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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

Pawel Dlotko , Wanling Qiu , Simon Rudkin This is my paper · ORCID
classification q-fin.GN
keywords dataanalysisballmapperfinancetopologicalabilityalgorithm
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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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