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arXiv 2102.02446cs.LGmath.GT
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非线性距离度量对基于核的药物处方预测系统的分析

The Analysis from Nonlinear Distance Metric to Kernel-based Drug Prescription Prediction System

Georgetown University(乔治城大学);Fu Jen Catholic University(辅仁大学)

Der-Chen Chang, Ophir Frieder, Chi-Feng Hung, Hao-Ren Yao

摘要:

距离度量及其非线性变体在基于机器学习的现实世界问题求解中起着至关重要的作用。我们展示了欧氏距离和余弦距离测量不仅在理论上而且在现实世界的医疗应用中的不同,即药物处方的结果预测。欧氏距离在局部几何问题中表现出良好的性质。在这方面,欧几里得距离可以应用于短期疾病,具有低变异结果观察。此外,当呈现高度变异的慢性疾病时,优选使用余弦距离。这些不同的几何性质导致了原始嵌入空间中不同的子流形,从而导致了不同的优化非线性核嵌入框架。我们首先建立了这些框架中所需的几何属性。从这些特性出发,从一定的角度解释了它们之间的差异。我们对真实世界的大规模电子健康记录和嵌入式空间可视化的评估经验验证了我们的方法。

英文摘要:

Distance metrics and their nonlinear variant play a crucial role in machine learning based real-world problem solving. We demonstrated how Euclidean and cosine distance measures differ not only theoretically but also in real-world medical application, namely, outcome prediction of drug prescription. Euclidean distance exhibits favorable properties in the local geometry problem. To this regard, Euclidean distance can be applied under short-term disease with low-variation outcome observation. Moreover, when presenting to highly variant chronic disease, it is preferable to use cosine distance. These different geometric properties lead to different submanifolds in the original embedded space, and hence, to different optimizing nonlinear kernel embedding frameworks. We first established the geometric properties that we needed in these frameworks. From these properties interpreted their differences in certain perspectives. Our evaluation on real-world, large-scale electronic health records and embedding space visualization empirically validated our approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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