D. Slepčev

发表

Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

J. Carrillo, M. Difrancesco, A. Figalli, 2011 .

Euler sprays and Wasserstein geometry of the space of shapes

Jian‐Guo Liu, D. Slepčev, R. Pego, 2016 .

Least action principles for incompressible flows and optimal transport between shapes

Jian‐Guo Liu, D. Slepčev, R. Pego, 2016 .

Mumford–Shah functionals on graphs and their asymptotics

A. Chambolle, D. Slepčev, Marco Caroccia, 2019, Nonlinearity.

Estimating perimeter using graph cuts

D. Slepčev, Nicolás García Trillos, James von Brecht, 2017, Advances in Applied Probability.

Counterexample to regularity in average-distance problem

D. Slepčev, 2014 .

Γ-CONVERGENCE OF PERIMETER ON RANDOM GEOMETRIC GRAPHS

Nicolás García Trillos, D. Slepčev, N. G. Trillos, 2013 .

Crossover of the coarsening rates in demixing of binary viscous liquids

F. Otto, D. Slepčev, Christian Seis, 2013 .

GLOBAL-IN-TIME WEAK MEASURE SOLUTIONS, FINITE-TIME AGGREGATION AND CONFINEMENT FOR NONLOCAL INTERACTION EQUATIONS

J. Carrillo, M. Difrancesco, A. Figalli, 2009 .

Existence of Ground States of Nonlocal-Interaction Energies

D. Slepčev, I. Topaloglu, R. Simione, 2014, 1405.5146.

Continuum Limit of Total Variation on Point Clouds

D. Slepčev, Nicolás García Trillos, 2016 .

Ostwald ripening of droplets: The role of migration

F. Otto, D. Slepčev, K. Glasner, 2009, European Journal of Applied Mathematics.

Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications

D. Slepčev, J. Calder, Sangmin Park, 2021, Journal of Scientific Computing.

Refined upper bounds on the coarsening rate of discrete, ill-posed diffusion equations

D. Slepčev, S. Esedoglu, 2008 .

Accurate Quantization of Measures via Interacting Particle-based Optimization

D. Slepčev, Anna Korba, Lantian Xu, 2022, ICML.

Continuum Limit of Total Variation on Point Clouds

D. Slepčev, Nicolás García Trillos, 2015, Archive for Rational Mechanics and Analysis.

Linear stability of selfsimilar solutions of unstable thin-ﬁlm equations

D. Slepčev, 2009 .

Existence of Ground States of Nonlocal-Interaction Energies

D. Slepčev, I. Topaloglu, R. Simione, 2015, Journal of Statistical Physics.

Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries

D. Slepčev, Lijiang Wu, 2015 .

Mean-Curvature Flow of Voronoi Diagrams

D. Slepčev, Matt Elsey, 2014, Journal of Nonlinear Science.

Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami Operator

Matthias Hein, Dejan Slepcev, Nicolás García Trillos, 2018, Found. Comput. Math..

A variational approach to the consistency of spectral clustering pdf

Dejan Slepcev, Nicolás García Trillos, D. Slepčev, 2015, Applied and Computational Harmonic Analysis.

A Transportation Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document} Distance for Signal Analysis

Gustavo K. Rohde, Soheil Kolouri, Dejan Slepcev, 2016, Journal of Mathematical Imaging and Vision.

A Transportation Lp Distance for Signal Analysis pdf

Gustavo K. Rohde, Soheil Kolouri, Dejan Slepcev, 2016, ArXiv.

Optimal Mass Transport: Signal processing and machine-learning applications

Gustavo K. Rohde, Soheil Kolouri, Dejan Slepcev, 2017, IEEE Signal Processing Magazine.

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

Dejan Slepcev, Katy Craig, Nicolás García Trillos, 2021, ArXiv.

Nonlocal-Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit pdf

Antonio Esposito, Dejan Slepcev, Francesco S. Patacchini, 2019, Archive for Rational Mechanics and Analysis.

Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami Operator

D. Slepčev, Nicolás García Trillos, Nicolás García Trillos, 2019, Foundations of Computational Mathematics.

Analysis of $p$-Laplacian Regularization in Semi-Supervised Learning pdf

Dejan Slepcev, Matthew Thorpe, D. Slepčev, 2017, SIAM J. Math. Anal..

Multiple Penalized Principal Curves: Analysis and Computation

Dejan Slepcev, Slav Kirov, D. Slepčev, 2015, Journal of Mathematical Imaging and Vision.

Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms pdf

Andrew M. Stuart, Dejan Slepcev, Matthew Thorpe, 2018, Applied and Computational Harmonic Analysis.

