核均值嵌入与核密度估计：量子视角

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-11-09 DOI:10.1016/j.physleta.2024.130047

Yann Berquin

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引用次数: 0

摘要

这项简短的研究探讨了核方法与量子力学之间的联系。代表样本波函数纯态集合的密度算子被用来代替概率密度，克劳斯算子被用来嵌入样本。结果表明，使用与不同量子系统相关的密度算子和嵌入样本，可以恢复核密度估计和核均值嵌入方程。使用离散正交小波变换的简单示例对结果进行了说明。

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Kernel mean embedding vs kernel density estimation: A quantum perspective

This short study investigates the link between kernel methods and quantum mechanics. Density operators representing ensembles of pure states of sample wave functions are used in place of probability densities and Kraus operator is used to embed samples. Results show that using density operators associated to different quantum systems along with embedded samples allows to recover kernel density estimation as well as kernel mean embedding equations. Results are illustrated with a simple example using discrete orthogonal wavelet transform.

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.