Dejan Slepčev

Dejan Slepčev

Carnegie Mellon University

H-index: 28

North America-United States

About Dejan Slepčev

Dejan Slepčev, With an exceptional h-index of 28 and a recent h-index of 21 (since 2020), a distinguished researcher at Carnegie Mellon University, specializes in the field of applied analysis, machine learning, partial differential equations.

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

Geometry and analytic properties of the sliced Wasserstein space

Birth–death dynamics for sampling: global convergence, approximations and their asymptotics

HV geometry for signal comparison

Rates of convergence for Laplacian semi-supervised learning with low labeling rates

Nonlocal wasserstein distance: Metric and asymptotic properties

Nonlocal dynamics on graphs

The nonlocal-interaction equation near attracting manifolds

Boundary estimation from point clouds: Algorithms, guarantees and applications

Dejan Slepčev Information

University

Position

Professor of Mathematical Sciences

Citations(all)

3171

Citations(since 2020)

2103

Cited By

1930

hIndex(all)

28

hIndex(since 2020)

21

i10Index(all)

40

i10Index(since 2020)

29

Email

University Profile Page

Carnegie Mellon University

Google Scholar

View Google Scholar Profile

Dejan Slepčev Skills & Research Interests

applied analysis

machine learning

partial differential equations

Top articles of Dejan Slepčev

Title

Journal

Author(s)

Publication Date

Geometry and analytic properties of the sliced Wasserstein space

arXiv preprint arXiv:2311.05134

Sangmin Park

Dejan Slepčev

2023/11/9

Birth–death dynamics for sampling: global convergence, approximations and their asymptotics

Nonlinearity

Yulong Lu

Dejan Slepčev

Lihan Wang

2023/9/26

HV geometry for signal comparison

arXiv preprint arXiv:2304.11538

Ruiyu Han

Dejan Slepčev

Yunan Yang

2023/4/23

Rates of convergence for Laplacian semi-supervised learning with low labeling rates

Research in the Mathematical Sciences

Jeff Calder

Dejan Slepčev

Matthew Thorpe

2023/3

Nonlocal wasserstein distance: Metric and asymptotic properties

Calculus of Variations and Partial Differential Equations

Dejan Slepčev

Andrew Warren

2023/12

Nonlocal dynamics on graphs

Málaga

Antonio Esposito

Francesco S Patacchini

André Schlichting

Dejan Slepcev

2022/6/20

The nonlocal-interaction equation near attracting manifolds

Discrete & Continuous Dynamical Systems 42, no. 2 (2022): 903.

Francesco S Patacchini

Dejan Slepčev

2022

Boundary estimation from point clouds: Algorithms, guarantees and applications

Journal of Scientific Computing

Jeff Calder

Sangmin Park

Dejan Slepčev

2022/8

Accurate quantization of measures via interacting particle-based optimization

Lantian Xu

Anna Korba

Dejan Slepcev

2022/6/28

Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker–Planck interpolation

Katy Craig

Nicolas GarciaTrillos

Dejan Slepčev

2021/12/7

Variational Methods for Evolution

Oberwolfach Reports

Luigi Ambrosio

Alexander Mielke

Mark A Peletier

Giuseppe Savaré

2015/10/29

Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit

Archive for Rational Mechanics and Analysis

Antonio Esposito

Francesco S Patacchini

André Schlichting

Dejan Slepčev

2021/5

Mumford–Shah functionals on graphs and their asymptotics

Nonlinearity

Marco Caroccia

Antonin Chambolle

Dejan Slepčev

2020/6/5

Average-distance problem with curvature penalization for data parameterization: regularity of minimizers

ESAIM: Control, Optimisation and Calculus of Variations

Xinyang Lu

Dejan Slepcev

2020/12/28

Properly-weighted graph Laplacian for semi-supervised learning

Applied mathematics & optimization

Jeff Calder

Dejan Slepčev

2020/12

Poisson learning: Graph based semi-supervised learning at very low label rates

Jeff Calder

Brendan Cook

Matthew Thorpe

Dejan Slepcev

2020/11/21

Large data and zero noise limits of graph-based semi-supervised learning algorithms

Applied and Computational Harmonic Analysis

Matthew M Dunlop

Dejan Slepčev

Andrew M Stuart

Matthew Thorpe

2020/9/1

Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator

Foundations of Computational Mathematics

Nicolás García Trillos

Moritz Gerlach

Matthias Hein

Dejan Slepčev

2020/8

See List of Professors in Dejan Slepčev University(Carnegie Mellon University)

Co-Authors

H-index: 79
Andrea Bertozzi

Andrea Bertozzi

University of California, Los Angeles

H-index: 78
Andrew M Stuart

Andrew M Stuart

California Institute of Technology

H-index: 73
José Antonio Carrillo

José Antonio Carrillo

University of Oxford

H-index: 58
Matthias Hein

Matthias Hein

Eberhard Karls Universität Tübingen

H-index: 46
Xavier Bresson

Xavier Bresson

National University of Singapore

H-index: 44
Giuseppe Savaré

Giuseppe Savaré

Università Commerciale Luigi Bocconi

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