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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.

168,695 papers · 148 categories

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0111 · Jul 200819922001200920172026
7 results for quasimetric

In this article, we study the geodesic problem in a generalized metric space, in which the distance function satisfies a relaxed triangle inequality d(x,y)σ(d(x,z)+d(z,y))d(x,y)\leq σ(d(x,z)+d(z,y)) for some constant σ1σ\geq 1, rather than the usual triangle inequality. Such a space is called a quasimetric space. We show that many well-kn…

2008-07-22abs ↗pdf ↗

We provide an axiomatic approach to the theory of local tangent cones of regular sub-Riemannian manifolds and the differentiability of mappings between such spaces. This axiomatic approach relies on a notion of a dilation structure which is introduced in the general framework of quasimetric spaces. Considering quasimet…

2010-05-20abs ↗pdf ↗

Eikonal-Constrained QRL improves goal-reaching in reinforcement learning.

problem Reward design and out-of-distribution generalization in reinforcement learning.
method Eikonal-Constrained Quasimetric Reinforcement Learning (Eik-QRL) using the Eikonal PDE.
result Eik-QRL achieves state-of-the-art performance in offline goal-conditioned navigation and manipulation tasks.

Study finds abnormal paths on specific Lie groups using algebraic structures.

problem Identifying abnormal extremals on Lie groups with quasimetrics.
method Analyzing Lie algebras and seminorms to determine abnormal extremals.
result Established criterion for strong abnormality of extremals.