Mircea Petrache

Pontificia Universidad Catolica de Chile

  • Joined May 2023

Names

Mircea Petrache (Preferred)

Emails

****@mat.uc.cl (Confirmed)
,
****@gmail.com (Confirmed)
,
****@uc.cl (Confirmed)

Personal Links

Education & Career 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

Postdoc Advisor
2013 – 2015
 
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