3 papers
q-bio.NC2024
Low-Rank + Sparse Decomposition (LR+SD) for EEG Artifact Removal
Jerome Gilles, Travis Meyer, Pamela K. Douglas
Concurrent EEG-fMRI recordings are advantageous over serial recordings, as they offer the ability to explore the relationship between both signals without the compounded effects of…
math.FA2024
2D Empirical Transforms. Wavelets, Ridgelets and Curvelets revisited
Jerome Gilles, Giang Tran, Stanley Osher
A recently developed new approach, called ``Empirical Wavelet Transform'', aims to build 1D adaptive wavelet frames accordingly to the analyzed signal. In this paper, we present se…
math.FA2024
Empirical wavelet frames
Jerome Gilles, Richard Castro
Due to their adaptive nature, empirical wavelets had several successes in many fields from engineering, science, medical signal/image processing. Recently, a general theoretical fr…