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Exponential Absolute Minimizing extension and biased infinity Laplacian

open access: yes
We study the variational structure of the biased infinity Laplacian by introducing a notion of the $β$\textit{-Exponential Absolute Minimizing Extension} ($β$--AM) on arbitrary length space, which absolutely minimizing the exponential slope $$ L^β_u (E) := β\sup_{x,y \in E} \frac{u(y) - e^{-β|x-y|} u(x)}{1- e^{-β|x-y|}}.
openaire   +2 more sources

PHLOWER leverages single-cell multimodal data to infer complex, multi-branching cell differentiation trajectories. [PDF]

open access: yesNat Methods
Cheng M   +11 more
europepmc   +1 more source

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