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In this paper, we propose a new sparsity regularizer for measuring the low-rank structure underneath a tensor. The proposed sparsity measure has a natural physical meaning which is intrinsically the size of the fundamental Kronecker basis to express the tensor. By embedding the sparsity measure into the tensor completion and tensor robust PCA frameworks, we(More)
For large sparse saddle point problems, we firstly introduce the block diagonally preconditioned Gauss–Seidl method (PBGS) which reduces to the GSOR method [Z.-Z. Bai, B.N. Parlett, Z.-Q. Wang, On generalized successive overrelaxation methods for augmented linear systems, Numer. Math. 102 (2005) 1–38] and PIU method [Z.-Z. Bai, Z.-Q. Wang, On parameterized(More)
The transition of embryonic stem cell (ESC) pluripotency to differentiation is accompanied by an expansion of mRNA and proteomic diversity. Post-transcriptional regulation of ESCs is critically governed by cell type-specific splicing. However, little is known about the splicing factors and the molecular mechanisms directing ESC early lineage(More)
In a first of a series of studies of the Hα + [NII] emission from nearby spiral galaxies, we present measurements of Hα + [NII] emission from HII regions in M81. Our method uses large-field-CCD images and long-slit spectra, and is part of the ongoing BeijingArizona-Taipei-Connecticut Sky Survey (the BATC survey). The CCD images are taken with the NAOC(More)
In this paper, we present a multi-color photometric study of the nearby spiral galaxy M81, using images obtained with the Beijing Astronomical Observatory 60/90 cm Schmidt Telescope in 13 intermediate-band filters from 3800 to 10000Å. The observations cover the whole area of M81 with a total integration of 51 hours from February 1995 to February 1997. This(More)
In this paper, Uzawa-Lowmethod for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Lowmethod (CPU-Lowmethod) and obtain its convergence conditions as well. Experimental results show that the two proposed(More)