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We consider the class of iterative shrinkage-thresholding algorithms (ISTA) for solving linear inverse problems arising in signal/image processing. This class of methods, which can be viewed as an extension of the classi...

Materias / palabras clave: Partial differential equation; Nonlinear system; Artificial neural network; Context (archaeology); Inverse problem; Partial derivative; Computer science; Automatic differentiation; Applied mathematics; Physical law; Math...

In recent years there has been a growing interest in the study of sparse representation of signals. Using an overcomplete dictionary that contains prototype signal-atoms, signals are described by sparse linear combinatio...

One of the problems which has plagued those attempting to predict the behavior of capital markets is the absence of a body of positive microeconomic theory dealing with conditions of risk. Although many useful insights c...

Many problems of recent interest in statistics and machine learning can be posed in the framework of convex optimization. Due to the explosion in size and complexity of modern datasets, it is increasingly important to be...

Image-to-image translation is a class of vision and graphics problems where the goal is to learn the mapping between an input image and an output image using a training set of aligned image pairs. However, for many tasks...

Materias / palabras clave: applied mathematics, computational mathematics, numerical methods, inverse problems, boundary value problems, nonlinear problems; Science: Mathematics: Analysis