Supervising

Current projects

Topic: Machine learning and harmonic analysis.

Topic: Machine learning and PDEs.

Topic: Diffusion models in machine learning.

Topic: Diffusion models for artificial image generation.

Topic: Learning optimal group invariant dictionaries.

Topic: Learning optimal group invariant dictionaries.

Past projects

Transformers and recurrent neural networks.

Neural networks optimization algorithms.

Topic: Recurrent neural networks and dynamical systems.

Redes neuronales y teoremas de aproximación.

Métodos adaptativos para el aprendizaje con redes neuronales.

Análisis geométrico y modelos neuronales. Geometría subriemanniana de SE(2) y la ecuación de Fokker-Planck. Chow, Frobenius y Hörmander.

Análisis geométrico y modelos neuronales: Percepción Geométrica.

Policy gradient: reinforcement learning and optimal transport.

Scattering transform and deep convolutional neural networks.

Traditional and Long Short-Term Memory recurrent neural networks: A theoretical and applied comparison.

Dynamic programming and reinforcement learning.

Fundamentos de Análisis Complejo en Variedades CR.

Deep Approximation and Stochastic Gradient Descent.

Convex Optimization and Sparse Coding for Image Processing.

Mathematical Neuroscience of Unsupervised and Reinforcement Learning.

Variables estables de Lévy y modelos de Pareto para la distribución de la riqueza.

Artificial Neural Networks for Classification of EMG Data in Hand Myoelectric Control.

Representations of Compact Groups.

Analysis of Transient States in EMG Signals with Applications to Robotic Prostheses.

Radiómica: las imágenes médicas como datos.

Abstract Harmonic Analysis and Brain’s Visual Image Representation.

The Uncertainty Principle.

Pattern Recognition Methods for EMG Prosthetic Control.

Shearlets and Edge Detection.

Spatio-temporal Models of Cell Receptive Fields in the Primary Visual Cortex.