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The Gromov--Hausdorff distance measures the difference in shape between compact metric spaces.
Distances between banach spaces
Nigel J Kalton and Mikhail I Ostrovskii · 1999
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Ihor Zarichnyi · 2005
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On the use of gromov-hausdorff distances for shape comparison
Facundo Mémoli · 2007
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Gromov-hausdorff stable signatures for shapes using persistence
Frédéric Chazal, David Cohen-Steiner, Leonidas J Guibas, Facundo Mémoli, and Steve Y Oudot · 2009
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A gromov-hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching
Alexander M Bronstein, Michael M Bronstein, Ron Kimmel, Mona Mahmoudi, and Guillermo Sapiro · 2010
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Gromov–wasserstein distances and the metric approach to object matching
Facundo Mémoli · 2011
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Persistent brain network homology from the perspective of dendrogram
Hyekyoung Lee, Hyejin Kang, Moo K Chung, Bung-Nyun Kim, and Dong Soo Lee · 2012
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Some properties of gromov–hausdorff distances
Facundo Mémoli · 2012
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Geometry of compact metric space in terms of gromov-hausdorff distances to regular simplexes
Alexander O Ivanov and Alexey A Tuzhilin · 2016
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Gromov-wasserstein averaging of kernel and distance matrices
Gabriel Peyré, Marco Cuturi, and Justin Solomon · 2016
Cited alongside, same era.
A polynomial-time relaxation of the gromov-hausdorff distance
Soledad Villar, Afonso S Bandeira, Andrew J Blumberg, and Rachel Ward · 2016
Cited alongside, same era.
Topological distances between brain networks
Moo K Chung, Hyekyoung Lee, Victor Solo, Richard J Davidson, and Seth D Pollak · 2017
Cited alongside, same era.
Computational aspects of the gromov–hausdorff distance and its application in non-rigid shape matching
Felix Schmiedl · 2017
Cited alongside, same era.
Computing the gromov-hausdorff distance for metric trees
Pankaj K Agarwal, Kyle Fox, Abhinandan Nath, Anastasios Sidiropoulos, and Yusu Wang · 2018
Cited alongside, same era.
The gromov–wasserstein distance between networks and stable network invariants
Samir Chowdhury and Facundo Mémoli · 2019
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The gromov-hausdorff distances between simplexes and ultrametric spaces
Alexander O Ivanov and Alexey A Tuzhilin · 2019
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The gromov–hausdorff distance between simplexes and two-distance spaces
AO Ivanov and AA Tuzhilin · 2019
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Gromov-hausdorff distances on p p -metric spaces and ultrametric spaces
Facundo Mémoli, Zane Smith, and Zhengchao Wan · 2019
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Efficient estimation of a gromov–hausdorff distance between unweighted graphs
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David Alvarez-Melis and Tommi S Jaakkola · 2018
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Characterizing images by the gromov-hausdorff distances between derived hierarchies
Amin Fehri, Santiago Velasco-Forero, and Fernand Meyer · 2018
Cited alongside, same era.
Optimal transport for structured data with application on graphs
Titouan Vayer, Laetitia Chapel, Rémi Flamary, Romain Tavenard, and Nicolas Courty · 2018
Cited alongside, same era.
Learning generative models across incomparable spaces
Charlotte Bunne, David Alvarez-Melis, Andreas Krause, and Stefanie Jegelka · 2019
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Vladyslav Oles, Nathan Lemons, and Alexander Panchenko · 2019
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Titouan Vayer, Rémi Flamary, Romain Tavenard, Laetitia Chapel, and Nicolas Courty · 2019
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Scalable gromov-wasserstein learning for graph partitioning and matching
Hongteng Xu, Dixin Luo, and Lawrence Carin · 2019
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Gromov-wasserstein learning for graph matching and node embedding
Hongteng Xu, Dixin Luo, Hongyuan Zha, and Lawrence Carin Duke · 2019
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Fused gromov-wasserstein distance for structured objects
Titouan Vayer, Laetitia Chapel, Rémi Flamary, Romain Tavenard, and Nicolas Courty · 2020
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