246 citations · 1.2k across the 31 of their papers we have counts for
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math.AP2012★ 126 cited
Dimensionality of Local Minimizers of the Interaction Energy
D. Balagué, J. A. Carrillo, T. Laurent +1
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the imensio…
math.OC2012★ 2 cited
Convergence of a Steepest Descent Algorithm for Ratio Cut Clustering
Xavier Bresson, Thomas Laurent, David Uminsky +1
Unsupervised clustering of scattered, noisy and high-dimensional data points is an important and difficult problem. Tight continuous relaxations of balanced cut problems have recen…
math.AP2012
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations,
Andrea L. Bertozzi, John B. Garnett, Thomas Laurent
This paper studies the transport of a mass in by a flow field . We focus on kernels for for which the smooth den…