Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-modal and frequency-weighted tensor nuclear norm for hyperspectral
  image denoising   Low-rankness is important in the hyperspectral image (HSI) denoising tasks.
The tensor nuclear norm (TNN), defined based on the tensor singular value
decomposition, is a state-of-the-art method to describe the low-rankness of
HSI. However, TNN ignores some of the physical meanings of HSI in tackling the
denoising tasks, leading to suboptimal denoising performance. In this paper, we
propose the multi-modal and frequency-weighted tensor nuclear norm (MFWTNN) and
the non-convex MFWTNN for HSI denoising tasks. Firstly, we investigate the
physical meaning of frequency components and reconsider their weights to
improve the low-rank representation ability of TNN. Meanwhile, we also consider
the correlation among two spatial dimensions and the spectral dimension of HSI
and combine the above improvements to TNN to propose MFWTNN. Secondly, we use
non-convex functions to approximate the rank function of the frequency tensor
and propose the NonMFWTNN to relax the MFWTNN better. Besides, we adaptively
choose bigger weights for slices mainly containing noise information and
smaller weights for slices containing profile information. Finally, we develop
the efficient alternating direction method of multiplier (ADMM) based algorithm
to solve the proposed models, and the effectiveness of our models are
substantiated in simulated and real HSI datasets.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph