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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.

168,742 papers · 148 categories

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3 results for “2D-curves”

On canonical parameterizations of 2D-shapesmath.DG

The paper introduces various canonical parameterizations for 2D-curved shapes.

problem Comparing unparameterized simple curves in the plane.

method Proposes diverse canonical parameterizations, including arc-length and curvature-based.

result Natural parameterizations correspond to physical movements and are geometric invariants.

2D-shapes canonical parameterizations arc-length curvature unparameterized curves

2023-03-27abs ↗pdf ↗

Geometric Learning of Canonical Parameterizations of

2D

-curvescs.CV

Method learns symmetries in curves without augmentation.

problem Symmetries in datasets like rotations and scalings.

method Geometric learning using principal fiber bundles.

result 2-parameter family of canonical curve parameterizations.

symmetry learning geometric learning curves canonical parameterization 2D-curves

2025-09-30abs ↗pdf ↗

Benchmarks for Image Classification and Other High-dimensional Pattern Recognition Problemsstat.ML

A good classification method should yield more accurate results than simple heuristics. But there are classification problems, especially high-dimensional ones like the ones based on image/video data, for which simple heuristics can work quite accurately; the structure of the data in such problems is easy to uncover wi…

2018-06-13abs ↗pdf ↗