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J. R. Manzanares

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#machine learning Preprint Jan 2026

Exact and Approximate Range Queries in Ball Mapper

The results establish a framework for controlled approximation rather than a universal speed advantage, and identify the geometric and combinatorial quantities that govern when approximate range search preserves the Ball Mapper summary.

Jay-Anne Bulauan, J. R. Manzanares · 0 citations
Preprint Aug 2026

A Probabilistic Interpretation of the Ball Mapper Graph

The resulting framework turns Ball Mapper into a probability-valued representation suitable for quantitative comparison while retaining its geometric interpretability and computational simplicity.

J. R. Manzanares, Jay-Anne Bulauan · 0 citations

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