Blind super-resolution of point sources via fast iterative hard thresholding
نویسندگان
چکیده
منابع مشابه
Accelerated iterative hard thresholding
The iterative hard thresholding algorithm (IHT) is a powerful and versatile algorithm for compressed sensing and other sparse inverse problems. The standard IHT implementation faces two challenges when applied to practical problems. The step size parameter has to be chosen appropriately and, as IHT is based on a gradient descend strategy, convergence is only linear. Whilst the choice of the ste...
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The robust PCA problem, wherein, given an input data matrix that is the superposition of a low-rank matrix and a sparse matrix, we aim to separate out the low-rank and sparse components, is a well-studied problem in machine learning. One natural question that arises is that, as in the inductive setting, if features are provided as input as well, can we hope to do better? Answering this in the a...
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Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding algorithm when applied to the compressed sensing recovery problem. We show that the algorithm has the following properties (made more precise in the main text o...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2023
ISSN: ['1539-6746', '1945-0796']
DOI: https://doi.org/10.4310/cms.2023.v21.n2.a13