2 citations · 3 across the 6 of their papers we have counts for
8 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…
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…
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…
Real-time Forecasting of Time Series in Financial Markets Using Sequentially Trained Many-to-one LSTMs
Kelum Gajamannage, Yonggi Park
Financial markets are highly complex and volatile; thus, learning about such markets for the sake of making predictions is vital to make early alerts about crashes and subsequent r…
Geodesic Gramian Denoising Applied to the Images Contaminated With Noise Sampled From Diverse Probability Distributions
Yonggi Park, Kelum Gajamannage, Alexey Sadovski
As quotidian use of sophisticated cameras surges, people in modern society are more interested in capturing fine-quality images. However, the quality of the images might be inferio…
Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling
Yonggi Park, Kelum Gajamannage, Dilhani I. Jayathilake +1
Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary re…