A powerful principle is to quantify the group behavior of the points, through problem-specific structures, that in turn instruct low-complexity approximations.

Pablo BarcelóInstitute for Mathematical and Computational Engineering, PUC Chile & IMFD Chile & CENIA ChileVerified email at uc.cl. Follow. Mircea Petrache.

Assistant Professor, Pontificia Catolica Universidad de Chile. Email: mpetrache AT mat.uc.cl. Home-page: https://sites.google.com/site/mircpetrache/home ...

I am interested in Calculus of Variations, PDEs, Geometric Measure Theory, with special emphasis on interactions involving Probability, Optimization and ...

I do mathematics research, recently interested in Data Geometry and its relation with Deep Learning. In the past years, I have been devepopping mathematical ...

Promoting openness in scientific communication and the peer-review process.

675 Followers, 1217 Following, 201 Posts - See Instagram photos and videos from Mircea Petrache (@petrachemircea)

Doing maths research (geom. analysis, metric geometry, large point configs., opt. transport, etc) since ~2010, deep learning and applied research since ~2020.

Dissertation: Weak Bundle Structures and a Variational Approach to Yang-Mills Lagrangians in Supercritical Dimensions. Advisor 1: Tristan Rivière.

We introduce and study the unconstrained polarization (or Chebyshev) problem which requires to find an N-point configuration that maximizes the minimum value of ...