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This is a Quantitative Study study (also classified as: Experimental Study).

October 2, 2025Open Access

Gromov-Wasserstein Barycenters: The Analysis Problem

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Analysis problem addressed for estimating pairwise distances in networks, suggesting methods for Gromov-Wasserstein barycenters.

The proposed analysis approach solves the problem of estimating pairwise distances in a finite metric space.
Key methods include fixed-point iteration and differentiation-based approaches tailored for Gromov-Wasserstein distance.
Application of these methods is validated through numerical experiments demonstrating efficacy in real scenarios.
Insights from harmonic analysis are leveraged to frame the barycentric coding model and its applications in machine learning.

Martín et al. (2025) studied this question.

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