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5 papers

stat.ME2026

A Mathematical Framework for Topological Causal Data Analysis

Hugo Gobato Souto, Ioannis Diamantis

The paper proposes a mathematical framework called Topological Causal Data Analysis (TCDA) that integrates topological representations with causal inference, providing identificati…

nlin.CD2026

A Topological Framework for Atmospheric River Interaction Using Framed Braids

Ioannis Diamantis

Atmospheric Rivers (ARs) are filamentary moisture pathways responsible for a large fraction of extreme precipitation and often occur as interacting filament bundles within the same…

stat.ML2025

The Shape of Data: Topology Meets Analytics. A Practical Introduction to Topological Analytics and the Stability Index (TSI) in Business

Ioannis Diamantis

Modern business and economic datasets often exhibit nonlinear, multi-scale structures that traditional linear tools under-represent. Topological Data Analysis (TDA) offers a geomet…

stat.ML2025

Topology of Currencies: Persistent Homology for FX Co-movements: A Comparative Clustering Study

Pattravadee de Favereau de Jeneret, Ioannis Diamantis

This study investigates whether Topological Data Analysis (TDA) can provide additional insights beyond traditional statistical methods in clustering currency behaviours. We focus o…

stat.ML2025

The Shape of Consumer Behavior: A Symbolic and Topological Analysis of Time Series

Pola Bereta, Ioannis Diamantis

Understanding temporal patterns in online search behavior is crucial for real-time marketing and trend forecasting. Google Trends offers a rich proxy for public interest, yet the h…