Macroscopic particle transport in dissipative long-range bosonic systems. [PDF]
Li H, Shang C, Kuwahara T, Vu TV.
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A Wasserstein-Space-Based Framework for Processing Fiber Orientation Geometry in Diffusion MRI. [PDF]
Nie X, Shi Y.
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Single-cell spatial immune landscape of ASFV-infected porcine lung microenvironment. [PDF]
Guo H +9 more
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Impact of deep learning image reconstruction on ADC quantification and histogram metrics: a phantom study. [PDF]
Marzi S +8 more
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Minimum-Excess-Work Guidance: Score-Based Sampling with Experimental Data or Sparse Restraints. [PDF]
Kolloff C +6 more
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scMix: learning temporal dynamics of gene expression under irregular time intervals. [PDF]
Han S, Kim D.
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Task-Oriented Inference Framework for Lightweight and Energy-Efficient Object Localization in Electrical Impedance Tomography. [PDF]
Ikuno T, Kaneko R.
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Wasserstein distance for OWA operators
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Wasserstein distances and curves in the Wasserstein spaces
2015In this chapter we use the minimal value of transport problems between two probabilities in order to define a distance on the space of probabilities. We mainly consider costs of the form \(c(x,y) = \vert x - y\vert ^{p}\) in \(\varOmega \subset \mathbb{R}^{d}\). We analyze the properties of the distance (called Wasserstein distance) that it defines, in
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