arXiv subjects

Leonardo Aldo Alejandro Barberi

Publications and source records attributed to Leonardo Aldo Alejandro Barberi.

2 recordsLinked to original sources

arXiv2025

Topological Data Analysis for Unsupervised Anomaly Detection and Customer Segmentation on Banking Data

This paper introduces advanced techniques of Topological Data Analysis (TDA) for unsupervised anomaly detection and customer segmentation in banking data. Using the Mapper algorithm and persistent homology, we develop unsupervised procedures that uncover meaningful patterns in customers' banking data by exploiting topological information. The framework we present in this paper yields actionable insights that combine the abstract mathematical subject of topology with real-life use cases that are useful in industry.

cs.LG↗

arXiv2024

Hierarchical Clustering in $Λ$CDM Cosmologies via Persistence Energy

In this research, we investigate the structural evolution of the cosmic web, employing advanced methodologies from Topological Data Analysis. Our approach involves leveraging LITE, an innovative method from recent literature that embeds persistence diagrams into elements of vector spaces. Utilizing this methodology, we analyze three quintessential cosmic structures: clusters, filaments, and voids. A central discovery is the correlation between \textit{Persistence Energy} and redshift values, linking persistent homology with cosmic evolution and providing insights into the dynamics of cosmic structures.

astro-ph.CO↗