Research

🔬 My Research Focus

My research focuses on clustering longitudinal mixed-type data for modeling longitudinal surveys. I develop statistical methods that can handle the complexity of real-world data that evolves over time and contains different types of variables (continuous, ordinal, categorical). My work has applications in healthcare, social sciences, and survey research, particularly in understanding behavioral patterns and policy impacts over time.

I completed my PhD in Applied Mathematics at Université Lyon 2 under the supervision of Julien Jacques and Isabelle Prim-Allaz, with my thesis defended in May 2025.

🔍 Statistical Clustering

Finite mixture models for complex data structures

📊 Longitudinal Data

Time series analysis and temporal pattern recognition

🔀 Mixed-Type Data

Methods for heterogeneous data types

📖 Publications

Journal Articles

A Comparison of Migrant Integration Policies via Mixture of Matrix-Normals
Salvatore Leonardo Alaimo, Francesco Amato, Filomena Maggino, Alfonso Piscitelli, Emiliano Seri
Social Indicators Research, vol. 165, pp. 473–494 (2023)
Clustering longitudinal ordinal data via finite mixture of matrix-variate distributions
Francesco Amato, Julien Jacques, Isabelle Prim-Allaz
Statistics and Computing, vol. 34, article 81 (2024)

Under Review

MMM: Clustering Multivariate Longitudinal Mixed-type Data
Francesco Amato, Julien Jacques
Submitted to Computational Statistics and Data Analysis (2025)

PhD Thesis

Mixed data temporal clustering for modelling longitudinal surveys
Francesco Amato
PhD Thesis, Université Lumière Lyon 2 (Expected May 2025)
Supervisors: Julien Jacques, Isabelle Prim-Allaz
Laboratory: ERIC (Entrepôts, Représentation et Ingénierie des Connaissances)

🔬 Research Projects in Progress

Model-based Clustering for Longitudinal Mixed-type Data: a Survey
Ongoing Drafting
Literature survey on clustering methods for longitudinal, mixed-type and longitudinal mixed-type data, based on Chapter 3 (state of the art) of my PhD thesis.
MMMClust
Ongoing Implementation
R package implementing the MMM algorithm for clustering multivariate longitudinal mixed-type data. It will include comprehensive documentation, examples, and validation datasets.

🎯 Research Focus

🔧 Statistical Methodology
Development of finite mixture models specifically designed for longitudinal data with mixed variable types (continuous, ordinal, categorical). Focus on matrix-variate distributions and latent variable approaches.
📐 Mathematical Framework
Advanced probability theory, optimization algorithms (EM algorithm variations), and matrix calculus for handling complex data structures that evolve over time.
💡 Applied Research
Real-world applications in longitudinal surveys, social policy analysis, and financial data clustering with focus on practical implementation and interpretation.

💻 Software & Code

Research Code Repository
Reproducible code for published research papers with README files, sample datasets, and step-by-step analysis scripts available on my GitHub page. Some open, some available on request for collaboration purposes.