Mircea Petrache (Preferred)
Mircea Petrache
Assistant Professor, Pontificia Universidad Catolica de Chile
- Joined May 2023
Names
Emails
****@mat.uc.cl (Confirmed)
, ****@gmail.com (Confirmed)
, ****@uc.cl (Confirmed)
Personal Links
Career & Education History
Assistant Professor
Pontificia Universidad Catolica de Chile (puc.cl)
2018 – Present
Postdoc
Institute for Mathematics Research - ETH Zurich (math.ethz.ch)
2017 – 2018
Postdoc
Vanderbilt University (vanderbilt.edu)
2017 – 2018
Postdoc
Max Planck Institute for Mathematics, Bonn (mpim-bonn.mpg.de)
2016 – 2017
Postdoc
Max Planck Institute for Mathematics in the Sciences, Max-Planck Institute (mis.mpg.de)
2015 – 2016
Postdoc
Fondation des Sciences Mathematiques de Paris (sciencesmaths-paris.fr)
2013 – 2015
PhD student
ETHZ - ETH Zurich (ethz.ch)
2008 – 2013
Advisors, Relations & Conflicts
PhD Advisor
Tristan Riviere
2008 – 2013
Expertise
Frequency bias, neural tangent kernel, spectral analysis
2023 – Present
Topological data analysis, word sense disambiguation, persistence histograms metrics
2023 – Present
Equivariant Neural Networks, approximate symmetries
2022 – Present
HNNs, Hyperbolic geometry, delta-hyperbolicity
2021 – Present
Geometric Deep Learning, curvature effects
2021 – Present
Generalization bounds, metric geometry, curvature
2021 – Present
Manifold hypothesis testing, multiscale resolution, multiscale SVD
2021 – Present
Optimal Transport, deep learning
2019 – Present
Geometric Analysis, deep learning, gradient descent
2019 – Present