Diego Marcondes

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About
I earned a BS in Statistics and a PhD in Applied Mathematics from the University of São Paulo, Brazil. Previously, I was a postdoc at the Computer Science Department, Institute of Mathematics and Statistics, University of São Paulo (2022-2024), and a visiting postdoctoral scholar at the Department of Electrical and Computer Engineering, Texas A&M University (2023-2024).
My research interests in data science are at the intersection of probability theory, statistics, applied mathematics and computer science. In particular, I am interested in developing learning methods with a strong mathematical basis which do not only have a high performance, but are controllable and interpretable, with applications to scientific problems, and signal and image processing. I am currently working on operator learning based on mathematical morphology and physics-informed neural networks for solving forward and inverse problems. I also have interests in epidemiological modelling and the metastability of Markov processes.
Affiliations
- Algebra & topology, Researcher
- Analysis & geometry, Researcher
- Mathematical physics, Researcher
- Stochastic analysis & risk modelling, Researcher
- Computational mathematics, Researcher
Research interests
My research interests are mainly:
- Representation, design, and machine learning of lattice operators by mathematical morphology
- Numerically solving forward and inverse problems associated to partial differential equations with scientific machine learning methods
- Statistical learning
- Operator learning by neural networks
- Epidemiological modelling considering human mobility and population dynamics with calibration methods based on machine learning methods
- Metastability of Markov processes, in particular interacting particle systems
Projects
- Mathematical morphology and the design of lattice operators, Supervisor
- Metastability of Markov processes, Supervisor
- Population dynamics in epidemiological modelling, Supervisor
- Scientific Machine Learning, Supervisor
- Topics in Mathematical Data Science, Supervisor
Teaching information
- 2025/1: Special Topics in Mathematics - Scientific Machine Learning
Location
Room 1.48, Hanna Neumann Building 145
Publications