Mircea Petrache

About Mircea Petrache

Mircea Petrache, With an exceptional h-index of 13 and a recent h-index of 10 (since 2020), a distinguished researcher at Pontificia Universidad Católica de Chile, specializes in the field of Deep Learning, Point Configurations, Calculus of Variations, Geometric Analysis, Mathematical Physics.

His recent articles reflect a diverse array of research interests and contributions to the field:

A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams

Three iterations of (d− 1)-WL test distinguish non isometric clouds of d-dimensional points

Approximation-generalization trade-offs under (approximate) group equivariance

Position Paper: Generalized grammar rules and structure-based generalization beyond classical equivariance for lexical tasks and transduction

Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost

Steady State Kinetics for Enzymes with Multiple Binding Sites Upstream of the Catalytic Site

The search for the lost attractor

Curvature-Dimension Tradeoff for Generalization in Hyperbolic Space

Mircea Petrache Information

University

Position

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Citations(all)

387

Citations(since 2020)

278

Cited By

239

hIndex(all)

13

hIndex(since 2020)

10

i10Index(all)

13

i10Index(since 2020)

11

Email

University Profile Page

Google Scholar

Mircea Petrache Skills & Research Interests

Deep Learning

Point Configurations

Calculus of Variations

Geometric Analysis

Mathematical Physics

Top articles of Mircea Petrache

A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams

arXiv preprint arXiv:2402.14489

2024/2/22

Three iterations of (d− 1)-WL test distinguish non isometric clouds of d-dimensional points

Advances in Neural Information Processing Systems

2024/2/13

Alexander Kozachinskiy
Alexander Kozachinskiy

H-Index: 3

Mircea Petrache
Mircea Petrache

H-Index: 8

Approximation-generalization trade-offs under (approximate) group equivariance

Advances in Neural Information Processing Systems

2023/5/27

Mircea Petrache
Mircea Petrache

H-Index: 8

Shubhendu Trivedi
Shubhendu Trivedi

H-Index: 10

Position Paper: Generalized grammar rules and structure-based generalization beyond classical equivariance for lexical tasks and transduction

arXiv preprint arXiv:2402.01629

2024/2/2

Mircea Petrache
Mircea Petrache

H-Index: 8

Shubhendu Trivedi
Shubhendu Trivedi

H-Index: 10

Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost

arXiv preprint arXiv:2401.07880

2024/1/15

Augusto Gerolin
Augusto Gerolin

H-Index: 6

Mircea Petrache
Mircea Petrache

H-Index: 8

Steady State Kinetics for Enzymes with Multiple Binding Sites Upstream of the Catalytic Site

Symmetry

2023/12/8

Mircea Petrache
Mircea Petrache

H-Index: 8

The search for the lost attractor

arXiv preprint arXiv:2311.16306

2023/11/27

Curvature-Dimension Tradeoff for Generalization in Hyperbolic Space

2023/11/7

Hans Lobel
Hans Lobel

H-Index: 7

Mircea Petrache
Mircea Petrache

H-Index: 8

Optimal quantization with branched optimal transport distances

arXiv preprint arXiv:2309.08677

2023/9/15

Mircea Petrache
Mircea Petrache

H-Index: 8

Effective recovery of Fourier spectra and spectral approximation by finite groups

arXiv preprint arXiv:2308.07446

2023/8/14

Mircea Petrache
Mircea Petrache

H-Index: 8

Rodolfo Viera
Rodolfo Viera

H-Index: 1

Almost sure recovery in quasi-periodic structures

Journal of Statistical Physics

2023/2

Mircea Petrache
Mircea Petrache

H-Index: 8

Rodolfo Viera
Rodolfo Viera

H-Index: 1

Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings

Calculus of Variations and Partial Differential Equations

2022/12

Mircea Petrache
Mircea Petrache

H-Index: 8

Crystallization to the square lattice for a two-body potential

Archive for Rational Mechanics and Analysis

2021/5

Laurent Bétermin
Laurent Bétermin

H-Index: 11

Mircea Petrache
Mircea Petrache

H-Index: 8

Sharp discrete isoperimetric inequalities in periodic graphs via discrete PDE and Semidiscrete Optimal Transport

arXiv preprint arXiv:2012.11039

2020/12/20

Mircea Petrache
Mircea Petrache

H-Index: 8

Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture

Proceedings of the American Mathematical Society

2020/7

Mircea Petrache
Mircea Petrache

H-Index: 8

Sylvia Serfaty
Sylvia Serfaty

H-Index: 25

Cyclically monotone non-optimal N-marginal transport plans and Smirnov-type decompositions for N-flows

ESAIM: Control, Optimisation and Calculus of Variations

2020

Mircea Petrache
Mircea Petrache

H-Index: 8

Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics

Potential Analysis

2020

Mircea Petrache
Mircea Petrache

H-Index: 8

See List of Professors in Mircea Petrache University(Pontificia Universidad Católica de Chile)

Co-Authors

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