5 papers
Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov-Arnold Network ODEs and SINDy
Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3
We consider epidemic and ecological models to investigate their coupled dynamics. Starting with the classical Susceptible-Infected-Recovered (SIR) model for basic epidemic behavior…
Multiscale method for image denoising using nonlinear diffusion process: local denoising and spectral multiscale basis functions
Maria Vasilyeva, Aleksei Krasnikov, Kelum Gajamannage +1
We consider image denoising using a nonlinear diffusion process, where we solve unsteady partial differential equations with nonlinear coefficients. The noised image is given as an…
Efficient and Robust Remote Sensing Image Denoising Using Randomized Approximation of Geodesics' Gramian on the Manifold Underlying the Patch Space
Kelum Gajamannage, Dilhani I. Jayathilake, Maria Vasilyeva
Remote sensing images are widely utilized in many disciplines such as feature recognition and scene semantic segmentation. However, due to environmental factors and the issues of t…
Efficient Image Denoising by Low-Rank Singular Vector Approximations of Geodesics' Gramian Matrix
Kelum Gajamannage, Yonggi Park, S. M. Mallikarjunaiah +1
With the advent of sophisticated cameras, the urge to capture high-quality images has grown enormous. However, the noise contamination of the images results in substandard expectat…
Image Denoising Using the Geodesics' Gramian of the Manifold Underlying Patch-Space
Kelum Gajamannage
With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by…