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Topological Data Analysis Ball Mapper for Finance

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arxiv 2206.03622 v1 pith:6ZLW6AIT submitted 2022-06-08 q-fin.GN

Topological Data Analysis Ball Mapper for Finance

classification q-fin.GN
keywords dataanalysisballmapperfinancetopologicalabilityalgorithm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Finance is heavily influenced by data-driven decision-making. Meanwhile, our ability to comprehend the full informational content of data sets remains impeded by the tools we apply in analysis, especially where the data is high-dimensional. Presenting the Topological Data Analysis Ball Mapper algorithm this paper illuminates a new means of seeing the detail in data from data shape. With comparisons to existing approaches and illustrative examples, the value of the new tool is shown. Directions for employing Ball Mapper in practice are given and the benefits are reviewed.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Three Axis Evaluation Framework for Mapper Algorithms

    math.AT 2026-06 unverdicted novelty 5.0

    The paper reviews a three-axis evaluation framework (stability, cluster quality, topological shape preservation) for Mapper algorithms, analyzes variants on synthetic and UCI Digits data, and finds the axes often conf...