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On Some Factorizations of Semi-Metric Cones and Quality Estimates of Heuristic Metrics in Data Analysis Problems
Doklady Mathematics ( IF 0.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s1064562420030230
K. V. Rudakov

Abstract An approach is proposed to consider heuristic metrics introduced and used in data analysis problems. In the approach, the entire information on pairwise distances expressed by numerical values is reduced to information on a metric belonging as a point of a semi-metric cone to corresponding subcones, which are elements of factor sets for proposed relations of kernel equivalences for mappings into formal index families.

中文翻译:

数据分析问题中半度量锥的一些分解和启发式度量的质量估计

摘要 提出了一种考虑在数据分析问题中引入和使用的启发式度量的方法。在该方法中,关于由数值表示的成对距离的全部信息被简化为关于属于作为半度量锥的点到相应子锥的度量的信息,这些是用于映射到的核等价的提议关系的因子集的元素正式索引族。
更新日期:2020-05-01
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