Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperspectral Image Restoration via Multi-mode and Double-weighted
  Tensor Nuclear Norm Minimization   Tensor nuclear norm (TNN) induced by tensor singular value decomposition
plays an important role in hyperspectral image (HSI) restoration tasks. In this
letter, we first consider three inconspicuous but crucial phenomenons in TNN.
In the Fourier transform domain of HSIs, different frequency components contain
different information; different singular values of each frequency component
also represent different information. The two physical phenomenons lie not only
in the spectral dimension but also in the spatial dimensions. Then, to improve
the capability and flexibility of TNN for HSI restoration, we propose a
multi-mode and double-weighted TNN based on the above three crucial
phenomenons. It can adaptively shrink the frequency components and singular
values according to their physical meanings in all modes of HSIs. In the
framework of the alternating direction method of multipliers, we design an
effective alternating iterative strategy to optimize our proposed model.
Restoration experiments on both synthetic and real HSI datasets demonstrate
their superiority against related methods.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an