Visiting PhD Student

UAM, Autonomous University of Madrid

Machine learning, Applied mathematics, Control theory

I am a Ph.D. student at the Universidad Autónoma de Madrid, supervised by Profs. Enrique Zuazua and Rafael Orive. I hold an academic background in maths and physics, with a particular emphasis on analysis and PDEs. My current research focuses on the mathematical properties of neural networks for supervised learning and generative modeling.

PhD in Applied Mathematics and Machine Learning (2022-2026). Universidad Autónoma de Madrid, Spain
Master Degree in Advanced Mathematics (2021-2022). Universidad Complutense de Madrid, Spain
Internship (2022-2022). Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
Bachelor's Double Degree in Mathematics and Physics (2016-2021). Universidad de Santiago de Compostela, Spain

  • Antonio Álvarez-López, Arselane Hadj Slimane, Enrique Zuazua. Interplay between depth and width for interpolation in neural ODEs. Neural Networks. Vol. 180. No. —. (2024) pp. 106640. DOI: 10.1016/j.neunet.2024.106640. https://www.sciencedirect.com/science/article/pii/S0893608024005641
  • Antonio Álvarez-López, Rafael Orive-Illera, Enrique Zuazua. Cluster-based classification with neural ODEs via control. Journal of Machine Learning. Vol. 4. No. 2. (2025) pp. 128–156. DOI: 10.4208/jml.241114. https://global-sci.com/article/91926/cluster-based-classification-with-neural-odes-via-control
  • Antonio Álvarez-López, Borjan Geshkovski, Domènec Ruiz-Balet. Constructive approximate transport maps with normalizing flows. arXiv preprint arXiv:2412.19366
  • Antonio Álvarez-López, Marcos Matabuena. Continuous Temporal Learning of Probability Distributions via Neural ODEs with Applications in Continuous Glucose Monitoring Data. arXiv preprint arXiv:2505.08698

09.07.2025. DeustoCCM seminar: New deep learning models and perspectives for continuous-time glucose monitoring
27.08.2024. Cluster-based classification with neural ODEs via control. Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain
26.08.2024. Interplay between depth and width for interpolation in neural ODEs. Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain
21.06.2024. Controllability of neural ODEs for data classification. Universidad de Oviedo, Oviedo, Spain
01.04.2024. Controllability of neural differential equations. Seminario Fontán de Matemáticas, Universidad de Santiago de Compostela, Spain
22.02.2024. Stable Architectures for Deep Neural Networks. Mathematics for Deep Learning reading group (Bath, Cambridge & UCL), United Kingdom

Meet our team!