Juan Guillermo Diaz Ochoa

A unified Method for assessing the Observability of Dynamic Complex Systems

The paper introduces a method to assess causal relationships in dynamic biological systems using geometric information theory and persistent homology, demonstrating its application to ICU and wearable health data.

Relative distances between homology groups to assess persistent defects in time series

The paper introduces a method using homology groups to detect persistent anomalies in time series data from patients, aiming to improve model validity through pattern clustering and causal relationship identification.