Classification of atomic environments via the Gromov–Wasserstein distance
Sign Up to like & getrecommendations! Published in 2021 at "Computational Materials Science"
DOI: 10.1016/j.commatsci.2020.110144
Abstract: Interpreting molecular dynamics simulations usually involves automated classification of local atomic environments to identify regions of interest. Existing approaches are generally limited to a small number of reference structures and only include limited information about… read more here.
Keywords: wasserstein distance; classification; atomic environments; gromov wasserstein ... See more keywords
LPOT: Locality-Preserving Gromov-Wasserstein Discrepancy for Nonrigid Point Set Registration.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3231652
Abstract: The main problems in point registration involve recovering correspondences and estimating transformations, especially in a fully unsupervised way without any feature descriptors. In this work, we propose a robust point matching method using discrete optimal… read more here.
Keywords: gromov wasserstein; registration; point; wasserstein discrepancy ... See more keywords
Representing Graphs via Gromov-Wasserstein Factorization
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"
DOI: 10.1109/tpami.2022.3153126
Abstract: Graph representation is a challenging and significant problem for many real-world applications. In this work, we propose a novel paradigm called “Gromov-Wasserstein Factorization” (GWF) to learn graph representations in a flexible and interpretable way. Given… read more here.
Keywords: gromov wasserstein; factorization; graph; model ... See more keywords
Computing the Gromov-Wasserstein Distance between Two Surface Meshes Using Optimal Transport
Sign Up to like & getrecommendations! Published in 2023 at "Algorithms"
DOI: 10.3390/a16030131
Abstract: The Gromov-Wasserstein (GW) formalism can be seen as a generalization of the optimal transport (OT) formalism for comparing two distributions associated with different metric spaces. It is a quadratic optimization problem and solving it usually… read more here.
Keywords: problem; gromov wasserstein; optimal transport; distance ... See more keywords