Coupling matrix manifolds assisted optimization for optimal transport problems

Optimal transport (OT) is a powerful tool for measuring the distance between two probability distributions. In this paper, we introduce a new manifold named as the coupling matrix manifold (CMM), where each point on this novel manifold can be regarded as a transportation plan of the optimal transpor...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Machine learning 2021-03, Vol.110 (3), p.533-558
Hauptverfasser:	Shi, Dai, Gao, Junbin, Hong, Xia, Boris Choy, S. T., Wang, Zhiyong
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Artificial Intelligence Computer Science Control Coupling Entropy Fisher information Linear programming Machine Learning Manifolds (mathematics) Mechatronics Natural Language Processing (NLP) Optimization Robotics Simulation and Modeling
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!