149 citations · 177 across the 5 of their papers we have counts for
5 papers
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"…
Radon cumulative distribution transform subspace modeling for image classification
Mohammad Shifat-E-Rabbi, Xuwang Yin, Abu Hasnat Mohammad Rubaiyat +5
We present a new supervised image classification method applicable to a broad class of image deformation models. The method makes use of the previously described Radon Cumulative D…
An optimal transport model for imaging in atmospheric turbulence
Jonathan M. Nichols, Abbie T. Watnik, Timothy Doster +4
We describe a new model for image propagation through open air in the presence of changes in the index of refraction (e.g. due to turbulence) using the theory of optimal transport.…
Reducing Basis Mismatch in Harmonic Signal Recovery via Alternating Convex Search
Jonathan M. Nichols, Albert K. Oh, Rebecca M. Willett
The theory behind compressive sampling pre-supposes that a given sequence of observations may be exactly represented by a linear combination of a small number of basis vectors. In…
A Unified Approach to Attractor Reconstruction
Louis M. Pecora, Linda Moniz, Jonathan Nichols +1
In the analysis of complex, nonlinear time series, scientists in a variety of disciplines have relied on a time delayed embedding of their data, i.e. attractor reconstruction. The…