Dejan Slepčev
Dejan Slepčev
Professor of Mathematical Sciences, Carnegie Mellon University
Verified email at - Homepage
Cited by
Cited by
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev
Duke Mathematical Journal 156 (2), 229-271, 2011
Optimal mass transport: Signal processing and machine-learning applications
S Kolouri, SR Park, M Thorpe, D Slepcev, GK Rohde
IEEE signal processing magazine 34 (4), 43-59, 2017
A linear optimal transportation framework for quantifying and visualizing variations in sets of images
W Wang, D Slepčev, S Basu, JA Ozolek, GK Rohde
International journal of computer vision 101 (2), 254-269, 2013
Continuum limit of total variation on point clouds
NG Trillos, D Slepčev
Archive for rational mechanics and analysis 220 (1), 193-241, 2016
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator
NG Trillos, M Gerlach, M Hein, D Slepčev
Foundations of Computational Mathematics 20 (4), 827-887, 2020
A variational approach to the consistency of spectral clustering
NG Trillos, D Slepčev
Applied and Computational Harmonic Analysis 45 (2), 239-281, 2018
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
AL Bertozzi, D Slepcev
Communications on Pure & Applied Analysis 9 (6), 1617, 2010
On the rate of convergence of empirical measures in -transportation distance
N García Trillos, D Slepčev
Canadian Journal of Mathematics 67, 1358-1383, 2015
Consistency of cheeger and ratio graph cuts
NG Trillos, D Slepčev, J Von Brecht, T Laurent, X Bresson
The Journal of Machine Learning Research 17 (1), 6268-6313, 2016
An optimal transportation approach for nuclear structure-based pathology
W Wang, JA Ozolek, D Slepčev, AB Lee, C Chen, GK Rohde
IEEE transactions on medical imaging 30 (3), 621-631, 2010
Nonlinear mobility continuity equations and generalized displacement convexity
JA Carrillo, S Lisini, G Savaré, D Slepčev
Journal of Functional Analysis 258 (4), 1273-1309, 2010
Coarsening rates for a droplet model: rigorous upper bounds
F Otto, T Rump, D Slepcev
SIAM journal on mathematical analysis 38 (2), 503-529, 2006
Analysis of -Laplacian Regularization in Semisupervised Learning
D Slepcev, M Thorpe
SIAM Journal on Mathematical Analysis 51 (3), 2085-2120, 2019
Existence of ground states of nonlocal-interaction energies
R Simione, D Slepčev, I Topaloglu
Journal of Statistical Physics 159 (4), 972-986, 2015
Ostwald ripening of droplets: the role of migration
K Glasner, F Otto, T Rump, D Slepčev
European journal of applied mathematics 20 (1), 1-67, 2009
A Transportation L p Distance for Signal Analysis
M Thorpe, S Park, S Kolouri, GK Rohde, D Slepčev
Journal of mathematical imaging and vision 59 (2), 187-210, 2017
Confinement in nonlocal interaction equations
JA Carrillo, M Di Francesco, A Figalli, T Laurent, D Slepčev
Nonlinear Analysis: Theory, Methods & Applications 75 (2), 550-558, 2012
Selfsimilar blowup of unstable thin-film equations
D Slepčev, MC Pugh
Indiana University mathematics journal, 1697-1738, 2005
Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions
D Slepčev
Nonlinear Analysis: Theory, Methods & Applications 52 (1), 79-115, 2003
Large data and zero noise limits of graph-based semi-supervised learning algorithms
MM Dunlop, D Slepčev, AM Stuart, M Thorpe
Applied and Computational Harmonic Analysis 49 (2), 655-697, 2020
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