4 papers
Linear optimal transport subspaces for point set classification
Mohammad Shifat E Rabbi, Naqib Sad Pathan, Shiying Li +3
Learning from point sets is an essential component in many computer vision and machine learning applications. Native, unordered, and permutation invariant set structure space is ch…
Data-driven Identification of Parametric Governing Equations of Dynamical Systems Using the Signed Cumulative Distribution Transform
Abu Hasnat Mohammad Rubaiyat, Duy H. Thai, Jonathan M. Nichols +6
This paper presents a novel data-driven approach to identify partial differential equation (PDE) parameters of a dynamical system. Specifically, we adopt a mathematical "transport"…
The Radon Signed Cumulative Distribution Transform and its applications in classification of Signed Images
Le Gong, Shiying Li, Naqib Sad Pathan +4
Here we describe a new image representation technique based on the mathematics of transport and optimal transport. The method relies on the combination of the well-known Radon tran…
A sliced-Wasserstein distance-based approach for out-of-class-distribution detection
Mohammad Shifat E Rabbi, Abu Hasnat Mohammad Rubaiyat, Yan Zhuang +1
There exist growing interests in intelligent systems for numerous medical imaging, image processing, and computer vision applications, such as face recognition, medical diagnosis,…