A Mathematical Perspective On Contrastive Learning
R. Baptista, Andrew Stuart, Son Tran
People
Ricardo Baptista
Research Scientist (part-time), Basis Research Institute
Ricardo Baptista is an assistant professor of statistics at the University of Toronto and a part-time research scientist at Basis. He works on generative modeling and computational Bayesian inference.
About
I am an assistant professor of computational statistics at the University of Toronto and a part-time research scientist at Basis, where I work on probabilistic machine learning for problems in science and engineering. My research focuses on the mathematical foundations of probabilistic models, at the intersection of inverse problems and machine learning. In particular, I am interested in developing methods that incorporate low-dimensional structure from data and physical models to broaden the range of problems we can represent with limited information.
Before joining the University of Toronto and Basis, I was an Instructor in Computing and Mathematical Sciences at Caltech and a Postdoctoral Scientist at Amazon. I hold a PhD in Computational Science and Engineering from MIT, where I was advised by Youssef Marzouk and worked on uncertainty quantification.
Recent Publications
Recent papers and preprints.
Memorization and Regularization in Generative Diffusion Models
R. Baptista, Agnimitra Dasgupta, Nikola B Kovachki, Assad Oberai, Andrew M Stuart
Conditional simulation via entropic optimal transport
R. Baptista, Aram-Alexandre Pooladian, Michael Brennan, Youssef Marzouk, Jonathan Niles-Weed
Dimension reduction via score ratio matching
R. Baptista, Michael Brennan, Youssef Marzouk