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arXiv research

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.

168,694 papers · 148 categories

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2 results for “hyper-dual”

Ruled surfaces and hyper-dual tangent sphere bundlemath.DG

Study defines hyper-dual spheres and ruled surfaces, proving geometric relationships.

problem Understanding geometric properties of hyper-dual spheres and ruled surfaces.

method Defined hyper-dual spheres, developed ruled surfaces, and established geometric relationships.

result Proved isomorphism between hyper-dual sphere and tangent bundle, and geometric interpretation of ruled surfaces.

hyper-dual vectors tangent bundle ruled surfaces developability geometric interpretation

2024-12-02abs ↗pdf ↗

Second-Order Forward-Mode Automatic Differentiation for Optimizationcs.LG

Paper introduces FoMoH for optimization without backpropagation.

problem Optimizing machine learning models without backpropagation.

method Second-order hyperplane search, forward-mode stochastic gradient method, hyper-dual numbers, FoMoH.

result Developed a novel optimization algorithm that avoids backpropagation.

optimization machine learning second-order forward-mode hyper-dual

2024-08-19abs ↗pdf ↗