4 papers
A Robust Topological Framework for Detecting Regime Changes in Multi-Trial Experiments with Application to Predictive Maintenance
Anass B. El-Yaagoubi, Jean-Marc Freyermuth, Hernando Ombao
We present a general and flexible framework for detecting regime changes in complex, non-stationary data across multi-trial experiments. Traditional change point detection methods…
Dirichlet process mixture model based on topologically augmented signal representation for clustering infant vocalizations
Guillem Bonafos, Clara Bourot, Pierre Pudlo +4
Based on audio recordings made once a month during the first 12 months of a child's life, we propose a new method for clustering this set of vocalizations. We use a topologically a…
Topological data analysis of human vowels: Persistent homologies across representation spaces
Guillem Bonafos, Jean-Marc Freyermuth, Pierre Pudlo +2
Topological Data Analysis (TDA) has been successfully used for various tasks in signal/image processing, from visualization to supervised/unsupervised classification. Often, topolo…
Maxiset point of view for signal detection in inverse problems
Florent Autin, Marianne Clausel, Jean-Marc Freyermuth +1
This paper extends the successful maxiset paradigm from function estimation to signal detection in inverse problems. In this context, the maxisets do not have the same shape compar…