An Optimal Transportation Approach for Nuclear Structure-Based Pathology

Gustavo K. Rohde, Ann B. Lee, Wei Wang, 2011, IEEE Transactions on Medical Imaging.

Detecting and Classifying Cancers from Image Data Using Optimal Transportation

Gustavo K. Rohde, Ann B. Lee, Wei Wang, 2010 .

A Linear Optimal Transportation Framework for Quantifying and Visualizing Variations in Sets of Images

Gustavo K. Rohde, Saurav Basu, Wei Wang, 2012, International Journal of Computer Vision.

Second-order asymptotics for the fast-diffusion equation

R. McCann, D. Slepčev, 2006 .

NOTES ON BLOWUP AND LONG WAVE UNSTABLE THIN FILM EQUATIONS

Mary C. Pugh, D. Slepčev, A. Bertozzi, 2006 .

Nonlocal front propagation problems in bounded domains with Neumann‐type boundary conditions and applications

Dejan Slepčev, Francesca Da Lio, D. Slepčev, 2004 .

Transport-based analysis, modeling, and learning from signal and data distributions pdf

Gustavo K. Rohde, Soheil Kolouri, Dejan Slepcev, 2016, ArXiv.

Optimal cone singularities for conformal flattening

Keenan Crane, Dejan Slepcev, Yousuf Soliman, 2018, ACM Trans. Graph..

On the Rate of Convergence of Empirical Measures in ∞-transportation Distance

D. Slepčev, Nicolás García Trillos, 2015, Canadian Journal of Mathematics.

Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions

Dejan Slepčev, D. Slepčev, 2003 .

Coarsening Rates for a Droplet Model: Rigorous Upper Bounds

Felix Otto, Dejan Slepcev, Tobias Rump, 2006, SIAM J. Math. Anal..

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

Jeff Calder, Matthew Thorpe, Dejan Slepcev, 2020, Research in the Mathematical Sciences.

Consistency of Cheeger and Ratio Graph Cuts pdf

Xavier Bresson, Dejan Slepcev, Thomas Laurent, 2014, J. Mach. Learn. Res..

Poisson Learning: Graph Based Semi-Supervised Learning At Very Low Label Rates

D. Slepčev, J. Calder, M. Thorpe, 2020, ICML.

Properly-Weighted Graph Laplacian for Semi-supervised Learning pdf

Jeff Calder, Dejan Slepcev, D. Slepčev, 2018, Applied Mathematics & Optimization.

Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

Andrea L. Bertozzi, Dejan Slepčev, D. Slepčev, 2010 .

Confinement in nonlocal interaction equations

José A. Carrillo, Thomas Laurent, Alessio Figalli, 2012 .

Mean-Curvature Flow of Voronoi Diagrams

Dejan Slepcev, Matt Elsey, D. Slepčev, 2015, J. Nonlinear Sci..

Coarsening in Nonlocal Interfacial Systems

Dejan Slepcev, D. Slepčev, 2008, SIAM J. Math. Anal..

Least action principles for incompressible flows and geodesics between shapes

Jian‐Guo Liu, D. Slepčev, R. Pego, 2016, Calculus of Variations and Partial Differential Equations.

Mary C. Pugh, D. Slepčev, 2005 .

An Optimal Transportation Approach for Nuclear Structure-based Pathology

D. Slepčev, Wei Wang, J. Ozolek, 2022 .

Nonlocal Wasserstein distance: metric and asymptotic properties

D. Slepčev, Dejan Slepvcev, A. Warren, 2022, Calculus of Variations and Partial Differential Equations.

Existence of Minimizers of Nonlocal Interaction Energies

D. Slepčev, I. Topaloglu, R. Simione, 2014 .

Continuum Limit of Total Variation on Point Clouds

Nicolás García Trillos, D. Slepčev, Dejan Slepvcev, 2014, Archive for Rational Mechanics and Analysis.

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

D. Slepčev, Lihan Wang, Dejan Slepvcev, 2022, Nonlinearity.

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

Dejan Slepcev, Xinyang Lu, D. Slepčev, 2020, ESAIM: Control, Optimisation and Calculus of Variations.

Properties of Minimizers of Average-Distance Problem via Discrete Approximation of Measures

Dejan Slepcev, Xin Yang Lu, D. Slepčev, 2013, SIAM J. Math. Anal..

Example of a displacement convex functional of first order

Dejan Slepčev, J. Carrillo, D. Slepčev, 2009 .

A symmetric deformation-based similarity measure for shape analysis

Gustavo K. Rohde, Soheil Kolouri, Dejan Slepcev, 2015, 2015 IEEE 12th International Symposium on Biomedical Imaging (ISBI).

A linear transport-based embedding method for analyzing biomedical images

Gustavo K. Rohde, Saurav Basu, Wei Wang, 2012, 2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).