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Dec, 2021
通过量子动力学进行多流形学习
Manifold learning via quantum dynamics
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Akshat Kumar, Mohan Sarovar
TL;DR
利用图嵌入的量子动力学模拟算法计算采样流形上的测地线，并揭示了数据采样和量子化之间的有趣关系。
Abstract
We introduce an algorithm for computing
geodesics
on sampled manifolds that relies on simulation of
quantum dynamics
on a graph embedding of the sampled data. Our approach exploits classic results in semiclassica
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