About me

  • I am Adrián, currently a second-year PhD student at ONERA and University of Toulouse (INSA) in France, under the supervision of Pascal Noble and Éric Savin.


  • I am interested in physics-informed machine learning, particularly methods based on Gaussian process regression for estimating solutions of differential equations, from both a mathematical and numerical perspective.


  • Recent News

    • Adrian
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    Curriculum

    Formal Education

    1. Université de Toulouse - INSA IMT

          

      INSA Toulouse

          

      Universite de Toulouse

      Doctoral Thesis in Applied Mathematics

      November 2023 — Present

      Title: Resolution of PDEs by physics-informed Gaussian process regression
      Supervised by Pascal Noble and Éric Savin and attached to the Institute of Mathematics of Toulouse (IMT) and ONERA - The French Aerospace Lab

    2. Université Paris-Saclay Universite Paris Saclay

      Master in Mathematics and Applications

      August 2021 — September 2023

      •    M2 Analysis, Modelling, Simulation (mention Bien)

      •    M1 Mathematics and Interactions (mention Très Bien)

    3. Universidad Yachay Tech Yachay Tech

      Bachelor of Science in Mathematics

      January 2017 — August 2021

      Mention Magna Cum Laude

    Experience

    1. ONERA - The French Aerospace Lab ONERA

      Doctoral Researcher

      November 2023 - Present

      Research position for doctoral studies, attached to the unit of Applied Mathematics and High-performance Computing

    2. Inria Saclay - Team MΞDISIM Inria

      Research Intern

      April — August 2023

      Title : Data-based modeling of pharmacological effects in a biomechanical model of the cardiovascular system: application in critical care monitoring.
      Supervised by Dominique Chapelle and François Kimmig as part of the project AnaestAssist, in collaboration with Hospital Lariboisière of Paris and Politecnico di Milano

    3. Laboratoire de Mathématiques et Modélisation d'Évry LaMME

      Research Intern

      April — July 2022

      Title : Quelques caractérisations équivalentes des espaces de Hardy
      Supervised by Diego Chamorro, in the domain of harmonic analysis

    4. School of Mathematical and Computational Sciences - Yachay Tech ECMC

      Research Assistant

      August - October 2020

      Title : Existence of Solutions, Approximate and Exact Controllability of Non-Autonomous Semilinear Differential Equations with Non-Instantaneous Impulses, Delay and Non-local Conditions
      Supervised by Hugo Leiva, in the domain of control theory


      Teaching Assistant

      November 2020 — January 2021

      In the course Numerical Methods (S4), supervised by Franklin Camacho

    Academics

    • Physics-informed, boundary-constrained Gaussian process regression for the reconstruction of fluid flow fields

      Padilla-Segarra, A., Noble, P., Roustant, O. et Savin, E. 2025

    • Model of Technological Competencies as Determinants of Innovation: A Comparative Intersectoral Study in Ecuador

      Arcos, C., Padilla, A. 2022

    • Brief Review of Functional Data Analysis: A Case Study on Regional Demographic and Economic Data

      Padilla-Segarra, A., González-Villacorte, M., Amaro, I.R. et Infante, S. 2020

    • On the Existence and Uniqueness of Solutions for Semi-linear Non-autonomous Systems with Non-instantaneous Impulses, Delay and Non-local Conditions

      Lalvay, S., Padilla-Segarra, A., et Zouhair, W. 2020

    • ONERA PhD Days SNA 2024 : poster and organisation January 2024

    • AMARUN 8th Conference of Ecuadorian Mathematicians in Paris : organisation September 2022

    • AMARUN 7th Conference of Ecuadorian Mathematicians in Paris : organisation October 2021

    • SEDEM 2th Ecuadorian Conference in Mathematics : presentation December 2020

    • CEDIA TICEC–2020 Conference on Information and Communication Technologies : proceedings and presentation Novembre 2020

    • ISAE—SUPAERO

      Exercises (PC) and Lab Sessions (BE) in Numerical Analysis (1st year, 8h) Toulouse, France 2024—2025

    • AMARUN Association

      Summer course on Gaussian process regression for numerical modeling of PDEs (equivalent to L3 & M1, 10 hours online) Quito, Ecuador 2024

    • INSA Toulouse

      Exercises (TD) and Lab Sessions (TP) in Signal Processing II (3rd year INSA, 22.5 hours) Toulouse, France 2023—2024

    • Universidad Yachay Tech

      Tutoring in Numerical Methods I (S4, equivalent to L2, 13 hours) Urcuquí, Ecuador 2020—2021

    Contact

  • Bureau 120
    INSA Toulouse - Département de Génie Mathématique et Modélisation
    135 avenue de Rangueil
    31077 Toulouse CEDEX 4
    France

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