditions under which an A-bundle is provided with an A-valued hermitian structure and a compatible connection, in case A is a commutative complet…