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We consider the problem of learning sparsely used dictionaries with an arbitrary square dictionary and a random, sparse coefficient matrix. We prove that O(n log n) samples are sufficient to uniquely determine the coefficient matrix. Based on this proof, we design a polynomial-time algorithm , called Exact Recovery of Sparsely-Used Dictionaries (ER-SpUD),(More)
A large family of algorithms for dimensionality reduction end with solving a Trace Ratio problem in the form of arg max<sub>W</sub> Tr(W<sup>T</sup> S<sub>P</sub>W)/Tr(WT S<sub>I</sub>W)<sup>1</sup>, which is generally transformed into the corresponding Ratio Trace form arg max<sub>W</sub> Tr[ (W<sup>T</sup>S<sub>I</sub>W)<sup>-1</sup> (WTS<sub>P</sub>W) ](More)
Long intergenic noncoding RNAs (lincRNAs) transcribed from intergenic regions of yeast and animal genomes play important roles in key biological processes. Yet, plant lincRNAs remain poorly characterized and how lincRNA biogenesis is regulated is unclear. Using a reproducibility-based bioinformatics strategy to analyze 200 Arabidopsis thaliana transcriptome(More)
In this paper, we take the human age and pose estimation problems as examples to study automatic designing regressor from training samples with uncertain nonnegative labels. First, the nonnegative label is predicted as the square norm of a matrix, which is bilinearly transformed from the nonlinear mappings of the candidate kernels. Two transformation(More)
Diabetic-related eye diseases are the most common cause of blindness in the world. So far the most effective treatment for these eye diseases is early detection through regular screenings. To lower the cost of such screenings, we employ state-of-the-art image processing techniques to automatically detect the presence of abnormalities in the retinal images(More)
BACKGROUND Natural antisense transcripts (NATs) are coding or non-coding RNAs with sequence complementarity to other transcripts (sense transcripts). These RNAs could potentially regulate the expression of their sense partner(s) at either the transcriptional or post-transcriptional level. Experimental and computational methods have demonstrated the(More)
Recent research on long noncoding RNAs (lncRNAs) has expanded our understanding of gene transcription regulation and the generation of cellular complexity. Depending on their genomic origins, lncRNAs can be transcribed from intergenic or intragenic regions or from introns of protein-coding genes. We have recently reported more than 6000 intergenic lncRNAs(More)
Video text information plays an important role in semantic-based video analysis, indexing and retrieval. Video texts are closely related to the content of a video. Usually, the fundamental steps of text-based video analysis, browsing and retrieval consist of video text detection, localization, tracking, segmentation and recognition. Video sequences are(More)
Recently we demonstrated that PLC(epsilon) plays an important role in beta-adrenergic receptor (betaAR) stimulation of Ca(2+)-induced Ca(2+) release (CICR) in cardiac myocytes. Here we have reported for the first time that a pathway downstream of betaAR involving the cAMP-dependent Rap GTP exchange factor, Epac, and PLC(epsilon) regulates CICR in cardiac(More)