Dejan Slepčev
Dejan Slepčev
Professor of Mathematical Sciences, Carnegie Mellon University
Verified email at - Homepage
Cited by
Cited by
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
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev
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, 254-269, 2013
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator
N García Trillos, M Gerlach, M Hein, D Slepčev
Foundations of Computational Mathematics 20 (4), 827-887, 2020
Continuum limit of total variation on point clouds
N García Trillos, D Slepčev
Archive for rational mechanics and analysis 220, 193-241, 2016
A variational approach to the consistency of spectral clustering
NG Trillos, D Slepčev
Applied and Computational Harmonic Analysis 45 (2), 239-281, 2018
Analysis of -Laplacian Regularization in Semisupervised Learning
D Slepcev, M Thorpe
SIAM Journal on Mathematical Analysis 51 (3), 2085-2120, 2019
On the rate of convergence of empirical measures in -transportation distance
N García Trillos, D Slepčev
Canadian Journal of Mathematics 67, 1358-1383, 2015
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
AL Bertozzi, D Slepcev
Communications on Pure and Applied Analysis 9 (6), 1617-1637, 2010
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
Poisson learning: Graph based semi-supervised learning at very low label rates
J Calder, B Cook, M Thorpe, D Slepcev
International Conference on Machine Learning, 1306-1316, 2020
A Transportation Distance for Signal Analysis
M Thorpe, S Park, S Kolouri, GK Rohde, D Slepčev
Journal of mathematical imaging and vision 59, 187-210, 2017
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
Existence of ground states of nonlocal-interaction energies
R Simione, D Slepčev, I Topaloglu
Journal of Statistical Physics 159 (4), 972-986, 2015
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
Properly-weighted graph Laplacian for semi-supervised learning
J Calder, D Slepčev
Applied mathematics & optimization 82, 1111-1159, 2020
Optimal cone singularities for conformal flattening
Y Soliman, D Slepčev, K Crane
ACM Transactions on Graphics (TOG) 37 (4), 1-17, 2018
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
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