Thomas Laurent
Thomas Laurent
Professor of Mathematics, Loyola Marymount University
Adresse e-mail validée de lmu.edu - Page d'accueil
Titre
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Année
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
2582011
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
AL Bertozzi, JA Carrillo, T Laurent
Nonlinearity 22 (3), 683, 2009
2162009
Lp theory for the multidimensional aggregation equation
AL Bertozzi, T Laurent, J Rosado
Communications on Pure and Applied Mathematics 64 (1), 45-83, 2011
1352011
Finite-Time Blow-up of Solutions of an Aggregation Equation in Rn
AL Bertozzi, T Laurent
Communications in mathematical physics 274 (3), 717-735, 2007
1272007
Dimensionality of local minimizers of the interaction energy
D Balagué, JA Carrillo, T Laurent, G Raoul
Archive for Rational Mechanics and Analysis 209 (3), 1055-1088, 2013
1202013
Local and global existence for an aggregation equation
T Laurent
Communications in Partial Differential Equations 32 (12), 1941-1964, 2007
1092007
Nonlocal interactions by repulsive–attractive potentials: radial ins/stability
D Balagué, JA Carrillo, T Laurent, G Raoul
Physica D: Nonlinear Phenomena 260, 5-25, 2013
942013
Aggregation and spreading via the Newtonian potential: The dynamics of patch solutions
A Bertozzi, T Laurent, F Leger
Mathematical Models and Methods in Applied Sciences 22, 2012
83*2012
Multiclass total variation clustering
X Bresson, T Laurent, D Uminsky, J Von Brecht
Advances in Neural Information Processing Systems, 1421-1429, 2013
792013
Consistency of cheeger and ratio graph cuts
NG Trillos, D Slepcev, J von Brecht, T Laurent, X Bresson
arXiv preprint arXiv:1411.6590, 2014
642014
Convergence and energy landscape for Cheeger cut clustering
X Bresson, T Laurent, D Uminsky, JV Brecht
Advances in Neural Information Processing Systems, 1385-1393, 2012
622012
Deep linear networks with arbitrary loss: All local minima are global
T Laurent, J Brecht
International conference on machine learning, 2902-2907, 2018
55*2018
A method based on total variation for network modularity optimization using the MBO scheme
H Hu, T Laurent, MA Porter, AL Bertozzi
SIAM Journal on Applied Mathematics 73 (6), 2224-2246, 2013
472013
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
432012
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations
AL Bertozzi, JB Garnett, T Laurent
SIAM Journal on Mathematical Analysis 44 (2), 651-681, 2012
402012
A recurrent neural network without chaos
T Laurent, J von Brecht
arXiv preprint arXiv:1612.06212, 2016
352016
Residual gated graph convnets
X Bresson, T Laurent
arXiv preprint arXiv:1711.07553, 2017
312017
Benchmarking graph neural networks
VP Dwivedi, CK Joshi, T Laurent, Y Bengio, X Bresson
arXiv preprint arXiv:2003.00982, 2020
292020
An efficient graph convolutional network technique for the travelling salesman problem
CK Joshi, T Laurent, X Bresson
arXiv preprint arXiv:1906.01227, 2019
242019
The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels
AL Bertozzi, T Laurent
Chinese Annals of Mathematics, Series B 30 (5), 463-482, 2009
222009
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