Quasiconvexity and Relaxation in Optimal Transportation of Closed Differential Forms
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01390-9
Abstract: This manuscript extends the relaxation theory from nonlinear elasticity to electromagnetism and to actions defined on paths of differential forms. The introduction of a gauge allows for a reformulation of the notion of quasiconvexity in… read more here.
Keywords: optimal transportation; differential forms; relaxation; quasiconvexity relaxation ... See more keywords
Robust clustering tools based on optimal transportation
Sign Up to like & getrecommendations! Published in 2019 at "Statistics and Computing"
DOI: 10.1007/s11222-018-9800-z
Abstract: A robust clustering method for probabilities in Wasserstein space is introduced. This new ‘trimmed k-barycenters’ approach relies on recent results on barycenters in Wasserstein space that allow intensive computation, as required by clustering algorithms to… read more here.
Keywords: space; based optimal; optimal transportation; tools based ... See more keywords
Analysis of seismic inversion with optimal transportation and softplus encoding
Sign Up to like & getrecommendations! Published in 2021 at "Inverse Problems"
DOI: 10.1088/1361-6420/ac1511
Abstract: This paper is devoted to the theoretical and numerical investigation of the local minimum problem in an inverse boundary value problem. We provide a mathematical analysis for the objective function of the optimal transportation type… read more here.
Keywords: softplus encoding; analysis; optimal transportation; inversion ... See more keywords
Multi-View Representation Learning via Dual Optimal Transportation
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3123078
Abstract: Recently, multi-view representation learning has gained rapid growth in various fields. Most of previous multi-view learning methods rely on strong notions of distances that often provide no useful gradients in deep network training, which greatly… read more here.
Keywords: view representation; representation learning; view; optimal transportation ... See more keywords
Cluster-Memory Augmented Deep Autoencoder via Optimal Transportation for Hyperspectral Anomaly Detection
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2022.3180548
Abstract: Hyperspectral anomaly detection (AD) aims to detect objects significantly different from their surrounding background. Recently, many detectors based on autoencoder (AE) exhibited promising performances in hyperspectral AD tasks. However, the fundamental hypothesis of the AE-based… read more here.
Keywords: memory; hyperspectral anomaly; optimal transportation; anomaly detection ... See more keywords