3 papers
q-fin.ST2026
Financial Anomaly Detection for the Canadian Market
Luigi Caputi, Nicholas Meadows
In this work we evaluate the performance of three classes of methods for detecting financial anomalies: topological data analysis (TDA), principal component analyis (PCA), and Neur…
math.CO2025
Eulerian magnitude homology: diagonality, injective words, and regular path homology
Luigi Caputi, Giuliamaria Menara
In this paper we explore the algebraic structure and combinatorial properties of eulerian magnitude homology. First, we analyze the diagonality conditions of eulerian magnitude hom…
math.AT2024
Integral Betti signature confirms the hyperbolic geometry of brain, climate, and financial networks
Luigi Caputi, Anna Pidnebesna, Jaroslav Hlinka
This paper extends the possibility to examine the underlying curvature of data through the lens of topology by using the Betti curves, tools of Persistent Homology, as key topologi…