Hi! I’m an Assistant Professor of Applied Mathematics at Loyola University Andalusia. When I’m not immersed in numerically solving mathematical models, I enjoy capturing the world through photography, discovering new places and making friends while traveling.
Interests
- Bilevel Optimization
- Data Science & Machine Learning
- Mathematical Image Processing
Experience
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Assistant Professor of Applied MathematicsLoyola University Andalusia - Spain
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Postdoctoral ResearcherUniversidad O'Higgins / CMM - Chile
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PhD ResearcherEscuela Politécnica Nacional - Ecuador
Education
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PhD in Applied Mathematics, 2022Escuela Politécnica Nacional - Ecuador
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MSc in Computer Science, 2014University of Birmingham - UK
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Electronics Engineering, 2012Escuela Politécnica Nacional - Ecuador
Recent Publications
Publications by David Villacís on bilevel optimization, mathematical image processing, and machine learning.-
Wim van Ackooij, Diego Morales-Poblete, Pedro Pérez-Aros, David Villacís
Approximating Inequality Systems Within Probability Functions: Studying Implications for Problems and Consistency of First-Order Information
Applied Mathematics & Optimization, volume 93, number 2, pages 62, March 2026
In this work, we are concerned with the study of optimization problems featuring so-called probability or chance constraints. Probability constraints measure the level of satisfaction of an underlying random inequality system and ensure that this lev…
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David Villacís, Pedro Pérez-Aros, Emilio Vilches
A Variational Analysis Approach for Bilevel Hyperparameter Optimization with Sparse Regularization
June 2025
We study a bilevel optimization framework for hyperparameter learning in variational models, with a focus on sparse regression and classification tasks. In particular, we consider a weighted elastic-net regularizer, where feature-wise regularization …
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