Learning the governing equations in dynamical systems from time-varying measurements is of great interest across different scientific fields. This task becomes prohibitive when such data is moreover highly corrupted, for example, due to the recording mechanism failing over unknown intervals of time. When the underlying system exhibits chaotic behavior, such as sensitivity to initial conditions,...

For entropy-coded MPEG-4 images, a transmission error in a codeword may cause the underlying codeword and its subsequent codewords within a video packet to be misinterpreted, resulting in great degradation of the received MPEG-4 images. Here a transmission error may be a single-bit error or a burst error. In this study, a postprocessing approach to detection and concealment of transmission erro...

A mixed-variable optimization (MVO) approach to quantitative tomography was applied to experimental x-ray data. The results were found to be comparable to previous tests on synthetic data. The MVO method was tested for robustness to realistic data problems: actual radiographic occlusions, simulated amplified noise, and random pixel rejection. Significant levels of data corruption, which easily ...

Riassunto: La rilevazione dei dati, sia nel dominio del tempo che in quello dello spazio, dà luogo in molti casi ad osservazioni caratterizzate dalla presenza di un errore di misura. Una stima di tale componente, che impedisce l’osservazione del fenomeno oggetto di studio (segnale), deve necessariamente precedere l’identificazione del modello di interesse. Obiettivo del presente lavoro è quello...

This paper reviews resampling of nonuniformly sampled k-space data to a Cartesian grid and adds a new formula enabling quick computation of the shape parameter B of the KaiserBessel convolution window. In addition, a very recently conceived iterative estimation of the sampling density correction is explained and applied to sparse radial MRI scans. Keywords— rapid scanning, undersampling, griddi...

For an entropy-coded Joint Photographic Experts Group (JPEG) image, a transmission error in a codeword will not only affect the underlying codeword but also may affect subsequent codewords, resulting in a great degradation of the received image. In this study, an error resilient coding scheme for JPEG image transmission based on data embedding and side-match vector quantization (VQ) is proposed...

For entropy-coded H.26L video frames, a transmission error in a codeword will not only affect the underlying codeword but also may affect subsequent codewords, resulting in a great degradation of the received video frames. In this study, an error resilient coding scheme for H.26L video transmission based on data embedding is proposed. At the encoder, for an H.26L intra-coded I frame, the import...

The effect of noise on the learning performance of the backpropagation algorithm is analyzed. A selective sampling of the training set is proposed to maximize the learning of control laws by backpropagation, when the data have been corrupted by noise. The training scheme is applied to the nonlinear control of a cart-pole system in the presence of noise. The neural computation provides the neuro...

This paper studies the problem of recovering a signal vector and the corrupted noise vector from a collection of corrupted linear measurements through the solution of a l1 minimization (2.1.2), where the sensing matrix is a partial Fourier matrix whose rows are selected randomly and uniformly from rows of a full Fourier matrix. After choosing the parameter in (2.1.2) appropriately, we show that...