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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 · May 201319922001200920172026
7 results for choreography

Study periodic solutions in N-body problem, revealing braids with complex dynamics.

problem Periodic solutions of the planar Newtonian N-body problem with equal masses.
method Analyze braid structures derived from periodic solutions, proving pseudo-Anosov types.
result Braids from Yu's periodic solutions are pseudo-Anosov, with stretch factors reflecting complexity.

Since the foundational work of Chenciner and Montgomery in 2000 there has been a great deal of interest in choreographic solutions of the n-body problem: periodic motions where the n bodies all follow one another at regular intervals along a closed path. The principal approach combines variational methods with symmetry…

2013-05-02abs ↗pdf ↗

SOM-VQ tokenizes discrete models with semantic structure and navigable topology.

problem Lack of semantic structure in vector quantized representations limits interpretable human control.
method Combines vector quantization with Self-Organizing Maps to learn discrete codebooks with explicit topology.
result SOM-VQ produces more learnable token sequences and provides an explicit navigable geometry in code space.