Jona Lelmi

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20202022

most citedLarge data limit of the MBO scheme for data clustering: convergence of the dynamics

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math.AP2021

Large data limit of the MBO scheme for data clustering: $Γ$ -convergence of the thresholding energies

Tim Laux, Jona Lelmi

In this work we begin to rigorously analyze the MBO scheme for data clustering in the large data limit. Each iteration of the MBO scheme corresponds to one step of implicit gradien…

math.AP2021

De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions

Tim Laux, Jona Lelmi

We provide a new convergence proof of the celebrated Merriman-Bence-Osher scheme for multiphase mean curvature flow. Our proof applies to the new variant incorporating a general cl…

Large data limit of the MBO scheme for data clustering: Γ-convergence of the thresholding energies

De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions

Large data limit of the MBO scheme for data clustering: $Γ$ -convergence of the thresholding energies