Ricardo Baptista

Statistical Sciences, University of Toronto

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Since Fall 2025, I am an Assistant Professor of Statistical Sciences at the University of Toronto and a Faculty Affiliate at the Vector Institute. My research is on probabilistic modeling and inference for problems in science and engineering. Most recently, I have been developing and analyzing generative models based on computational measure transport.

Bio: I was a von Kármán instructor at Caltech in Computing + Mathematical Sciences and a Postdoctoral Scientist at Amazon Search where I was hosted by Andrew Stuart. I completed my PhD at MIT in Computational Science and Engineering where I was fortunate to be advised by Youssef Marzouk. I also received my BASc in Engineering Science from the University of Toronto.

Contact: r.baptista (at) utoronto (dot) ca
Follow: Google Scholar arXiv GitHub LinkedIn

Announcements

Sep 2024 Our paper on approximation theory for measure transport algorithms was accepted in AMS: Mathematics of Computations!
Jul 2024 Gave a joint keynote talk at the CIRM-Marseille Digital Twins for Inverse Problems Workshop on Bayesian inference via dimension reduction. Thank you to all of the organizers!
Nov 2023 Gave the USNCCM Large-Scale TTA early-career colloquium on dimension reduction methods for probabilistic modeling. Thank you Shelly and Patrick for the invitation!

Selected publications

  1. arXiv
    A Mathematical Perspective On Contrastive Learning
    Ricardo Baptista, Andrew M Stuart, and Son Tran
    arXiv:2505.24134, 2025
  2. AISTATS
    Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional Brenier maps
    Ricardo Baptista, Aram-Alexandre Pooladian, Michael Brennan, Youssef Marzouk, and Jonathan Niles-Weed
    In The 28th International Conference on Artificial Intelligence and Statistics, 2025
  3. FoCM
    On the representation and learning of monotone triangular transport maps
    Ricardo Baptista, Youssef Marzouk, and Olivier Zahm
    Foundations of Computational Mathematics, 2023
  4. JUQ
    Conditional Sampling with Monotone GANs: from Generative Models to Likelihood-Free Inference
    Ricardo Baptista, Bamdad Hosseini, Nikola B Kovachki, and Youssef Marzouk
    SIAM/ASA Journal on Uncertainty Quantification, 2024
  5. SIAM Review
    Coupling techniques for nonlinear ensemble filtering
    Alessio Spantini, Ricardo Baptista, and Youssef Marzouk
    SIAM Review, 2022