Riemannian medians and means with applications to radar signal processing M Arnaudon, F Barbaresco, L Yang IEEE Journal of Selected Topics in Signal Processing 7 (4), 595-604, 2013 | 212 | 2013 |
Continuous-discrete extended Kalman filter on matrix Lie groups using concentrated Gaussian distributions G Bourmaud, R Mégret, M Arnaudon, A Giremus Journal of Mathematical Imaging and Vision 51, 209-228, 2015 | 144 | 2015 |
Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below M Arnaudon, A Thalmaier, FY Wang Bulletin des sciences mathematiques 130 (3), 223-233, 2006 | 119 | 2006 |
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds M Arnaudon, A Thalmaier, FY Wang Stochastic processes and their applications 119 (10), 3653-3670, 2009 | 95 | 2009 |
Medians and means in Riemannian geometry: existence, uniqueness and computation M Arnaudon, F Barbaresco, L Yang Matrix Information Geometry, 169-197, 2012 | 78 | 2012 |
Lagrangian Navier–Stokes diffusions on manifolds: variational principle and stability M Arnaudon, AB Cruzeiro Bulletin des Sciences Mathématiques 136 (8), 857-881, 2012 | 67 | 2012 |
Stochastic algorithms for computing means of probability measures M Arnaudon, C Dombry, A Phan, L Yang Stochastic Processes and their Applications 122 (4), 1437-1455, 2012 | 67 | 2012 |
Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow M Arnaudon, KA Coulibaly, A Thalmaier Comptes Rendus Mathematique 346 (13-14), 773-778, 2008 | 57 | 2008 |
Stochastic Euler-Poincaré reduction M Arnaudon, X Chen, AB Cruzeiro Journal of Mathematical Physics 55 (8), 2014 | 53 | 2014 |
On approximating the Riemannian 1-center M Arnaudon, F Nielsen Computational Geometry 46 (1), 93-104, 2013 | 53 | 2013 |
Riemannian median, geometry of covariance matrices and radar target detection L Yang, M Arnaudon, F Barbaresco The 7th European Radar Conference, 415-418, 2010 | 43 | 2010 |
Means in complete manifolds: uniqueness and approximation M Arnaudon, L Miclo ESAIM: Probability and Statistics 18, 185-206, 2014 | 42 | 2014 |
Horizontal Diffusion in C 1 Path Space M Arnaudon, KA Coulibaly, A Thalmaier Séminaire de Probabilités XLIII, 73-94, 2011 | 41 | 2011 |
Barycenters of measures transported by stochastic flows M Arnaudon, XM Li | 38 | 2005 |
Complete lifts of connections and stochastic Jacobi fields M Arnaudon, A Thalmaier Journal de mathématiques pures et appliquées 77 (3), 283-315, 1998 | 30 | 1998 |
Stability of stochastic differential equations in manifolds M Arnaudon, A Thalmaier Séminaire de Probabilités XXXII, 188-214, 2006 | 27* | 2006 |
Barycentres convexes et approximations des martingales continues dans les variétés M Arnaudon Séminaire de probabilités de Strasbourg 29, 70-85, 1995 | 27 | 1995 |
An entropic interpolation problem for incompressible viscous fluids M Arnaudon, AB Cruzeiro, C Léonard, JC Zambrini | 26 | 2020 |
Intertwinings and generalized Brascamp–Lieb inequalities M Arnaudon, M Bonnefont, A Joulin Revista Matemática Iberoamericana 34 (3), 1021-1054, 2018 | 25 | 2018 |
Stochastic algorithms for computing p-means of probability measures, geometry of radar Toeplitz covariance matrices and applications to HR Doppler processing M Arnaudon, L Yang, F Barbaresco 2011 12th International Radar Symposium (IRS), 651-656, 2011 | 23 | 2011 |