Data representation with optimal transport
arxiv:2406.15503v1 [math.OC] 19 Jun 2024 Page 1 Data representation with optimal
transport Rocıo Dıaz Martın[0000−0002−3732−6296] and Ivan Vladimir Medri[0000−0003−2419−2193] …
transport Rocıo Dıaz Martın[0000−0002−3732−6296] and Ivan Vladimir Medri[0000−0003−2419−2193] …
Data-driven identification of parametric governing equations of dynamical systems using the signed cumulative distribution transform
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” …
(PDE) parameters of a dynamical system. Specifically, we adopt a mathematical “transport” …
Transport-based morphometry of nuclear structures of digital pathology images in cancers
MSE Rabbi, N Ironside, JA Ozolek, R Singh… - arxiv preprint arxiv …, 2023 - arxiv.org
Alterations in nuclear morphology are useful adjuncts and even diagnostic tools used by
pathologists in the diagnosis and grading of many tumors, particularly malignant tumors …
pathologists in the diagnosis and grading of many tumors, particularly malignant tumors …
Efficient predefined time adaptive neural network for motor execution EEG signal classification based brain-computer interaction
Nowadays, Electroencephalogram (EEG) devices that do not require invasive procedures
get more attraction. Brain-Computer Interface (BCI) systems use EEG analysis to identify …
get more attraction. Brain-Computer Interface (BCI) systems use EEG analysis to identify …
System Identification Using the Signed Cumulative Distribution Transform In Structural Health Monitoring Applications
This paper presents a novel, data-driven approach to identifying partial differential equation
(PDE) parameters of a dynamical system in structural health monitoring applications …
(PDE) parameters of a dynamical system in structural health monitoring applications …
The Radon Signed Cumulative Distribution Transform and its applications in classification of Signed Images
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 …
transport and optimal transport. The method relies on the combination of the well-known …
[HTML][HTML] Linear optimal transport subspaces for point set classification
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 …
learning applications. Native, unordered, and permutation invariant set structure space is …
Geodesic Properties of a Generalized Wasserstein Embedding for Time Series Aanalysis
Transport-based metrics and related embeddings (transforms) have recently been used to
model signal classes where nonlinear structures or variations are present. In this paper, we …
model signal classes where nonlinear structures or variations are present. In this paper, we …
Linear optimal transport subspaces for point set classification
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 …
learning applications. Native, unordered, and permutation invariant set structure space is …