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.
New metrics for information geometry and machine learning from Lie groups.
The paper explores metrics on Lie groups and their connections to dual quaternions.
In this short note we study flat metric connections with antisymmetric torsion . The result has been originally discovered by Cartan/Schouten in 1926 and we provide a new proof not depending on the classification of symmetric spaces. Any space of that type splits and the irreducible factors are compact simple…