Corpus ID: 165163570

Sliced Gromov-Wasserstein

@article{Vayer2019SlicedG,
  title={Sliced Gromov-Wasserstein},
  author={Titouan Vayer and R{\'e}mi Flamary and R. Tavenard and L. Chapel and N. Courty},
  journal={ArXiv},
  year={2019},
  volume={abs/1905.10124}
}
  • Titouan Vayer, Rémi Flamary, +2 authors N. Courty
  • Published 2019
  • Computer Science, Mathematics
  • ArXiv
  • Recently used in various machine learning contexts, the Gromov-Wasserstein distance (GW) allows for comparing distributions that do not necessarily lie in the same metric space. [...] Key Method We first derive a closed form for GW when dealing with 1D distributions, based on a new result for the related quadratic assignment problem.Expand Abstract
    Gromov-Wasserstein Factorization Models for Graph Clustering
    • H. Xu
    • Computer Science, Mathematics
    • 2020
    • 5
    • Highly Influenced
    • PDF
    Gromov-Wasserstein Averaging in a Riemannian Framework
    • 4
    • PDF
    Gromov-Monge quasi-metrics and distance distributions
    • 4
    • PDF
    Partial Gromov-Wasserstein with Applications on Positive-Unlabeled Learning
    • 2
    • PDF
    Fast and Robust Comparison of Probability Measures in Heterogeneous Spaces
    • 2
    • Highly Influenced
    • PDF
    Learning Autoencoders with Relational Regularization
    • 2
    • Highly Influenced
    • PDF
    Computationally Efficient Tree Variants of Gromov-Wasserstein

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 53 REFERENCES
    Automatic differentiation in PyTorch
    • 6,679
    Wasserstein Generative Adversarial Networks
    • 2,028
    • PDF
    Sinkhorn Distances: Lightspeed Computation of Optimal Transport
    • 992
    • PDF
    Optimal Transport: Old and New
    • 3,451
    Stochastic Optimization for Large-scale Optimal Transport
    • 192
    • PDF
    Computational Optimal Transport
    • 510
    • PDF
    Optimal Transport for Domain Adaptation
    • 358
    • PDF
    Gromov–Wasserstein Distances and the Metric Approach to Object Matching
    • 185
    • PDF
    Wasserstein Barycenter and Its Application to Texture Mixing
    • 284
    • PDF
    Gromov-Wasserstein Averaging of Kernel and Distance Matrices
    • 89
    • Highly Influential
    • PDF