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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.

168,695 papers · 148 categories

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0111 · Sep 200319922001200920172026
3 results for “Log-complexity”
Generative Neural Operators of Log-Complexity Can Simultaneously Solve Infinitely Many Convex Programscs.LG

Generative operators solve many convex problems with minimal parameters.

problem Worst-case parameter bounds limit the practical use of neural operators.
method Developed generative equilibrium operators (GEOs) using realizable finite-dimensional layers.
result GEOs can uniformly approximate solutions to convex optimization problems with logarithmic growth in parameters.
Neural operatorsConvex optimizationLog-complexityDeep equilibrium layersUniform approximation
2025-08-20abs ↗pdf ↗
B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theoremsmath.DG

Generalizes complex manifolds to manifolds with corners and generalized corners.

problem Tackles the extension of complex structures to manifolds with corners and generalized corners.
method Uses complex structures on the b-tangent bundle and proves a formal Newlander-Nirenberg type theorem.
result Proves that along each corner stratum, the b-complex structure agrees with a standard model to infinite order.
complex manifoldsgeneralized cornersb-tangent bundleNewlander-Nirenberg theoremKato-Nakayama space
2026-04-24abs ↗pdf ↗
Mirror Symmetry via Logarithmic Degeneration Data Imath.AG

This paper is the first arising from our project announced in math.AG/0211094, "Affine manifolds, log structures, and mirror symmetry." We aim to study mirror symmetry by studying the log structures of Illusie-Fontaine and Kato on degenerations of Calabi-Yau manifolds. The basic idea is that one can associate to certai…

2003-09-04abs ↗pdf ↗