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New Sliced Wasserstein distance estimators leverage CDFs for data parallelism

A new class of estimators for the Sliced Wasserstein (SW) distance has been developed, leveraging cumulative distribution functions (CDFs) instead of quantile functions. This approach allows for massive dataset parallelism and avoids the need for sorting projected samples, making it more computationally efficient. The method is particularly well-suited for scenarios involving mixtures of Gaussians and is compatible with federated learning, as CDFs can be computed and aggregated locally without sharing raw data. AI

IMPACT This research could improve the efficiency of distance metric calculations in machine learning, particularly for distributed and federated learning scenarios.

RANK_REASON The cluster contains an arXiv preprint detailing a new research methodology in statistics and machine learning.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New Sliced Wasserstein distance estimators leverage CDFs for data parallelism

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Christophe Vauthier, Quentin M\'erigot, Anna Korba ·

    Highly Data Parallelizable Estimation of the Sliced-Wasserstein Distance Using Cumulative Distribution Functions

    arXiv:2606.30310v1 Announce Type: new Abstract: The Sliced Wasserstein (SW) distance has emerged as a computationally attractive alternative to the Wasserstein distance by leveraging one-dimensional optimal transport along random projections. Standard estimators of the SW distanc…

  2. arXiv stat.ML TIER_1 English(EN) · Anna Korba ·

    Highly Data Parallelizable Estimation of the Sliced-Wasserstein Distance Using Cumulative Distribution Functions

    The Sliced Wasserstein (SW) distance has emerged as a computationally attractive alternative to the Wasserstein distance by leveraging one-dimensional optimal transport along random projections. Standard estimators of the SW distance rely on Monte Carlo averages of one-dimensiona…