Sökning: "Sinkhorn distance"

Hittade 2 uppsatser innehållade orden Sinkhorn distance.

1. 1. Estimating Diffusion Tensor Distributions With Neural Networks

   Master-uppsats, Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

   Författare :Rimaz Nismi; [2024]
   Nyckelord :Diffusion; Magnetic Resonance Imaging; MRI; Neural Networks; Optimal transport; Earth mover s distance; Sinkhorn distance;

   Sammanfattning : Magnetic Resonance Imaging (MRI) is an essential healthcare technology, with diffusion MRI being a specialized technique. Diffusion MRI exploits the inherent diffusion of water molecules within the human body to produce a high-resolution tissue image. An MRI image contains information about a 3D volume in space, composed of 3D units called voxels. LÄS MER

3. 2. Generalized Talagrand Inequality for Sinkhorn Distance using Entropy Power Inequality

   Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Författare :Shuchan Wang; [2021]
   Nyckelord :Optimal Transport; Entropic Optimal Transport; Sinkhorn Distance; Talagrand Inequality; Entropy Power Inequality; Optimal Transport; Entropisk Optimal Transport; Sinkhorn Distance; Talagrand Inequality; Entropy Power Inequality;

   Sammanfattning : Measure of distance between two probability distributions plays a fundamental role in statistics and machine learning. Optimal Transport (OT) theory provides such distance. Recent advance in OT theory is a generalization of classical OT with entropy regularized, called entropic OT. LÄS MER