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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 · Apr 201019922001200920172026
8 results for magnification

New model improves histopathology classification across magnifications.

problem Robust histopathology classification is difficult due to magnification shift.
method Domain-general model using stable sparse embedding signatures.
result Domain-general model outperformed baseline and GAN augmentation.

An axiomatic approach to signal reconstruction is formulated, involving a sample consistent set and a guiding set, describing desired reconstructions. New frame-less reconstruction methods are proposed, based on a novel concept of a reconstruction set, defined as a shortest pathway between the sample consistent set and…

2017-02-02abs ↗pdf ↗

Once one knows that singularities occur, one naturally wonders what the singularities are like. For minimal varieties the first answer, already known to Federer-Fleming in 1959, is that they weakly resemble cones. For mean curvature flow, by the combined work of Huisken, Ilmanen, and White, singularities weakly resembl…

2013-12-14abs ↗pdf ↗

Training shapes the geometry of neural network feature maps, revealing local area magnification.

problem Understanding how training affects the geometric structure of neural network feature maps.
method Analyzing the Riemannian geometry induced by neural network feature maps at infinite width and after training.
result Training breaks the symmetry of the geometry induced by random neural network feature maps, magnifying local areas along decision boundaries.

A compact Riemann surface is derived from a moduli space of equilateral pentagons.

problem Understanding the moduli space of equilateral pentagons and its geometric properties.
method Geometric and differential geometry, using Riemannian metrics and isometries.
result The moduli space of equilateral pentagons is conformally embedded in the hyperbolic plane as the Bring sextic.