Ongoing projects
Teresa Arias Noguerales, PhD in Mathematics, U. Autónoma de Madrid. Co-directed with E. Hernández.
Topic: Machine learning and harmonic analysis.
Álvaro Ruiz Paredes, TFM (MSc in Mathematics) 2025/26, U. Autónoma de Madrid.
Topic: Invariant quantum machine learning.
Eva Gallego Herrero, TFG (Bachelor in Mathematics) 2025/26, U. Autónoma de Madrid.
Topic: Quantum Fourier Transform.
Past projects
Daniel López Montero, TFM (MSc in Mathematics) 2025, U. Autónoma de Madrid. Co-directed with R. Orive.
Physics-Informed Neural Networks.
Luis Miguel Sánchez Herreros, TFM (MSc in Mathematics) 2025, U. Autónoma de Madrid.
A comprehensive view on Transformers.
Cristina Cortés Espalza, TFG (Bachelor in Mathematics) 2025, U. Autónoma de Madrid.
Principios de incertidumbre en grupos de Lie.
Bruno Trombetta Eizaguirre, TFG (Bachelor in Mathematics) 2025, U. Autónoma de Madrid.
Inversion de la flecha del tiempo y dualidad de los procesos de Markov.
Peio Ibarrondo Murguialday, PhD in Mathematics 2025, U. Autónoma de Madrid. Co-directed with M. Bonforte.
Nonlocal porous medium equations and a PDE approach to machine learning.
Javier Martinez Peco, TFG (Bachelor in Mathematics) 2024, U. Autónoma de Madrid.
Modelos de difusión y reversión temporal en cadenas de Markov discretas.
José Luis Arribas Del Barco, TFG (Bachelor in Mathematics) 2024, U. Autónoma de Madrid. Co-directed with E. Hernández.
Aprendizaje de diccionarios óptimos con invariancias de grupos para sonidos.
Luis Miguel Sánchez Herreros, TFG (Bachelor in Mathematics) 2024, U. Autónoma de Madrid. Co-directed with E. Hernández.
Aprendizaje de diccionarios óptimos por invarianza de grupos
Samuel Nevado Rodrigo, TFM (MSc in Mathematics) 2023, U. Autónoma de Madrid.
Transformers and recurrent neural networks.
Pablo Quintanilla Berriochoa, TFG (Bachelor in Mathematics) 2023, U. Autónoma de Madrid.
Neural networks optimization algorithms.
Marian Petrica, CIVIS Doctoral Fellowship, UAM-University of Bucharest (PhD Director: I. Popescu)
Topic: Recurrent neural networks and dynamical systems.
Alicia García-Mascaraque Herrera, TFG (Bachelor in Mathematics) 2022, U. Autónoma de Madrid.
Redes neuronales y teoremas de aproximación.
Jorge Santisteban Rivas, TFG (Bachelor in Mathematics) 2022, U. Autónoma de Madrid.
Métodos adaptativos para el aprendizaje con redes neuronales.
Marina Alonso-Cortés Lledó, TFG (Bachelor in Mathematics) 2022, U. Autónoma de Madrid. Co-directed with M. González
Análisis geométrico y modelos neuronales. Geometría subriemanniana de SE(2) y la ecuación de Fokker-Planck. Chow, Frobenius y Hörmander.
Alejandro Bravo de la Serna, TFG (Bachelor in Mathematics) 2022, U. Autónoma de Madrid. Co-directed with M. González
Análisis geométrico y modelos neuronales: Percepción Geométrica.
Matteo Framba, Tesi Magistrale (MSc in Mathematics) 2021, U. di Bologna. Co-directed with G. Citti.
Policy gradient: reinforcement learning and optimal transport.
Teresa Arias Noguerales, TFM (MSc in Mathematics) 2021, U. Autónoma de Madrid. Co-directed with E. Hernández.
Scattering transform and deep convolutional neural networks.
Javier Delgado de Cerro, TFG (Bachelor in Mathematics) 2021, U. Autónoma de Madrid.
Traditional and Long Short-Term Memory recurrent neural networks: A theoretical and applied comparison.
Mario García Pascual, TFG (Bachelor in Mathematics) 2021, U. Autónoma de Madrid.
Dynamic programming and reinforcement learning.
Javier Urosa del Valle, TFG (Bachelor in Mathematics) 2021, U. Autónoma de Madrid.
Fundamentos de Análisis Complejo en Variedades CR.
Peio Ibarrondo Murguialday, TFM (MSc in Mathematics) 2020, U. Autónoma de Madrid.
Deep Approximation and Stochastic Gradient Descent.
Daniel Rodríguez López, TFM (MSc in Mathematics) 2020, U. Autónoma de Madrid.
Convex Optimization and Sparse Coding for Image Processing.
Carlos Isasa Martín, TFG (Bachelor in Mathematics) 2020, U. Autónoma de Madrid.
Mathematical Neuroscience of Unsupervised and Reinforcement Learning.
Cristina Jiménez Palomo, TFG (Bachelor in Mathematics) 2020, U. Autónoma de Madrid.
Variables estables de Lévy y modelos de Pareto para la distribución de la riqueza.
Viviana Tarullo, Tesi Magistrale (MSc in Mathematics) 2019, U. di Bologna. Co-directed with G. Citti and N. Montobbio. In collaboration with INAIL.
Artificial Neural Networks for Classification of EMG Data in Hand Myoelectric Control.
Roberto Téllez Domínguez, TFG (Bachelor in Mathematics) 2019, U. Autónoma de Madrid.
Representations of Compact Groups.
Martina Giacobbe, Tesi Magistrale (MSc in Mathematics) 2018, U. di Bologna. Co-directed with G. Citti. In collaboration with INAIL.
Analysis of Transient States in EMG Signals with Applications to Robotic Prostheses.
Carlos Arias Alcaide, TFG (Bachelor in Mathematics) 2018, U. Autónoma de Madrid. Co-directed with A. Baíllo. In collaboration with MD Anderson.
Radiómica: las imágenes médicas como datos.
Rubén Rubio Cuéllar, TFM (MSc in Mathematics) 2017, U. Autónoma de Madrid.
Abstract Harmonic Analysis and Brain’s Visual Image Representation.
Camille Laur, Stage L3 (Bachelor in Mathematics) 2017, U. Toulouse III - Sabatier.
The Uncertainty Principle.
Simona Baccherini, Tesi Magistrale (MSc in Mathematics) 2016, U. di Bologna. Co-directed with G. Citti. In collaboration with INAIL.
Pattern Recognition Methods for EMG Prosthetic Control.
Roberto González Martín, TFM (MSc in Mathematics) 2015, U. Autónoma de Madrid. Co-directed with E. Hernández. In collaboration with CNIC.
Shearlets and Edge Detection.
Giacomo Cocci, Tesi Magistrale (MSc in Bioengineering) 2011, U. di Bologna. Co-directed with A. Sarti.
Spatio-temporal Models of Cell Receptive Fields in the Primary Visual Cortex.